Suppose the following data set represents the starting salaries for the population of teachers from eight states:

Mathematics

1 answer:

yuradex [85]2 years ago

5 0

Answer:

a) The mean of the data set is $33,691.13 and can be calculated by finding the average of the sum of the eight salaries.

b) The five number of the data set is {27,274; 30,421; 32,941.5; 35,682; 44,166} and can be calculated by finding the minimum, maximum, median, and interquartile range values.

c) The standard deviation of the data set is 4773.50 and can be calculated by finding the square root of the average of the sum of the differences from the mean squared.

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The distance between (-5, 3) and B(5, 3) is

8090 [49]

In here, we will use the distance formula
$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

Compute the distance between <span>(-5, 3) and (5, 3)
</span> $=\sqrt{\left(5-\left(-5\right)\right)^2+\left(3-3\right)^2}$
<span>
= 10

The distance between </span>(-5, 3) and (5, 3) is 10

8 0

3 years ago

Eva is arranging 24 photos in an album. How many different ways can she arrange the photos so that the number of photos on each

mart [117]

1 x 24
2 x 12
3x8
4x6

Four different ways. Think of the factors of 24. Hint- only use the same number once!

6 0

3 years ago

Explain why the function is discontinuous at the given number

Blizzard [7]

For $f$ to be continuous at $x=5$ , we need to have

$\displaystyle\lim_{x\to5}f(x)=f(5)$

Note that $x\to5$ means that $x\neq5$ , but that $x$ is *approaching* 5. We're told that for $x\neq5$ , we have

$f(x)=\dfrac{x^2-5x}{x^2-25}$

We can write

$\dfrac{x^2-5x}{x^2-25}=\dfrac{x(x-5)}{(x+5)(x-5)}=\dfrac x{x+5}$

and the limit would be

$\displaystyle\lim_{x\to5}\frac x{x+5}=\dfrac5{5+5}=\dfrac5{10}=\dfrac12\neq1=f(5)$

and so $f$ is discontinuous.

5 0

3 years ago

Need help ASAP!!!

Annette [7]

Answer:

1. Identifying parts of a triangle can help you find trigonometric ratios by seeing what side and angle measurements you have and if you have enough information to solve the triangle.

2. To use inverse trigonometric functions you should have to find the unknown measure of an angle of a right triangle when two side lengths are known. So, you simply use the same math as you would in trig ratios, but in a calculator you would have to click cos^-1, tan^-1, or sin^-1.

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3 years ago

What is the area of a rectangle with length 4x-3 and width 6x+9

Liono4ka [1.6K]

We are given

length of rectangle is 4x-3

width of rectangle is 6x+9

we know that

Area of rectangle = length of rectangle*width of rectangle

so, we can plug value

and we get

$Area=(4x-3)*(6x+9)$