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2 years ago

Find the surface area of the two following figures. Show all your work.

Mathematics

1 answer:

Misha Larkins [42]2 years ago

7 0

Answer:

First shape: 366 in^2

Second shape: 376 in^2

Pretty sure these are correct, hope this helps!

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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

Find ac. also find ab.

e-lub [12.9K]

Answer:

Just need points well I wish I was that smart

7 0

3 years ago

Emily is adding 51 and 29 which steps can she use to add the numbers

frutty [35]

Answer:

51 + 29+ 80

Step-by-step explanation:

she got this by adding 51 + 29

7 0

3 years ago

Beth has 30 days to train for the Olympics. She swims 20 laps on the first day, then each day after that she swims two more laps

hjlf

Wait, what’s the question?

7 0

3 years ago

Somebody plz help me with this

Leviafan [203]

Answer M=-2
Because when it’s negative it’s going from left to right and when it is to that means 2 up 1 to the right

6 0

2 years ago