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kozerog [31]
3 years ago
8

In a normally distributed data set with a mean of 24 and a standard deviation of 4.2, what percentage of the data would be betwe

en 15.6 and 32.4 and why?
Mathematics
1 answer:
valentinak56 [21]3 years ago
8 0

Answer:

About 95% of data lies between 15.6 and 32.4

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 2.4

Standard Deviation, σ = 4.2

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Empirical Formula:

  • Almost all the data lies within three standard deviation from the mean for a normally distributed data.
  • About 68% of data lies within one standard deviation from the mean.
  • About 95% of data lies within two standard deviations of the mean.
  • About 99.7% of data lies within three standard deviation of the mean.

We have to find the percentage of data lying between 15.6 and 32.4

15.6 = 24 - 2(4.2) = \mu - 2\sigma\\32.4 = 24 + 2(4.2) = \mu + 2\sigma

Thus, we have to find the percentage of data lying within two standard deviations of the mean. By Empirical formula about 95% of data lies between 15.6 and 32.4

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How is 10 2/3 written as a decimal to the nearest hundred
expeople1 [14]

Answer:

10.67

Step-by-step explanation:

The 10 stays as it is.  The 2/3 is approximated by 0.67 (to the nearest hundredth).  Thus, we have 10.67 to the nearest hundredth.


6 0
3 years ago
Find the lateral area for the prism. L.A. =<br> Find the total area for the prism. T.A. =
Ksivusya [100]
The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2

The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2

6 0
3 years ago
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maksim [4K]
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7 0
3 years ago
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(6x - 5y = 34 Lin is solving this system of equations: 3x +2y = 8 She starts by rearranging the second equation to isolate the y
Norma-Jean [14]

Answer:

It is a little hard to see where your steps are for the equation, but x = 4, and I will explain:

Step-by-step explanation:

We know y = -1.5x +4, so we plug that into the equation

6x - 5(-1.5 + 4) = 34

6x +7.5x - 20 = 34    Here we distributed the -5 into the parenthesis.

13.5x -20 = 34

13.5 = 54

x = 4

Hope this helps!

4 0
3 years ago
PLEASE HELP!!! WILL MARK BRAINLIEST!!
slega [8]

Answer:

A

Step-by-step explanation:

I’m pretty sure since you’ve taken a cube from the original cube and relocated it, that means is not part of the surface area anymore.

I could be wrong tho lol

8 0
2 years ago
Read 2 more answers
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