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Lorico [155]
3 years ago
9

Find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).​

Mathematics
2 answers:
alekssr [168]3 years ago
7 0

Answer:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

gtnhenbr [62]3 years ago
3 0

Answer:

97.27 yd²

Step-by-step explanation:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

Area of triangle=15 yd²

Find area of the middle rectangle. So multiply the length by the width.

9x6=54

Area of rectangle=54 yd²

Find area of the half circle. Formula for area of circle is A=\pi r^{2}. Pi is about 3.14, and radius (r) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.

\pix3^{2}≈28.27

Area of circle is about 28.27 yd²

Add up the three areas.

15+54+28.27=97.27

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The local public transport authority is conducting research into commuter behaviour. A previous census indicated that the mean c
kondor19780726 [428]

Answer:

H_0:\mu  = 45 and H_a:\mu  < 45

T = 34.88

The null hypothesis is not rejected

Step-by-step explanation:

Given

Random sample of 50 commuter times

Solving (a): The null and alternate hypothesis

From the question, a previous census shows that:

\mu =45 and \sigma= 9.1

This is the null hypothesis i.e.

H_0:\mu  = 45

Reading further, a new test was to show whether the average has decreased.

This is the alternate hypothesis, and it is represented as:

H_a:\mu  < 45

Solving (b) and (c): The test statistic (T).

This is calculated using:

T = \frac{\mu}{\sigma/\sqrt n}

In this case:

n = 50   \mu =45 and \sigma= 9.1

So:

T = \frac{45}{9.1/\sqrt{50}}

T = \frac{45}{9.1/7.07}

T = \frac{45}{1.29}

T = 34.88

Solving (c): Accept or reject null hypothesis

\alpha = 0.05

First calculate the degrees of freedom (df)

df = n - 1 = 50 - 1

d f = 49

From the t distribution table,

At: d f = 49,  \alpha = 0.05 and T = 34.88

the t score is:

p = 1.676

p > 0.05

<em>So, the null hypothesis is not rejected</em>

7 0
3 years ago
Does anyone know how to do this?
Tom [10]

Answer:

look below but sorry that i dont know part b

Step-by-step explanation:

y = 5/2x-3

slope=5/2 y-int = -3

y=x-9

slope=1/1 y-int=-9

y=5x

slope= 5/1 y int=0

y=-1/2x +5

slope=-1/2 y-int= 5

plzzzz plzplz mark me brainliest thank you!!!!!!!!!!!!

5 0
3 years ago
A piece of tile is 4 1/2 inches long and 3 1/4 inches wide. What is the area of the tile? A. 7 3/4 square inches B. 12 square in
mario62 [17]
First change the 4\frac{1}{2} to 4\frac{2}{4} .
Then multiply 4\frac{2}{4} and 3\frac{1}{4}
The answer would be D) or 14\frac{5}{8} in².
8 0
4 years ago
Identify the center<br> (x + 9)^2+ y^2= 64
Mashcka [7]
Your Center is : (-9,0).
8 0
3 years ago
Read 2 more answers
Find the area of the trapezoidal prism?
Olenka [21]

Answer: The formula is (b1 + b2)h+PH

Step-by-step explanation:

4 0
3 years ago
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