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user100 [1]
4 years ago
8

A research organization wanted to estimate the average number of hours a college student sleeps per night during the school year

. After randomly sampling 150 college​ students, the research organization determined the following​ 95% confidence​ interval: (7.1,7.5)​ hours/night. What is the value of the average number of hours slept per night during the school year for these 150 college​ students?
Mathematics
1 answer:
Alekssandra [29.7K]4 years ago
4 0

Answer:

Step-by-step explanation:

Given given that

  • Lower confidence interval = 7.1
  • Upper confidence interval = 7.5
  • As such, We are 95% confident that it's somewhere between 7.1 and 7.5 hours per night

Average value = LCI + UCI /2 = 7.1 + 7.5 / 2

= 7.3hours per night, so we are 95% confident that it's somewhere between 7.1 and 7.5 hours per night which is eventually 7.3hrs per night.

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find the volume of a cylinder with a base area of 25 pi in^2 And height equal to the radius. Give your answer both in terms of p
telo118 [61]
The base of the cylinder is a circle in which the area is calculated through the equation,
                                     A = πr²
We are given that area is 25π in². From this and the equation above, the value of r is equal to 5 in. Using this calculated value as the height, the volume of the cylinder is,
                                  V = Bh
where B is area of the base and h is height. 
                                V = (25π in²)(5 in) = 125π in³ 
 or also equal to, 
                               V = 392.7 in
7 0
3 years ago
Given F = 9 5 C + 32, the conversion formula for Fahrenheit to Celsius, solve for C.
Oksanka [162]
Since you are not given any values to plug in, solving for c simple means to isolate c. First, you would subtract 32 from both sides to get F-32=9/5C. Then, you would multiply both sides by 5/9 in order to get 5/9(F-32)=C or 5/9F-160/9=C.

Hope this helps.
4 0
4 years ago
Read 2 more answers
The figure is a parallelogram Solve for x.
polet [3.4K]

Answer:

The value of x is 11.

Explanation:

The opposite sides of a parallelogram being equal, GD will be equal to 17. Equating, the value '11' is obtained.

7 0
3 years ago
Triangle ABC has a right angle at C. Select all measurements which would mean it has a hypotenuse with a length of 10 units. a.
Delvig [45]

Option d: Angle A is 30 degrees, BC is 5 units

Option e: AC is 8 units, BC is 6 units

Explanation:

The triangle ABC has a right angle at C.

The length of the hypotenuse is 10 units.

The image of the triangle with this measurement is attached below:

Option a: Angle A is 20 degrees, BC is 2 units

\begin{aligned}\sin 20 &=\frac{2}{h y p} \\h y p &=\frac{2}{\sin 20} \\&=5.8476\end{aligned}

Since, hypotenuse is 10 units, Option a is not correct answer.

Option b: AC is 7 units, BC is 3 units

\begin{aligned}A B &=\sqrt{7^{2}+3^{2}} \\&=\sqrt{49+9} \\&=\sqrt{58}\end{aligned}

Since, hypotenuse is 10 units, Option b is not correct answer.

Option c: Angle B is 50 degrees, BC is 4 units

\begin{aligned}\cos 50 &=\frac{4}{h y p} \\h y p &=\frac{4}{\cos 50} \\&=6.222\end{aligned}

Since, hypotenuse is 10 units, Option c is not correct answer.

Option d: Angle A is 30 degrees, BC is 5 units

\begin{aligned}\sin 30 &=\frac{5}{h y p} \\h y p &=\frac{5}{\sin 30} \\&=10\end{aligned}

Since, hypotenuse is 10 units, Option d is the correct answer.

Option e: AC is 8 units, BC is 6 units

\begin{aligned}A B &=\sqrt{8^{2}+6^{2}} \\&=\sqrt{64+36} \\&=\sqrt{100} \\&=10\end{aligned}

Since, hypotenuse is 10 units, Option e is the correct answer.

Thus, Option d and e are the correct answers.

3 0
3 years ago
Which number can be multiplied to a rational number to explain that the product of a rational number and an irrational number is
liraira [26]

Answer:

What are the answer choices?

Step-by-step explanation:

6 0
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