All categories

2 years ago

At Mario's Pizza, a large pizza has a diameter of 18 inches. What is the area of two pizzas?

1 answer:

4 0

First, the area of the pizza then double it.

Area for a circle: Area = $\pi$ * r^2

Plug in the values.

We will use 3.14 for $\pi$ .

We need the radius. So half the diameter to get the radius.

18 / 2 = 9

Area = 3.14 * 9^2
Area = 3.14 * 81
Area = 254.34

Then multiply 2 to get the double the area.

254.34 * 2 = 508.68

So, the answer to this question is D. 508.68 in. 2.

You might be interested in

Sally's Stuffed Animal Company charges $0.75 per pound to ship stuffed animals. Part A: Write an equation to determine the total

zalisa [80]

Hope this helps but I think it might be:
Part A: c=0.75p
the cost of shipping for 2 pounds
c=0.75p
c=0.75*2
c=$1.50
Part B: c=0.05p

6 0

2 years ago

Michaela pays her cell phone service provider $49.95 per month for 500 minutes. any additional minutes used cost $0.15 each. in

lilavasa [31]

75 extra minutes because $61.20-$49.95=$11.25 and $11.25/$0.15=75.

7 0

2 years ago

Read 2 more answers

A probability calculator is required on this problem; answer to six decimal places. Suppose we will spin the wheel pictured 400

KiRa [710]

Answer:

$P(90< X< 110)= P(\frac{90-80}{8}$

And we can find this probability with this difference:

$P(90< X< 110)=P(z$

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=400, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=400*0.2=80 \geq 10$

$n(1-p)=400*(1-0.2)=320 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=400*0.2=80$

$\sigma=\sqrt{np(1-p)}=\sqrt{400*0.2(1-0.2)}=8$

So then we can approximate the random variable as $X \sim N(\mu = 80, \sigma = 8)$

And we want this probability:

$P(90< X< 110)$

We can use the z score formula given by:

$z = \frac{x -\mu}{\sigma}$

And replacing we got:

$P(90< X< 110)= P(\frac{90-80}{8}$

And we can find this probability with this difference:

$P(90< X< 110)=P(z$

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

8 0

2 years ago

A game has 15 balls for each of the letters B, I, N, G, and O. The table shows the results of drawing balls 1,250 times.

Mariana [72]

Theoretically, each letter should have the same probability of occurring since there are 15 of each. There are 5 letters that can be drawn, so there is a total of 75 balls, and each letter has a probability $\dfrac{15}{75}=\dfrac15$ of being drawn.

This means one would expect a theoretical frequency of $\dfrac{1250}5=250$ , i.e. any given letter should get drawn 250 times, which means the answer is D.

4 0

2 years ago

Paul needs to find 310% of 72. Which expression should he use

Nataliya [291]

Answer:

3.10 * 72

Step-by-step explanation:

To find 310% of 72

Of means multiply and is means equal

310% * 72 = answer

Change to decimal form

3.10 * 72 = answer

223.20

3 0

2 years ago