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yarga [219]
2 years ago
15

What is the sum of the interior angles of the pentagon

Mathematics
1 answer:
musickatia [10]2 years ago
8 0
<h3>The sum of the interior angles of a pentagon are always equal to 540 degrees.</h3><h3 />
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In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean
Otrada [13]

Answer:

a=1050 -0.126*218=1022.532

So the value of height that separates the bottom 45% of data from the top 55% is 1022.532.  

Step-by-step explanation:

1) 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".  

2) Solution to the problem

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

X \sim N(1050,218)  

Where \mu=1050 kWh and \sigma=218kWh

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.55   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.45 of the area on the left and 0.55 of the area on the right it's z=-0.26. On this case P(Z<-0.126)=0.45 and P(z>-0.126)=0.55

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.126=\frac{a-1050}{218}

And if we solve for a we got

a=1050 -0.126*218=1022.532

So the value of height that separates the bottom 45% of data from the top 55% is 1022.532.  

8 0
3 years ago
PLEASE HELP ME! CLICK ON THE PICTURE FOR A BETTER VIEW IF U NEED TO!
masya89 [10]

Answer:

In order: -5, 3, 5

Step-by-step explanation:

-5g + 15h - 25

-5 ( g - 3h + 5 )

Hopefully this helps!

Brainliest please?

3 0
2 years ago
Can you help with this one: Dorthy Katz, a computer programmer, earns regular hourly rate of 32.25 and time and a half when she
Katena32 [7]

a) 32.25* 40 = 1290

b) 32.25 (1.5) *12 =580.50

c) 1290+580.50=1870.50

3 0
3 years ago
Who know the answer of this? And can u pls explain for me?
anyanavicka [17]

Answer:

1.5 kg

Step-by-step explanation:

17*92 g = 1564

1564/1000= 1.564 kg

4 0
2 years ago
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Bob drove 864 miles in 12 hours. At the same rate, how long would it take him to drive 648 miles? ​
MariettaO [177]
It will take 12*648/864=9 hours
3 0
3 years ago
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