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sashaice [31]
3 years ago
12

Given that on one section of the sat the mean is 500 and the standard deviation is 100, what is the approximate probability of a

student scoring 400 or lower or 500 or higher on the test?
Mathematics
1 answer:
Arada [10]3 years ago
7 0

We are to find for the probability when X≤400 or X≥500

We use the z score formula: z = (x – u) / s

 

when X≤400, the z is:

z = (400 – 500) / 100 = - 1

 

when X≥500, the z is:

z = (500 – 500) / 100 = 0

 

SO from the standard probability tables, the probability at:

<span>P (z ≤ -1 or z ≥ 0) = 0.6587</span>

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Solve for x,y, and z
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Add equation 1 with equation 2.

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Then subtract equation 3 from equation 2.

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3 0
3 years ago
If the population of a country increases at a rate of 1.5% annually and its current population is 430,000, how many years will i
Sphinxa [80]

Answer:

That is 74 years.

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1.5% = 0.015.

The equation for the rate of growth is P = 430,000(1.015)^n where n is the number of years.

Triple the population  is 430,000 * 3 =  1,290,000, so:

1,290,000 = 430,000(1.015)^n

(1.015)^n = 1290,000 / 430,000 = 3

Taking logs of both sides:

n log 1.015 = log 3

n = log 3 / log 1.015  =  73.8 years

5 0
3 years ago
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He did not wait as long between each treatment of ant killer.

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He did one on monday and another on saturday then checked them on sunday

8 0
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