What is the area of the figure? Assume that all angles are right angles.

A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi

gayaneshka [121]

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is $\frac{4}{3}\pi r^{3}$ .

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get $\frac{4}{3} (3.14)(4^3)$ . The first step is to cube 4 (4*4*4) to get 64. Now your equation is $\frac{4}{3}(3.14)(64)$ .

Multiply 3.14 and 64 to get 200.96. The equation is now $\frac{4}{3}(200.96)$ or $\frac{4}{3} * \frac{200.96}{1}$ .

Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of $\frac{803.84}{3}$ .

Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.

8 0

3 years ago

The exponential probability distribution is a discrete distribution that is often used to describe time between customer arrival

n200080 [17]

Answer:

True

Step-by-step explanation:

The time between customer arrivals is called inter-arrival time. According to Queueing Notation, the inter-arrival time can be model based on difference probability distribution. The probability distribution by which the inter-arrival time can be modeled include:

Exponential Distribution or Markov distribution
Constant or Deterministic
Hyper - exponential
Arbitrary or General distribution

4 0

3 years ago

What is the surface area to volume ratio of a cube whose sides are 3 cm long

zavuch27 [327]

3ml is the correct answer becauss 1cm^3 is 1ml

7 0

3 years ago

What is the value of b(10) when b(x)=|3-x|+1 ?

vredina [299]

B(x) = |3-x|+1

b(10) means that we need to replace x by 10:
b(10) = |3-10|+1
As you can notice, 3-10 is between the lines of the absolute power. So if the answer is positive, you keep positive. If the answer is negative, you transform it to positive. |a| = a and |-a| = a. So |a|=|-a|.
So |3-10| = |-7| = |7| = 7.

b(10) = |3-10|+1 = 7 + 1 = 8.

So the value of b(10) when b(x)=|3-x|+1 is 8.

Hope this Helps! :)

7 0

3 years ago

Of great importance to residents of central Florida is the amount of radioactive material present in the soul of reclaimed phosp

alukav5142 [94]

Answer:

See figure attached and explanation below.

Step-by-step explanation:

For this case we have the following dataset given:

0.74, 0.32, 1.66, 3.59, 4.55, 6.47, 9.99, 0.7, 0.37, 0.76, 1.9, 1.77, 2.42, 1.09, 2.03, 2.69,2.41, 0.54, 8.32, 5.70, 0.75, 1.96, 3.36, 4.06, 12.48

And for this case we can use the followinf R code to create the frequency histogram.

> x<-c(0.74, 0.32, 1.66, 3.59, 4.55, 6.47, 9.99,0.7, 0.37, 0.76, 1.9, 1.77, 2.42, 1.09, 2.03, 2.69,2.41, 0.54, 8.32, 5.70, 0.75, 1.96, 3.36, 4.06,12.48)

> length(x)

[1] 25

> hist(x, prob=TRUE)

And for this case we have the histogram on the figure attached. For the number of classes we use the formula of sturges:

$k = 1 +3.322 log (n)= 1+3.3 log(25)= 5.61$

And for this case we have approximately 6 classes. And that's what we can see on the figure attached

As we can see most of the values are on the left so then we have a right skewed to the right and the distribution is assymetrical, with most of the values between 0 and 6

4 0

4 years ago