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2 years ago

12

Find the Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. Round to the nea

rest tenths place.

1 answer:

schepotkina [342]2 years ago

4 0

The area is 140 units.
The semicircle on the right side can be moved to fill in the missing semicircle to make it a regular rectangle.
Meaning 14 (10) would give the correct answer.

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Subtract the following decimals<br> 1. 19.87 - 8.54<br> 2. 7.93 - 2.03<br> 3. 96.6 - 88.5

Lina20 [59]

Answer:

the answer is

1. 11.33

2. 5.9

3. 8.1

7 0

3 years ago

What is the value of Y????

yawa3891 [41]

Answer: The value of y=9.

6 0

3 years ago

When the author visited Dublin, Ireland (home of Guinness Brewery employee William Gosset, who first developed the t distributio

disa [49]

Answer:

The Decision Rule

Fail to reject the null hypothesis

The conclusion

There is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

Step-by-step explanation:

From the question we are told that

The data is

Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 1 6 1 8

Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4

The level of significance $\alpha = 0.05$

Generally the null hypothesis is $H_o : \mu_1 - \mu_2 = 0$

the alternative hypothesis is $H_a : \mu_1 - \mu_2 > 0$

Generally the sample mean for the age of cars is mathematically represented as

$\= x_1 = \frac{\sum x_i }{n}$

=> $\= x_1 = \frac{4+ 0+ 8 +11 + \cdots + 8
}{27}$

=> $\= x_1 = 5.56$

Generally the standard deviation of age of cars

$\sigma _1 = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }$

=> $\sigma _1 = \sqrt{\frac{(4 - 5.56)^2 + (0 - 5.56)^2+ (8 - 5.56)^2 + \cdots + 8}{ 27} }$

=> $\sigma _1 = 3.88$

Generally the sample mean for the age of taxi is mathematically represented as

$\= x_2 = \frac{\sum x_i }{n}$

=> $\= x_2 = \frac{8 +8 +0 + \cdots + 4
}{20}$

=> $\= x_2 = 5.85$

Generally the standard deviation of age of taxi

$\sigma _2 = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }$

=> $\sigma _2 = \sqrt{\frac{(8 - 5.85)^2 + (8 - 5.85)^2+ (0 - 5.85)^2 + \cdots + 8}{ 20} }$

=> $\sigma _2 = 2.83$

Generally the test statistics is mathematically represented as

$t = \frac{(\= x_ 1 - \= x_2 ) - 0}{\sqrt{\frac{\sigma^2_1}{n_1} + \frac{\sigma^2_2}{n_2} } }$

=> $t = \frac{(5.56 - 5.85 ) - 0}{\sqrt{\frac{(3.88)^2}{27} + \frac{(2.83)}{20} }}$

=> $t = -0.30$

Generally the degree of freedom is mathematically represented as

$df = n_1 + n_2 -2$

$df = 27 + 20 -2$

$df = 45$

From the t distribution table the $P(t > t )$ at the obtained degree of freedom = 45 is

$P(t > -0.30 ) = 0.61722067$

So the p-value is

$p-value = P(t > T) = 0.61722067$

From the obtained values we see that the p-value > $\alpha$ hence we fail to reject the null hypothesis

Hence the there is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

5 0

3 years ago

Bella went to a carnival and played a game that involved throwing a basketball into a moving basket. She had two minutes to make

GalinKa [24]

Answer:

6

Step-by-step explanation:

12*2=24 24/4=6

8 0

3 years ago

If the sum of a number and one is doubled, the result is four less than the number. Find the number

TEA [102]

Answer:

-6

Step-by-step explanation:

Let the number be 'x'

Sum of a number and one = x + 1

Sum of a number and one is doubled = 2*(x +1) = 2*x + 2*1 = 2x + 2

Four less than the number = x - 4

2x + 2 = x - 4

Subtract 'x' from both sides

2x - x + 2 = x - x - 4

x + 2 = -4

No, subtract 2 form both sides

x + 2 -2 = - 4 - 2

x = -6

5 0

3 years ago