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2 years ago

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The formula for the volume of a cylinder is Y = gr). Solve y = grn for h, the height of the cylinder. O A. = O B. has Yr2 OC. h

- TV O D. h =
PLEASE HELP ASAPPPPPPPPPPPPP

1 answer:

gregori [183]2 years ago

4 0

Since we have to solve the given formula for h(height) so, the correct option is (a)

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Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 squar

Tema [17]

This question is not complete

Complete Question

Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet. Which statement about the amount of tiles is correct?

a) Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.

b) Kerrie estimated correctly by rounding up. She has enough tile. The exact area is 104.5 square feet.

c) Kerrie did not estimate correctly by rounding up. She does not have enough tile. The exact area is 104.5 square feet.

d) Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.

Answer:

a) Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.

Step-by-step explanation:

In mathematics we have what is defined as rounding up and rounding down.

Rounding up of numbers is when the number you want to round up is followed by number from 5 to 9(5, 6, 7, 8, 9)

E.g. 2.5 rounded up to the nearest whole number = 3

Rounding down of numbers is when the number you want to round up is followed by number from 1 to 4(1, 2, 3, 4)

E.g. 2.4 rounded down = 2

We are told in the question

Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet.

Kitchen floor is rectangular = Area = Length × Width

= 11.3 × 9.25 feet

= 104.525 square feet

We are told that Kerrie ordered for 99 square tiles.

But looking at the decimal, the number after the decimal are between 1 and 4.

Hence, she would be rounding down.

If Kerrie rounds down to the nearest whole number

11.3 feet = 11 feet

9.25 feet = 9 feet

Finding the area = 11 feet × 9 feet

= 99 square feet

Therefore, the correct statement = option a) Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.

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2 years ago

A simple die is thrown 100 times and the number five appears 14 times. Find the experimental probability of throwing a five, giv

mario62 [17]

Answer:

The experimental probability of throwing a five is 0.087.

Step-by-step explanation:

Given:

Number of trials (n) = 100

Number of times 5 appears (x) = 14

Let the event of occurrence of 5 be success and the probability represented by 'p'. So, all the other numbers occurrence is failure and its probability is represented as 'q'.

Probability of success is given as:

$p=\frac{Number\ of\ favorable\ events}{Total\ number\ of\ outcomes}$

Favorable event is occurrence of 5. So, its number is 1 as there is only one 5 in the die. Total outcomes are 6 as there are six numbers. So,

$p=\frac{1}{6}$

Now, probability of failure is given by the formula:

$q=1-p=1-\frac{1}{6}=\frac{5}{6}$

Now in order to find the experimental probability of 14 successes out of 100 trials, we apply Bernoulli's theorem which is given as:

$P(x) = ^nC_xp^xq^{n-x}$

Plug in all the given values and find the probability of 14 successes. This gives,

$P(x=14)=^{100}C_{14}(\frac{1}{6})^{14}(\frac{5}{6})^{100-14}\\\\P(x=14)=0.087$

Therefore, the experimental probability of throwing a five is 0.087.

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