Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750

What is the standard deviation of the data? Round to the nearest whole number.

65

75

100

130

Answers

Answer 1

Answer: In order to find the standard deviation, we first have to calculate the mean (average) of the numbers. To get this we add all the numbers together and then divide by 12 since there are 12 numbers. The mean = 782. Next, we take each number and subtract the mean, taking the result and squaring it. For this we get: 6724, 2209, 10404, 11664, 729, 1764, 12544, 9, 529, 71824, 1444, 1024. Now we sum all of these up and take the average by dividing the sum by 12. Doing this we get 120868/12=10072. The last step is the take the square root of that number to get the standard deviation. The final result is 100.

Answer 2

Answer:

The standard deviation of the given set is:

S = 130.

How to get the standard deviation?

Here we have the set:

{700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750}

First, we need to get the mean of the set which is:

$M = (700 + 735 + 680 + 890 + 755 + 740 + 670 + 785 + 805 + 1050 + 820 + 750)/(12) = 704.17$

Then the standard deviation is:

$S = \sqrt{((700 - 704.17)^2 + (735 - 704.17)^2+ (680 - 704.17)^2 + ... + (820 - 704.17)^2 + (750 - 704.17)^2)/(12)} = 129.5$

So we conclude that the standard deviation, rounded to the next whole number, is S = 130

If you want to learn more about standard deviation:

brainly.com/question/475676

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Which pair of numbers is relatively prime? A.
18 and 45

B.
26 and 91

C.
10 and 33

D.
14 and 63

Answers

The answer is C)

The numbers are relatively prime if there is no common factor that divides both of them apart from 1. A) isn't answer because 3 is one of common factors. B isn't answer because 13 is common factor. and D isn't answer because 7 is common factor.

Therefore only 10 and 31 have no common factors other than 1

A triangle cannot have more than one obtuse angle true or false

Answers

Answer:

True

Step-by-step explanation:

According to the Angle Sum property of triangle, Sum of all interior of a triangle is equal to 180°.

If there is more than one obtuse angle in a triangle then Sum of both obtuse angle exceed the maximum sum of all three angle of a triangle. Which contradict the Angle Sum Property of triangle.

So, It is impossible to have a triangle with two obtuse angles.

Only possible is a triangle with 1 obtuse angle with 2 acute angles.

Therefore, Answer for given statement is TRUE

The answer is true;
because if a triangle had more than one obtuse angle it would become like a rhombus or something else so it is not possible to remain a triangle and have more than one obtuse angle c:

Simplify square root of 5 multiplied by the cube root of 5.5 to the power of 5 over 6
5 to the power of 1 over 6
5 to the power of 2 over 3
5 to the power of 7 over 6

Answers

Answer:

5 to the power of 5 over 6 = $5^{(5)/(6)}$

Step-by-step explanation:

1)Let's define some properties about exponent:

$a^{(b)/(c)}=\sqrt[c]{a^(b)}$

For example :

$4^{(1)/(2)}=\sqrt[2]{4^(1)}=\sqrt[2]{4}=√(4)=2$

$2^{(6)/(3)}=\sqrt[3]{2^(6)}=\sqrt[3]{64}=4$

2)Another property of exponent is :

$(a^(b)).(a^(c))=a^(b+c)$

For example :

$(4^(2)).(4^(3))=4^(2+3)=4^(5)=1024$

This means that when we have two exponential functions with the same base that are multiplying between them, we can sum the exponents in order to make a new exponential function with the same base.

Using this two properties we can solve the problem.

The expression is:

$(√(5)).(\sqrt[3]{5})$

Using the two properties :

$(√(5)).(\sqrt[3]{5})=(5^{(1)/(2)}).(5^{(1)/(3)})=5^{(1)/(2)+(1)/(3)}$

Now, $(1)/(2)+(1)/(3)=(5)/(6)$

Therefore, the final expression is

$5^{(1)/(2)+(1)/(3)}=5^{(5)/(6)}$ ⇒

$(√(5)).(\sqrt[3]{5})=5^{(5)/(6)}$

The correct answer is :

5 to the power of 5 over 6.

A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.6%, predict how many of the phones are likely to be defective. Round to the nearest whole number.

Answers

First turn 2.6% into a decimal which is 0.026 then times by 500 too get.... ? do you know the answer?

Answer:

13 phone would be defective

Step-by-step explanation:

What is the value of...?

Answers

Answer:

Step-by-step explanation:

I'm not sure I know exactly what that [1] means.

But here's how you get the answer

g(x) = 3x + 12

The symbolism means that wherever you see an x on the right side of g(x) you put f(x)

So it looks like this

g(f(x) ) = 3(f(x)) + 12 Now you put f(x) = 2x + 7 in for f(x) on the right.

g(f(x)) = 3(2x + 7) + 12 Remove the brackets

g(f(x)) = 6x + 21 + 12

g(f(x)) = 6x + 33

Now you deal with the x on the left. It becomes - 6

g(f(-6)) = 6(-6) + 33

g(f(-6)) = -36 + 33

g(f(-6)) = - 3

Rule 1

(g · f)(x)

has the meaning of whatever the function on the left is (in this case g) then the function of f is put in the xs place.

Rewrite in simplest terms (10x−2y)−(x+3y)

Answers

Answer:

The simplified expression is 9x - 5y.

To simplify the expression we can distribute the negative sign to the parenthesis. We can also get rid of the parenthesis of both terms once we have distributed.

$(10x-2y)-x-3y$

$10x-2y-x-3y$

We can now combine like terms:

$9x-5y$

So, our simplified expression is 9x - 5y.

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