The mean undergraduate cost for tuition, fees, room, and board for four-year institutions was $26,489 for a recent academic year. Suppose that the standard deviation is $3204 and that 36 four-year institutions are randomly selected. Find the probability that the sample mean cost for these 36 schools is Less than $25,000

0.00265

Step-by-step explanation:

We solve using the z score formula

z = (x-μ)/σ/√n

where

x is the raw score = $25,000

μ is the population mean = $26,489

σ is the population standard deviation = $3204

n = random number of samples = 36

For x < 25,000

z = 25000 - 26489/3204/√36

z = 25000 - 26489/3204/6

z = -1489/534

z = -2.78839

Probability value from Z-Table:

P(x<25000) = 0.0026485

Approximately = 0.00265

The probability that the sample mean cost for these 36 schools is Less than $25,000 is 0.00265

1010: 3030

is it i think

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.