Answer:
why you delete my answer before question
Business Weekly conducted a survey of recent graduates from the top MBA programs. On the basis of the survey, assume that 60% of the recent graduates annual salary exceeds $40000. Suppose you take a simple random sample of 51 recent graduates. Note: round all z scores to decimal places and all other numbers to 4 decimal places. Find the probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000
Using the normal distribution and the central limit theorem, it is found that there is a 0.9279 = 92.79% probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem, we have that:
60% of the recent graduates annual salary exceeds $40000, hence p = 0.6.A sample of 51 is taken, hence n = 51.The mean and the standard error are given by:
[tex]\mu = p = 0.6[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.6(0.4)}{51}} = 0.0686[/tex]
The probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000 is the p-value of Z when X = 0.7, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.7 - 0.6}{0.0686}[/tex]
[tex]Z = 1.46[/tex]
[tex]Z = 1.46[/tex] has a p-value of 0.9279.
0.9279 = 92.79% probability that less than 70% of the 51 recent graduates have an annual salary exceeding $40000.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
32 is what percent of 50?
64%
70%
1.5%
156%
Answer:
64% hope this helps
Step-by-step explanation:
I'm just smart
Answer:
The answer is 64%
Step-by-step explanation:
5= 10% multiply 5 by 6 and you get 30. the 2 equals 4 percent so the percent is 64%. I hope this helps.
The total assets of a company in millions of dollars can be modeled by the function f (a)
represents the number of years that have passed since the company was founded.
-0.502 + 8x + 3, where &
help me out i will give brainlist
Answer:
no
Step-by-step explanation:
0.06 = [tex]\frac{6}{100}[/tex] ← that is 6 books out of 100
she requires to have 60 out of 100 , that is
[tex]\frac{60}{100}[/tex] = 0.6
Julia was creating similar triangles in the coordinate plane. The first triangle had a rise of 3 and a run of 10. The second triangle had a rise of 7. 5. Analyze Julia’s work to see if she found the correct length of the run for the second triangle to be similar to the first triangle. 1. 3 10 = 7. 5 x 2. 75 = 3x 3. X = 25 Is Julia correct? If not, what was her mistake? Yes, she is correct. No, her proportion does not have the corresponding measures from corresponding figures in the same positions in the ratios. No, she needed to have the product of the numerators equal to the product of the denominators. No, she needed to multiply 7. 5 to both sides.
Yes julia is correct the run of the scond similar triangle will be b2=25.
What are simlilar traingles?The similar triangle are those whose three sides or one angle or two sides or two angles one side are equal.
In the given:
Height of first triangle h=3
Base of first traingle =10
Height of second triangle =7.5
The base of second triangle b2 = ?
From the triangle similarity
[tex]\dfrac{h_1}{b_1}=\dfrac{h_2}{b_2}[/tex]
[tex]\dfrac{3}{10}=\dfrac{7.5}{b_2}[/tex]
[tex]b_2=\dfrac{7.5\times 10}{3}[/tex]
[tex]b_2=25[/tex]
Thus julia is correct the run of the scond similar triangle will be b2=25.
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what's another way to say a+a
A. a^2
B. a+2
C. a-a
D. 2a
Answer:
[tex]\boxed{\sf{2a}}[/tex]Step-by-step explanation:
In order to solve this problem, you need to add their similar elements together.
First, add similar to elements.
[tex]\sf{a+a=\boxed{\sf{2a}}[/tex]
So, the correct answer is D. 2a.I hope this helps you! Let me know if my answer is wrong or not.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
answer "Less than"
Step-by-step explanation:
a) 1 2/3 = 5/3 = 1.666 ...
b) 1 5/6 = 11/6 = 1.833 ...
a < b
Answer:
1 5/6 > 1 2/3
Step-by-step explanation:
=> 1 5/6 = (1*6)+5/6
=> 1 5/6 = 6+5/6
=> 1 5/6 = 11/6
so like that, 1 2/3 = 5/3
now the denominators should be the same
for that,
5*2/3*2 = 10/6
11/6 and 10/6
=> 11/6 > 10/6
=> 1 5/6 > 1 2/3
A windowpane is 5 inches by 6 inches. What is the distance between opposite corners of the windowpane?
Answer:
6 in.
Step-by-step explanation:
5 inches is the width. Length is 6 in.
What is the number halfway between 8516 and 8586?
Answer:
8551
Step-by-step explanation:
The midpoint of two numbers can be found by finding the mean of the two numbersMidpoint = 8516 + 8586 / 2We clearly see both numbers start with the digits '85' therefore their midpoint will also start with '85'The remaining two digits on those two numbers should be added and divided by 2⇒ 16 + 86 / 2 = 102/2 = 51Midpoint = 8551find the hcf of 6 and 8 by prime factorization method
pls help?
Answer:
2
Step-by-step explanation:
Factorization of the following.
6=3×2×1
8=2×2×8×1
Since, The common factor is 2.This implies that
H.C.F=2
Math riddle where do you put smart hot dogs
no links and will give brainliest
Q: Where do you put a smart hot dog? A: On the honor roll.
The solution is, the final answer is 78.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
The parts of the final expression are ...
6 walker = 150
walker = 150/6 = 25
yoda^4 = 81
yoda = 81^(1/4) = 3
2 Rtwo +100 = 120
Rtwo = (120 -100)/2 = 10
luke + yoda × Rtwo + walker × Rtwo = 285
luke + 3×10 + 25×10 = 285
luke = 285 -280 = 5
And the grand finale:
luke ^ yoda - Rtwo(walker / luke) + yoda
= 5^3 -10(25/5) +3 = 125 -50 +3
= 78
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Complete question:
May the fourth be with you math riddle.
picture is attached.
Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular
box with the dimensions shown below. He's trying to figure out how much gift wrap
he needs to cover the entire box. Should he calculate the total surface area or the
lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface
area. Calculate the one you choose, give that measurement of the box, and then
explain how you calculated it.
13 in
20 in
8 in
Demarcus should calculate the total surface area of the rectangular prism and the measurement is 1,048 in²
How to calculate the total surface area of a rectangular prismLength = 20 inwidth = 8 inHeight = 13 inTotal surface area = 2(lw + hw + lh)
= 2(20×8 + 13×8 + 20×13)
= 2(160 + 104 + 260)
= 2(524)
= 1,048 in²
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Find the length of the altitude.
[tex]135 = \frac{22 + 8}{2} \times h \\ 135 = \frac{30}{2} \times h \\ 135 = 15 \times h \\ h = \frac{135}{15} \\ h = \frac{27}{3} = 9cm[/tex]
Answer:
Area of a trapezoid :
[tex]area = \frac{a + b}{2} h[/tex]
The measures given are trapezoid
Area = 135
base 1 = 22
base 2 = 8
[tex]135 = \frac{22 + 8}{2} h \\ \\135 = \frac{30}{2} h \\ 2(135) = ( 2)\frac{30}{2} h \\ 270 = 30h \\ \frac{270}{30 } = \frac{30h}{30} \\ 9 = h[/tex]
Step-by-step explanation:
We can check if the answer is right
[tex] \frac{22 + 8}{2} \times 9 \\ \frac{30}{2} \times 9 \\ 15 \times 9 = 135[/tex]
The seats in a movie theater are arranged so that each row has 6 more seats than the row in front of it. If the first row has 24 seats, how many seats are in the 6th row?
a. 30
b. 48
c. 54
d. 60
Answer:
54 seats
Step-by-step explanation:
To make it easier, I'll put it like this.
Row | Seats
1 | 24
2 | 30
3 | 36
4 | 42
5 | 48
6 | 54
(Add 6, because each row has 6 more seats than the row in front of it.)
So, the 6th row has 54 seats.
Hope this helped !
Line n goes through points A and B. What is the slope of line n?
Point A;(4,7)
Point B:(18,17)
Answer:
The slope is 5/7.
Step-by-step explanation:
Use a slope formula.
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
y₂ = (17)
y₁ = (7)
x₂ = (18)
x₁ = (4)
Rewrite the problem down.
[tex]\sf{\dfrac{17-7}{18-4}=\dfrac{10}{14}={\dfrac{10\div2}{14\div2}=\boxed{\sf{\dfrac{5}{7}}}[/tex]
Therefore, the slope is 5/7.
I hope this helps! Let me know if my answer is wrong or not.
Answer:
5/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(17-7)/(18-4)
m=10/14
simplify
m=5/7
indicate the formula for the following conditions.
P(n,r) = ?
Answer:
P (n,r)= [tex]\frac{n!}{(n-r)!}[/tex]
Step-by-step explanation:
P (n,r)= ?
complete formula for permutation of objects in a set:
P (n,r) = [tex]\frac{n!}{(n-r)!}[/tex]
Write the equation for the circle with center at (-8,-6) and radius of 10.
Answer:
Step-by-step explanation:
What is the simplified form of the following expression? Assume x>0.
3
2X
/
4/bx
2X
4/24 x²
2X
4/244²
1bx4
412x2
Answer:
I think it's the fourth one.
5547x94
what is the answer
Answer:
521418
Step-by-step explanation:
help please this assignment is due in a few minutes
Answer:
C. 200 hours
Step-by-step explanation:
According to the given Question ,
Speed of Aeroplane is 400miles/hourIt means that the aeroplane covers 400 miles in 60 minutes.
and it is asked for 30 minutes , so
We know that 30 minutes is equal to 0.5 hours
By the formula ,
Distance = Speed × Time
putting the values given , we get
= 400×0.5
Distance = 200 miles
use the diagram to find the distance across the suspension bridge. Round your answer to the nearest foot
Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
What is the Tangent Ratio?Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.
The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.
Find the adjacent side of each right triangle using the tangent ratio:
∅ = 32
Opposite side = 52 ft
Adjacent side = x
Plug in the values into the tangent ratio:
tan 32 = 52/x
x = 52/tan 32
x = 83.2 ft.
Distance across the suspension bridge = 6(83.2) = 499.2 ft.
Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
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Kelly has some money. She spends $17.50 on clothes,
She has $6.21 left. Which model represents this?
a $17.50 -6.21 =n
b. n - 17.50 = 6.21
c. n + 17.50 = 6.21
d. n + 6.21 = 17.50
Explain.
Answer:
b
Step-by-step explanation:
because we dont know what she started with.
Answer:
b) I guess
Step-by-step explanation:
she has n. she spends $17.50 (-). she has $6.21 left
n - 17.50 =$6.21
n-17.50=$6.21
enter the value of 4 1/4 - 5/7 + (-2/7) - (-3)
Answer:
[tex]=6\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]4\frac{1}{4}-\frac{5}{7}+\left(-\frac{2}{7}\right)-\left(-3\right)[/tex]
[tex]4\frac{1}{4}=\frac{4\cdot 4+1}{4}[/tex]
[tex]=\frac{17}{4}[/tex]
[tex]=\frac{17}{4}-\frac{5}{7}+\left(-\frac{2}{7}\right)-\left(-3\right)[/tex]
[tex]=\frac{99}{28}+\left(-\frac{2}{7}\right)-\left(-3\right)[/tex]
[tex]=\frac{99}{28}-\frac{2}{7}-\left(-3\right)[/tex]
[tex]=\frac{13}{4}-\left(-3\right)[/tex]
[tex]=\frac{13}{4}+3[/tex]
[tex]=\frac{25}{4}[/tex]
[tex]\frac{25}{4}=6\frac{1}{4}[/tex]
[tex]=6\frac{1}{4}[/tex]
-{ModPatrol}
What is the mean for the following set of data, to the nearest whole number?
5, 9, 15, 18, 22
13
17
14
15
Answer:
the answer will be 14
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Answer:
The mean is 14
Step-by-step explanation:
Mean = The sum of all Numbers Divided by the count of Numbers
In this case there are 5 numbers and adding them together = 69
69/5 = 13.8
Rounding up because it ends in above 5
= 14
Gina has a bag of marbles with 5 different colors. She randomly selects a marble from
the bag and then returns the marble to the bag. She does this 300 times. The table
below shows her results.
Answer:
[tex] \frac{7}{20} [/tex]
Step-by-step explanation:
Red marbles = 33
Blue marbles = 72
Probability of selecting red or blue marbles:
[tex]33 + 72 = 105 \\ \frac{105}{300} = \frac{7}{20} [/tex]
answer fast its a test q.
based on the statement is true?
Answer:
the right answer is F (exterior angle of triangle is equal to its sum of opposite interior angle of a traingle)
Answer: W = 40 degrees.
Step-by-step explanation: When you're finding a missing interior angle, all you need is the angle measurements of the other two angles. According to the picture, we have two 70's given, which both add up to 140. All the interior angles of a triangle need to add up to 180, and we have 140 so far. That's where the missing angle comes in. When you subtract 140 from 180, you get 40, which is your missing angle.
Let me know if this is right! :)
The radius of a quarter circle is 3 what is the quarter circle's perimeter?
Answer:
21.42
Step-by-step explanation:
Imagine it as a full circle. 3 x 4 will give you the diameter of a full circle, which is 12. circumference = pi x diameter. so 12 pi (we can work that out later). now for the quater circle, divide it by 4, so 3 pi. Then you have the 2 extra edges which are both 2r, so 6 each. finally, you have 3 pi plus 12 which = 21.42
table:
0 16
2 23
4 33
6 48
8 69
10 99
is this linear or exponential?
Answer:
exponential
Step-by-step explanation:
it is an exponential function
+7
+10
+15
+21
+30
hey who knows this? i need help
Answer:
I don't see any thing there
Step-by-step explanation:
u need to include the picture
Which product has 4 zeros after the digit 3?
0.03 x 104
0.3 x 104
0.3 x 10
0.03 X 109
Answer:
0.03×104=3.12
0.3×104=31.2
0.3×10=3
0.03×109=3.27
these are the products
hope it helps!