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mr Goodwill [35]
2 years ago
5

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
2 answers:
Andrej [43]2 years ago
5 0

Answer:

13.7 ft^2

Step-by-step explanation:

1. Find the radius of the semicircle by dividing the diameter by 2 to get 1.8

2. Find the area of the semicircle.  Do this by substituting the equation to find the area of a semicircle with the numbers given and solving.  3.14(1.8^2)/2 = 5.0868

3. Find the area of the triangle.  Do this by substituting the equation to find the area of a semicircle with the numbers given and solving.  1/2(3.6*4.8) = 8.64

4.  Add both your numbers together to get 13.7268

5. Round to the nearest 10th to get 13.7 ft^2

Tju [1.3M]2 years ago
3 0

Answer:

13 feet squared

Step-by-step explanation:

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Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is 13.4 years with a s
Aliun [14]

Answer : 0.0129

Step-by-step explanation:

Given : Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is \mu=13.4 years and standard deviation is \sigma=1.7 years.

Sample size : n=40

Let X be the random variable that represents the age of fleets.

We assume that the ages of the fleets of the 10 largest U.S. commercial passenger carriers are normally distributed.

For z-score,

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x=14

z=\dfrac{14-13.4}{\dfrac{1.7}{\sqrt{40}}}\approx2.23

By using the standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be :-

P(x\geq 14)=P(z\geq2.23)\\\\=1-P(z

Hence, the required probability = 0.0129

6 0
3 years ago
Alicia drew the figure below on a coordinate plane.<br><br> What is the area of the figure?
Ivahew [28]

Answer:

72

Step-by-step explanation:

you multiply the length and the width

8 0
3 years ago
Complete the comparison: 26 &lt; ? A. 25 B. 54 C. 13 D. 26
Nookie1986 [14]
The answer for that one is B, because 26<54
meaning 26 is less than 54 which is true 
6 0
3 years ago
Read 2 more answers
A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decre
Dmitry [639]

Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is <u>less than the standard significance level of 0.05</u>, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is <u>tested if the consumption is not different</u>, that is, if the subtraction of the means is 0, hence:

H_0: \mu_1 - \mu_2 = 0

At the alternative hypothesis, it is <u>tested if the consumption is different</u>, that is, if the subtraction of the means is not 0, hence:

H_1: \mu_1 - \mu_2 \neq 0

Two groups of 22 patients, hence, the standard errors are:

s_1 = \frac{45.1}{\sqrt{22}} = 9.6154

s_2 = \frac{26.4}{\sqrt{22}} = 5.6285

The distribution of the differences is has:

\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25

s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14

The test statistic is given by:

t = \frac{\overline{x} - \mu}{s}

In which \mu = 0 is the value tested at the null hypothesis.

Hence:

t = \frac{25 - 0}{11.14}

t = 2.2438

The p-value of the test is found using a <u>two-tailed test</u>, as we are testing if the mean is different of a value, with <u>t = 2.2438</u> and 22 + 22 - 2 = <u>42 df.</u>

  • Using a t-distribution calculator, this p-value is of 0.0302.

Since the p-value of the test is of 0.0302, which is <u>less than the standard significance level of 0.05</u>, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

A similar problem is given at brainly.com/question/25600813

4 0
3 years ago
Please, please HELP!!!
Rashid [163]

Answer:

circumference: 37.7

area: 113.1

Step-by-step explanation:

for the future look up '___ of a circle'

and enter the radius (if u are given the diameter divide it by 2)

4 0
3 years ago
Read 2 more answers
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