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pogonyaev
3 years ago
14

I’m another normally distributed test score is 80 and the standard deviations is 10. How common are values in the less than 60?

Show your work
Mathematics
1 answer:
lord [1]3 years ago
6 0

Answer:

<em>The probability of obtaining a score less than 60 is 2.28% </em>

<em>It happens 2 out of 100 times.</em>

Step-by-step explanation:

If the mean μ = 80 and the standard deviation σ = 10, then we need to find the probability that an X value is less than 60.

Then we find

P(X

To find this probability we use the Z statistic.

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

P(\frac{X- \mu}{\sigma}

P(Z

This is the same as

P(Z> 2)

We look for this value in the table for the normal distribution of right queue and we have:

P(X  2) = 0.02275

<em>The probability of obtaining a score less than 60 is 2.28% </em>

<em>It happens 2 out of 100 times.</em>

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$75, $97, $360, $84, $119, $100 Find the median<br> a. 45<br> b. 98.5<br> C. 97<br> d. 100
mafiozo [28]

Answer:

C.97

Step-by-step explanation:

5 0
3 years ago
Your hotel sells four types of rooms: double queen beds for $140/night; king bed for $160/night; junior suite for $220, and full
liberstina [14]

Answer:

$176.50

Step-by-step explanation:

Take each room type and multiply the number of rooms by the price of the room. Add the total for prices and add the total for the number of rooms. Divide the total prices by the total number of rooms.

Type of room   Number Cost    Total

Double queen 140      $200.00   $28,000.00  

King                  160       $150.00   $24,000.00  

Junior Suite          220      $100.00   $22,000.00  

Full business          285 $50.00    $14,250.00  

                                $500.00    $88,250.00  

Average cos per room                    $176.50  

8 0
4 years ago
Where is the center of the largest circle that you could draw inside a given triangle? . A.the point of concurrency of the media
juin [17]

The <em><u>correct answer</u></em> is:

C.the point of concurrency of the angle bisectors of the triangle

Explanation:

The largest circle that can be drawn inside a triangle is called an inscribed circle.  The center of this circle is called the incenter.

The incenter is formed by the intersection of the angle bisectors of all 3 angles in the triangle.

5 0
3 years ago
Read 2 more answers
A line passes through the point (-2,2) and is parallel to the line of y=1/2(x-5/2) l. What is the equation of the line passing t
grin007 [14]
C is your answer. 

It contains the proper points and form. A is not in point-slope form and B has the incorrect slope. 
3 0
3 years ago
Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
Y_Kistochka [10]
The point slope form:
y - y_1 = m(x - x_1)

We need to find the slope. To find the slope we can use the following formula:
\frac{y_2 - y_1}{x_2 - X_1}

Use the points <span>(-5, 6) and (0, 1) and plug it into our slope formula and solve:
</span>\frac{1 - 6}{0 - (-5)}
\frac{-5}{5} = -1

So our slope is -1 which means m = slope = -1 
Now that we have our slope lets create the point slope form

Our point slope form equation is y - y_1 = m(x - x_1) Remember 
m = slope = -1. Also, we are going to use the point (-5,6).

First insert the m = slope = -1 number where m is located
y - y_1 = -1(x - x_1)

Next, insert the -5 from (-5,6) where x_1 is located and the 6 from (-5,6) where y_1 is located.
y - y_1 = -1(x - x_1)
y - 6 = -1(x - (-5))
Now simplify 
y - 6 = -1(x - (-5))
y - 6 = -1(x +5) <-------Answer





8 0
4 years ago
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