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NARA [144]
2 years ago
6

How to write in standard form twenty-nine billion, thirty-two million

Mathematics
1 answer:
katrin2010 [14]2 years ago
7 0
29,032,000,000 is the standard form
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The average show stays on Broadway for 2.4 years with a standard deviation of 1.5. What is the z-score of a show that runs for 2
balandron [24]
Z-scores are expressed in terms of standard deviations from their means. <span>The standard score is simply the score, minus the mean score, divided by the standard deviation. It is calculated as follows:

z = X- mean / standard deviation
z = 2.7 - 2.4 / 1.5
z = 0.2</span>
5 0
3 years ago
When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the proba
Zarrin [17]

Answer:

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

Given that:

Mean = μ = 150

SD = σ = 12

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 135

x2 = 167

So,

z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25

And

z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}

We have to find area to the left of both points then their difference to find the probability.

So,

Area to the left of z1 = 0.1056

Area to the left of z2 = 0.9207

Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151

Hence,

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

3 0
3 years ago
The formula for the circumference of a circle is c= 2pi r, where r is the radius. Rearrange the formula to solve for our and sel
ratelena [41]

Answer:  r = C/(2pi)

This is the same as writing r = \frac{C}{2\pi}

=========================================================

Explanation:

pi is some number (approximately 3.14) which means 2pi is also some number (roughly 6.28)

Saying c = 2pi*r means we have 2pi times r, and the result is the circumference c. To isolate r, we'll undo the multiplication. We'll undo it by dividing both sides by 2pi like so

C = 2pi*r

C/(2pi) = r

r = C/(2pi)

in which we can write it like r = \frac{C}{2\pi}

So whatever C is, we divide it over 2pi (aka roughly 6.28) to get the radius.

-----------------

Extra Info (Optional Section):

As an example, let's say the circumference of the circle is 628 feet. This means the distance around the circle is 628 feet. So C = 628 would lead to...

r = C/(2pi)

r = C/(6.28)

r = 628/(6.28)

r = 100

So the radius would be roughly 100 feet.

8 0
3 years ago
Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the other. Af
Flauer [41]

Answer:

Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the other. After two hours, they are 232 miles apart. What is the average speed of each train?

52 mph; 64 mph

55 mph; 70 mph

92 mph; 104 mph

98 mph; 110 mph

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
alaska has land are about 1,700,000 sq kilometers. Florida has a land are 1/10 the size of alaska. what is the land area of Flor
zhannawk [14.2K]
170,000 square kilometers, divide by 10, or take off a 0
8 0
3 years ago
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