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3 years ago

Find the missing dimension of the cylinder round your answer to the nearest tenth volume = 592ft ³

Mathematics

1 answer:

valina [46]3 years ago

8 0

Answer:

10ft

Step-by-step explanation:

volume= 502 ft³

or, πr²h= 502ft³

or, h= 502/(π×4²)

or, h= 9.98~10

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A container holds 4 gallons of lemonade. A large lemonade contains 16 ounces. How many large lemonades could a restaurant sell b

Sergio [31]

Answer:

32 large lemonades

Step-by-step explanation:

4 gallons = 512 ounces

512 ounces / 16 ounces

= 32 large lemonades.

6 0

2 years ago

Liza y Abby planean extender sus mantas en un parque para un picnic con sus amigos. El parque está lleno de gente, así que extie

Margarita [4]

Answer:

Step-by-step explanation:

The question in English is basically find the area of the pink and blue area shown. The image is attached. This is Liza and Abby's blanket spread and we want the area of the whole shown.

Solution:

We want area of pink rectangle PLUS the blue region, which is a sum of lower rectangle and top triangle (if we cut it in this way).

First, area of pink rectangle:

Area = length * height

Area = 5 * 5.7

Area = 28.5

Now, the blue region, if broken down, lower portion is rectangle and upper portion is a triangle (we DISREGARD the overlapping region, of course!)

Lower Rectangle Area = length * height = 4 * 2 = 8

Upper triangle Area = 0.5 * base * height = 0.5 (4) * (6-2) = 0.5 * 4 * 4 = 8

So, blue region area = 8 + 8 = 16

Total Area = 28.5 + 16 = 44.5 sq. ft.

5 0

4 years ago

A gardener is planting two types of trees:

Nikitich [7]

9 + 13x = 6 + 19x since x is same variable (year)
9 - 6x = 6
-6x = -3
x = 1/2 yr or 6 months

3 0

4 years ago

Suppose that a wall is constructed from concrete blocks where a block is a normal random variable with mean 11 kg and standard d

Artemon [7]

Answer:

The value for k is about k = 11.093kg.

Step-by-step explanation:

To answer this question, that is, P(x<k) = 0.85, we can use the standardized value for a raw score, or the formula for obtaining z-scores:

$\\ z = \frac{x - \mu}{\sigma}$ [1]

Where

$\\ x$ is the raw score.

$\\ \mu$ is the population mean.

$\\ \sigma$ is the population standard deviation.

In this case, we are asking to find a value x = k, so that 85% of the blocks have weights less than k (kg).

We have also to use the values for the cumulative standard normal distribution with $\\ \mu = 0$ and $\\ \sigma = 1$ to find the value of z that corresponds to a probability of 0.85.

First step: find the z that corresponds to the probability of 0.85.

To use the formula [1], as we previously mentioned, we first need to find the value of z that corresponds to a probability of 0.85 using the cumulative standard normal distribution table (available in any Statistics books or on the Internet). Then, for a cumulative probability of 0.85, the corresponding value for z = 1.03 (approximately).

Second step: solve the formula [1] for x.

Solving this formula for x, we have:

$\\ z = 1.03$