A pyramid shaped building is 311 feet tall and has a square base with sides of 619 ft. The sides of the building are made from reflective glass. what is the surface area of the reflective glass

Answers

Answer 1

Answer:

Surface area of the reflective glass is 543234.4 square feet.

Step-by-step explanation:

Given that: height = 311 feet, sides of square base = 619 feet.

To determine the slant height, we have;

[tex]l^{2}[/tex] = [tex]311^{2}[/tex] + [tex]309.5^{2}[/tex]

   = 96721 + 95790.25

   = 192511.25

⇒ l = [tex]\sqrt{192511.25}[/tex]

      = 438.761

The slant height, l is 438.8 feet.

Considering one reflecting surface of the pyramid, its area = [tex]\frac{1}{2}[/tex] × base × height

  area =  [tex]\frac{1}{2}[/tex] × 619 × 438.8

          = 135808.6

          = 135808.6 square feet

Since the pyramid has four reflective surfaces,

surface area of the reflective glass = 4 × 135808.6

                                                          = 543234.4 square feet


Related Questions

The graph of a quadratic function with vertex (0, 4) is shown in the figure below.
Find the domain and the range.


Write your answers as inequalities, using X or y as appropriate.
Or, you may instead click on "Empty set" or "All reals" as the answer.

Answers

Answer:

See below

Step-by-step explanation:

The domain of the quadratic equation is going to be [tex]\mathbb{R}[/tex] (all reals), since you can set x to be any real number and get a real value of y.

I can't see the graph, but the range of the quadratic is going to be y ≥ 4 (if the graph opens upwards) or y ≤ 4 (if the graph opens downwards).

what is the y-intercept of the function f(x) equals 4-5x

Answers

Answer: 4

Step-by-step explanation:

f(x)=4-5x is the same as y =  -5x + 4 (Slope-intercept form).  Thus, the y-intercept is 4.

Hope it helps <3

Answer: 4

Step-by-step explanation:

in the eq f(x) = 4 - 5x,

putting x=0 we get

f(x) = 4 - 0 = 4

hence y intercept = 4

2 mechanics worked on a car. the 1st mechanic charged $75 per hour, and the 2nd charged $95. They worked a combined 20 hours and charged a total of $1800. How many hours did each mechanic work?

Answers

Answer:

1. set up the equations:

a. total cost: 75x + 95y = 1800

b. total hours: x + y = 20

2. use substitution:

a. x + y = 20 → x = 20 - y

3. plug in value of x:

a. 75(20 - y) + 95y = 1800

4. distribute (75).

1500 - 75y + 95y = 1800

5. combine like terms:

20y = 300

6. divide:

y = 15

7. plug in y to other equation to get x:

x + 15 = 20

8. solve:

x = 5

1st mechanic (x) worked 5 hours

2nd mechanic (y) worked 15 hours

hope this helps :)

Answer:

The first mechanic worked 5 hours and the second worked 15

Step-by-step explanation:

Let h = hours for first mechanic

j = hours for second mechanic

h+j = 20

75h + 95 j = 1800

Multiply the first equation by -75

-75(h+j = 20)

-75h -75j = -1500

Add this to the second equation to eliminate h

75h + 95 j = 1800

-75h -75j = -1500

----------------------------

0 + 20j = 300

Divide by 20

20j/20 = 300/20

j = 15

Now gind h

h+j = 20

h +15 = 20

h = 5

Test the claim that the proportion of men who own cats is smaller than 70% at the 0.05 significance level. The null and alternative hypothesis would be:

Answers

Answer:

the null hypothesis would be: p = 70%/0.7

The alternative hypothesis would be: p < 0.7

Step-by-step explanation:

The null hypothesis is most of the time always the default statement while the alternative hypothesis is tested against the null and is its opposite.

In this case study the null hypothesis would be: the proportion of men who own cats is 70%: p = 0.7

The alternative hypothesis would be: the proportion of men who own cats is smaller than 70% : p < 0.7

ghvhhhhcycycugvuviggggggvvvggfgffgfggyg

Answers

Answer:

fortnite

Step-by-step explanation:

winwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwin

Answer:

Yes

Step-by-step explanation:

Yes

cos(0)=√2/2, and 3π/2<0<2π, evaluate sin(0) and tan(0). Sin(0)?

Answers

Answer:

Option (2)

Step-by-step explanation:

In this question we have to find the values of Sinθ and tanθ where [tex]\frac{3\pi}{2}<x<2\pi[/tex].

Cosθ = [tex]\frac{\sqrt{2}}{2}[/tex] ⇒ θ = [tex]\frac{7\pi }{4}[/tex]

[Since [tex]\text{Cos}\frac{7\pi }{4}=\text{Cos}(2\pi-\frac{\pi}{4})[/tex]

                     [tex]=\text{Cos}\frac{\pi }{4}[/tex]

                     [tex]=\frac{\sqrt{2} }{2}[/tex] ]

Since Cosine of any angle between [tex]\frac{3\pi}{2}[/tex] and 2π is positive and Sine is negative in nature,

[tex]\text{Sin}\frac{7\pi }{4}[/tex] = [tex]-\frac{\sqrt{2}}{2}[/tex]

Since, tanθ = [tex]\frac{\text{Sin}\theta}{\text{Cos}\theta}[/tex]

tanθ = [tex]\frac{\frac{-\sqrt{2} }{2} }{\frac{\sqrt{2} }{2} }[/tex]

       = [tex]-\frac{\sqrt{2}}{2}\times \frac{2}{\sqrt{2}}[/tex]

       = -1

Therefore, Option (2) will be the answer.

Answer:

Step-by-step explanation:

option 2 is the correct answer

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of​ water, some give readings below 0°C ​(denoted by negative​ numbers) and some give readings above 0°C ​(denoted by positive​ numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. A quality control analyst wants to examine thermometers that give readings in the bottom​ 4%. Find the temperature reading that separates the bottom​ 4% from the others. Round to two decimal places.

Answers

Answer:

the temperature reading that separates the bottom​ 4% from the others is -1.75°

Step-by-step explanation:

The summary of the given statistics data set are:

Mean [tex]\mu[/tex] : 0

Standard deviation [tex]\sigma[/tex] = 1

Probability of the thermometer readings = 4% = 0.04

The objective is to determine the temperature reading that separates the bottom​ 4% from the others

From the standard normal table,

Z score for the Probability P(Z < z) = 0.04

P(Z < -1.75) = 0.04

z = -1.75

Now, the z- score formula can be expressed as :

[tex]z = \dfrac{X-\mu}{\sigma}[/tex]

[tex]-1.75 = \dfrac{X-0}{1}[/tex]

-1.75 × 1 = X - 0

X = -1.75 × 1 - 0

X = -1.75

Therefore, the temperature reading that separates the bottom​ 4% from the others is -1.75°

Jill put 53 buttons in a box. Marci put 17 buttons in an other box. Jarrod says Marci has 33 fewer buttons than Jill. He thinks 53-20 is easier to subtract than 53-17. He subtracts 53-20 and gets 33. Do you agree or not agree with Jarid's thinking?

Answers

Answer:I do not agree

Step-by-step explanation:he needs to take away 17 if he takes away 20 not 17 he needs to return 20-17=3 so in easier words you do 53-20+3=36

123=0
4235=0
656=2
5390=2
8890=6
1001=2
19235=1
What is 123456789?​

Answers

Answer:

4

Step-by-step explanation:

I suppose this is a trick question.

The answer is equal to the "circular hole" in the numbers. (except 4, which does not contain circular hole).

So by counting the holes,

123456789 = 4

Answer:

4

Step-by-step explanation:

This is a trick/pattern

We have to count the number of holes in each number

1-0

2-0

3-0

4-0

5-0

6-1

7-0

8-2

9- 1

1+2+1 =4

I made a square frame for my favorite bird picture from four wooden pieces. Each piece is a rectangle with a perimeter of 24 inches. What is the area and perimeter of the picture and frame, together?

Answers

Answer:

Perimeter of the picture and frame = 38.4inches

Area of the picture and frame = 92.16inches²

Step-by-step explanation:

A square frame is made up of 4 different pieces. The shape of each piece = Rectangle

The perimeter of the rectangle = 24

Perimeter of the rectangle = 24 inches

The perimeter of a rectangle = 2L + 2W

The Width of a Rectangle is always on her than the length hence.

24 = 2L + 2W

24 = 2( L + W)

24/2 = L + W

12 = L + W

Because the width is always longer than the length

W > L

Width of wooden frame = 4 × Length

Therefore;

4 × L = W

Which gives

L + W = 12 inches

4 × L + L = 12 inches

L×(4 + 1)

= 5L = 12 inches

L = 12/5 = 2.4 inches

W = 4 × L = 4 × 12/5

W = 48/5 = 9.6 inches

Side length of wooden frame, L =9.6

The perimeter of the picture frame = 4 × L= 4 × 9.6= 38.4 inches

The area of the picture frame = L²

= L × L

= 9.6 × 9.6 = 92.16inches².

Graph the equation y=4x+1 by plotting points.

Answers

Look at the attached image (credit to Desmos graphing calculator)

To graph the equation y=4x+1, we just find two points that exist, plot them, and draw a straight line that goes through them.

Let's try x=0:

[tex]y=4(0)+1=1[/tex]

One point on the line is (0,1)

Let's try x=1:

[tex]y=4(1)+1=5[/tex]

Another point is (1,5).

Now, plot these two points and draw a line through them.

The graph of the equation represents that straight line connecting the points (0, 1), (1, 5), and (-1, -3) on a coordinate plane.

What is the equation?

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

To plot the graph of the equation y=4x+1 by plotting points, we need to choose some values of x and then calculate the corresponding values of y using the equation.

Let's choose some values of x and calculate the corresponding values of y:

When x = 0, y = 4(0) + 1 = 1, so one point on the graph is (0, 1).

When x = 1, y = 4(1) + 1 = 5, so another point on the graph is (1, 5).

When x = -1, y = 4(-1) + 1 = -3, so another point on the graph is (-1, -3).

We can continue this process to find more points, or we can use these three points to draw a straight line through them.

Thus, the graph of the equation represents that straight line connecting the points (0, 1), (1, 5), and (-1, -3) on a coordinate plane.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ3

Which of the following can be used to find the area of a circle?

A.


B.


C.


D.

Answers

Answer:

option B

hope it was useful for you

stay at home stay safe

pls mark me as brain.....

Answer:

[tex]\boxed{Option \ B}[/tex]

Step-by-step explanation:

Area of a circle = [tex]\pi r^2[/tex]

Finding the area of the circle, we need to know what the radius of the circle is. So, We would get the area of the circle.

I really need help on this

Answers

Answer:

Congruent

Step-by-step explanation:

I am not 100% sure because there are no measurements but it looks like the two shapes are the same size.

If this helped, please consider giving me brainliest, it will help me a lot :)

Have a good day.

Congruent

It’s congruent since the two figures have the same shape and size

A car is purchased for $16,500. After each year, the resale value decreases by 35%. What will the resale value be after 3 years?
round your answer to the nearest dollar.

Answers

Answer: 16500(.65)^3 =4531.31

Step-by-step explanation:

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis​ test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that d=​3.125, sd=​2.911, and n=​8, and that you wish to test the hypothesis below at the​ 10% level of significance. What decision rule would you​ use? H0​: μd=0 against H1​: μd>0

Answers

Answer:

If the value of our test statistics is less than the critical value of t at 7 degrees of freedom at a 10% level of significance for the right-tailed test (which is 1.415), then we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

If the value of our test statistics is more than the critical value of t at 7 degrees of freedom at a 10% level of significance for the right-tailed test (which is 1.415), then we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Step-by-step explanation:

We are given that the means of two populations using paired observations. Suppose that [tex]\bar D[/tex] = ​3.125, [tex]s_D[/tex] =​ 2.911, and n =​ 8, and that you wish to test the hypothesis below at the​ 10% level of significance.

Let D = difference between the two paired observations.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_D[/tex] = 0    

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_D[/tex] > 0

The test statistics that would be used here is Paired t-test for dependent samples;

                     T.S. =  [tex]\frac{\bar D-\mu_D}{\frac{s_d}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar D[/tex] = ​3.125, [tex]s_D[/tex] =​ 2.911, and n =​ 8

The decision rule for rejecting the null hypothesis in the given hypothesis​ test would be;

If the value of our test statistics is less than the critical value of t at 7 degrees of freedom at a 10% level of significance for the right-tailed test (which is 1.415), then we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.If the value of our test statistics is more than the critical value of t at 7 degrees of freedom at a 10% level of significance for the right-tailed test (which is 1.415), then we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

(x*129)-3=126 what is x

Answers

Answer:

x should equal 1

Step-by-step explanation:

(1*129)-3=126

129-3=126

126=126

Answer:

x=1

Step-by-step explanation:

We can start by adding 3 to both sides to get rid of the -3

That leaves us with 129x=129

It ends up working out really evenly because by dividing both sides by 129, we are left with x=1

Find local maximum or minimum of the function: f(x)= (x + 1)^2(x - 3) Local maximum point= ( , ) Local maximum value= Local minimum point = ( , ) Local minimum value=

Answers

Answer: Local Max = (-1, 0)

              Local Min = (1, -8)

Step-by-step explanation:

f(x) = (x + 1)² (x - 3)

Step 1: Find the zeros

(x + 1)² = 0 --> x = -1   (multiplicity of 2)

(x - 3) = 0  -->  x = 3

                                   

Step 2: Find the Vertices

x = -1 --> (multiplicity is even which means this is a vertex)

The midpoint between x = -1 and x = 3 is x = 1

Step 3:  Find the Local Max and Local Min

Use the x-value above to find the y-values

f(-1) = 0        because it is a zero

f(1) = (1 + 1)² (1 - 3)

    =    2²(-2)

    =    4(-2)

    =      -8

Conclusion:

(-1, 0) is the Local Max     bigger y-value

(1, -8) is the Local Min      smaller y-value

Answer:

f ( x ) = ( x – 3) 2 – 4; the minimum value is –4

Step-by-step explanation:

Given the function f ( x ) = x 2 – 6 x + 5, write an equivalent form of the function that reveals the minimum or maximum value of the function and state the minimum or maximum value.

f ( x ) = ( x – 3) 2 – 4; the minimum value is –4

( This The correct question to answer?) can't deleted..

If x is 6, What is X+4

Answers

Answer: 6 + 4

Step-by-step explanation:

6 is the x

Answer:

if X=6

meaning,when you add X+4 it will give you 6+4 which is equal to 10

Need help solving hi

Answers

Answer:

See below.

Step-by-step explanation:

[tex]2 \ln(x+2)=6[/tex]

[tex]\ln (x+2)=3[/tex]

[tex]e^{\ln(x+2)}=e^3[/tex]

[tex]x+2=e^3[/tex]

[tex]x=e^3-2[/tex]

[tex]x\approx 18. 09[/tex]


Question 16 (5 points)
Given the recursive formula shown, what are the first 4 terms of the sequence?

Answers

Answer:

i think its b

???

Step-by-step explanation:

im sorry if im wrong im not very confident on my answer :(

Answer:

D

Step-by-step explanation:

Most logical looking if you look at the formula, the last number has to be smaller than the one before, so.

A mechanic's tool set is on sale for $204 after a markdown of 40% off the regular price. Find the regular price.

Answers

Answer:

$340

Step-by-step explanation:

From the information given we know that $204 is the price after a 40% discount is applied which means that this value represents 60% of the regular price and you can find the answer using the rule of three:

204 →  60%

 x    ← 100%

x=(204*100)/60=340

According to this, the answer is that the regular price of the product is $340.

340*0.4= 136

340-136=204

Michelle Duncan wants to know what price home she can afford. Her annual gross income is $45,000. She owes $790 per month on other debts and expects her property taxes and homeowners insurance to cost $340 per month. She knows she can get an 10.00%, 30-year mortgage so her mortgage payment factor is 8.78. She expects to make a 20% down payment. What is Michelle's affordable home purchase price? (Round your answer to the nearest dollar amount.)
Group of answer choices

$43,870

$635

$655

$41,999

$39,784

Answers

Answer:

$41,999

Step-by-step explanation:

Annual income = 45000

monthly income = $45000/12 months = $3750

mandatory expense at 38% rule = $3750 x 0.38 = 1425

other debt = 790

tax and insurance = 340

= 1425 - 790 - 340

= 295

balance left = 295

mortgage payment = (295/8.78) x 1000

= $33,599

purchase price = monthly payment/ 1- % of down payment

= $33599/1 - 0.20

= 33599/0.80

= $41,999

An HR manager would like to test the hypothesis that the proportion of agenda-less meetings is more than 45%. Based on the information below, choose the correct conclusion for this hypothesis test. To test this, he randomly selected minutes from 100 past meeting, and found that 65 of them had no agenda. The following is the setup for this hypothesis test: H0:p=0.45 Ha:p>0.45 The p-value for this hypothesis test is 0.025. At the 5% significance level, should he reject or fail to reject the null hypothesis? Select the correct answer below: Reject the null hypothesis because 0.45>0.05. Fail to reject the null hypothesis because 0.45>0.05. Reject the null hypothesis because the p-value =0.025 is less than the significance level α=0.05. Fail to reject the null hypothesis because the p-value =0.025 is less than the significance level α=0.05.

Answers

Answer: Reject the null hypothesis because the p-value =0.025 is less than the significance level α=0.05.

Step-by-step explanation: Trust me

Find the average rate of change of the function from x=1 to x=2. f(x)=−6/x^2

Answers

Answer:

4.5.  

Step-by-step explanation:

f(x) = −6 / x^2

f(1) = -6 / (1)^2 = -6 / 1 = -6.

f(2) = -6 / (2)^2 = -6 / 4 = -3 / 2 = -1.5.

Now, you have two sets of coordinates: (1, -6), and (2, -1.5).

You need to find the slope, which is the average rate of change.

(-1.5 - (-6)) / (2 - 1) = (-1.5 + 6) / 1 = -1.5 + 6 = 4.5

Hope this helps!

The average rate of change of the function from x=1 to x=2 is 4.5

The average rate of change of a function is given by:

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

Hence, the average rate of change of the function from x=1 to x=2. f(x)=−6/x² is:

f(2) = -6/2² = -1.5

f(1) = -6/1² = -6

[tex]Average\ rate\ of\ change=\frac{f(2)-f(1)}{2-1}=\frac{-1.5-(-6)}{2-1}=4.5[/tex]

Hence the average rate of change of the function from x=1 to x=2 is 4.5

Find out more at: https://brainly.com/question/23483858

High Fructose Corn Syrup (HFCS) is a sweetener in food products that is linked to obesity and type II diabetes. The mean annual consumption in the United States in 2008 of HFCS was 60 lbs with a standard deviation of 20 lbs. Assume the population follows a Normal Distribution.
a. Find the probability a randomly selected American consumes more than 50 lbs of HFCS per year.
b. Find the probability a randomly selected American consumes between 30 and 90 lbs of HFCS per year.
c. Find the 80th percentile of annual consumption of HFCS.
d. In a sample of 40 Americans how many would you expect to consume more than 50 pounds of HFCS per year.
e. Between what two numbers would you expect to contain 95% of Americans HFCS annual consumption?
f. Find the quartile and Interquartile range for this population.
g. A teenager who loves soda consumes 105 lbs of HFCS per year. Is this result unusual?

Answers

Answer:

Explained below.

Step-by-step explanation:

X = annual consumption in the United States in 2008 of HFCS

[tex]X\sim N(60, 20^{2})[/tex]

(a)

Find the probability a randomly selected American consumes more than 50 lbs of HFCS per year.

[tex]P(X>50)=P(\frac{X-\mu}{\sigma}>\frac{50-60}{20})=P(Z>-0.50)=P(Z<0.50)=0.6915[/tex]

P (X > 50) = 0.6915.

(b)

Find the probability a randomly selected American consumes between 30 and 90 lbs of HFCS per year.

[tex]P(30<X<90)=P(\frac{30-60}{20}<\frac{X-\mu}{\sigma}<\frac{90-60}{20})\\\\=P(-1.5<Z<1.5)\\\\=0.93319-0.06681\\\\=0.86638\\\\\approx 0.8664[/tex]

P (30 < X < 90) = 0.8664.

(c)

Find the 80th percentile of annual consumption of HFCS.

P (X < x) = 0.80

⇒ P (Z < z) = 0.80

z = 0.84

[tex]z=\frac{x-\mu}{\sigma}\\\\0.84=\frac{x-60}{20}\\\\x=60+(20\times 0.84}\\\\x=76.8[/tex]

80th percentile = 76.8.

(d)

In a sample of 40 Americans how many would you expect to consume more than 50 pounds of HFCS per year.

P (X > 50) = 0.6915

Number of American who consume more than 50 lbs = 40 × 0.6915

                                                                                          = 27.66

                                                                                          ≈ 28

Expected number = 28.

(e)

Between what two numbers would you expect to contain 95% of Americans HFCS annual consumption?

According to the Empirical rule, 95% of the normally distributed data lies within 2 standard deviations of mean.

[tex]P(\mu-2\sigma<X<\mu+2\sigma)=0.95\\\\P(60-2\cdot20<X<60+2\cdot20)=0.95\\\\P(20<X<100)=0.95[/tex]

Range = 20 < X < 100.

(f)

Find the quartile and Interquartile range for this population.

1st quartile: Q₁

P (X < Q₁) = 0.25

⇒ P (Z < z) = 0.25

z = -0.67

[tex]z=\frac{Q_{1}-\mu}{\sigma}\\\\-0.67=\frac{Q_{1}-60}{20}\\\\Q_{1}=60-(20\times 0.67)\\\\Q_{1}=46.6[/tex]

3rd quartile: Q₃

P (X < Q₃) = 0.75

⇒ P (Z < z) = 0.75

z = 0.67

[tex]z=\frac{Q_{3}-\mu}{\sigma}\\\\0.67=\frac{Q_{3}-60}{20}\\\\Q_{3}=60+(20\times 0.67)\\\\Q_{3}=73.4[/tex]

Inter quartile range:

[tex]IQR=Q_{3}-Q_{1}=73.4-46.6=26.8[/tex]

(g)

Compute the z-score for x = 105 lbs as follows:

[tex]z=\frac{Q_{3}-\mu}{\sigma}\\\\z=\frac{105-60}{20}\\\\z=2.25[/tex]

Z-scores greater than +2.00 or less than -2.00 are considered as unusual.

Thus, the result unusual.

doreen schmidt Is a chemist. She needs to prepare 36 ounces of a 16% hydrochloric acid solution. Find the amount of 18% solution and the amount of 9% solution she should mix to get this solution
Please help.

Answers

Answer:

Mixing two concentrations for known amount of mixture

Step-by-step explanation:

Let x = amount (ounces) of 18% solution

then

36-x = amount (ounces) of 9% solution

 

0.18x + 0.09(36-x) = .16(36)

0.18x + 3.24-.09x = 5.76

0.09x + 3.24 = 5.76

0.09x = 2.52

x = 28 ounces of 18% solution

amount of 9% solution:

36-x = 36-18 = 18 ounces

"prepare 36 ounces", means mass or weight.

Let u = ounces of 16%

Let v = ounces of 18%

(16u + 18v)/36=9

and u + v = 36  

based on the above findings....

Mixing two concentrations for known amount of mixture

Nakashima Gallery had the following petty cash transactions in February of the current year. Nakashima uses the perpetual system to account for merchandise inventory. Feb 2 Write a $400 check to establish a petty cash fund. Feb 5 Purchased paper for the copier for $14.15 that is immediately used. Feb 9 Paid $32.50 shipping charges (transportation in) on merchandise purchased for resale, terms FOB shipping point. These costs are added to merchandise inventory. Feb 12 Paid $7.95 postage to deliver a contract to a client Feb 14 Reimbursed Adina Sharon, the manager, $68 for mileage on her car. Feb 20 Purchased office paper for $67.77 that is immediately used. Feb 23 Paid a courier $20 to deliver merchandise sold to a customer, terms FOB destination. Feb 25 Paid $13.10 shipping charges (transportation in) on merchandise purchased for resale, terms FOB shipping point. These cost are added to merchandise inventory. Feb 27 Paid $54 for postage expenses Feb 28 The fund had $120.42 remaining in the petty cashbox. Sorted the petty cash receipts by accounts affected and exchanged them for a check to reimburse the fund for expenditures. Feb 28 The petty cash fund amount is increased by $100 to a total of $500

Answers

Answer:

1. Debit Petty cash for $400; and Credit Cash for $400.

2. Total petty cash payment = $270.57

3(a) Cash reimbursement is $279.58; and Cash over and short is $9.01.

3(b) Debit Petty cash for $100; and Credit Cash for $100.

Step-by-step explanation:

Note: This question is not complete. The full complete question is therefore provided before answering the question. See the attached pdf file for the full question.

The explanations to the answers are now given as follows:

1. Prepare the journal entry to establish the petty cash fund.

Note: See the journal entry in the attached excel file

2. Prepare a petty cash payments report for February with these categories: delivery expense, mileage expense, postage expense, merchandise inventory (for transportation-in), and office supplies expense. Sort the payments into the appropriate categories and total the expenditures in each category.

Note: See the petty cash payments report in the attached excel file.

3. Prepare the journal entries for required 2 to both (a) reimburse and (b) increase the fund amount.

Note: See the journal entries (a) and (b) in the attached excel file

3(a) Reimburse Workings:

w.1: Calculation of Cash reimbursement

Cash reimbursement = Petty cash fund - Petty cash fund balance = $400 - $120.42 = $279.58

w.2: Calculation of the Cash over and short

Cash over and short = Cash reimbursement – Total expenses = $279.58 - $270.57 - $120.42 = $9.01

Your PI claims that the proportion of Morpho butterflies in a population that are blue is 0.3 .A sample is independently obtained from this population. Of 200 sampled Morphos, 50 turn out to be blue.Given only this information, carry out a hypothesis test to evaluate the claim. What is closest to the p-value that you obtain?

Answers

Complete Question

Your PI claims that the proportion of Morpho butterflies in a population that are blue is 0.3 .A sample is independently obtained from this population. Of 200 sampled Morphos, 50 turn out to be blue.Given only this information, carry out a hypothesis test to evaluate the claim. What is closest to the p-value that you obtain?

A 0.019

B 0.038

C 0.070

D 0.139

Answer:

The correct answer is  D

Step-by-step explanation:

From the question we are told that  

    The population proportion of blue butterflies is  [tex]p = 0.3[/tex]

    The  sample  size is  [tex]n = 200[/tex]

     The  sample mean is  [tex]\= x = 50[/tex]

     

The  Null Hypothesis is mathematically represented as

        [tex]H_o : p = 0.3[/tex]

The  Alternative  Hypothesis is mathematically represented as

       [tex]H_a : p \ne 0.3[/tex]

Now the sample proportion is mathematically represented as

         [tex]\r p = \frac{\= x}{n}[/tex]

substituting values

        [tex]\r p = \frac{50 }{200 }[/tex]

         [tex]\r p = 0.25[/tex]

Generally the test statistics is mathematically represented as

         [tex]z = \frac{\r p - p }{\sqrt{\frac{p(1-p)}{n } } }[/tex]

substituting values            

         [tex]z = \frac{ 0.25 - 0.3 }{\sqrt{\frac{0.3(1-0.3)}{200 } } }[/tex]

        [tex]z = -1.54[/tex]

The  p-value for a two-tailed test  is  mathematically represented as

for lower -tail test

[tex]p-value = P(Z \le z | H0\ is \ true) = cdf(z )[/tex]

 for higher-tail test

[tex]p-value = P(Z \ge z | H0\ is \ true) = 1- cdf(z )[/tex]

for this test i assumed a 0.05 level of significance

Now  

  [tex]cdf(z)[/tex] is the cumulative distribution function for test statistics under the null hypothesis

Which can be calculated using MInitab (A statistics calculator )

  for lower-tail test

     The p-value is not significant

 for higher-tail test

p-value is

      [tex]1- cdf(-1.54) = 0.125[/tex]

answer asap, please :)

Answers

Answer:

[tex]\boxed{\sf 4.41}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can solve using trigonometric functions.

[tex]\sf cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]

[tex]\sf cos(25)=\frac{4}{?}[/tex]

[tex]\sf ?=\frac{4}{cos(25)}[/tex]

[tex]\sf ?= 4.41351167...[/tex]

Need answers!!!!! ASAPPP

Answers

Answer:

t

Step-by-step explanation:

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