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WINSTONCH [101]
4 years ago
5

List the elements of the set in roster notation. (enter empty or ∅ for the empty set.) {x | x is a letter of the word tallahasse

e}

Mathematics
1 answer:
Sonja [21]4 years ago
7 0
Check the attached file for the answer.

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Determine the minimum sample size required when you want to be 99% confident that the sample mean is within 0.50 units of the po
vfiekz [6]

Answer:

b. 224

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.58

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem:

We want to find n, when M = 0.5, \sigma = 2.9 So

M = z*\frac{\sigma}{\sqrt{n}}

0.5 = 2.58*\frac{2.9}{\sqrt{n}}

0.5\sqrt{n} = 7.482

\sqrt{n} = 14.964

(\sqrt{n})^{2} = (14.964)^{2}

n = 223.9

The nearest integer number to 223.9 is 224.

So the correct answer is:

b. 224

6 0
3 years ago
The relationship between the slopes of two lines that are parallel is _____________.
a_sh-v [17]
They are the same slope

they are negative inversees (they multily to get -1)

2

-1/2

use the square viewer (on TI)





The relationship between the slopes of two lines that are parallel is they are the same. The relationship between the slopes of two lines that are perpendicular is they are negative inverses of each other (they multiply to -1).
A line that is parallel to a line whose slope is 2 has slope 2.
A line that is perpendicular to a line whose slope is 2 has slope -1/2.

What must be done to make the graphs of two perpendicular lines appear to intersect at right angles when they are graphed using a graphing utility?

8 0
4 years ago
Read 2 more answers
What is the area of this figure?<br><br><br> 49.5 in²<br><br> 66.5 in²<br><br> 84 in²<br><br> 91 in²
zubka84 [21]

The given figure can be divided in two parts 1) Square with side 7 in 2) A right triangle with base 12 in and height 7 in.

1) Area of square = side^{2}

Side of the square is 7 in.

Area = 7^{2} =49in^{2}

2) Area of triangle = \frac{1}{2} .base . height

Area of triangle =\frac{1}{2} (12)(7) =42in^{2}

Area of polygon= Area of square+ Area of triangle

Area of polygon = 49+42 =91 square in.

Area = 91in^{2}

3 0
4 years ago
Read 2 more answers
What is the volume of a cylinder with base radius 4 and height 5?
lord [1]

Answer:

hey

Step-by-step explanation:

yep

3 0
3 years ago
Read 2 more answers
On a class trip to the zoo, there is 1 chaperone for every 4 students. If 5 chaperones are on the trip, how many students are go
aleksandr82 [10.1K]

Answer:

20 Students

Step-by-step explanation:

If there is 1 chaperone for every 4 students, and there are a total of 5 chaperones on the trip, you can use this information to know that..

If there are 5 chaperones and 4 students for each chaperone, that would give you 20 students!

6 0
3 years ago
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