What is the answer to |4r−12| , if r<3?

Explain that you found the volume of water in the fish tank if it was only one and a half full with water show your work and sol

Reptile [31]

Answer:

The volume of water in the fish tank is 4.5 cubic feet

see the explanation

Step-by-step explanation:

The complete question is

Explain how you found the volume of water in the fish tank if it was only 1/2 full with water. Show your work and solution. Don't forget your UNITS!

You have a fish tank with the following dimensions:

Height: 3 feet

Width: 1.5 feet

Length: 2 feet

step 1

Find the volume of the fish tank

The volume of a rectangular prism ( fish tank) is equal to

$V=LWH$

substitute the given values

$V=(2)(1.5)(3)=9\ ft^3$

step 2

Find the volume of water in the fish tank

Remember that

The fish tank it was only one and a half full with water

so

Multiply the volume of the fish tank by one and a half to obtain the volume of water

$\frac{1}{2}(9)=4.5\ ft^3$

8 0

3 years ago

A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation

Rzqust [24]

Answer: 0.6065

Step-by-step explanation:

Given : The machine's output is normally distributed with

$\mu=27\text{ ounces per cup}$

$\sigma=3\text{ ounces per cup}$

Let x be the random variable that represents the output of machine .

z-score : $z=\dfrac{x-\mu}{\sigma}$

For x= 21 ounces

$z=\dfrac{21-27}{3}\approx-2$

For x= 28 ounces

$z=\dfrac{28-27}{3}\approx0.33$

Using the standard normal distribution table , we have

The p-value : $P(21$

$P(z$

Hence, the probability of filling a cup between 21 and 28 ounces= 0.6065

8 0

3 years ago

A rocking horse has a weight limit of 60pounds. What percentage of the weight limit is 33 pounds? What percentage of the weight

bixtya [17]

Answer:

The percentage is 55% when weight limit is 33 pounds.

The percentage is 190% when weight limit is 114 pounds.

The 95% of the limit weighs 57 pounds.

Step-by-step explanation:

Given:

Weight limit of rocking horse = 60 pounds.

We need to find:

a) What percentage of the weight limit is 33 pounds.

b)What percentage of the weight limit is 114 pounds.

c) What weight is 95% of the limit.

Now Solving for a we get;

Weight limit = 33 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{33}{60}\times100 = 55\%$

Hence The percentage is 55% when weight limit is 33 pounds.

Now Solving for b we get;

Weight limit = 114 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{114}{60}\times100 = 190\%$

Hence The percentage is 190% when weight limit is 114 pounds.

Now Solving for c we get;

Percentage Weight = 95%

Now Amount of weight limit can be calculated by multiplying Percentage weight limit with total weight limit and then Dividing by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{95}{100}\times60 = 57 \pounds$

Hence The 95% of the limit weighs 57 pounds.

4 0

4 years ago

-3x + b = 6x, solve for x

natta225 [31]

Answer:

5.

Step-by-step explanation:

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3 years ago

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irakobra [83]

Answer:

87 scorpions do not live in Arizona

Step-by-step explanation:

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4 years ago

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