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Assoli18 [71]
3 years ago
7

A University of Florida economist conducted a study of Virginia elementary school lunch menus. During the state-mandated testing

period, school lunches average 863 calories. The economist claimed that after the testing period end, the average calories content of Virginia school lunches dropped significantly. Set up the null and alternative hypothesis to test the economist`s claim. Let m be the average calories content of Virginia school lunches.
Mathematics
1 answer:
vichka [17]3 years ago
4 0

Answer:

The null hypothesis: m >= 863 calories

(School lunches average 863 calories.)

The alternative hypothesis: m < 863 calories.

(average calories content of school lunches dropped significantly)

Step-by-step explanation:

School lunches average 863 calories.

The claim: After the testing period end, the average calories content of Virginia school lunches dropped significantly.

Let m be average calories content of Virginia school lunches.

The null hypothesis: m >= 863 calories

(School lunches average 863 calories.)

The alternative: m < 863 calories.

(average calories content of school lunches dropped significantly)

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For what value of the variable the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)?
Semmy [17]

The value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x) for x=2

Step-by-step explanation:

We have to write the given problem mathematically to solve it

So,

4(5x-8) = 2(4-x)+4

First of all, distributive property will be applied

20x-32 = 8-2x+4\\20x-32 = 12-2x

We have to isolate the variable on one side of the equation

Adding 2x on both sides of equation

20x-32+2x = 12-2x+2x\\22x-32 = 12

Addition property of equality with 32

22x-32+32 = 12+32\\22x = 44

Division Property of Equality (22)

\frac{22x}{22} = \frac{44}{22}\\x = 2

Hence,

The value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x) for x=2

Keywords: Linear equation, variables

Learn more about linear equations at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

3 0
3 years ago
The figure below is made up of squares of sides 9 cm and 14 cm.Find the area of the shaded part.​
Sonbull [250]

Answer:

The answer of this equation is 65cm^2

Step-by-step explanation:

7 0
3 years ago
What is the correct answer?​
Nutka1998 [239]

Answer:

D) 8

Step-by-step explanation:

You multiply 10 by 12 to get 120 so you multiply x by 12 to get 96.

96 = 12x

/12     /12

8   =   x

5 0
4 years ago
Will Give Brainliest
PtichkaEL [24]
Surface area is taking the area of each face and adding it together. The equation is 2lw + 2hw + 2hl. So, for example, you'd take the length and the width to the find the area of the top. Multiply this by 2 to find the top AND the bottom. You need to end with 6 sides and all these together to find your surface area.
8 0
4 years ago
The system of linear equations -2x+y=8 and -3x-y=7 is graphed below. What is the solution to the system of equations? (–3, 2) (–
Slav-nsk [51]

Answer:

x = -3 , y = 2

Step-by-step explanation:

Solve the following system:

{y - 2 x = 8 | (equation 1)

{-3 x - y = 7 | (equation 2)

Swap equation 1 with equation 2:

{-(3 x) - y = 7 | (equation 1)

{-(2 x) + y = 8 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{-(3 x) - y = 7 | (equation 1)

{0 x+(5 y)/3 = 10/3 | (equation 2)

Multiply equation 2 by 3/5:

{-(3 x) - y = 7 | (equation 1)

{0 x+y = 2 | (equation 2)

Add equation 2 to equation 1:

{-(3 x)+0 y = 9 | (equation 1)

{0 x+y = 2 | (equation 2)

Divide equation 1 by -3:

{x+0 y = -3 | (equation 1)

{0 x+y = 2 | (equation 2)

Collect results:

Answer:  {x = -3 , y = 2

8 0
3 years ago
Read 2 more answers
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