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Lady bird [3.3K]
3 years ago
10

If the variance of the data values in a population is 225, what is the standard

Mathematics
1 answer:
Citrus2011 [14]3 years ago
3 0

Answer:15

Step-by-step explanation:

Apex

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To solve the equation 2(x - 1) = 8, you use the_______ to rewrite 2(x - 1) as 2x - 2.
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Answer:

the distributive property

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Which number sentence shows the correct placement of the decimal point in the product, based on the two factors?
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3.48 x 42.37 = 147.4476
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Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found t
Wittaler [7]

Answer:

a=30 +1.04*8=38.32

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.  

C) 38.32

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 waiting time in minutes of a population, and for this case we know the distribution for X is given by:

X \sim N(30,8)  

Where \mu=30 and \sigma=8

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}

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

P(X>a)=0.15   (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 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

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=1.04

And if we solve for a we got

a=30 +1.04*8=38.32

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.  

C) 38.32

7 0
3 years ago
line b passes through the point (-3, -4) and has a slope of -1/2 What is the equation of line b in standard form
dlinn [17]
Sorry I didn't get any of that but I know that standard forms means numbers that count for something
6 0
3 years ago
Ppls answer correct for a brainliest answer and points.
timama [110]

Answer:

12y + 2y² or 2y² + 12y

Step-by-step explanation:

4(2y + 3y) becomes 8y + 12y:

  • 4 × 2y = 8y
  • 4 × 3y = 12y

y(2y - 8) becomes 2y² - 8y:

  • y × 2y = 2y²
  • y × -8 = -8y

8y + 12y + 2y² - 8y = 12y + 2y² (the 8y's cancel out)

Answer: 12y + 2y² or 2y² + 12y

Hope this helps!

7 0
3 years ago
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