Answer:
The mean is defining the average length(2.5in) of the 100 measured screws.
Step-by-step explanation:
The mean is usually calculated in order to determine the average of a set of values.
A cash register has $10 and $50 dollars bills with total of $1080.there are 28 bills in total how many of each bills.
Hey there! I'm happy to help!
Let's set this up as a system of equations, where x is equal to the number of 10 dollar bills and y is equal to the number of 50 dollar bills.
10x+50y=1080
x+y=28
We want to solve for x or y. We can rearrange the second equation to find the value of one of the variables.
x+y=28
Subtract x from both sides.
y=28-x
Now, we have a value for y. So, we could replace the y in the first equation with 28-x and the solve for x.
10x+50(28-x)=1080
We use distributive property to undo the parentheses.
10x+1400-50x=1080
We combine like terms.
-40x+1400=1080
We subtract 1400 from both sides.
-40x=-320
We divide both sides by -40.
x=8
Since there are 28 total bills, this means that there must be 20 50 dollar ones because there are 8 10 dollar bills.
Have a wonderful day! :D
What is the best first step in solving -4x + 5/3 > 5/10
Answer:
Step-by-step explanation:
The best first step to solve this is to just subtract 5/3 from both sides so it is easier to simplify.
Answer:
Subtract 5/3 to the other side
Step-by-step explanation:
Hey there!
Well the best first step is to -5/3 to both sides and move it to the right side.
-4x + 5/3 > 5/10
-5/3 to both sides
-4x > -7/6
Hope this helps :)
Name x1, x2, y1 and y2. Then, find the distance between the points.
Answer:
(5,6), (-2,8)
Step-by-step explanation:
I have a good math expertise. Don't question my skills as they are correct. woof woof waffling behavior. Thnak you hr welcne
I need an answer for the attachment below:
Answer:
[tex] - \frac{ 1}{4} [/tex]Step-by-step explanation:
The line passes through points ( - 1 , 2 ) and ( 3 , 1 )
Let there points be A and B
A ( -1 , 2 ) -----> ( x1 , y1 )
B ( 3 , 1 ) -------> ( x2 , y2 )
Now, Let's find the gradient ( slope)
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
plug the values
[tex] = \frac{1 - 2}{3 - ( - 1)} [/tex]
Calculate the difference
[tex] = \frac{ - 1}{3 - ( - 1)} [/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
[tex] = \frac{ - 1}{3 + 1} [/tex]
Add the numbers
[tex] = \frac{ - 1}{4} [/tex]
Use [tex] \frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b} [/tex] , to rewrite the fraction
[tex] = - \frac{1}{4} [/tex]
Hope this helps...
Best regards!!
Find the area between the graph of f of x equals the product of x squared and e raised to negative 1 times x cubed power and the x-axis for the interval (0, ∞). Your work must include the proper notation and show the antiderivative. If the integral diverges, show why.
If [tex]f(x)=x^2e^{-x^3}[/tex], then the area between the graph of [tex]f(x)[/tex] and the x-axis for non-negative x is given by the integral,
[tex]\displaystyle\int_0^\infty x^2e^{-x^3}\,\mathrm dx[/tex]
Let [tex]u=-x^3[/tex] and [tex]\mathrm du=-3x^2\,\mathrm dx[/tex]; then the integral is equivalent to
[tex]\displaystyle-\frac13\int_0^{-\infty}e^u\,\mathrm du=\frac13\int_{-\infty}^0e^u\,\mathrm du=\frac13\left(1-\lim_{u\to-\infty}e^u\right)=\boxed{\frac13}[/tex]
evaluate the function to find three points f(0)=
Answer:
f(0) = 0
Step-by-step explanation:
f(x) = -sqrt(x)
Let x= 0
f(0) = -sqrt(0)
f(0) = 0
Value of the given function [tex]f(x) = -\sqrt{x}[/tex] for [tex]f(0) = 0.[/tex]
What is function?" A function is defined as the relation between the given variable represents set of all input value should have one output each."
According to the question,
Given function,
[tex]f(x) = -\sqrt{x}[/tex]
Substitute the different values for 'x' for the given function we get,
[tex]x=1 , f(1) = -\sqrt{1}[/tex]
[tex]=-1[/tex]
[tex]x=4 , f(4) = -\sqrt{4}[/tex]
[tex]=-2[/tex]
[tex]x=0, f(0) = -\sqrt{0}[/tex]
[tex]=0[/tex]
Therefore, given relation is a function.
Hence, value of the given function [tex]f(x) = -\sqrt{x}[/tex] for [tex]f(0) = 0.[/tex]
Learn more about function here
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A copy machine makes 153 copies in 4 minutes and 15 seconds how many copies does it make per minute
1 minute = 60 seconds
15 seconds /60 = 0.25 minutes.
Total time in minutes is 4.25
Divide total copies by total minutes:
153 / 4.25 = 36 copies per minute
Answer:
[tex]\boxed{\sf 36 \ copies \ per \ minute}[/tex]
Step-by-step explanation:
[tex]\sf 4 \ minutes \ 15 \ seconds = 4.25 \ minutes[/tex]
[tex]\sf The \ copy \ machine \ makes \ 153 \ copies \ in \ 4.25 \ minutes.[/tex]
[tex]\sf To \ find \ copies \ per \ minute, \ divide \ the \ number \ of[/tex]
[tex]\sf copies \ with \ the \ number \ of \ minutes.[/tex]
[tex]\displaystyle \frac{153}{4.25} =36[/tex]
[tex]\sf The \ copy \ machine \ makes \ 36 \ copies \ per \ minute.[/tex]
what is a supplementary angle of 750
Answer:
105°
Step-by-step explanation:
Supplementary angle of 75° = 180° - 75° = 105°
Answer:
105°
Step-by-step explanation:
angle given is 75°
= 180° - 75°
= 105°
Which fraction is equal to 60%?
2 of
100
600
60
100
100
60
6.0
100
Answer:
Step-by-step explanation:
[tex]60\% =\\\\\frac{60}{100} \\=0.6[/tex]
Answer:
3/5
Step-by-step explanation:
60% as a fraction is 3/5 :)
A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling a number greater than 2. The probability of tossing a head and then rolling a number greater than 2 is nothing. (Round to three decimal places as needed.)
Answer:
7 out of 8
Step-by-step explanation:
heads gets tossed and there's only 6 numbers to choose from on the die
Answer: =0.375
Step-by-step explanation:
Actually we have to find the probability that both events will happened.
1st event the coin will be turned by a head P(head).
2nd event the number is greater than 2 , i.e. can be 3,4,5,6,7 or 8 P(a>2)
Both events do not depend from each other. So the resulted probability
can be calculated multuplying probabilities P(head) and P(a>2) on each other. P(head, a>2)= P(head)*P(a>2)
P(head) =1/2=0.5 so the coin has 2 sides only one of them is head.
P(a>2)=6/8 so rolling the eight -sided doe 8 outcomes are possible and six of them 3,4,5,6,7 or 8 can give us the number that is bigger than 2.
P(a>2)=6/8=3/4=0.75
P(head, a>2)= P(head)*P(a>2)=0.5*0.75=0.375 ( rounding is not necessary, so we get exactle 3 digits after the point)
Bus drivers Andy, Benedict and Chris each return to Bus Terminal 1 every 50, 80, and 100 minutes respectively. If they leave the bus terminal at 0830 h, when will they next meet at the bus terminal ?
Answer:
1510 h, or 3:10 PM.
Step-by-step explanation:
The next time they meet at the bus terminal will be a multiple of 50, 80, and 100.
A common factor among the three numbers is 10. If we divide all three by 10, we will get 5, 8, and 10. 5 is a factor of 10, so as long as 5 is multiplied by an even number, 10 will be a multiple.
Since the number will have to be divisible by both 5 and 8, the smallest possible number would be 5 * 8 = 40. So, the next time they meet at the bus terminal will be 40 * 10 = 400 minutes after 8:30.
400 minutes in hours is 400 / 60 = 40 / 6 = 20 / 3 = 6 hours and 2/3.
2/3 of an hour in minutes is (2/3) * 60 = 2 * 20 = 40.
So, they will meet again in 6 hours and 40 minutes.
8:30 plus 6 hours and 40 minutes is 14:70. 70 minutes translates into an hour and 10 minutes. So, the time will be 15:10, or 3:10 PM.
Hope this helps!
Use the functions m(x) = 4x + 5 and n(x) = 8x − 5 to complete the function operations listed below. Part A: Find (m + n)(x). Show your work. (3 points) Part B: Find (m ⋅ n)(x). Show your work. (3 points) Part C: Find m[n(x)]. Show your work. (4 points)
Answer:
Step-by-step explanation:
Part A
(m + n)x = 4x + 5 + 8x - 5
(m + n)x = 12x The fives cancel
Part B
(m - n)x = 4x + 5 - 8x + 5
(m - n)x = -4x + 10
Part C
The trick here is to put n(x) into m(x) wherever m(x) has an x.
m[n(x)] = 5(n(x)) + 5
m[n(x)] = 5(8x - 5) + 5
m[n(x)] = 40x - 20 + 5
m[n(x)] = 40x - 15
from the top of a building 10m high the angle of depression of a stone lying on the horizontal ground is 60° . calculate the distance of the stone from the foot of the building
Answer:
14.29cm
Step-by-step explanation:
Height of the building=10cm
Angle of depression=60°
We are therefore asked to find the distance from the stone to the
the foot of the building;Therefore we use Tan ratio which is opp/adj;
Let the distance from the stone to the foot of the building be x;
10/x=Tan60°
10/x=1.7/1
We then cross multiply to get 1.7x=10
x=10/1.7
=10*10/1.7*10
=100/17
=14.29cm.
Use a calculator to determine the pattern of attractors for the equation y =kx(1-x) for the given value of k and the given initial value of x
K=3.26, x=0.8
Guys, I need help quickly?
Answer:
0.5216
Step-by-step explanation:
Given the function y =kx(1-x), the pattern of attractors are the value(s) of y at the initial value of k and x. Given the value of k = 3.26 and x = 0.8, to get the pattern of attractors, we will substitute the given initial value into the function as shown;
[tex]y =kx(1-x)\\\\y = 3.26(0.8)(1-0.8)\\\\y = 3.26*0.8*0.2\\\\y = 0.5216\\\\[/tex]
Hence, the pattern of attractor for the equation y is 0.5216
7 times the difference between m and 8
Answer:
7(m-8)
Step-by-step explanation:
We are given: 7 times the difference between m and 8
We want to write an expression. Let’s begin with “the difference between m and 8”.
Difference means subtraction. Therefore, we must subtract m and 8.
(m-8)
Now, let’s add on “7 times”
Times means multiply. Therefore, we must multiply 7 and the expression we just wrote.
7(m-8)
Therefore, 7 times the difference between m and 8 can be written as: 7(m-8)
Answer:
7(m-8)
Step-by-step explanation
7 times the difference between m and 8 = 7*(m-8)
First, we know that difference, in a mathematical term, means subtraction, and “times” Means multiplication.
But, since it says,” difference between m and 8”, we must put those in parentheses, so we know that it is m-8, not 7*m.
so, therefore you have 7*(m-8), or 7(m-8)
Question 2 of 9
Enter the correct answer in the box.
What is the factored form of this expression?
x2 + 6x - 16
Substitute numerical values into the expression for p and q.
(x + p) (x +9)
Answer:
x^2 + 6x - 16
=x^2 + ( 8-2 )x -16
=x^2 + 8x - 2x -16
= X(X+8) -2(X+8). ( Taking common from term 1 and 2 and then from 3 and 4)
= ( X+8 ) ( x-2 ) ( Taking common from term 1 and 2).
so, this is the factored form of the expression x^2 + 6x - 16.
Answer:
1.(x-2)(x+8)
Step-by-step explanation:
1.x2+8x-2x-16
=×(x+8)-2(x+8)
=(x-2)(x+8)
Find the lateral area of the prism.
Answer:
576"
Step-by-step explanation:
AL=ph
AL= (4*12)12
AL= 48*12
AL=576"
find the value of a, b, c, and d,
type exact answers and use radicals as needed
Step-by-step explanation:
Using trigonometrical functions we can obtain the required side lengths.
[tex] \sin 45\degree = \frac{a}{16\sqrt 2}\\\\
\therefore \frac{1}{\sqrt 2}= \frac{a}{16\sqrt 2}\\\\
\therefore a = \frac{16\sqrt 2}{\sqrt 2}\\\\
\huge\red {\boxed {\therefore a = 16}} \\\\
\cos 45\degree = \frac{c}{16\sqrt 2}\\\\
\therefore \frac{1}{\sqrt 2}= \frac{c}{16\sqrt 2}\\\\
\therefore c = \frac{16\sqrt 2}{\sqrt 2}\\\\
\huge\purple {\boxed {\therefore c = 16}} \\\\
\sin 30\degree = \frac{a}{b}\\\\
\therefore \frac{1}{2}= \frac{16}{b}\\\\
\therefore b = {16\times2}\\\\
\huge\orange{\boxed {\therefore b = 32}} \\\\
\tan 30\degree = \frac{a}{d}\\\\
\therefore \frac{1}{\sqrt 3}= \frac{16}{d}\\\\
\therefore d = {16\times\sqrt 3}\\\\
\huge\pink {\boxed {\therefore d = 16\sqrt 3}} \\\\
[/tex]
[tex]x+7-4(x+1)=-10[/tex]
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 13/3, 4 1/3, or 4.3
▹ Step-by-Step Explanation
x + 7 - 4(x + 1) = -10
x + 7 - 4x - 4 = -10
-3x + 7 - 4 = -10
-3x + 3 = -10
-3x = -10 - 3
-3x = -13
x = 13/3, 4 1/3, or 4.3
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
x = 13/3
Step-by-step explanation:
x + 7 - 4(x + 1) = -10
x + 7 - 4x - 4 = -10
-3x + 3 = -10
-3x = -13
x = -13/(-3)
x = 13/3
I need to know if the following questions are true or false
Answer:
False
Step-by-step explanation:
To find <A, we can do 5x - 80 = 3x + 20.
As we simplify, we will get 2x = 100, which is x = 50
Therefore, <A will be 50 degrees and not 45 degrees.
Also, if you need y, you can do:
3y - 7 = y + 7
2y = 14
y = 7
A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is$31 . The total cost to rent 6 chairs and 5 tables is $59 . What is the cost to rent each chair and each table?
Answer:
The cost to rent each chair is $2.75 and the cost to rent each table is $8.50
Step-by-step explanation:
Let the:
Cost to rent a chair = x
Cost to rent a table = y
We would form an algebraic equation.
The total cost to rent 2 chairs and 3 tables is $31
2x + 3y = 31 ...... Equation 1
The total cost to rent 6 chairs and 5 tables is $59
6x + 5y = 59 ......... Equation 2
We solve the above equation above using elimination method
Multiply Equation 1 all through by the coefficient of x = 6 in Equation 2
Multiply Equation 2 all through by the coefficient of x = 2 in Equation 1
Hence, we have:
2x + 3y = 31 ...... Equation 1 × 6
6x + 5y = 59 ......... Equation 2 × 2
12x + 18y = 186........ Equation 3
12x + 10y = 118 .…...... Equation 4
Subtracting Equation 4 from Equation 3
= 8y = 68
y = 68/8
y = 8.5
Therefore, the cost to rent a table = $8.50
Substituting 8.5 for y in Equation 1 to get the value of x
2x + 3y = 31 ...... Equation 1
2x + 3(8.5) = 31
2x = 31 - 3(8.5)
2x = 31 - 25.5
2x = 5.5
x = 5.5/2
x = 2.75
The cost to rent a chair = $2.75
Therefore, the cost to rent each chair is $2.75 and the cost to rent each table is $8.50
How large a sample must be drawn to estimate population proportion confidence interval width to within .04, with 95% confidence, if we believe the true percentage is 80%
Answer:
Sample size 'n' = 384
Step-by-step explanation:
Explanation:-
Given margin of error = 0.04
The sample proportion 'p'= 0.80
The margin of error is determined by
[tex]M.E = \frac{Z_{\alpha } \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
[tex]0.04 = \frac{1.96 \sqrt{0.80(1-0.80)} }{\sqrt{n} }[/tex]
Cross multiplication, we get
[tex]\sqrt{n} = \frac{1.96 \sqrt{0.80(1-0.80)} }{0.04 }[/tex]
√n = 19.6
Squaring on both sides , we get
n = 384.16≅384
A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.03 years, with sample standard deviation s = 0.82 years. However, it is thought that the overall population mean age of coyotes is μ = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use α = 0.01.
Answer:
Yes the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 51[/tex]
The sample mean is [tex]\= x = 2.03[/tex]
The sample standard deviation is [tex]\sigma = 0.82[/tex]
The population mean is [tex]\mu = 1.75[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is
[tex]H_o : \mu = 0.82[/tex]
The alternative hypothesis is
[tex]H_a : \mu >1.75[/tex]
The critical value of the the level significance [tex]\alpha[/tex] obtained from the critical value table for z-value is [tex]z_\alpha = 2.33[/tex]
Now the test statistic is mathematically evaluated as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{ 2.03 - 1.75 }{\frac{0.82}{\sqrt{51} } }[/tex]
[tex]t = 2.44[/tex]
From that calculated and obtained value we see that the critical value of the level of significance is less than the test statistics so we reject the null hypothesis
Hence there sufficient evidence to proof that the sample data indicates that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years
Which set of ordered pairs represents a function? {(0,1), (1,3), (1,5) (2,8)}, {(0,0), (1,2), (2,6), (2,8)}, {(0,0), (0,2), (2,0), (2,4)}, {(0,2), (1,4), (2,6), (3,6)}
Answer:
The last set.
Step-by-step explanation:
The first 3 sets contain 'one-to-many' relations , for example (1, 3) and (1, 5) in set 1 and (0, 0) and (0, 2) in set 3 , so they are not functions.
The last set does not have any of these and is a function.
7.
The area of this parallelogram is 120 ft. Find the value of h.
1
20 ft
12 ft
3 ft
15 ft
6 ft
Answer:
h = 6 ft.Step-by-step explanation:
area = base x height
where base = 20 ft.
height = ?
area = 120 ft²
plugin values into the formula
120 = 20 x height
height = 120
20
height = 6 ft.
Construct a 99% confidence interval of the population proportion at the given level of confidence. x=240, n=300 the lower bound is? the upper bound is?
Answer: lower bound = 0.7404; upper bound = 0.8596
Step-by-step explanation:
The proportion p for this population:
p = [tex]\frac{240}{300}[/tex]
p = 0.8
Confidence interval for proportion is calculated as:
p ± z-score.[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
Z-score for a 99% confidence interval is: z = 2.58
Calculating:
0.8 ± 2.58.[tex]\sqrt{\frac{0.8(0.2)}{300} }[/tex]
0.8 ± 2.58.[tex]\sqrt{0.00053}[/tex]
0.8 ± 2.58(0.0231)
0.8 ± 0.0596
This means that the lower limit of this interval is 0.7404 and upper bound is 0.8596
Type the correct answer in each box. Use numerals instead of words. Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. The average number of visits on the website for 5 weeks is given in the table below. Number of Weeks Avg. Number of Visits 0 48,000 1 24,000 2 12,000 3 6,000 4 3,000 5 1,500 The initial number of visits to the website was . The percent decrease from 4th week to 5th week was %. The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was
Answer:
48,00050%1500Step-by-step explanation:
The table is easier to read if formatted more like a table:
Number of Weeks Avg. Number of Visits
0 48,000
1 24,000
2 12,000
3 6,000
4 3,000
5 1,500
__
The initial number of visits to the website was 48,000. -- the value for week 0.
The percent decrease from 4th week to 5th week was 50%. ((new/old) -1)·100% = (1500/3000 -1)·100% = -50%
The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was 1,500. (the number in the 5th week)
The graph of a linear equation g(x)=-1/3x +2 can be obtained from the graph f(x)=1/3x by using infinite sets of elementary translation (i.e reflection and shifting). List out five of those sets
Answer:
{Rx, T(-6, 4)}{Rx, T(-3, 3)}{Rx, T(0, 2)}{Rx, T(3, 1)}{Rx, T(9, -1)}Step-by-step explanation:
We assume you are not interested in five infinite sets of translations. Rather, we assume you want to pick 5 translations from the infinite set of possibilities.
The attached graph shows f(x), g(x), and 5 lines (dashed or dotted) that represent possible reflections and shifts of the function f(x).
The function f1 represents a reflection of f(x) about the x-axis, followed by a left-shift of 6 units. To make it match g(x), we need to shift it upward 4 units. Then the set if translations is ...
g(x) = f(x) ... {reflected over the x-axis, shifted left 6, shifted up 4}
Along the same lines, other possibilities are ...
g(x) = f(x) ... {reflected over the x-axis, shifted left 3, shifted up 3}
g(x) = f(x) ... {reflected over the x-axis, shifted left 0, shifted up 2}
g(x) = f(x) ... {reflected over the x-axis, shifted right 3, shifted up 1}
g(x) = f(x) ... {reflected over the x-axis, shifted right 9, shifted down 1}
___
Additional comment
All of the transformations listed above use reflection in the x-axis. Reflection could use the y-axis, as well. Reflection of the basic function f(x) in the y-axis will have the identical effect as reflection in the x-axis. The listed translations would apply unchanged.
An 8 foot square floor is to be covered with square tiles measuring 8 inches on each side. If each tile
costs 50 cents, how much will it cost to tile the floor?
A. $32
B. $64
C. $72
D. $96
Please explain how to get the answer
Answer:
72
Step-by-step explanation:
There are 12 inches in a foot.
Therefore in 8 feet there are 96 inches
Therefore the square floor is 96 * 96.
Therefore the area of the square floor is 9216 inches squared.
Each tile is 8 inches by 8 inches meaning it has an area of 64 inches squared.
9216 / 64 = 144.
Therefore 144 tiles are needed to tile the floor
Since each tile is 50 cents, 144 * 0.5 = 72
Therefore it costs 72 dollars to tile the floor.
100 POINTS!!! NEED HELP ASAP The question is the first picture and the second question is the answers to choose. Thank you!
Answer:
4, 3, 5, 8, 7, 6, 1, 2
Step-by-step explanation:
Let’s label the options with numbers.
Solve the percentages:
1) 442/(442+267) = 62.4%
2) 701/(701+187) = 78.9%
3) 267/(267+442)= 37.7%
4) 187/(187+701) = 21.1%
5) 442/(442+701) = 39.4%
6) 701/(442+701) = 61.3%
7) 267/(187+267) = 58.8%
8) 187/(187+267) = 41.2%
Arrange from least to greatest.
4, 3, 5, 8, 7, 6, 1, 2