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seropon [69]
3 years ago
8

Explain how you decided whether the numbers are equivalent?

Mathematics
1 answer:
Katen [24]3 years ago
5 0
If they can be multiplied or divided by the same number and they both have the same answer it is equivelent.
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Given that z is a standard normal random variable, find z for each situation. The area between 0 and z is .4750. Answer The area
algol13

Answer:

P(0

And solving for z we have

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.975,0,1)"

And we got z =1.96

P(Z>z)= 0.1314

And we can use the complement rule and we got:

P(Z>z) = 1-P(Z

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.8686,0,1)"

And we got z =1.120

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.67,0,1)"

And we got z =0.440

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

We want this probability:

P(0

And solving for z we have

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.975,0,1)"

And we got z =1.96

For the next part we want to calculate:

P(Z>z)= 0.1314

And we can use the complement rule and we got:

P(Z>z) = 1-P(Z

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.8686,0,1)"

And we got z =1.120

For the next part we want to calculate:

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.67,0,1)"

And we got z =0.440

6 0
3 years ago
Simplify.<br> -2(x+3)+6x
brilliants [131]

−2(x+3)+6x

Distribute:

=(−2)(x)+(−2)(3)+6x

=−2x+−6+6x

Combine Like Terms:

=−2x+−6+6x

=(−2x+6x)+(−6)

=4x+−6

4 0
3 years ago
If sin150=1/2 then find sin75
Darya [45]

Sin75° = Sin(30° + 45°)

= Sin30°.Cos45° + Sin45°.Cos30°

= 1/2 . √2/2 + √2/2.√3/2

= √2/2 ( 1/2 + √3/2 )

= √2/2 ((1+√3 ) /2 )

= (√2 + √6 )/ 4

3 0
3 years ago
Helpppp give explanation too pleaseee!
olga2289 [7]

Answer:

24

Step-by-step explanation:

You have to add all sides of length to get the perimeter

7 0
3 years ago
Read 2 more answers
How much more is 8x + 7 than 2x - 3?
Anna007 [38]
(8x + 7) - (2x - 3)
(8x + 7) + (-2x + 3)
combine like terms
8x - 2x and 7 + 3

6x + 10
3 0
2 years ago
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