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3 years ago

The approximate volume of a sphere with a diameter of 10 centimeters is

Mathematics

1 answer:

Alexeev081 [22]3 years ago

5 0

Answer: The volume is approximately 523.6 cm³.

Step-by-step explanation:

The formula for the volume of a sphere is V=4/3(3.14)r³

The radius is 5 cm, the you just have to multiply everything together.

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rodikova [14]

Answer:

the answer is on the far left.

Step-by-step explanation:

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3 years ago

A vehicle uses 1 gallons of gasoline to travel 13 miles. At this rate, how many mile

Brrunno [24]

1 gallon (it’s stayed in the question)

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The table shows the solution to the equation |2x − 5| − 2 = 3: Step 1 |2x − 5| = 3 + 2 Step 2 |2x − 5| = 5 Step 3 2x − 5 = 5 or

telo118 [61]

|2x − 5| − 2 = 3
1) |2x − 5| = 3 +2
2) |2x − 5| = 5
3) 2x-5 = 5, or 2x-5= -5
4)2x=10, or 2x=0
5) x = 5 , or x = 0

Check:
 |2x − 5| − 2 = 3
|2*5− 5| − 2 = 3 or |2*0 − 5| − 2 = 3
|5|-2=3 or |-5| -2 =3
3=3 (true) or 3=3 (true)

All steps are correct.

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3 years ago

A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard dev

zimovet [89]

Answer:

$Z = 3.33$

Step-by-step explanation:

Z-score:

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.

In this question:

$\mu = 13, \sigma = 1.2$

You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.

We have to find Z when X = 17. So

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

$Z = \frac{17 - 13}{1.2}$

$Z = 3.33$

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3 years ago

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Step-by-step explanation:

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