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2 years ago

the ratio of isabellas money to shanes money is 3:11. if isabella hass $33 how mutch money do shane and isabella have together

1 answer:

3 0

3/11 = 33/x
cross multiply
3x = 11 * 33
3x = 363
x = 363/3
x = 121 <===Snane's money

121 + 33 = 154 <== together they have $ 154

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Solve 5(2x – 3) = x – 15 + 9x for x.

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Answer:

the correct answer is option C) 0

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2 years ago

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

2 years ago

Use compatible numbers to estimate the quotient <br> 252÷3

ICE Princess25 [194]

Answer:

The value of the given expression is 84.

Step-by-step explanation:

The given expression is

$\frac{252}{3}$

The number 252 can be written as 240+12, because 24 can easily divisible by 3.

The compatible numbers are 240 and 12

$\frac{252}{3}=\frac{240+12}{3}$

$\frac{252}{3}=\frac{240}{3}+\frac{12}{3}$

$\frac{252}{3}=80+4$

$\frac{252}{3}=84$

Therefore the value of the given expression is 84.

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2 years ago

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Dahasolnce [82]

A. 48 is the answer because 8x6

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2 years ago

Read 2 more answers

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Marina CMI [18]

Answer:

$\frac{-13}{15} x-52$

Step-by-step explanation:

$\frac{-5}{6}x-\frac{7}{30}x+\frac{1}{5}x-52$

$=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52$

Combine Like Terms:

$=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52$

$=(\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x)+(-52)$

$=\frac{-13}{15}x+-52$

Therefore, $\frac{-13}{15}x+-52$ will be your final answer.

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2 years ago