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2 years ago

The volume of a sphere is 113.04 cubic feet. Find the radius. Use 3.14 for pi.

Mathematics

1 answer:

avanturin [10]2 years ago

4 0

Volume is 4/3(3.14)(r)^2
the radius is 5.2 ft

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Saul decides to use the IQR to measure the spread of the data. Saul calculates the IQR of the data set to be . Saul asks Jasmine

Amiraneli [1.4K]

The question is incomplete. The compete question is :

Saul decides to use the IQR to measure the spread of data. Saul calculates the IQR of the data set to be 27. Saul asks Jasmine to check his work. Saul copies the data in numerical order from least to greatest for Jasmine. 25, 30, 50, 50, 50, 50, 56, n, 250. What is the value of n that will make the IQR of the data set equal to 27?

Solution :

The inter quartile range is being measured as : 3rd quartile - 1st quartile

The 1st quartile = 25% mark

The 3rd quartile = 75% mark

The data set as given in the question is :

25, 30, 50, 50, 50, 50, 56, n, 250

Therefore, the total number of the sample = 9

And the median is = 50

The median separates the given data sets into two equal halves-- that is the upper half and the lower half.

Let the middle of a lower half is the 1st quartile be $Q_1$

And the middle of a 2nd half is the 3rd quartile be $Q_3$

∴ $Q_1=\frac{30+50}{2}$

$=40$

$Q_3=\frac{56+n}{2}$

Now for the IQR of the data set to be equal to $27$ ,

$\frac{56+n}{2}-40=27$

$\frac{56+n}{2}=27+40$

$\frac{56+n}{2}=67$

$56 +n=134$

$n=134-56$

$n=78$

4 0

3 years ago

Jason traveled 26 miles. The first 2 hours his speed was 4 mph, and the rest of the way his speed was 3mph. How long was he trav

horsena [70]

Answer: 8 hours

Step-by-step explanation: You would first multiply 2 hours by 4 mph, and get 8 miles. You would then subtract 8 miles from 26 miles, and have 18 miles left. You would now divide 18 miles by 3, as he is now traveling 3 miles per hour and needs to travel 18 miles. You would get 6 hours. You would now add 6 hours by the 2 hours initially traveled at 4 mph, and get 8 hours.

6 0

2 years ago

a picture frame originally priced at $13.00 is on sale for $7.50. what is the percent of decrease, rounded to the nearest whole

faltersainse [42]

Percent decrease : (original number - new number) / original number)...x 100

(13.00 - 7.50) / 13.00 = 5.5/13 = 0.42....x 100 = 42% decrease

8 0

2 years ago

Explain how you find the sum of 46+7.

Savatey [412]

You add 7 more to 46 and the answer would be 53.

8 0

2 years ago

Read 2 more answers

The ratio of Victors money to Susies money is 4:7 at first. After Victor spent half of his money and Susie spent $60, Susie had

valkas [14]

Answer:

Victor originally had $80

Step-by-step explanation:

Let Victor have $4x

Let Susie have $7x

Since Victor spent half his money, he now has $2x

Susie spent $60 and thus now has $(7x - 60)

The final ratio of Victor's money to Susie's money is therefore 2x : $(7x - 60). This is given 1:2. Now we just need to solve the proportion by cross-multiplying

2x : (7x - 60) = 1:2

1 × (7x - 60) = 2 × 2x

7x - 60 = 4x

3x = 60

x = 20

Therefore Victor originally had $4x = $80.

7 0

2 years ago

Read 2 more answers