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3 years ago

(NEED HELP ASAP)

Mathematics

2 answers:

castortr0y [4]3 years ago

7 0

Answer:

Height of the trapezoid = 5 units

Step-by-step explanation:

Given is a picture of a trapezoid.

The two parallel sides or bases have dimensions as 10 and 6 units.

The height of the trapezoid is not given and to be found out.

We have the formula for a trapezoid with bases

$b_1, b_2$ and height h is

$h\frac{b_1+b_2}{2}$

Substitute the known values in the formula for area to get h

$40=h\frac{10+6}{2} \\80=16h\\h=5$

Height of the trapezoid = 5 units

Mumz [18]3 years ago

4 0

*The missing image is attached with the answer*

The correct answer is: Height = h =5 units

Explanation:
a = 6 = Smaller base
b = 10 = Larger base
h = height

Area = A = (a + b)h/2 = 40

Plug in the values in the above equation:
h = (2*40)/(6+10)
h = 5 units

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4.5, 9, 13.5, 18...

Sladkaya [172]

Answer:

a) Arithmetic

b) 22.5

c) 4.5

d) a_n = 4.5 + 4.5(n - 1)

e) a_15 = 67.5

Step-by-step explanation:

a) Subtract one term by the term right before it, and the difference will be the common difference.

9 - 4.5 = 4.5

13.5 - 9 = 4.5

18 - 13.5 = 4.5

Therefore, the common difference is 4.5.

b) Since the common difference is 4.5, add 4.5 to the 18 (which was the last value given). The result is 22.5.

c) We have already figured out that the common difference is 4.5.

d) The explicit formula would be a_n = a1 + d(n - 1). The first term is 4.5 and d is also 4.5, so the explicit formula is a_n = 4.5 + 4.5(n-1).

e) Plug 15 into our explicit formula for n. a_15 = 4.5 + 4.5(14). The result is 67.5.

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3 years ago

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natka813 [3]

Answer:

one out of 10 chance

Step-by-step explanation:

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3 years ago

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An object on the moon weighs about 0.17 of what it would weigh on earth.

Ivahew [28]

The answer would be E.

All you have to do is multiply 185 by 0.17 and you get your answer, which would be E.

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3 years ago

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Serggg [28]

Number three is a parallelogram

Number four is a rhombus

The attributes of each quadrilateral is that it must have four sides

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4 years ago

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)

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3 years ago