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wariber [46]
3 years ago
7

20 POINTS!!!!

Mathematics
1 answer:
Nata [24]3 years ago
5 0

Answer:

0.5+3.7 =4.2

You meant translate into numbers, correct?

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t is known that the population variance equals 484. With a 0.95 probability, the sample size that needs to be taken if the desir
PtichkaEL [24]

Answer:

The sample size needed to be taken is approximately 74.

Step-by-step explanation:

To get alpha; we have 1 - 0.95 = 0.05

Therefore, z_{\frac{a}{2} }  = \frac{0.05}{2}  = 0.025

The we look up z* in a Standard Normal table where α = 0.025 area in each tail.

From the table, z* = 1.96

From the question variance is 484, then the standard deviation is 22

Standard deviation = \sqrt{Var(x)}  = \sqrt{484}  = 22

And margin of error is 5 or less

The formula for margin of error is given as:

margin of error = \frac{(z^{*}) (SD)}{\sqrt{n} }

5 = \frac{1.96  * 22}{\sqrt{n} } \\5 = \frac{43.12}{\sqrt{n} } \\5 * \sqrt{n}  = 43.12\\(5)^{2}  * (\sqrt{n} )^{2} = (43.12)^2\\25 * n = 1859.3344\\25n =  1859.3344\\\frac{25n}{25}  = \frac{1859.3344}{25} \\n = 74.373376\\n = 74

The approximate value of n is 74.

3 0
3 years ago
Which quadratic function has Vertex (-1,4) and passes through (4,19) <br> HELP
hichkok12 [17]

Answer:

f(x)=\frac{3}{5}(x+1)^2+4

Step-by-step explanation:

The equation of a quadratic function in vertex form is given by:

f(x)=a(x-h)^2+k

Where (h,k) is the vertex.

It was given in the question that the vertex of the parabola is (-1,4).

When we substitute the vertex into the formula we get:

f(x)=a(x+1)^2+4

The parabola also passes through (4,19) hence it must satisfy its equation.

19=a(4+1)^2+4

19-4=a(5)^2

15=25a

We divide both sides by 25 to get:

a=\frac{15}{25}= \frac{3}{5}

Hence the quadratic function is:

f(x)=\frac{3}{5}(x+1)^2+4

6 0
3 years ago
What happens to the decimal point when you divide by 10? Question 2 options: moves to the right 1 place moves to the right 2 pla
Liono4ka [1.6K]
When\ dividing\ by\ ten,\ we\ know\ that\ the\ decimal\ always\ moves\ one\\&#10;place\ to\ the\ left.\ Example:\\&#10;10.24 / 10 =  1.024
I hope this helps!
7 0
3 years ago
Read 2 more answers
Solve for x <br> 4 (x – 7) = -8
daser333 [38]
It should be 5. When you distribute the 4, it turns into 4x then (4•-7) = -28. Add 28 to -8 and you get 20. Divide 4 on Both sides and X=5
6 0
4 years ago
Read 2 more answers
Two planes just took off from Milwaukee, WI. The first plane is traveling 3
drek231 [11]
Answer:

D = rt
b, slower plane
8.5(3b) - 8.5(b) = 1649
25.5b - 8.5b = 1649
17b = 1649
b = 97mph
3b = 291mph
4 0
3 years ago
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