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3 years ago

Mr Huey gas 54 sheets of paper he gave each boy 9 sheets.how many boys are there

Mathematics

2 answers:

emmainna [20.7K]3 years ago

4 0

Answer:

There are six boys

Step-by-step explanation:

Divide 54 sheets by number of boys (9)

Helga [31]3 years ago

3 0

The answer is 45 because if u subtract 54 and 9 down u get 45

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Patti works at a coffee shop. She usually takes 3/4 h for lunch. One day the shop was very busy and patti’s manager asked her to

siniylev [52]

3/4 - 1/6 = 9/12 - 2/12 = 7/12 h

7 0

3 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:

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

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

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

$P(Z < 1.136 ) = 0.87202$

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

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

4 0

2 years ago

Divide Whole Numbers and Unit Fractions Which is the quotient of 1/4 ÷ 4 ? Use a number line to help. A number line shows zero,

sleet_krkn [62]

1 witch is C as the answer

3 0

2 years ago

Read 2 more answers

PLEASE PLEASE I SUCK AT MATH AND ITS ALL DUE FRIDAY PLEASE 10 piont !!! Select all the correct systems of equations.

alekssr [168]

Answer:

2x + y = 17

-6x = 3y - 51

Step-by-step explanation:

You get an infinite number of solutions when two equations are really just the same. This means you can convert one into the other simply by multiplying one to get the other.

In the above answer, if you multiply the above by -3 you get:

-6x -3y = -51

which is of course -6x = 3y - 51

So that is an example of a pair that has infinite solutions.

To find all of them, you'd carefully have to compare each 2 and see if there is a multiplier to convert one into the other. You can do that!

4 0

2 years ago

Scott makes a scale drawing of a rectangular park. He uses the scale 5 centimeters: 3 meters. The length of his drawing is 20 ce

Svet_ta [14]

Answer:

The area of the park is $108\ m^{2}$

Step-by-step explanation:

we know that

The scale drawing is $\frac{5}{3}\frac{cm}{m}$

step 1

Find the actual length of the rectangular park

Divide the length in the drawing by the scale drawing

$20/(5/3)=12\ m$

step 2

Find the actual width of the rectangular park

Divide the width in the drawing by the scale drawing

$15/(5/3)=9\ m$

step 3

Find the area of the park

$A=(12)(9)=108\ m^{2}$

5 0

3 years ago