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NARA [144]
3 years ago
6

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

Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0
29,032,000,000 is the standard form
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How much of a radioactive kind of xenon will be left after 15 days if the half-life is 5 days and
In-s [12.5K]

Answer:

12 grams

Step-by-step explanation:

15/5 = 3 half lives

(1/2)³ = 1/8 of the original amount will remain

96 * 1/8 = 12 grams

7 0
3 years ago
Read 2 more answers
A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. Teh mean is 73, wit
zavuch27 [327]

Answer:

The bottom for an A is 75. Round to the nearest whole number as needed.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the scores on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu=73,\sigma=7)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

2) The bottom for an A is _____. Round to the nearest whole number as needed.

And we want the top 5.5% of the scores, so we need a value a such that:

P(X>a)=0.055 or P(X

We need on the right tail of the distribution a value a that gives to us 94.5% of the area below and 5.5% of the area above. Both conditions are equivalent.

Let's use the condition P(X, the best way to solve this problem is using the z score with the following formula:

z=\frac{x-\mu}{\sigma}

So we need a value from the normal standard distribution that accumulates 0.945 of the area on the left and 0.055 on the right. This value on this case is 1.598 and we can founded with the following code in excel:

"=NORM.INV(0.945,0,1)"

If we apply the z score formula to our case we have this:

P(X

So then based on the equalities we have this:

\frac{a-73}{7}=1.598

And if we solve for a we got:

a=(7*1.598) +73=84.186

So then we need a score of 84.186 rounded to the nearest whole number 75 or higher in order to get an A

8 0
3 years ago
Omar went to the football game. He paid $13.50 for admission. He bought a program for $4.75, a bag of popcorn for $3.50, and a l
aalyn [17]
$25.10 is the answer
7 0
2 years ago
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At a store ,apples cost $5.00 for 2 pounds.what is the ratio of dollars to pounds of apples
Firdavs [7]

Answer:

$2.50 per pound of apple

Step-by-step explanation:

Or if you have to write it as a fraction $2.50/ 1

8 0
3 years ago
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Maggie's brother is three years younger than twice her age. The sum of their ages is 24 how old is maggie?
Vanyuwa [196]

The variable for Maggie will be M and 2x-3 be her younger brothers age (<u>Twice her age). </u>We then would turn this into <u>an algebraic problem</u>. (m+2x -3=24).

3x-3=24, we would add 3 to both sides (-3 and 24). 24 + 3 equals 27, we now have to divide -3x and 27 on both sides, which equals <u>9. (x=9)</u>



6 0
3 years ago
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