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Vilka [71]
3 years ago
6

How can you estimate 642 fl oz in cups

Mathematics
1 answer:
Alex17521 [72]3 years ago
7 0
1 cup = 8 fl oz

8 * 8 = 64

So 8 * 80 = 640

So 1 cup is approximately 80 fl oz.
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Consider a sampling distribution with p equals 0.15p=0.15 and samples of size n each. Using the appropriate​ formulas, find the
Grace [21]

Answer:

a.\  \mu_p=750\ \ , \sigma_p=0.005\\\\b.\  \mu_p=150\ \ , \sigma_p=0.0113\\\\c.\  \mu_p=75\ \ , \sigma_p=0.0160

Step-by-step explanation:

a. Given p=0.15.

-The mean of a sampling proportion  of n=5000 is calculated as:

\mu_p=np\\\\=0.15\times 5000\\\\=750

-The standard deviation is calculated using the formula:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\=\sqrt{\frac{0.15(1-0.15)}{5000}}\\\\=0.0050

Hence, the sample mean is μ=750 and standard deviation is σ=0.0050

b. Given that p=0.15 and n=1000

#The mean of a sampling proportion  of n=1000 is calculated as:

\mu_p=np\\\\=1000\times 0.15\\\\\\=150

#-The standard deviation is calculated as follows:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{1000}}\\\\\\=0.0113

Hence, the sample mean is μ=150 and standard deviation is σ=0.0113

c. For p=0.15 and n=500

#The mean is calculated as follows:

\mu_p=np\\\\\\=0.15\times 500\\\\=75

#The standard deviation of the sample proportion is calculated as:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{500}}\\\\\\=0.0160

Hence, the sample mean is μ=75 and standard deviation is σ=0.0160

4 0
3 years ago
Factor the expression completely.<br> 625x4 - 256y4
scoundrel [369]

<u>Answer:</u>

<u>(625 • (x4)) -  28y4</u>

<u></u>

<u>  54x4 -  28y4 3.1      Factoring:  625x4-256y4  </u>

<u> </u>

<u>Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B) </u>

<u> </u>

<u>Proof :  (A+B) • (A-B) = </u>

<u>         A2 - AB + BA - B2 = </u>

<u>         A2 - AB + AB - B2 = </u>

<u>         A2 - B2Note :  AB = BA is the commutative property of multiplication. </u>

<u> </u>

<u>Note :  - AB + AB equals zero and is therefore eliminated from the expression. </u>

<u> </u>

<u>Check :  625  is the square of  25  </u>

<u>Check : 256 is the square of 16 </u>

<u>Check :  x4  is the square of  x2  </u>

<u> </u>

<u>Check :  y4  is the square of  y2  </u>

<u> </u>

<u>Factorization is :       (25x2 + 16y2)  •  (25x2 - 16y2)  3.2      Factoring:  25x2 - 16y2  </u>

<u> </u>

<u>Check :  25  is the square of  5  </u>

<u>Check : 16 is the square of 4 </u>

<u>Check :  x2  is the square of  x1  </u>

<u> </u>

<u>Check :  y2  is the square of  y1  </u>

<u> </u>

<u>Factorization is :       (5x + 4y)  •  (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)</u>

5 0
3 years ago
Your EZ Pass account begins with $80. It costs you $4/day. Write an equation
vivado [14]

Answer:

The equation is A(d) = 80 - 4d

Step-by-step explanation:

Linear function:

A linear function for the amount of money in an account after t days is given by:

A(d) = A(0) - md

In which A(0) is the initial value and m is the daily cost.

Your EZ Pass account begins with $80. It costs you $4/day.

This means that A(0) = 80, m = 4

So

A(d) = A(0) - md

A(d) = 80 - 4d

7 0
3 years ago
two companies offer different charges for text messaging company 1 charges 0.06 per text message while company 2 charges rates a
yanalaym [24]

Answer:

Step-by-step explanation:

I need help too

8 0
2 years ago
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!
Luden [163]

Answer:

C. 114

Step-by-step explanation:

bikes have 2 wheels

skateboards have 4 wheels

incline skates have 8 wheels in total

7*2 = 14

9*4 = 36

8*8 = 64

if you add all of these up you get 114 wheels in total. 8*8 was from 24-7-9 = 8

8 0
2 years ago
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