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2 years ago

5

Which of these graphs represents an even function?

1 answer:

lidiya [134]2 years ago

6 0

D because I’ve done this test before

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Which is the better buy? Find the unit rate for each meat. Show your work and explain reasoning.

KATRIN_1 [288]

You start by changing the fraction into a decimal.

4.5 lb. of ground beef= 16.11

6.25 lb. of ground turkey= 18.50

Next, you divide the amount they cost by the pounds to get the price per pound.

16.11÷4.5= 3.58

18.50÷6.25= 2.96

So, a pound of beef is $3.58, and a pound of turkey is $2.96.

The turkey is 62 cents less than the beef per pound.

That means the turkey is a better buy! :)

(Have a good day! :))

4 0

2 years ago

One environmental group did a study of recycling habits in a California community. It found that 75% of the aluminum cans sold i

AysviL [449]

Answer:

a

$P( \^ p > 0.775 ) = 0.12798$

b

$P( 0.6718 < p < 0.775 ) =0.87183$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.75$

Considering question a

The sample size is $n = 387$

Generally the standard deviation of this sampling distribution is

$\sigma = \sqrt{ \frac{p(1 - p)}{ n } }$

=> $\sigma = \sqrt{ \frac{0.75(1 - 0.75)}{ 387 } }$

=> $\sigma = 0.022$

The sample proportion of cans that are recycled is

$\^ p = \frac{ 300}{387 }$

=> $\^ p = 0.775$

Generally the probability that 300 or more will be recycled is mathematically represented as

$P( \^ p > 0.775 ) = P( \frac{\^ p - p }{ \sigma } > \frac{0.775 - 0.75 }{ 0.022} )$

$\frac{\^ p - p }{\sigma } = Z (The \ standardized \ value\ of \ \^ p )$

$P( \^ p > 0.775 ) = P( Z > 1.136 )$

From the z table the area under the normal curve to the left corresponding to 1.591 is

$P( Z > 1.136) = 0.12798$

=> $P( \^ p > 0.775 ) = 0.12798$

Considering question b

Generally the lower limit of sample proportion of cans that are recycled is

$\^ p_1 = \frac{ 260 }{387 }$

=> $\^ p_1 = 0.6718$

Generally the upper limit of sample proportion of cans that are recycled is

$\^ p_2 = \frac{ 300}{387 }$

=> $\^ p_2 = 0.775$

Generally probability that between 260 and 300 will be recycled is mathematically represented as

$P( 0.6718 < p < 0.775 ) = P( \frac{0.6718 - 0.75 }{ 0.022}< \frac{\^ p - p }{ \sigma }$

=> $P( 0.6718 < p < 0.775 ) = P( -3.55 < Z < 1.136 )$

=> $P( 0.6718 < p < 0.775 ) = P(Z < 1.136 ) - P( Z < -3.55 )$

From the z table the area under the normal curve to the left corresponding to 1.136 and -3.55 is

$P( Z < -3.55 ) = 0.00019262$

and

$P(Z < 1.136 ) = 0.87202$

So

$P( 0.6718 < p < 0.775 ) = 0.87202- 0.00019262$

=> $P( 0.6718 < p < 0.775 ) =0.87183$

4 0

2 years ago

you put $400 in an account. the account earns $18 simple interest in 3 years. what is the annual interest

nadya68 [22]

Answer:

$6

Step-by-step explanation:

divide 18 into three

18÷3=6

8 0

2 years ago

Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary,

olya-2409 [2.1K]

A= 2(w l + h l + h w) = 224m^2

7 0

2 years ago

Name all of the radii of the circle. Ok guys im soooo sorry!!!

stich3 [128]

Answer: B

Step-by-step explanation:

8 0

2 years ago

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