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Doss [256]
2 years ago
13

A consumer protection agency is testing a sample of cans of tomato soup from a company. If they find evidence that the average l

evel of the chemical bisphenol A (BPA) in tomato soup from this company is greater than 100 ppb (parts per billion), they will recall all the soup and sue the company.
(a) State the null and alternative hypotheses.
(b) Using the context of the problem, what would a Type I Error be in this situation?
(c) Using the context of the problem, what would a Type II Error be in this situation?
Mathematics
1 answer:
EastWind [94]2 years ago
3 0

Answer:

I think it might be a bit I'm not sure

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The approximate line of best fit is given by the equation y=40x-1800. Based on this trend which of the following best predicts t
serious [3.7K]
Solve for x

(94+1800)÷40 = 47.35

So x = 47.35
8 0
2 years ago
Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of
ratelena [41]

Answer:

The side length of the original square was 6 inches

Step-by-step explanation:

we know that

The area of a square is

A=b^2

where

b is the length side of the square

Let

x ---> the length of the original square

The area of the original square is

A=x^{2}\ in^2

The length of the smaller square is

b=(x-3)\ in

The area of the smaller square is

A=(x-3)^2\ in^2

The area of the smaller square is 1/4 the area of the original square

so

(x-3)^2=\frac{1}{4} x^{2}

solve for x

x^2-6x+9=\frac{1}{4} x^{2}

Multiply by 4 both sides

4x^2-24x+36=x^{2}

4x^2-x^2-24x+36=0\\3x^2-24x+36=0

Solve the quadratic equation by graphing

using a graphing tool

x=2, x=6

see the attached figure

The solution is x=6 in

Remember that the solution must be greater than 3 inches (because Stacey cuts  3 inches off of the length of the square and 3 inches off of the width)

therefore

The side length of the original square was 6 inches

3 0
2 years ago
Write an expression involving integers for each statement a) moving 4 steps left, then moving 9 steps right b) on 3 separate occ
Charra [1.4K]

Answer:

a) x-4+9

b) x-2

For part b, I am not 100% sure about my answer, but I am sure about part a.

3 0
2 years ago
Sally is hosting an Internet auction to sell n widgets. She receives m bids, each of the form "I want ki widgets for di dollars,
daser333 [38]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

5 0
2 years ago
Jose is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold
emmasim [6.3K]

Answer:

No. of large rooms = 7

No. of small rooms = 14

Set of equations

4x + 3y = 70  

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

Step-by-step explanation:

capacity of large rooms = 4 people

let the no. of large rooms be x

thus, total no of people which can be accommodated in x rooms = 4*x = 4x

capacity of small rooms  = 3 people

let the no. of small rooms be y

thus, total no of people which can be accommodated in y rooms = 3*y = 3y

total no. of people which can be accommodated in x large room and y small room will be = 4x + 3y

It is given that total small room and large room can accommodate 70 guests

thus,

4x + 3y = 70        _________equation 1

_________________

It is also given that Jose reserved twice as many small rooms as large rooms,

so, if no. of large rooms is x  and no. of small rooms is y

then

y = 2x        _________equation 2

substituting value of y in equation 1 we have

4x + 3(2x) = 70  

=>4x + 6x = 70  

=> 10x = 70

=> x = 70/10 = 7

No. of large rooms = 7

No. of small rooms = y= 2x = 2*7 = 14

Set of equations

4x + 3y = 70  

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

8 0
2 years ago
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