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3 years ago

Which points are distance of 5 units from the x-axis

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

6 0

I think x and c because their y coordinate is 5

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A random sample of 36 students at a community college showed an average age of 25 years. Assume the ages of all students at the

Pavel [41]

Answer:

98% confidence interval for the average age of all students is [24.302 , 25.698]

Step-by-step explanation:

We are given that a random sample of 36 students at a community college showed an average age of 25 years.

Also, assuming that the ages of all students at the college are normally distributed with a standard deviation of 1.8 years.

So, the pivotal quantity for 98% confidence interval for the average age is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average age = 25 years

$\sigma$ = population standard deviation = 1.8 years

n = sample of students = 36

$\mu$ = population average age

So, 98% confidence interval for the average age, $\mu$ is ;

P(-2.3263 < N(0,1) < 2.3263) = 0.98

P(-2.3263 < $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ < 2.3263) = 0.98

P( $-2.3263 \times {\frac{\sigma}{\sqrt{n} }$ < ${\bar X - \mu}$ < $2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ) = 0.98

P( $\bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} }$ < $\mu$ < $\bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} }$ , $\bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ]

= [ $25 - 2.3263 \times {\frac{1.8}{\sqrt{36} }$ , $25 + 2.3263 \times {\frac{1.8}{\sqrt{36} }$ ]

= [24.302 , 25.698]

Therefore, 98% confidence interval for the average age of all students at this college is [24.302 , 25.698].

8 0

3 years ago

Which unit of measure is the most reasonable to measure the length from your house to the grocery store?

Anit [1.1K]

B. miles because its a longer distance with leads to a smaller number

4 0

3 years ago

The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenar

ahrayia [7]

The choices are A. r= 200 over w; r = 40 B. r = 200 over w; C. r = 1000
C. r = 2w; r = 10 D. r = 2w; r = 2.5. The situation implies that the number of roses is inversely proportional to the number of weeds. In this case, the answer is either a or b. Given 5 weeds,the one that fits is A. A. r= 200 over w; r = 40.

3 0

3 years ago

The spinner shown is

laiz [17]

Answer:

where is the spinner

Step-by-step explanation:

3 0

3 years ago

penguins spent almost 75% of their lives in the sea .An emperor penguin in the wild has a lifespan about 18 years . About how ma

11Alexandr11 [23.1K]

First of all, in Mathematics, OF usually represents multiplication. And % means over 100. Anyway, the question basically means 75/100 multiplied by the lifespan. According to the question, the lifespan is 18 years. So that will be;
75/100 x 18
1350/100
13.5
So your answer is 13.5 years. Hope i helped. Have a nice day.

5 0

3 years ago