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2 years ago

10

What is the area of the right trapezoid? Please answerrr

1 answer:

Vanyuwa [196]2 years ago

6 0

Answer:

A = 56 in²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂ )

h is the perpendicular height between bases and b₁, b₂ the bases

here h = 7 , b₁ = 10 , b₂ = 6 , then

A = $\frac{1}{2}$ × 7 × (10 + 6) = 3.5 × 16 = 56 in²

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A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.

zzz [600]

Answer:

$CI=(66.54,78.46)$

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , $\bar{X}=72.5\%$ , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

$\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}$

From the t-table with 9 degree of freedom for $\frac{\alpha}{2}=0.005$

$t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}$

$t_{n-1,\frac{\alpha}{2}}=3.250$

The 99% confidence interval is given by,

$CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}$

$CI=72.5 \pm 5.96$

$CI=(72.5+5.96),(72.5-5.96)$

$CI=(66.54,78.46)$

8 0

3 years ago

What is the geometric sequence?<br><br> 2,3,4.5?

kykrilka [37]

An=a12n-1 or an=(1)2n-1

7 0

3 years ago

Solve the equation for 0° ≤ x ≤ 90°. Round to the nearest degree. tan^2 B = 4

Anettt [7]

<u>ANSWER</u>

$B=63\degree$

<u>EXPLANATION</u>

We want to solve the trigonometric equation;

$tan^2(B)=4$ , where $0\degree \le B \le 90\degree$ .

Taking square root of both sides gives,

$tan(B)=\pm \sqrt{4}$

$tan(B)=\pm 2$

Since B is in the first quadrant, we proceed with;

$tan(B)=2$ , because the tangent ratio is positive in the first quadrant.

$\Rightarrow B =arctan(2)$

$\Rightarrow B =63.43\degree$ .

Correct to the nearest degree,

$B =63\degree$

7 0

3 years ago

What’s the answer to this if u know tho! Thank uuu :)))

alukav5142 [94]

Answer:

180=40+(x+20)

x+20=140

x=120

6 0

3 years ago

Read 2 more answers

What is 4³ written in expanded form?

olga55 [171]

Answer:

4³=4*4*4 is a required expanded form.

3 0

3 years ago

Read 2 more answers