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jeka94
3 years ago
6

Divide. Write your answer in simplest form. 7/10 divided by 5/16

Mathematics
1 answer:
nlexa [21]3 years ago
7 0

Answer:

\frac{56}{25}

Step-by-step explanation:

Exact Form:

\frac{56}{25}

Decimal Form:

2.24

Mixed Number Form:

2\frac{6}{25}

______________________

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Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbar
Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : n=45

\overline{x}=148.79\text{ lb}

\sigma=31.37\text{ lb}

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 :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

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

Given : Significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

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)

3 0
3 years ago
Which of the following statement is true ?
DiKsa [7]

Answer:

1st one

Step-by-step explanation:

6 0
4 years ago
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How many unique triangles can be formed with two side lengths of 10 centimeters and one 40 angel?
Tamiku [17]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
I need this answer quickly please :)
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monkey B

Step-by-step explanation:

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(50 POINTS!!) The two triangles are similar.<br><br> What is the value of x?
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Place (3x + 1)/12, and (4x)/15    (Note: the bottom triangle's base is 12 + 3)

Set the two equal to each other

(3x + 1)/12 = (4x)/15

Cross multiply

15(3x +1)/12(12) = 12(4x)/15(15)

15(3x + 1) = 12(4x)

Distribute the 15 to the two terms in the parenthesis, and 12 to 4x

15(3x) = 45x
15(1) = 15
12(4x) = 48x

45x + 15 = 48x

Isolate the variable, subtract 45x from both sides

45x (-45x) + 15 = 48x (-45x)

15 = 48x - 45x

Simplify

15 = 3x

Isolate the x, divide 3 from both sides

15/3 = 3x/3

x = 15/3

x = 5


5 is your answer

hope this helps
5 0
4 years ago
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