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guapka [62]
2 years ago
11

There are many cones with a height of 12 inches. Let r represent the radius and V represent the volume of these cones.

Mathematics
2 answers:
jenyasd209 [6]2 years ago
8 0
The short answer is just
V=3.14 r squared and 12/3
AlekseyPX2 years ago
5 0

Answer:

V= 3.14 r^2 12/3

Hope this equation helps!

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Jessica and Josh are selling Entertainment Books to raise money for the art room at their school. One book sells for $15. Jessic
melisa1 [442]
<h2><u>Answer</u><u>:</u><u>-</u></h2>

Jessica sells = 240 books,

Josh sells = 16 books.

<h3>Given:-</h3>

The price of one book is = $15

Jessica sold 15 times more books than Josh.

In total, they have sold 256 books.

<h3>Solution:-</h3>

We can easily find the answer using variables.

Let,

Josh sold a total of x books whereas Jessica sold a total number of 15x books.

together they sold 16x books.

So we can form the equation

16x= 256

by solving this equation we will get x=16

So, Josh sold 16 books and Jessica sold 16×15=240 books in total.

5 0
2 years ago
Read 2 more answers
The mean weight of an adult is 69 kilograms with a variance of 121. If 31 adults are randomly selected, what is the probability
amid [387]

Answer:

0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Also, important to remember that the standard deviation is the square root of the variance.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 69, \sigma = \sqrt{121} = 11, n = 31, s = \frac{11}{\sqrt{31}} = 1.97565

What is the probability that the sample mean would be greater than 70.5 kilograms?

This is 1 subtracted by the pvalue of Z when X = 70.5. So

Z = \frac{X - \mu}{\sigma}

By the Central limit theorem

Z = \frac{X - \mu}{s}

Z = \frac{70.5 - 69}{1.97565}

Z = 0.76

Z = 0.76 has a pvalue of 0.7764

1 - 0.7764 = 0.2236

0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.

8 0
3 years ago
Dee Dee bought an Apple for $0. 85, a sandwich for $4. 50, and a bottle of water for $1. 50. How much did Dee Dee spend?
OLga [1]

To figure out how much she spent all we have to do is add up $0.85, $4.50 and $1.50

$0.85 + $4.50 + $1.50 = $6.85

Therefore she spent $6.85

Hope this helps

8 0
2 years ago
Read 2 more answers
13. One kilogram is equal to 1,000 grams.
Ilya [14]

Answer:

I'm pretty sure it's 0.257!

Step-by-step explanation:

Sorry if I got it wrong I'm trying my best hope you have a great day!!

6 0
3 years ago
Read 2 more answers
-x^(2)-12=-87<br><br> Please explain your answer, and how I make the x positive
spayn [35]
Solve for x over the real numbers:
-x^2 - 12 = -87
Add 12 to both sides:
-x^2 = -75
Multiply both sides by -1:
x^2 = 75
Take the square root of both sides:
Answer:  x = 5 sqrt(3) or x = -5 sqrt(3)  both Answers are correct
7 0
3 years ago
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