Given the following data set: 4, 5, 3, 4, 7, 8, 9 (2 points)
Calculate the three "measures of variability". You must show all of your work to receive full credit. (copy and paste equations from the correct homework assignment to make this easy).

Hi ;-)

\(\text{x}=6 \ \text{and} \ \text{y}=-4\\\\6\text{x}-5\text{y}=6\cdot6-5\cdot(-4)=36+20=\boxed{56}\)

Answer:

56

Step-by-step explanation:

x = 6 and y = -4

Substituting the values in the equation,

6(6) - 5(-4)

=> 36 + 20

=> 56

Step-by-step explanation:

6+7m<6m or 3m-7<5+6m

6<7m+6m or 3m-6m<5+7

6<13m or -3m<13

m<13/6 or m<13/-3

m<2.16 or m<-4.333

m<2.2 or m<-4.34

To calculate the total number of samples in the sample space when randomly sampling 3 objects in order from among 42 objects, we need to consider the concept of permutations.

A permutation is an arrangement of objects in a specific order. In this case, we are interested in the number of permutations when selecting 3 objects from a pool of 42 objects.

The formula to calculate permutations is given by nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects being selected.

In our case, n = 42 (total objects) and r = 3 (objects being selected). Therefore, the total number of samples in the sample space can be calculated as 42P3.

By substituting the values into the formula, we have 42P3 = 42! / (42 - 3)!

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Answer:

80 hours   for 2 workers  to build 8 cars

Step-by-step explanation:

2 cars / 8w *5 hr  =   2 cars / 40 hrs    1 car takes 20 hrs

8 cars * 20 hours = 160 hours required

 two workers split this time    160/2  = 80 hours

Answer: b=10.

Step-by-step explanation: 5=b/2 b/2=5 2b/2=(5)(2) b=10

Answer:

3/4

Step-by-step explanation:

the graph point starts at the y-intercept 1 and then moves 4 digits forward and 3 digit upward

Answer:

Since the slope doesn't go down we can safely ignore -3/4 and -4/3.

The slope goes up 3 and 4 to the right.

y = 3

x = 4

y/x

so the answer is 3/4

Given :-

To Find :-

Solution :-

As we know that when two parallel lines is intersected by a transversal then the corresponding angles are equal . Here 15x - 5 and 14x +4 are corresponding angles . So ,

\(\red\longrightarrow\) 15x - 5 = 14x + 4

\(\red\longrightarrow\) 15x - 14x = 5+4

\(\red\longrightarrow\) 15x - 14x = 9

\(\red\longrightarrow\) x = 9

Hence the angle is ,

\(\red\longrightarrow\) 14x + 4

\(\red\longrightarrow\) 14(9) + 4

\(\red\longrightarrow\) 126 + 4

\(\red\longrightarrow\) 130°

Hence the required answer is 130° .

Explanation :

15x - 5 and 14x +4 are corresponding so we have to do it like,

↣ 15x - 5 = 14x + 4

↣ 15x - 14x = 5+4

↣15x - 14x = 9

↣ x = 9.

Hence the angle is ,

↣14x + 4

↣14(9) + 4

↣ 126 + 4

↣ 130°

Hence the required answer is 130° .

The dimensions of expensive television is 32 inches through 64 inches.

This trouble may be solved if we understand the idea of fraction and a way to calculate the part of a fragment.

right here it is for the reason that the inexpensive tv is 12 inches by means of 24 inches.

Also it is given that the expensive television is \(\frac{8}{3}\) of the cheaper one.

Now taking the length into consideration the length of the television is

  =\(\frac{8}{3}*12\)

  = 32 inches

Now taking the width into consideration the width of the television is

 =\(\frac{8}{3}*24\)

 = 64 inches

So, the dimension of the expensive television is 32 inches by 64 inches.

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Answer:

Step-by-step explanation:

338.33 ft

Answer:<x=105

Step-by-step explanation:

180-75=105

Answer:

468 square feet; Option C

Step-by-step explanation:

We can see that the base of this triangular prism has dimensions 15 feet by 10 feet, so for starters let us compute the area of this base:

Area ⇒ 15 * 10 = 150 ft^2

Now the rectangular surface next to this base, has dimensions 9 feet by 10 feet, provided that 9 feet is a uniform height of the triangular prism:

Area ⇒ 9 * 10 = 90 ft^2

This third rectangle is provided with one dimensions, of 10 feet. If we were to imagine what part of the 3-d shape is is, it would in fact be the slanted top. To find the second dimension, you would imagine it to be 12 feet. Using that, the area of this rectangle is thus ⇒ 10 * 12 = 120 ft^2

Now the two triangles at the corners each have an area of ⇒ 1/2 * base * height = 1/2 * 12 * 9 = 6 * 9 = 54 ft^2, so they have a total area of ⇒ 108 ft^2

This means the surface area of the right, triangular prism is:

150 + 90 + 120 + 108 = Answer: 468 square feet

we have the expression

Find out the derivative g'(x)

so

Looking at the graph

f(2)=3

Find out the value of f'(x) at x=2

Find out the slope of f(x) between interval (0,3)

we have the points (0,-5) and (3,7)

m=(7+5)/(3-0)

m=12/3

m=4

so

f'(2)=4

substitute the given values in the expression above

therefore

Answer:

\((x-1)^2-13=0\)

\(x = \sqrt{13}+1\)

Step-by-step explanation:

Completing the square is a method of rewriting a quadratic equation in the standard form such that it is in vertex form. The first step is to group the linear and quadratic terms, then factor out the coefficient of the quadratic term. After doing so, complete the square, add a value such that the linear and quadratic terms form a perfect square trinomial. Do not forget to balance the equation. The final step is to simplify.

\(x^2-2x-12=0\)

Group,

\((x^2-2x)-12=0\)

Complete the square,

\((x^2-2x+1)-12-1=0\)

Simplify,

\((x-1)^2-13=0\)

Now solve the equation using inverse operations,

\((x-1)^2-13=0\\\\(x-1)^2=13\\\\x-1=\sqrt{13}\\\\x = \sqrt{13}+1\)

Answer:

SAS

Step-by-step explanation:

Connie's total bill is sum of trail mix and water will be  $9.13.

What is sum ?
In mathematics, the sum refers to the result of adding two or more numbers together. It is a basic arithmetic operation, often used in many different mathematical concepts and calculations. The symbol for addition is '+', and the sum of a set of numbers is often represented using the capital Greek letter sigma (∑).

According to the question:

Connie's total bill would be the sum of the cost of the trail mix and the cost of the water, which is:

Total bill = cost of trail mix + cost of water

Total bill = $6.98 + $2.15

Total bill = $9.13

Therefore, Connie's total bill was $9.13.

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Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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Answer:

we have

tan ø=perpendicular/base

tan30=3/y

y=3/tan30

y=3√3 is your answer

Answer: It's kinda simple, 2/5 and 4/5

Just add 1 to the numerator of the original fraction, and there's where you get 4/5. Then subtract 1 from the original fraction, and that's where you get 2/5!

Answer:

The median {Q2} is 10

Q1 is 7+7/2 which is 7

Q3 is 15+12/2 which is 13.5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

its coreect

\(0,4(5x-15)=2,5(x+3)\\\\2x-6=2,5x+7,5\\\\2x-2,5x=7,5+6\\\\-0,5x=13,5 \ \ /\cdot(-2)\\\\\huge\boxed{x=-27}\)

Answer:

Answer:

x=−27

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.4(5x−15)=2.5(x+3)

(0.4)(5x)+(0.4)(−15)=(2.5)(x)+(2.5)(3)(Distribute)

2x+−6=2.5x+7.5

2x−6=2.5x+7.5

Step 2: Subtract 2.5x from both sides.

2x−6−2.5x=2.5x+7.5−2.5x

−0.5x−6=7.5

Step 3: Add 6 to both sides.

−0.5x−6+6=7.5+6

−0.5x=13.5

Step 4: Divide both sides by -0.5.

−0.5x

−0.5

=

13.5

−0.5

x=−27

Answer:

x=−27

Answer: Square and rectangle

Step-by-step explanation:

There are 144 possible sequences of chip colors.

We can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.

Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:

Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144

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Answer:

-30

Step-by-step explanation:

-5 x -3 = 15

15 x -2 = -30

Explanation:

A negative times a negative will always be a positive. Vice versa.

A positive times a negative will always be a negative. Vice versa.