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Romashka-Z-Leto [24]
3 years ago
9

A population of values has a normal distribution with μ = 158.9 μ = 158.9 and σ = 90.4 σ = 90.4 . You intend to draw a random sa

mple of size n = 218 n = 218 . Find P39, which is the mean separating the bottom 39% means from the top 61% means. P39 (for sample means) =
Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Answer:

P_{39}=133.68    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 158.9

Standard Deviation, σ = 90.4

We are given that the distribution is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.39

P( X < x) = P( z < \displaystyle\frac{x - 158.9}{90.4})=0.39  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 158.9}{90.4} = -0.279\\\\x = 133.6784\approx 133.68  

P_{39}=133.68

133.68 separates the bottom 39% means from the top 61% means.

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For each of these statements find a domain for which the statement is true and a domain for which the statement is false. a.) Ev
Snowcat [4.5K]

Answer:

a.

Everyone in the Discrete Math class

Everyone in the city

b.

People who receive their pension contribution

Students in a kindergarten class

c.

Twins in the world

Everyone in the world

d.

Miley Cyrus and Dua Lipa

Two blood brothers

Step-by-step explanation:

What we will do is go through each statement and we will give it a true domain and a false domain:

a.) Everyone is studying discrete mathematics.

Domain true = {Everyone in the Discrete Math class}

True because they belong to the math group

Domain false = {Everyone in the city}

False because in the city not everyone gives this type of mathematics.

b.) Everyone is older than 21 years.

Domain true = {People who receive their pension contribution}

True because to receive a pension you have to work for many years.

Domain false = {Students in a kindergarten class}

False because at 21 years old I shouldn't be in kindergarten anymore

c.) Every two people have the same mother.

True domain = {Twins in the world}

True because the twins have the same mother.

Domain false = {Everyone in the world}

False because not everyone has the same mother

d.) No two different people have the same grandmother.

True domain = {Miley Cyrus and Dua Lipa}

True because Miley and Dua don't have the same grandmother

Domain 2 = {Two blood brothers}

False because two blood brothers have the same grandmother

4 0
3 years ago
Which statement is true about the difference 2√7-√28
maw [93]
It seems like there are answer choices but you forgot to post them. If you want to simplify then

2*sqrt(7) - sqrt(28) = 2*sqrt(7) - sqrt(4*7)
2*sqrt(7) - sqrt(28) = 2*sqrt(7) - sqrt(4)*sqrt(7)
2*sqrt(7) - sqrt(28) = 2*sqrt(7) - 2*sqrt(7)
2*sqrt(7) - sqrt(28) = (2-2)*sqrt(7)
2*sqrt(7) - sqrt(28) = (0)*sqrt(7)
2*sqrt(7) - sqrt(28) = 0

So the whole complicated expression simplifies to 0 (zero)

This is because sqrt(28) = 2*sqrt(7) when you simplify sqrt(28)

Side Note: "sqrt" is shorthand for "square root"

7 0
3 years ago
Why is -2x -8 an algebraic expression
Montano1993 [528]
Because algebra means finding the unknown
it is usually used in real life
for example if if 1/2 of the legnth of a line is 8 then what is the legnth
so then 1/2 x=8 and that is algebraic
since it has x, or an unknown in it, it is an algebraic expression
5 0
3 years ago
Read 2 more answers
What is the solution set to the equation 4x2 – 16 = 0?
Luda [366]

Answer:

2

Step-by-step explanation:

add 16 to zero

4x2=16

Divide 4x by 2 and 16 by two

4x=8

divide 8 by 4

x=2

4 0
3 years ago
Read 2 more answers
N − 14 =m<br><br> Solve for n<br> Im not sure how..
lord [1]

Answer:

n = m + 14

Step-by-step explanation:

To "solve for n," we take steps to isolate n on the left side of this equation and everything else on the right side.

Start by adding 14 to both sides.  The result is n = m + 14.

This is the desired result:  n = m + 14.


3 0
3 years ago
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