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2 years ago

A convex hexagon has exterior angles of 39°, 47°, 42°, 59°, and 64°. What is the measure of an exterior angle at the

Mathematics

1 answer:

meriva2 years ago

7 0

Answer: $109^{\circ}$

Step-by-step explanation:

The exterior angles of a polygon add to 360 degrees, so the sixth angle measures $360-39-47-42-59-64=\boxed{109^{\circ}}$

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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

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8 0

2 years ago

Kate has an interior decorating business. She charges a base fee of $25 for each visit and $40 per hour for her labor. 1) Write

nataly862011 [7]

Answer:

1) C = $25 + $40 × h

2) The domain for the ≠unction is 0 ≤ h ≤ ∞

The range for the function is 25 ≤ C ≤ ∞

3) Continuous

Step-by-step explanation:

1) The given parameters are;

The base fee charged = $25

The amount charged for labor = $40/hour

The total cost for h number of hours is C = $25 + $40 × h

2) The domain for the ≠unction is 0 ≤ h ≤ ∞

The range for the function is 25 ≤ C ≤ ∞

3) The situation is continuous because the different input values of h can be infinite (from o to infinity)

3 0

3 years ago

Which represents the value of Point on the number line?

melomori [17]

Answer:

Step-by-step explanation:

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3 0

3 years ago

John owns a hot dog stand. He has found that his profit is represented by the equation p(x)=-x^2+62x+77, with p being profits an

dedylja [7]

Using a graphing calculator you can find that the maximum is 1038, so the profit starts to decline at the t value for <span>1038</span>, which is 31

4 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through the point (2,3) with slope 3.

djyliett [7]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the slope <em>m = 3</em>, and the point <em>(2, 3)</em>.

Put the value of slope and the coordinates of the given pint (x = 2, y = 3) to the equation of a line:

$3=3(2)+b$

$3=6+b$ <em>subtract 3 from both sides</em>

$-3=b\to b=-3$

Finally:

$y=3x-3$

5 0

3 years ago