Which is relatively better: a score of 73 on a psychology test or a score of 41 on an economics test? scores on the psychology test have a mean of 86 and a standard deviation of 15. scores on the economics test have a mean of 48 and a standard deviation of 7.choose the correct answer below.(a) the economics test score is relatively better because its z score is less than the z score for the psychology test score.(b) the psychology test score is relatively better because its z score is less than the z score for the economics test score.(c) the economics test score is relatively better because its z score is greater than the z score for the psychology test score.(d) the psychology test score is relatively better because its z score is greater than the z score for the economics test score.

The correct option is: (D) The psychology test score is relatively better because its z score is greater than the z score for the economics test score.

Step-by-step explanation:

Consider the provided information.

For psychology test:

Scores on the psychology test have a mean of 86 and a standard deviation of 15.

Use the Z score test as shown:

Substitute x=73, μ=86 and σ=15 in the above formula.

For economics test:

Scores on the economics test have a mean of 48 and a standard deviation of 7.

Use the Z score test as shown:

Substitute x=41, μ=48 and σ=7 in the above formula.

The Z score of psychology test is greater than the Z score of economic test.

Thus, the correct option is: (D) The psychology test score is relatively better because its z score is greater than the z score for the economics test score.

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.