Write an equivalent expression in standard form.<br><br> (2x + 5)(x + 1)

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

The original quantity is 20 and the new quantity is 15. Adam incorrectly says the percent decrease is about 14.29%. What is the

Yuki888 [10]

Answer: A. divided the difference of the two quantities by the sum of the two quantities.

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Explanation:

The difference of the quantities is 20-15 = 5

The sum of the quantities is 20+15 = 35

Dividing those results leads to 5/35 = 0.142857 which rounds to 0.1429

That converts to 14.29%

This is likely the path Adam took. This path is incorrect. The correct steps are shown below

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Difference = 20-15 = 5

Divide the difference over the original quantity

5/20 = 1/4 = 0.25 = 25%

We have a 25% decrease because the new quantity (15) is smaller than the old quantity (20)

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Here's another way to approach the problem

A = old value = 20

B = new value = 15

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (15-20)/20 ] * 100%

C = (-5/20)*100%

C = -0.25*100%

C = -25%

The negative C value means we have a negative percent change, ie we have a percent decrease. So this is another way to get a 25% decrease.

4 0

2 years ago

Read 2 more answers

2. What is the equation of the line that passes through (4, -5) and (6, -9)?

Anestetic [448]

Ok right now I’m going home now I’m

5 0

3 years ago

Go to your math tools and open the Graph tool to graph Gwen's and Tristan's equations. Hint: To create the graph, select the cor

poizon [28]

Answer:

Step-by-step explanation: when you first open the graphing tool you have to click relationship and choose custom. put in gwen’s equations (y=100+10x) then go to relationship and choose custom again and put in tristan’s equation (y=12.5)

also click on the settings button at the bottom of the graph and put the x axis to -100 min and 100 max and for y axis put -1000 min and 1000 max or you could choose your own numbers but thats just what i put

4 0

3 years ago

Read 2 more answers

What is an equation of the line that is parallel to y=4x−10 and passes through (1, 13) ?

klasskru [66]

If a line is parallel to another line,Then the gradients are the same.So m=4 .Using general formula for str8 line, y=mx+c
$y = 4x + c$
sub in coorfinates (1,13)
$13 = 4 + c$
So C=9.
$y = 4x + 9$

4 0

3 years ago

Write an equivalent expression in standard form. (2x + 5)(x + 1)