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Alona [7]
3 years ago
10

A finance magazine did a survey and found that the average American family spends $1,600 on a summer vacation. If the distributi

on is normal with standard deviation $411, find the amount a family would have spent to be the 80th percentile. PreviousNext

Mathematics
1 answer:
Andre45 [30]3 years ago
6 0

Answer:

<h2> $1945</h2>

Step-by-step explanation:

Let X be the normal distribution

Kindly find attached a detailed annotation of the solution to the problem.

in the attached document, we found the value that corresponds to  80th percentile, hence we found the value such that the probability that the variable x is lower than this value is 0.8.

Also, from the calculation, we found that the value which corresponds to the 80th percentile is $1945

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The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of
Tpy6a [65]

Step-by-step explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

{\boxed{\sf Area=LB}}

  • Substitute the values

\hookrightarrow\sf x (6x-4)=20

\hookrightarrow\sf 6x^2-4x=20

\hookrightarrow\sf 6x^2-4x-20=0

  • Here a=6, b=-4, c=-20.
  • use quadratic formula

\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}

8 0
3 years ago
Can someone please explain to me why and how this equates to 7.4%??????
Mumz [18]

so, you're correct, it is the Food industry, and it went down from 2.7 to 2.5, well, so it really went down 2.7 - 2.5 or 0.2.


well, if we take 2.7 to be the 100% from that row, what is 0.2 off of it in percentage format?


\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2.7&100\\ 0.2&x \end{array}\implies \cfrac{2.7}{0.2}=\cfrac{100}{x}\implies x=\cfrac{0.2\cdot 100}{2.7}\implies x\approx\stackrel{\%}{7.4}

5 0
3 years ago
The correct expression for a number which is 9 times as big as the number obtained after p has been increased
defon

Answer:

9(p + 4)

Step-by-step explanation:

One of the unknown variable is p.

First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).

Translating the word problem into an algebraic expression, we have;

9 * (p + 4) = 9(p + 4)

Simplifying further, we have;

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4 0
3 years ago
Explain why my calculator gives an error when you enter cos^-1 (5/4)
Gnoma [55]

Step-by-step explanation:

because the is no answer for that in the calculator

4 0
2 years ago
Read 2 more answers
Find the area of the shaded region. Express your answer in terms of π.
Bogdan [553]

Answer:

335.115

Step-by-step explanation:

First you find the area of the circles to do that you do pi times radius squared

For the top square do 3.14(pi)time 3²=28.26

For the middle square do 3.14 times 4.5²=63.585

For the bottom square do 3.14 times 6²=113.04

Now find the area of the entire thing do 18×12+9+6+3=18×30=540

Finally do 540-the area of the squares 28.26-63.585-113.04= 335.115

So the shaded region is 335.115

Hope this helps and have a great day!

6 0
3 years ago
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