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Svetllana [295]
3 years ago
12

The dimensions of a trapezoid are shown below. Which equation could you use to find the Area of the Trapezoid?

Mathematics
1 answer:
Contact [7]3 years ago
7 0

Answer:

See Explanation

Step-by-step explanation:

No trapezoid is attached; so, I will solve on a general note

The area of a trapezoid is:

Area = \frac{1}{2}(Sum\ of\ parallel\ sides) * Height

Using the attached image as a point of reference;

The parallel sides are: AD (6cm) and BD (12cm)

The height is 4cm

So, the area is:

Area = \frac{1}{2} * (6cm + 12cm) * 4cm

Area = 18cm * 2cm

Area = 36cm^2

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The Red Sox have won 3 World Series titles in the last 11 years. At this rate, how long will it take them to win 20 World Series
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The answer is 74 years. do 11/3=3.67. Then 3.67x20 =73.4 and since that .4 is not a full year you would have to round up to 74
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Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your con
Ket [755]

Answer:

Step-by-step explanation:

Given that:

H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }

Z = \dfrac{-1}{\dfrac{5.3}{6} }

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

b

For x = 53 and s = 4.6

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }

Z = \dfrac{-2}{\dfrac{4.6}{6} }

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

Conclusion: \  There  \ is \  sufficient \  evidence  \  to \  conclude \  that \mu < 55

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

6 0
3 years ago
Jane Andre and Maria pick apples Andre pics three times as many pounds as Maria Jane pics to charge as many pounds as Andre the
Marta_Voda [28]
840 ÷ 3 = 280 

Andre picked 280 pounds of apples. 

Hope this helps and have a great day! :D 
7 0
3 years ago
Write a compound inequality to represent all of the numbers between -4 and 6.
OlgaM077 [116]
-4<x<6
should be the correct answer because x is larger than -4 but 6 is larger than x.
you could also write it
-4<x AND x<6
6 0
3 years ago
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