Expand the following. In other words, remove the parentheses (brackets):

Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are common catches. The mean length of

julia-pushkina [17]

Answer:

Due to the higher z-score, Stewart caught the longer fish, relative to fish of the same species

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Who caught the longer fish, relative to fish of the same species?

Whosoever fish's had the higher z-score.

Stewart caught a bluefish that was 283mm

The mean length of a bluefish is 264 millimeters with a standard deviation of 57mm.

So we have to find Z when $X = 283, \mu = 264, \sigma = 57$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{283 - 264}{57}$

$Z = 0.33$

Gina caught a pompano that was 152mm long.

For pompano, the mean is 157mm with a standard deviation of 28mm.

So we have to find Z when $X = 152, \mu = 157, \sigma = 28$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{152 - 157}{28}$

$Z = -0.18$

Due to the higher z-score, Stewart caught the longer fish, relative to fish of the same species

8 0

3 years ago

Given x-intercepts of -3 and 2 find and equation for a graph that goes through both points. (You do NOT have to graph the equati

lesya [120]

Answer:

1? lllllllllllll the answer is 1 I think

6 0

3 years ago

How many graduates from university a had an income under 20,000

USPshnik [31]

I believe about two thirds

4 0

2 years ago

Write an equation of a circle that is centered at (1,-4) with a radius of 10.

alexdok [17]

Answer:

$(x-1)^2 + (y+4)^2 = 100\\\\$

=====================================================

Work Shown:

$(x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\$

You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.

5 0

2 years ago

Read 2 more answers

The LCM of 2 numbers is 60 and 1 of the numbers is 7 less than the other number. What are the numbers?

Phoenix [80]

Let's represent the two numbers by x and y. Then xy=60. The smaller number here is x=y-7.

Then (y-7)y=60, or y^2 - 7y - 60 = 0. Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:

discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191. Because the discriminant is positive, this equation has two real, unequal roots, which are
-(-7) + sqrt(191)
y = -------------------------
-2(1)

and

-(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
-2(1)

Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.

Try thinking this way: If the LCM is 60, then xy = 60. What would happen if x=5 and y=12? Is xy = 60? Yes. Is 5 seven less than 12? Yes.

5 0

3 years ago