In Exercises 3-10, use the following information. In a recent year, grade 8 Minnesota State public school students taking a mathematics assessment test had a
mean score of 290 with a standard deviation of 37. Possible test scores could range
from 0 to 500. Assume that the scores are normally distributed. (Source: National
Center for Educational Statistics)
3. Find the probability that a student had a score higher than 320.
4. Find the probability that a student had a score between 250 and 300.
5. What percent of the students had a test score that is greater than 250?
6. If 2000 students are randomly selected, how many would be expected to have
a test score that is less than 280?
7. What is the lowest score that would still place a student in the top 5% of the
scores?
8. What is the highest score that would still place a student in the bottom 25%
of the scores?
9. A random sample of 60 students is drawn from this population. What is the
probability that the mean test score is greater than 300?
10. Are you more likely to randomly select one student with a test score greater
than 300 or are you more likely to select a sample of 15 students with a mean
test score greater than 300? Explain.

Please help!

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

$3,200 x 7.25% = $3,200 x .0725 = $232 interest monthly

$232 monthly x 12 annual = $2, 784

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

25.3

step-by-step explanation:

1st step

add 3+6

=9

multipy 9*3

=37