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Elenna [48]
3 years ago
6

Whats the volume of a cone? Lengths: 9cm, 5cm

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

Answer:

  B)  75π cm³

Step-by-step explanation:

The volume of a cone is given by the formula ...

  V = (1/3)πr²h

Your cone has r = 5 cm and h = 9 cm. Putting these values into the formula gives ...

  V = (1/3)π(5 cm)²(9 cm) = 75π cm³

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A test statistic is a parameter used during a hypothesis test to determine whether to accept or reject the null hypothesis. There are 2 test statistics, the z-score and t-score. The main difference is that the t-score is used when sample size is not greater than 30. Therefore we will use the t-score in this case.

The formula for t-score is:

t-score = (x – μ<span>) / (s / sqrt n)               -----> equation 1</span>

Where,

x = sample mean = 10.1

μ = population mean = 9.7

s = sample standard deviation = 1.8

<span> n = sample size = 30</span>

Substituting the given values in equation 1:

t-score = (10.1 – 9.7) / (1.8 / sqrt(30))

t-score = 1.22

<span>Answer: The test statistic is 1.22.</span>

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2 years ago
How do you work out this problem using completing the square x2 - 4x - 80 = 0
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Answer:

A value that satisfies this equation is called a root, zero or solution of the equation!! We have three ... Solve each by factoring. 1) x2 + 4x -5 = 0 ... Follow the explanation and sample problem to review completing the square.

Step-by-step explanation:

3 0
3 years ago
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Assume that lines that appear to be tangents are tangents. O is the center of the circle.
scoray [572]

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On a map, 1/2 inch represents 4/5 mile. What distance on the map represents 1 mile? ​
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1/2 / 4/5 = 1/2 *5/4 = 5/8

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3 years ago
(a) How many integers in the range 1 through 120 are integer multiples of 2, 3, or 5? keyboard_arrow_down Solution (b) How many
Umnica [9.8K]

Answer:

(a) 88 integers

(b) 92 integers

Step-by-step explanation:

(a) integers whose last digits are divisible by 2 are multiples of two or numbers whose digits ends with zero. So for number 1-120 , all the even numbers which are sixty in number are are multiples of two.

For  3, numbers whose digits sum is divisible by three are multiples of three. 3,6,9,12,15,18,21,24,27,30 are multiples of three from numbers 1-30. we have four 30s in 120. which means numbers of integers will be 10*4 = 40integers. However out of these numbers , half are also integers of 2 which reduces the number added to 20integers.

For 5, numbers whose digits ends with 5 or 0 are multiples of 5. this gives us 24 integers for 1-120. but out of these 24integers, 16 are common integers of 2 and 3 which reduces the number added to 8integers.

Thus from 1-120 the intergers of 2,3 or 5 = 60+20+8 = 88integers.

(b) if we are considering from numbers 1-140;

for 2 we wil have 70 integers,

for 5 we will have 28 integers, but those integers that end with 0 are also integers of 2 which reduces the number added to 14.

For 7, numbers 7,14,21,28,35,42,49,56,63,70 are multiples of three from 1-70. This pattern is repeated from number 71-140. hence we have 20 integers in all. However 12 of the multiples are also multiples of either 2 or 5 which reduces the number to 8 integers.

Thus from 1-140, the integers of 2, 5, or 7 = 70+14+8 = 92integers

3 0
3 years ago
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