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Mice21 [21]
3 years ago
14

If n√a=r , then which of the following are true statements? Check all that apply. A. r^n=a B. a^1/n=r C. a^r=n D. n^1/r=a

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0
I'm interpreting this has 'the nth root of a = r'.

n the root of a  = a ^(1/n) 


so its B
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The bakery made 92 muffins 17 or a blueberry 23 with cranberry and the rest of the chocolate chip how many chocolate chip muffin
astra-53 [7]
If there are 92 muffins in total and 17 are blueberry, and 23 are cranberry then the remaining muffins (chocolate chip) is 52 muffins.
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3 years ago
A random sample of 150 men found that 88 of the men excercise regularly, while a random sample 200 women found that 130 of the w
melamori03 [73]

Answer:

The hypothesis is:

<em>H₀</em>: p_{X}-p_{Y}=0.

<em>Hₐ</em>: p_{X}-p_{Y}.

Step-by-step explanation:

Let <em>X</em> = number of men who exercise regularly and <em>Y</em> = number of women who exercise regularly.

The information provided is:

n_{X}=150\\X=88\\n_{Y}=200\\Y=130

Compute the sample proportion of men and women who exercise regularly as follows:

\hat p_{X}=\frac{X}{n_{X}}=\frac{88}{150}=0.587

\hat p_{Y}=\frac{Y}{n_{Y}}=\frac{130}{200}=0.65

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 150 and \hat p_{X}=0.587.

The random variable <em>Y</em> also follows a Binomial distribution with parameters <em>n</em> = 200 and \hat p_{Y}=0.65.

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\hat p=p

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}

So, the sampling distribution of the proportion of men and women who exercise regularly follows a Normal distribution.

A two proportion <em>z</em>-test cab be performed to determine whether the proportion of women is more than men who exercise regularly.

The hypothesis for this test cab be defined as:

<em>H₀</em>: The proportion of women is same as men who exercise regularly, i.e. p_{X}-p_{Y}=0.

<em>Hₐ</em>: The proportion of women is more than men who exercise regularly, i.e. p_{X}-p_{Y}.

6 0
3 years ago
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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The given triangles are congruent by :

  • ASA criterion

because they have Two Angles and a side between them equal to the corresponding Angles and side of the another triangle.

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2 years ago
Starting with the formula for the difference of cubes, which pair of steps can be used to show that the expressions are
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C hope it helps ¯\_(ツ)_/¯
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3 years ago
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Farmer Jack needs 1,800 square feet of garden space to have enough corn for a year. His garden space is currently 10 5?6 feet by
sergey [27]

Answer:

1,605\ ft^{2}

Step-by-step explanation:

step 1

Find the area of the garden space

First convert mixed number to an improper fraction

10\frac{5}{6}\ ft=\frac{10*6+5}{6}=\frac{65}{6}\ ft

A=\frac{65}{6}*18=195\ ft^{2}

step 2

Find how much more land Farmer Jack needs to plant the rest of his corn

1,800\ ft^{2}-195\ ft^{2}=1,605\ ft^{2}

4 0
3 years ago
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