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2 years ago

Can you please solve for x?

Mathematics

1 answer:

MakcuM [25]2 years ago

6 0

Answer:

The measurement of angle L is given by the expression 180° – 130°. So, angle L measures 50°.

Step-by-step explanation:

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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

A large mixing tank currently contains 350 gallons of water, into which 10 pounds of sugar have been mixed. A tap will open, pou

Marysya12 [62]

Answer

Let t be number of minutes since tap is opened

water is increased by 20 gallons of water per minute.

sugar increase rate of 3 pounds per minute

water :- W(t) = 350 + 10 t

sugar :- S(t) = 10 + 3 t

concentration

C(t) = $\dfrac{S(t)}{W(t)}$

at t = 15 minutes

C(15) = $\dfrac{S(15)}{W(15)}$

C(15) = $\dfrac{10 + 3\times 15 }{350 + 10\times 15}$

C(15) = 0.11

at beginning t = 0 minutes

C(0) = $\dfrac{S(0)}{W(0)}$

C(0) = $\dfrac{10 + 3\times 0}{350 + 10\times 0}$

C(0) = 0.0286

C(15) > C(0)

hence, concentration is increasing as time is passing.

3 0

3 years ago

The lines shown below are parallel.if the green line has a slope of -1/2, what is the slope of the red line?

Delvig [45]

The anwser is D

because it is very easy

4 0

2 years ago

Read 2 more answers

Step by step on how to do this plz

LenKa [72]

Answer:

4xy exponent 7/2xy exponent 6

6 0

2 years ago

Read 2 more answers

The Perimeter Of A Parallelogram Is 72 Meters. The Width Of The Parallelogram Is 4 Meters Less Than It’s Length. Find The Length

saul85 [17]

The width would be x-4 and

Length would be x

Add all of the sides together

(x-4)+(x-4) + x + x =72,

Which would come out

4x-8=72

Subtract 8 fro, 72 and you get 64

Then divided 64 by 4

So. Width is 16 and length is 20 . given (x-4)

5 0

2 years ago