On Monday, David woke up at 7:25 A.M. and went to sleep at 8:30 P.M. How long was David awake?

Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are

viktelen [127]

Using the normal distribution, it is found that due to the greater z-score, Stewart caught the longer fish relative to the same specie.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

To find who caught the longer fish relative to the same specie, we need to find out who had the higher z-score.

Stewart caught a bluefish with a length of 322 mm, hence the parameters are as follows:

$X = 322, \mu = 267, \sigma = 39$

The z-score is:

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

$Z = \frac{322 - 267}{39}$

Z = 1.41

Gina caught a pompano with a length of 176 mm, hence the parameters are as follows:

$X = 176, \mu = 155, \sigma = 28$

The z-score is:

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

$Z = \frac{176 - 155}{28}$

Z = 0.75.

Hence Stewart caught the longer fish relative to the same specie.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0

1 year ago

You want to build a fence around a square garden that covers 506.25 square feet. How many feet of fence will you need to complet

Stolb23 [73]

<span>The area of a square is (length of side)^2 , the perimeter of a square is 4*(length of side)

Then your answer is 4 * sq rt (506.25 f`t^2) = 4 * 22.5 ft =

= 90 ft of fence</span><span>Source(s):</span>

4 0

3 years ago

Read 2 more answers

X + 2x + 7 = 3x - 7<br> How do you solve this?

Stella [2.4K]

Answer and explanation:

<em>To solve this, you must find what x equals</em>

x + 2x + 7 = 3x - 7 <em>Add together any numbers that can be added on their side</em>

3x + 7 = 3x - 7 <em>Then subtract 7 from both sides to get 3x alone</em>

3x = 3x - 14 <em> Then subtract 3x from both sides to get x</em>

<h3><em>*The x's cancel each other out so you must have typed the equation wrong. Please check to see any mistakes you may have made*</em></h3>

7 0

3 years ago

Read 2 more answers

Which triangle is a right triangle?

iren [92.7K]

Answer:

A right triangle is always 90 degrees.

Step-by-step explanation:

4 0

3 years ago

Some girls in a Girl Scout troop are pairing up with some boys in a Boy Scout troop to practice square dancing. Two-thirds of th

Natalka [10]

Answer:

Fraction of the scouts are square dancing is $\frac{19}{30}$ .

Step-by-step explanation:

Each pair is one Girl Scout and one Boy Scout.

So, to the final fraction ( of the pairs) we are going to get 1/2 from the fraction of girls and 1/2 from the fraction of boys.

Girls= $\frac{2}{3} *\frac{1}{2} =\frac{2}{6}$

Boys= $\frac{3}{5} *\frac{1}{2} =\frac{3}{10}$

To get the fraction of the scouts that are square dancing, we have to add the fraction of girls , with the fraction of boys.

= $\frac{2}{6} +\frac{3}{10}$

= $\frac{(2*10) +(6*3)}{6*10} =\\ \frac{20+18}{60}$

= $\frac{38}{60}$

= $\frac{19}{30}$

This means that from 30 scouts , 19 are dancing.

5 0

3 years ago