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malfutka [58]
3 years ago
14

8. A cone shaped paper cup has a radius of 1.5 inches and a height of 3 inches. What is the volume of the cup?​

Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

Answer:

V=7.06\ \text{inches}^3

Step-by-step explanation:

Given hat,

The radius of cone shaped paper cup, r = 1.5 inches

The height of cone shaped paper cup, h = 3 inches

We need to find the volume of the cup. For a cone shaped, the volume is given by :

V=\dfrac{1}{3}\pi r^2 h

Putting all the values in the above formula.

V=\dfrac{1}{3}\pi \times (1.5)^2 \times 3\\\\V=7.06\ \text{inches}^3

So, the volume of the cup is 7.06\ \text{inches}^3.

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The annual rainfall in Frostbite Falls is normally distributed with mean
mariarad [96]

Using the normal distribution, it is found that there is a 0.0548 = 5.48% probability that, in a given year, the rainfall is over 40  inches.

Normal Probability Distribution

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

In this problem:

  • Mean of 32 inches, so \mu = 32.
  • Standard deviation of 5 inches, so \sigma = 5.

The probability that, in a given year, the rainfall is over 40  inches is <u>1 subtracted by the p-value of Z when X = 40</u>, so:

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

Z = \frac{40 - 32}{5}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

1 - 0.9452 = 0.0548.

0.0548 = 5.48% probability that, in a given year, the rainfall is over 40  inches.

A similar problem is given at brainly.com/question/24663213

8 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Nookie1986 [14]

Answer:

1. b. 8 3/5

2. b. 3

3. 29

Step-by-step explanation:

1. b. 8 3/5

90 3/10 divided by 10 1/2

= 8 3/5

2. b. 3

8r= 24

/8    /8

r= 3

3. 29

957/33

= 29

7 0
3 years ago
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allochka39001 [22]
You multiply the 2 values together and B is the correct answer
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3 years ago
130 is what percent of 70?
Mama L [17]

Answer:

91%

Step-by-step explanation:

hopes this helps

4 0
2 years ago
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