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4 years ago

If a pyramid has a height of 10 in. and a base with an area of 90 in² , what is the volume of the pyramid?

Mathematics

1 answer:

harkovskaia [24]4 years ago

3 0

Answer:

300 in³

Step-by-step explanation:

By definition, volume of a pyramid,

= (Base Area x height ) / 3

= (90 x 10) / 3

= 900/3

= 300 in³

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What are the domain and range of each relation? Drag the answer into the box to match each relation. A mapping diagram. Element

ra1l [238]

Answer:

Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}

Step-by-step explanation:

We have been given a mapping diagram as shown below:

X Y

-2 -4

-1 -2

0 2

For better view, you can check the attached mapping diagram.

From that diagram we have to find domain and range.

Domain contains only x values so domain will be:

Domain: {-2,-1,0,2}

Range contains only y values so range will be:

Range: {-4,-2,2}

We see that only third choice matches obtained values of domain and range.

Hence final answer is Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}

7 0

3 years ago

If one side of a right triangle is 12 feet long and the hypotenuse of the triangle is 7, find the length of the other side of th

Andreas93 [3]

Answer:

9.74 feet

Step-by-step explanation:

the formula for finding a hypotenuse is $a^{2} + b^{2} = c^{2}$ . We can rearrange that to get: $c^2 - b^2 = a^2$ . So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.

8 0

4 years ago

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me

Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

$\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286$

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is $P(X = 2)$ . So:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073$

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0

3 years ago

Jeremy used 11 gallons and 3 quarts of water to water his garden. How many quarts of water did Jeremy use?

Anon25 [30]

Answer:

Step-by-step explanation:

since each gallon is 4 quarts you would multiply by 11. 44 quarts then add 3 extra quarts to get 47

6 0

3 years ago

Pls help me i need help

Llana [10]

Answer:

3x was subtracted from the left side, but 3x was subtracted from the right side. The Subtract Property of Equality states that you can subtract the same number from each side and the equation will remain true. But 3x and 3 are not the same number (unless x is 1).

x = -8/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.