A Car Salesman sold $450000.00 in cars for the month of July.
He is paid a monthly salary of $6000.00 and 5% commission on
total sales. How much did he earn in July?​

Answers

Answer 1

Answer:

$28,500

Step-by-step explanation:

$6,000 + 5% of $450,000 =

= $6,000 + 0.05 * $450,000

= $6,000 + $22,500

= $28,500

Answer 2
$450,000 x 0.05 = $22,500
$22,500 + $6000 = $28,500
Therefore he earned $28,500 in July.

Related Questions

Help me!!! please!!! ​

Answers

Answer:

a) The five ordered pairs are:-

(1,60) , (2,120) , (3,180) , (4,240) , (5,300)

b)When You divide the y value by x value for each ordered pair u find the slope.

c)The graph shows a proportional relationship.Because as x-value increases so does y-value.

d)Y=mx+b-->  Y=60x (No y-intercept because it starts from 0)

e)If a person hiked for 9 hours then the distance would be 540. Because If u plug in the number of hours in the x value of the equatione then u will get 540. Here's the work:-

Y=60(9)

Y=540

Step-by-step explanation:

Hope it helps u. And if u get it right pls give me brainliest.

1. There are a total of 230 mint and chocolate sweets in a jar. 60% of the total number of sweets were mint sweets. After more chocolate sweets were added into the jar, the percentage of the mint sweets in the jar decreased to 40% How many chocolate sweets were added into the jar?
2. In August, 36% of the people who visited the zoo were locals and the rest were foreigners. In September, the percentage of local visitors decreased by 25% while the percentage of foreign participants increased by 50%. In the end, there were 161 fewer visitors in August than in September. How many visitors were there in September?

Answers

Answer:

1. 115 chocolates were added

2. 861 visitors in September

Step-by-step explanation:

1.

Initially:

m=number of mints

60% of 230 sweets were mints  =>

m = 230*0.6 = 138 mints

initial number of chocolates, c1  =  230 - 138 = 92

Now chocolates were added

138 mints represented 40% of the total number of sweets, so

total number of sweets  = 138 / 0.4 = 345

Number of chocolates added = 345 - 230 = 115

2.

In August 36% were locals, 64% were from elsewhere.

In suptember,

locals decreassed by 25% to 36*0.75=27% (of August total)

foreigner increased by 50% to 64*1.5=96% (of August total)

Total Inrease = 96+27-100 = 23% of August total  = 161 visitors

August total = 161/0.23 = 700 visitors

September total = 700 + 161 = 861 visitors

what is 328.1 × 0.63 what answer

Answers

Answer:206.703

Step-by-step explanation: you have to multiply 328.1 times 0.63 then you get your answer.

Answer:

206.703

Step-by-step explanation:

328.1 × 0.63=206.703

One positive integer is 6 less than twice another. The sum of their squares is 801. Find the integers

Answers

Answer:

[tex]\large \boxed{\sf 15 \ \ and \ \ 24 \ \ }[/tex]

Step-by-step explanation:

Hello,

We can write the following, x being the second number.

[tex](2x-6)^2+x^2=801\\\\6^2-2\cdot 6 \cdot 2x + (2x)^2+x^2=801\\\\36-24x+4x^2+x^2=801\\\\5x^2-24x+36-801=0\\\\5x^2-24x-765=0\\\\[/tex]

Let's use the discriminant.

[tex]\Delta=b^4-4ac=24^2+4*5*765=15876=126^2[/tex]

There are two solutions and the positive one is

[tex]\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\dfrac{24+126}{10}=\dfrac{150}{10}=15[/tex]

So the solutions are 15 and 15*2-6 = 30-6 = 24

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Laura wants to place one flower every 3/4 meters along the path from the gate to the main entrance of her home. The path is 12 meters long. How many flowerpots will she need?

Answers

Answer:

16 flowerpots

Step-by-step explanation:

12 divided by 3/4=16

the domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values excpet 2. what are the restrictions on the domain of (u•v)(x)?

Answers

Answer:

[tex](-\infty, 0) \cup (0,2) \cup (2,\infty)[/tex]

Step-by-step explanation:

Remember that the domain of the product of functions is the intersection of domains, therefore when you intercept them you get the following interval.

[tex](-\infty, 0) \cup (0,2) \cup (2,\infty)[/tex]

Albert's Cafe uses 5 bags of coffee every day. How many days will 5/8 of a bag of coffee last?

Answers

Answer:

1 day.

Step-by-step explanation:

Given:

Albert's cafe uses 5 bags of coffee every day.

Required:

How many days will 5/8 bag of coffee last?

'How many days will 5/8 bag of coffee last?'

In this sentence we can see that there are 8 bags of coffee. The question in other words is Albert's Cafe is using 5 bags of coffee out of the 8 bags of coffee, and how many days will these last.

In the given we can see that the Cafe uses 5 bags of coffee per day, so the answer is 1 day.

Hope this helps ;) ❤❤❤

Use multiplication or division of power series to find the first three nonzero terms in the maclaurin series for the given function. (Enter your answers as a comma-separated list.)
y=(e^-x^2)cosx

Answers

Answer:

1 , - ( 3x^2/2), + (25x^4/24).

Step-by-step explanation:

We are given the following information:

y = (e^-x^2)cosx.

STEP ONE: Write out the power series out(either by deriving it or otherwise).

If you check the power series table, you will get the power series for the two functions that is cos x and e^-x^2.

e^-x^2 = 1 - (x^2) + ( x^4/2! ) - (x^6/3!) +...

Cos x = 1 - (x^2/2!) + x^4/4!) + (x^6/6!) -...

STEP TWO: Multiply both the power series of e^-x^2 and Cos x together because we are to determine or find the first three nonzero terms in the maclaurin series for the given function.

1 - (x^2) + ( x^4/2! ) - (x^6/3!) +... - 1 - (x^2/2!) + x^4/4!) + (x^6/6!) -...

= 1 - ( 3x^2/2) + (25x^4/24).

= 1, - ( 3x^2/2) , + (25x^4/24) => comma- separated list.

A political action committee is interested in the proportion of all registered voters who will vote "Yes" on a measure to expand the use of solar energy. Match the vocabulary word with its corresponding example.


__________The proportion of registered voters who will vote Yes on the measure.

__________The 1000 registered voters who participated in the study.

__________The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.

_________Yes or No for each registered voter All registered voters in the US

_________The list of Yes and No answers that were given by the 1000 participants in the study


a. Sample

b. Statistic

c. Parameter

d. Data

e. Variable

f. Population

Answers

Answer: parameter: The proportion of registered voters who will vote Yes on the measure.

Sample: The 1000 registered voters who participated in the study.

Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.

Variable: Yes or No for each registered voter

Population: All registered voters in the US

Data: The list of Yes and No answers that were given by the 1000 participants in the study.

Step-by-step explanation:

Definitions of the given terms:

Population: Large groups of individuals having similar characteristics as per the researcher's point of view.Sample: It is a subset of the population used to represent it.Parameter: Measure of particular characteristics in the population. Statistic: Measure of particular characteristics in the sample.Variable: Characteristics that vary.Data: A collected information facts and statistics.

Hence, by using the above definitions, we have

Parameter: The proportion of registered voters who will vote Yes on the measure.Sample: The 1000 registered voters who participated in the study. Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.Variable: Yes or No for each registered voter.Population: All registered voters in the US. Data: The list of Yes and No answers that were given by the 1000 participants in the study.

Amber says that the data set is left-skewed because the box is farther to the left on the number line. (A) Is Amber correct? (B) Explain your reasoning.

Answers

A distribution that is skewed left has exactly the opposite characteristics of one that is skewed right: the mean is typically less than the median; the tail of the distribution is longer on the left hand side than on the right hand side; and. the median is closer to the third quartile than to the first quartile.

What is the length of in the right triangle below?



A.
120

B.


C.


D.
218

Answers

Answer:

b. sqrt(120)

Step-by-step explanation:

a^2+b^2=c^2

a^2+7^2=13^2

13^2-7^2=a^2

120=a^2

sqrt(120)=a

This is using Pythagorean theorem

In an isolated environment, a disease spreads at a rate proportional to the product of the infected and non-infected populations. Let I(t) denote the number of infected individuals. Suppose that the total population is 2000, the proportionality constant is 0.0001, and that 1% of the population is infected at time t-0, write down the intial value problem and the solution I(t).
dI/dt =
1(0) =
I(t) =
symbolic formatting help

Answers

Answer:

dI/dt = 0.0001(2000 - I)I

I(0) = 20

[tex]I(t)=\frac{2000}{1+99e^{-0.2t}}[/tex]

Step-by-step explanation:

It is given in the question that the rate of spread of the disease is proportional to the product of the non infected and the infected population.

Also given I(t) is the number of the infected individual at a time t.

[tex]\frac{dI}{dt}\propto \textup{ the product of the infected and the non infected populations}[/tex]

Given total population is 2000. So the non infected population = 2000 - I.

[tex]\frac{dI}{dt}\propto (2000-I)I\\\frac{dI}{dt}=k (2000-I)I, \ \textup{ k is proportionality constant.}\\\textup{Since}\ k = 0.0001\\ \therefore \frac{dI}{dt}=0.0001 (2000-I)I[/tex]

Now, I(0) is the number of infected persons at time t = 0.

So, I(0) = 1% of 2000

            = 20

Now, we have dI/dt = 0.0001(2000 - I)I  and  I(0) = 20

[tex]\frac{dI}{dt}=0.0001(2000-I)I\\\frac{dI}{(2000-I)I}=0.0001 dt\\\left ( \frac{1}{2000I}-\frac{1}{2000(I-2000)} \right )dI=0.0001dt\\\frac{dI}{2000I}-\frac{dI}{2000(I-2000)}=0.0001dt\\\textup{Integrating we get},\\\frac{lnI}{2000}-\frac{ln(I-2000)}{2000}=0.0001t+k \ \ \ (k \text{ is constant})\\ln\left ( \frac{I}{I-222} \right )=0.2t+2000k[/tex]

[tex]\frac{I}{I-2000}=Ae^{0.2t}\\\frac{I-2000}{I}=Be^{-0.2t}\\\frac{2000}{I}=1-Be^{-0.2t}\\I(t)=\frac{2000}{1-Be^{-0.2t}}\textup{Now we have}, I(0)=20\\\frac{2000}{1-B}=20\\\frac{100}{1-B}=1\\B=-99\\ \therefore I(t)=\frac{2000}{1+99e^{-0.2t}}[/tex]

The required expressions are presented below:

Differential equation

[tex]\frac{dI}{dt} = 0.0001\cdot I\cdot (2000-I)[/tex] [tex]\blacksquare[/tex]

Initial value

[tex]I(0) = \frac{1}{100}[/tex] [tex]\blacksquare[/tex]

Solution of the differential equation

[tex]I(t) = \frac{20\cdot e^{\frac{t}{5} }}{1+20\cdot e^{\frac{t}{5} }}[/tex] [tex]\blacksquare[/tex]

Analysis of an ordinary differential equation for the spread of a disease in an isolated population

After reading the statement, we obtain the following differential equation:

[tex]\frac{dI}{dt} = k\cdot I\cdot (n-I)[/tex] (1)

Where:

[tex]k[/tex] - Proportionality constant[tex]I[/tex] - Number of infected individuals[tex]n[/tex] - Total population[tex]\frac{dI}{dt}[/tex] - Rate of change of the infected population.

Then, we solve the expression by variable separation and partial fraction integration:

[tex]\frac{1}{k} \int {\frac{dI}{I\cdot (n-I)} } = \int {dt}[/tex]

[tex]\frac{1}{k\cdot n} \int {\frac{dl}{l} } + \frac{1}{kn}\int {\frac{dI}{n-I} } = \int {dt}[/tex]

[tex]\frac{1}{k\cdot n} \cdot \ln |I| -\frac{1}{k\cdot n}\cdot \ln|n-I| = t + C[/tex]

[tex]\frac{1}{k\cdot n}\cdot \ln \left|\frac{I}{n-I} \right| = C\cdot e^{k\cdot n \cdot t}[/tex]

[tex]I(t) = \frac{n\cdot C\cdot e^{k\cdot n\cdot t}}{1+C\cdot e^{k\cdot n \cdot t}}[/tex], where [tex]C = \frac{I_{o}}{n}[/tex] (2, 3)

Note - Please notice that [tex]I_{o}[/tex] is the initial infected population.

If we know that [tex]n = 2000[/tex], [tex]k = 0.0001[/tex] and [tex]I_{o} = 20[/tex], then we have the following set of expressions:

Differential equation

[tex]\frac{dI}{dt} = 0.0001\cdot I\cdot (2000-I)[/tex] [tex]\blacksquare[/tex]

Initial value

[tex]I(0) = \frac{1}{100}[/tex] [tex]\blacksquare[/tex]

Solution of the differential equation

[tex]I(t) = \frac{20\cdot e^{\frac{t}{5} }}{1+20\cdot e^{\frac{t}{5} }}[/tex] [tex]\blacksquare[/tex]

To learn more on differential equations, we kindly invite to check this verified question: https://brainly.com/question/1164377

A shoes store sells three categories of shoes, Athletics, Boots and Dress shoes. The categories are stocked in the ratio of 5 to 2 to 3. If the store has 70 pairs of boots, how many shoes do they have in total?

Answers

Answer:

350 pairs

Step-by-step explanation:

If the ratio of Athletics, Boots, and Dress shoes is 5 to 2 to 3, it means that for every 2 pairs of Boots they have 5 pairs of Athletics shoes and 3 pairs of dress shoes.

So, if they have 70 pairs of boots, we can calculate the number of Athletics as:

[tex]\frac{5*70}{2} =175[/tex]

And if they have 70 pairs of boots, the number of dress shoes are:

[tex]\frac{3*70}{2}=105[/tex]

Finally, they have 70 pairs of boots, 175 pairs of athletics, and 105 pairs of dress shoes. It means that they have 350 pairs in total.

70 + 175 + 105 = 350

i know the answer i just need the working! please help...​

Answers

Answer: the empty basket's mass is 0.28 kg

=====================================================

Work Shown:

A = mass, in kg, of 1 apple

B = mass, in kg, of 1 empty basket

10A = mass of 10 apples

10A+B = mass of 10 apples and basket = 0.5

35A = mass of 35 apples

35A + B = mass of 35 apples and basket = 1.05

The system of equations we have is

[tex]\begin{cases}10A+B = 0.5\\35A+B = 1.05\end{cases}[/tex]

There are a number of ways to solve. As the top left corner of your paper indicates, we can use a matrix to solve. Either using row reduction or matrix inverse math.

We could also use elimination which I find easiest in this case. I'll use that method. Subtract the equations straight down. Note how the B terms become B-B = 0B = 0 which go away. The A terms become 10A-35A = -25A, and the terms on the right hand side become 0.5-1.05 = -0.55

--------

We're left with the equation

-25A = -0.55

Divide both sides by -25 to isolate A

A = -0.55/(-25)

A = 0.022

The mass of one apple is 0.022 kg

--------

Use this value of A to find B

10A + B = 0.5

10*0.022 + B = 0.5

0.22 + B = 0.5

B = 0.5 - 0.22

B = 0.28

Or we could use the other equation to solve for B

35A + B = 1.05

35(0.022) + B = 1.05

0.77 + B = 1.05

B = 1.05 - 0.77

B = 0.28

Either way, the empty basket's mass is 0.28 kg

Each week, Rosario drives to an ice-skating rink that is 60 miles away. The round-trip takes 2.75 hours. If he averages 55 miles per hour on his way to the rink, which equation can be used to find x, the number of miles per hour he averages on his way home?

Answers

Answer:

The answer to your question is x = 4d/t - S1

Step-by-step explanation:

Data

total time = t = 2.75 hours

Initial speed = S1 = 55 mi/h

Final speed = x

distance = d = 60 mi

Formula

speed = distance / time

Average speed = (Initial speed + final speed)/2  or

                          = (S1 + x)/2

Substitution

                             (S1 + x)/2 = 2(d) / t

Solve for x

                             x = (2d/t)2 - S1

Simplification and result

                              x = 4d/t - S1

According to Pew Research, 64% of American believe that fake news causes a great deal of confusion.Twenty Americans are selected at random.

Answers

True or false ? TRUE

write the statement for 6x-3=9​

Answers

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

           Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

The statement for [tex]6x - 3 = 9[/tex] is :

[tex]\boxed{Six (x) .minus. Three .equals. Nine.}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

James runs on the school track team he runs 4 2/3 miles and 3/4 of an hour. What is James' speed in miles per hour?

Answers

Answer:

6 2/9 miles per hour

Step-by-step explanation:

Take the miles and divide by the hours

4 2/3 ÷ 3/4

Change to an improper fraction

( 3*4+2)/3 ÷3/4

14/3 ÷3/4

Copy dot flip

14/3 * 4/3

56/9

Change back to a mixed number

9 goes into 56  6 times with 2 left over

6 2/9 miles per hour

Answer:

6 2/9 miles per hour

Step-by-step explanation:

Divide the miles by the hour.

4 2/3 ÷ 3/4

Reciprocal

4 2/3 × 4/3

Convert to improper fraction.

14/3 × 4/3

56/9

Convert to mixed fraction.

9 × 6 + 2

6 2/9

ANSWER FAST PLEASE HELP

Answers

Answer:

see below

Step-by-step explanation:

Because two sides are congruent, the triangle in the diagram is isosceles which means that angle c = angle e because of the Base Angles Theorem. We know that angle c = 63 degrees because we see that it's vertical to a 63 degree angle, and vertical angles. Since angle c = angle e, angle e = 63 degrees. Since angles e and b form a linear pair, they are supplementary, meaning that they add up to 180 degrees which means that angle b = 180 - 63 = 117 degrees. To find angle d, we notice that d and c are alternate interior angles, and since these angles are congruent in parallel lines, angle d = 63 degrees as well. To find angle a, we know that the sum of angles in a triangle is 180 degrees so angle a = 180 - 63 - 63 = 54 degrees.

See in the attachment.

A rectangle is 2 inches longer than it is wide. Numerically, its area exceeds its perimeter by 20. Find the perimeter. ____________________ in

Answers

Answer:28

Step-by-step explanation: 6 x 8 = 48 6+6+8+8=28

The perimeter of rectangle is 28 inches

What is Perimeter of rectangle?

The formula used to calculate the perimeter of a rectangle is, perimeter of a rectangle = 2(l + w), where 'l' is the length and 'w' is the width of the rectangle.

For example

The length of a bedsheet is 120 inches and the width is 85 inches. How much lace will be needed to put around its border?

Given, length = 120 inches; width = 85 inches.

Perimeter of a rectangle = 2(l + w).

On substituting the values of length and width in this formula, we get,

Perimeter = 2(l + w) = 2(120 + 85)= 2 × 205 = 410 inches.

Let he breadth be x

length= x+ 2

Area= Perimeter + 20

x² + 2x =  4x+ 4 + 20

x² - 2x -24  =  0

x² - 2x -24  =  0

(x- 6) (x+ 4)=0

x= 6, -4

So, length= 8 inches and breadth = 6 inches.

Hence, the Perimeter of rectangle= 2( 8 +6)= 2*14= 28 inches

Learn more about perimeter of rectangle here:

https://brainly.com/question/15287805

#SPJ2

Question 6 of 10
Which equation matches the graph of the greatest integer function given
below?

Answers

Answer: A

Explanation:

y = [x] - 2

Y intercept is at (0,-2) which matches the graph above

Please answer this correctly without making mistakes

Answers

Answer:

d = 115.4 mi

Step-by-step explanation:

Since it gives us the distance in between the locations, we simply label the distances:

From the Garbage to the Hotel is 58.3 miles.

From the Hotel to the Hardware Store is 57.1 miles.

We are trying to find the distance from the Garbage to the Hardware Store, we simply add the distances between:

58.3 mi + 57.1 mi = 115.4 mi

Frank’s been traveling a lot lately as part of his job. During the past 30 days,he’s been out of town 18 days. What fraction represents the number of the 30 days that frank has been out of town? Explain how you got your answer

Answers

Answer:

[tex]n = \frac{3}{5}[/tex]. Which means that Frank has been travelling out of the town 3 days for each five days.

Step-by-step explanation:

The fraction ([tex]n[/tex]) is obtained by dividing the number of days that Frank has been out of town (18 days) in the given period (30 days). That is to say:

[tex]n = \frac{t}{T}[/tex]

[tex]t[/tex] - Out-of-the-town period, measured in days.

[tex]T[/tex] - Given period, measured in days.

If [tex]t = 18\,days[/tex] and [tex]T = 30\,days[/tex], then:

[tex]n = \frac{18\,days}{30\,days}[/tex]

[tex]n = \frac{3}{5}[/tex]

Which means that Frank has been travelling out of the town 3 days for each five days.

The diagram shows a right triangle and three squares. The area of the largest square is 363636 units^2 2 squared. Which could be the areas of the smaller squares?

Answers

Answer:

The answers are A. and B.

Step-by-step explanation:

Since the area of the largest square is 36. We need two numbers that equal 36. and A. had 6 and 30 so i picked it and it was right and B. is 28 and 8 which also equals 36. But, C. is 4 and 16 which is not 36. So A. and B. are the answers. Hope this helps! :)

We can use the Pythagorean theorem (a^2+b^2=c^2)(a  

2

+b  

2

=c  

2

)left parenthesis, a, squared, plus, b, squared, equals, c, squared, right parenthesis to determine possible areas of the two smaller squares.

\text{Area of a square} =\text{side}^2Area of a square=side  

2

start text, A, r, e, a, space, o, f, space, a, space, s, q, u, a, r, e, end text, equals, start text, s, i, d, e, end text, squared

So, we can substitute the areas of the squares that share side lengths with the triangle for a^2, b^2a  

2

,b  

2

a, squared, comma, b, squared and c^2c  

2

c, squared in the Pythagorean theorem.

Hint #22 / 6

For example, in the diagram above, the area of the square that shares a side with the hypotenuse is 363636 square units. So, c^2=36c  

2

=36c, squared, equals, 36.

Hint #33 / 6

Let's fill in the possible values to see if they make the equation true.

\begin{aligned} a^2 + b^2 &= c^2 \\\\ a^2 + b^2 &= 36 \\\\ 6 + 30 &\stackrel{\large?}{=}36 \\\\ 36 &\stackrel{\checkmark}{=}36\\\\ \end{aligned}  

a  

2

+b  

2

 

a  

2

+b  

2

 

6+30

36

​  

 

=c  

2

 

=36

=

?

36

=

36

​  

 

The sum of the areas of the squares connected to the two shorter triangle sides is equal to the area of the square connected to the longest side.

So, 666 and 303030 could be the areas of the smaller squares.

Hint #44 / 6

\begin{aligned} a^2 + b^2 &= c^2 \\\\ a^2 + b^2 &= 36 \\\\ 8 + 28 &\stackrel{\large?}{=}36 \\\\ 36 &\stackrel{\checkmark}{=}36\\\\ \end{aligned}  

a  

2

+b  

2

 

a  

2

+b  

2

 

8+28

36

​  

 

=c  

2

 

=36

=

?

36

=

36

​  

 

The sum of the areas of the squares connected to the two shorter triangle sides is equal to the area of the square connected to the longest side.

So, 888 and 282828 could be the areas of the smaller squares.

Hint #55 / 6

\begin{aligned} a^2 + b^2 &= c^2 \\\\ a^2 + b^2 &= 36 \\\\ 4 + 16 &\stackrel{\large?}{=}36 \\\\ 20 &\neq 36\\\\ \end{aligned}  

a  

2

+b  

2

 

a  

2

+b  

2

 

4+16

20

​  

 

=c  

2

 

=36

=

?

36

​  

=36

​  

 

The sum of the areas of the squares connected to the two shorter triangle sides is not equal to the area of the square connected to the longest side.

So, 444 and 161616 could not be the areas of the smaller squares.

Hint #66 / 6

The area of the smaller squares could be:

666 and 303030

888 and 2828

A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed of the film and believes that this can be achieved by reducing the thickness of the film to 20 mils. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured. For the 25-mil film, the sample data result is: Mean Standard deviation 1.15 0.11 For the 20-mil film the data yield: Mean Standard deviation 1.06 0.09 *Note: An increase in film speed would lower the value of the observation in microjoules per square inch. We may also assume the speeds of the film follow a normal distribution. Use this information to construct a 98% interval estimate for the difference in mean speed of the films. Does decreasing the thickness of the film increase the speed of the film?

Answers

Answer:

A 98% confidence interval estimate for the difference in mean speed of the films is [-0.042, 0.222].

Step-by-step explanation:

We are given that Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured.

For the 25-mil film, the sample data result is: Mean Standard deviation 1.15 0.11 and For the 20-mil film the data yield: Mean Standard deviation 1.06 0.09.

Firstly, the pivotal quantity for finding the confidence interval for the difference in population mean is given by;

                     P.Q.  =  [tex]\frac{(\bar X_1 -\bar X_2)-(\mu_1- \mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }[/tex]  ~  [tex]t__n_1_+_n_2_-_2[/tex]

where, [tex]\bar X_1[/tex] = sample mean speed for the 25-mil film = 1.15

[tex]\bar X_1[/tex] = sample mean speed for the 20-mil film = 1.06

[tex]s_1[/tex] = sample standard deviation for the 25-mil film = 0.11

[tex]s_2[/tex] = sample standard deviation for the 20-mil film = 0.09

[tex]n_1[/tex] = sample of 25-mil film = 8

[tex]n_2[/tex] = sample of 20-mil film = 8

[tex]\mu_1[/tex] = population mean speed for the 25-mil film

[tex]\mu_2[/tex] = population mean speed for the 20-mil film

Also,  [tex]s_p =\sqrt{\frac{(n_1-1)s_1^{2}+ (n_2-1)s_2^{2}}{n_1+n_2-2} }[/tex] = [tex]\sqrt{\frac{(8-1)\times 0.11^{2}+ (8-1)\times 0.09^{2}}{8+8-2} }[/tex] = 0.1005

Here for constructing a 98% confidence interval we have used a Two-sample t-test statistics because we don't know about population standard deviations.

So, 98% confidence interval for the difference in population means, ([tex]\mu_1-\mu_2[/tex]) is;

P(-2.624 < [tex]t_1_4[/tex] < 2.624) = 0.98  {As the critical value of t at 14 degrees of

                                             freedom are -2.624 & 2.624 with P = 1%}  

P(-2.624 < [tex]\frac{(\bar X_1 -\bar X_2)-(\mu_1- \mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }[/tex] < 2.624) = 0.98

P( [tex]-2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }[/tex] < [tex]2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }[/tex] <  ) = 0.98

P( [tex](\bar X_1-\bar X_2)-2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }[/tex] < ([tex]\mu_1-\mu_2[/tex]) < [tex](\bar X_1-\bar X_2)+2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }[/tex] ) = 0.98

98% confidence interval for ([tex]\mu_1-\mu_2[/tex]) = [ [tex](\bar X_1-\bar X_2)-2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }[/tex] , [tex](\bar X_1-\bar X_2)+2.624 \times {s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }[/tex] ]

= [ [tex](1.15-1.06)-2.624 \times {0.1005 \times \sqrt{\frac{1}{8}+\frac{1}{8} } }[/tex] , [tex](1.15-1.06)+2.624 \times {0.1005 \times \sqrt{\frac{1}{8}+\frac{1}{8} } }[/tex] ]

 = [-0.042, 0.222]

Therefore, a 98% confidence interval estimate for the difference in mean speed of the films is [-0.042, 0.222].

Since the above interval contains 0; this means that decreasing the thickness of the film doesn't increase the speed of the film.

helpppp with this will give bralienst but need hurry

Answers

Answer:

20.25is how much each friend gets.

Step-by-step explanation:

40.50/2 = 20.25

You have to divide by 2. This way both of the people will get the same amount of money.

Answer:

each friend will get

Step-by-step explanation:

20 .25

as 40 .50 ÷ 2 = 20 .25

hope this helps

pls can u heart and like and give my answer brainliest pls i beg u thx !!! : )

Find the average rate of change of the function f(x), represented by the graph, over the interval [-4, -1]. Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula . The value of f(-1) is . The value of f(-4) is . The average rate of change of f(x) over the interval [-4, -1] is .

Answers

Answer:

2

Step-by-step explanation:

We are given that a graph which represents f(x).

Interval:[-4,-1]

We have to find the average rate of   change of the function f(x).

From the graph we can see that

f(-4)=-3

f(-1)=3

We know that the average rate of change of the function

Average rate =[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Using the formula

Average rate of change of f=[tex]\frac{3-(-3)}{-1-(-4)}[/tex]

Average rate of change of f=[tex]\frac{6}{3}=2[/tex]

Determine the amount of paint required to cover a wall that is 11feet high and 15feet wide, if the wall has two rectangular windows (which are not to be painted), each measuring 3feet by 7feet.

Answers

Answer:

123 Square Feet. Of Paint. Probably gonna take a little more than a sample-size quart, let me know how it turns out.

Step-by-step explanation:

You would need 11*15=165 square feet of paint. BUT

You need 42 less square feet, because there are 2, 7*3=21 square-foot windows.

165-42

4
Consider the following equation.
-)* + 12 = 25 – 3
Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point.
12
X
12
A I=
33
Edmentum. All rights reserved.

Answers

The answer would have to be 12

The solution to the equation above using three iterations of successive approximation is x = 25/16

What is an equation solution?

The solution of an equation is the true values of the equation

The equation is given as:

[tex]5^{-x} + 7 =2x + 4[/tex]

Equate to 0

[tex]5^{-x} + 7 -2x - 4 = 0[/tex]

Write the equation as a function

[tex]f(x) = 5^{-x} + 7 -2x - 4[/tex]

The equation has a solution only when the function f(x) equals 0.

From the graph, we have:

x = 1.5

So, we have:

[tex]f(1.5) = 5^{-1.5} + 7 -2*1.5 - 4[/tex]

Evaluate

f(1.5) = 0.089

Set x to 1.52 to determine a closer value of f(x) to 0.

[tex]f(1.52) = 5^{-1.52} + 7 -2*1.52 - 4[/tex]

Evaluate

f(1.52) = 0.047

Set x to 1.54 to determine a closer value of f(x) to 0.

[tex]f(1.54) = 5^{-1.54} + 7 -2*1.54 - 4[/tex]

Evaluate

f(1.54) = 0.004

Notice that 0.004 is closer to 0 than 0.047 and 0.089

The closest value to 1.54 is 25/16 in the given options

Hence, the solution to the equation above using three iterations of successive approximation is x = 25/16

Read more about equation solutions at:

https://brainly.com/question/14174902

#SPJ2

The bar graph below shows trends in several economic indicators over the period . Over the​ six-year period, about what was the highest consumer price​ index, and when did it​ occur? Need help with both questions!

Answers

Please answer answer question answer answer me please answer answer please please thank lord lord thank lord please please thank you lord lord thank you please thank lord please thank
Other Questions
5x-2y = -25 Solve by linear combination please show work 4. Which of the following does not require the use of a hyphen(s).a) mother-in-lawb) bookstorec) state-of-the-artd) Award-winning Based on the population density maps above, what is true about Britains population over time? A. It has decreased. B. The population density is now the same everywhere in Britain. C. More people have moved to urban areas. D. The west coast has long been the most populated area. Two functions can be linked together by using the output of the first functionas the input of the second function. Which term describes this process?A. Input/outputB. RelationC. DomainD. Composition Most businesses follow a logical process when performing the planning function. It is important to understand ________, before embarking upon creating future long-term goals, objectives, and strategies. Multiple Choice the current situation how to measure objectives how to evaluate job descriptions and specifications the needs of secondary suppliers Which ordered pair is a solution of this equation 6x-y=-4 . -2,0 -1,-2 -2,-1 0, -2 Weakening a response by imposing unpleasant consequences is called PLEASE HELP!!!!!!!Find the Volume of the sphere rounded to the nearest hundredth Which graphs is represent functions? HELP PLEASEEEEEEEEEEEEE! Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 cm. The cylinder has a radius of 3.3 cm and a height of 10 cm. Determine which container uses less material to make and find out which container holds more soup. Create a design for each container shape. Be sure to name your soup! what's the thickness of a rectangle prism with a height of 12 inches, a width of 8 inches and surface area 992 square inches? I dont know how to do this so yeah Suppose that you have just been hired at an annual salary of $85,000 and expect to receive an annual raise of 6% per year. Whatwill be the total amount of money you will have earned after 8 years? PARTS OF SPEECH: CONJUNCTIONS Q: Complete the following in your own words. a:They had to wait there and ............... b:The plane disappeared while ................ c:It must have been summer time because ................. d:He had to think of another way to achieve his goal because .............. e:I wondered whether he would be successful or ............. I dont know the answer or how to solve this question using proportions:212.7 = 16.8% of The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batteries is subjected to an accelerated life test by running them continuously at an elevated temperature until failure, and the following lifetimes (in hours) are obtained: 25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7. The manufacturer wants to be certain that the mean battery life exceeds 25 hours in accelerated lifetime testing. Construct a 90%, two sided confidence interval on mean life in the accelerated test. Classify each nutrient as a macronutrient or as a micronutrient Complete Ivns email to Patricia by choosing the most logical words from the list and writing them in the spaces provided. One word will not be used.a | bailar | esta | este | maana | noche | vamosHola Patricia:Qu hay de nuevo? Sabes qu? Mi viejo amigo Jos Luis llega enter answer tarde para una visita. No veo la hora!Esta enter answer Jos Luis tiene que descansar. Pero tenemos muchos planes para enter answer. Primero (First), nosotros vamos a ir a la cafetera para comer. Despus (Afterward) , vamos enter answer ver un partido de ftbol. Ms tarde hay una fiesta. Vamos a enter answer mucho! Find the graph of the inequality y>-(1/6)x+1. WILL MARK BRAINLIEST! The coefficients of the first three terms in the expansion of (x y) 4 are a) 1, 4, 6 b) 1, 4, 6 c) 1, 4, 6 d) 1, 3, 5