The distribution of assembly times required to assemble a certain smartphone is approximately normal with mean 46 minutes and standard deviation 0.6 minute. Of the following, which is closest to the percentage of
assembly times between 4 and 5 minutes?

59%

Step-by-step explanation:

I assume you mean 4.6 minutes.

Calculate the z-scores.

z = (x − μ) / σ

z₁ = (4 − 4.6) / 0.6

z₁ = -1

z₂ = (5 − 4.6) / 0.6

z₂ = 0.67

Use a calculator or chart to find the probability.

P(-1 < Z < 0.67) = P(Z < 0.67) − P(Z < -1)

P(-1 < Z < 0.67) = 0.7486 − 0.1587

P(-1 < Z < 0.67) = 0.5899

The probability is approximately 59%.

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.