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shepuryov [24]
2 years ago
9

What is the measure of

Mathematics
1 answer:
Liula [17]2 years ago
5 0

The angle of NPR is 130°

First, set up an equation to find x.

(3x-10)+2x+65=180

Then, solve the equation for x.

x=25

Then, substitute 25 in for x in 2x

50

Finally, subtract 50 from 180 to find the angle of NPR

130°

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The distribution of the average amount of sleep per night gotten by college students is roughly bell-shaped with mean 412 minute
kirza4 [7]

Answer:

P(X

P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(412,68)  

Where \mu=412 and \sigma=68

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(z

4 0
3 years ago
Question 1<br> Solve: 25.6 - 5y + 15. 3
QveST [7]

Answer:

40.9 - 5y

Step-by-step explanation:

25.6 - 5y + 15.3

40.9 - 5y ## ^ combine like-terms

8 0
3 years ago
Write the word sentence as an equation. Then solve.
leonid [27]

Answer:

As an equation: 15 × x = -75

Solved: x = -5

Step-by-step explanation:

15*x = -75

\frac{15*x}{15} = -\frac{75}{15}, Divide by 15 on both sides to solve for x

x=-\frac{75}{15}, The 15 in the numerator cancels out with the denominator

x= -5, because 75/15=5

6 0
3 years ago
Read 2 more answers
What are the x and y intercepts of 4x-5y=100?
boyakko [2]
X intercept= (25,0)
y intercept=  (0,-20)
7 0
3 years ago
The perimeter of square JKLM is 48 units.
Mashcka [7]
Perimeter = 4 x sides
48 = 4 (x + 3)
48 = 4x + 12
36 = 4x
x = 9

Check:
x + 3 = 9 + 3 = 12
12 x 4 = 48
4 0
2 years ago
Read 2 more answers
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