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3 years ago

Mary owned n sheep and Sam had exactly 4 times as many sheep as Mary.

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

8 0

Answer:

The least value of n is, 9.

Step-by-step explanation:

Mary(M) owned the number of sheep is n i.e, M = n sheep

Sam(S) had exactly four times as many sheep as Mary , i.e, S = 4 n sheep

As per the given condition Mary buys 17 extra sheep

Now, Mary has total number of sheep, M = n +17 sheep

And Sam sells 8 of his sheep that means he has now,

But, Sam still has more sheep than Mary i.e,

Solve an inequality:

Add 8 both sides we get;

Simplify:

Now, subtract n from both the side, we get;

Simplify:

Since n is the number of sheep in integer,

then the least value of n is, 9.

Nostrana [21]3 years ago

8 0

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Given sample statistics : $n=45$

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a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

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$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

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Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

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3 years ago

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Katyanochek1 [597]

Step 1: Find X

3x + 7 + 9x + 17

Add the alike terms: 12x + 24

Linear is 180 degree, 12x + 24 = 180; now find x

X = 13

Now find the degree for both.

RST: 3 (13) + 7 = 46

VST: 9 (13) + 17 = 134

You're answer is A

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