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3 years ago

Find the volume of a cylinder with a diameter of 8 inches and a height that is three times radius

Mathematics

2 answers:

ollegr [7]3 years ago

6 0

Answer:

96π^2 = 947.48

Step-by-step explanation:

π × r² × h

8π times 3*4*π

Gnesinka [82]3 years ago

4 0

Answer: 603 cubic inches

Step-by-step explanation:

Let's find radius (r):

Diameter is double the radius, so the radius is 4 inches.

Let's find the height (h):

Height is 3 times the radius so the height is 12 inches.

Now let's find the volume:

V = πr^2 × h

V = π × 16 × 12

V = 603 cubic inches

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The student body President of a high school claims to know the names of at least 1000 of the 1800 students at the school. To tes

hoa [83]

Answer:

The 99% confidence interval for p in this case is (0.3317, 0.5883).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.

This means that:

$n = 100, \pi = \frac{46}{100} = 0.46$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 - 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.3317$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 + 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.5883$

The 99% confidence interval for p in this case is (0.3317, 0.5883).

4 0

3 years ago

I need this done asap im really stressed right now

sveticcg [70]

Answer:

y(y-2)(y+10)

Step-by-step explanation:

when factoring you work with similar concepts and get rid of what you can to make the equation simipler and get your answer like you take a y out of the equation to get y^2 and then reduce and then solve by grouping.

3 0

3 years ago

Why are (1,2) and(2,1) not equal ordered pair?

vladimir1956 [14]

Answer:

The pairs ( 1 , 2 ) and ( 2 , 1 ) are not equal because their respective elements are not equal.

Step-by-step explanation:

The pair of elements which are in specific order is called an ordered pair. The pair ( 1 , 2 ) is not same as the pair ( 2 , 1 ). In the pair ( 1 , 2 ) 1 is in the first position and 2 is in the second position. In the pair ( 2 , 1 ), 2 is in the first position and 1 is in the second position.

Two ordered pairs ( a , b ) and (c , d ) are said to be equal if a = c and b = d. We write ( a , b ) = ( c , d ).

Hope I helped!

Best regards!!

8 0

3 years ago

4.8a - 6.3b - 2.1a + 7b

ololo11 [35]

First, you combine like terms. I would start by circling the term and the sign in front of it. (A term is a piece separated by an addition/subtraction sign.) You can only combine terms with the same variable. 4.8a-2.1a-6.3b+7b is the same as your equation, just rearranged. Then, subtract (4.8a-2.1a) which is 2.7a. Add (-6.3b to 7b) The answer is 0.7b. If you have any questions, you can message me!

5 0

3 years ago

Read 2 more answers

Mary said that the temperature outside on two differnt days had an absolute value 20. Kate said she was wrong because the temper

TiliK225 [7]

Answer:

Mary is correct we don’t know the temperature but it can be implied that one is 20 and the other is -20 because of absolute value which is the distance a number away from zero that means that you have two answers or two days in this case that both have an absolute value of 20

Step-by-step explanation:

5 0

3 years ago