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hram777 [196]
2 years ago
13

You want to know how many of the students at your school eat lunch everyday. Of the 3545 students you randomly ask 300. 220 say

yes, 70 say no and 10 don't know. Based on your survey what is the best estimate of the number of students who eat lunch everyday?
a.) 3300
b.) 2600
c.) 827
d.) 1500
(no links please!)
Mathematics
1 answer:
natita [175]2 years ago
6 0

Answer:

B) 2600

Step-by-step explanation:

Set up a proportional equation and solve:

220/300=x/3545

(220)(3545)=300x

779900=300x

2599.666=x

2600=x

Your best estimate is B) 2600

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What is the area of this shape?
suter [353]

Step-by-step explanation:

There are four quarter circles, each with radius 9 ft.  Together, they form a full circle.  There are also four squares, each with side length 9 ft.

A = πr² + 4s²

A = π (9 ft)² + 4 (9 ft)²

A ≈ 578.469 ft²

6 0
2 years ago
A passenger train and a freight train leave San Jose at 3PM, traveling in the same direction. The passenger train is going three
Liono4ka [1.6K]

Let's say that the speed of the freight train is x and the one of the passenger train is 3x.

x MPH means every hour the freight train covers x miles., which means in 3h it will have covered 3 times as much: 3x mi.

Following the same logic, 3x MPH means every hour the passenger train covers 3x miles, meaning after 3h it will have covered 3 times as much as well: 9x mi.

Now, having expressed those distances and speeds algebraically, we find the difference between the two distances covered after 3h, knowing it will be equal to 240:

9x-3x=6x\\6x=240\\x=240/6\\x=40

Knowing this, we can surely affirm that the freight train is travelling at 40MPH and the passenger train is travelling three times as fast, 120MPH.

5 0
3 years ago
7x - Зу = 45<br><br> 4х + 5y = 19
inysia [295]

Answer:

(6,-1)

Solve for the first varible in one of the equations, then subsititue the other equation.

3 0
2 years ago
Suppose that an airline uses a seat width of 16.5 in. Assume men have hip breadths that are normally distributed with a mean of
Alexxx [7]

Answer:

a) 0.018

b) 0            

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  14.4 in

Standard Deviation, σ = 1 in

We are given that the distribution of breadths is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(breadth will be greater than 16.5 in)

P(x > 16.5)

P( x > 16.5) = P( z > \displaystyle\frac{16.5 - 14.4}{1}) = P(z > 2.1)

= 1 - P(z \leq 2.1)

Calculation the value from standard normal z table, we have,  

P(x > 16.5) = 1 - 0.982 = 0.018 = 1.8\%

0.018 is the probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.5 in.

b) P( with 123 randomly selected​ men, these men have a mean hip breadth greater than 16.5 in)

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

P(x > 16.5)  

P( x > 16.5) = P( z > \displaystyle\frac{16.5-14.4}{\frac{1}{\sqrt{123}}}) = P(z > 23.29)  

= 1 - P(z \leq 23.29)

Calculation the value from standard normal z table, we have,  

P(x > 16.5) = 1 - 1 = 0

There is 0 probability that 123 randomly selected men have a mean hip breadth greater than 16.5 in

4 0
3 years ago
Steve and Michelle Neely are celebrating their 30th anniversary by having a reception at a local reception hall. They have budge
lord [1]
4 500-60 = 4 440
4 440/38 = 116.8
At most they would be able to invite 116 people to the reception with their budget.  
8 0
3 years ago
Read 2 more answers
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