Instructions: Complete the following table, computing each students' mean, median, mode, and range: Math Test Scores ( picture attached ) What is the mean score for Test 2? What is the mode of Test 7? ________What is the median score of Test 4? ________What is the range of Test 6? ________

The given function is:

It is reflected across the x-axis to obtain a new function. This transformation follows the rule:

If we apply this rule, we obtain:

The answer is y=-|x|

6W + 7 = 12

to solve this, just isolate W

so, the answer is w=5/6

Solution

Use this graph to answer the questions below:

The numbers sold for 2020 and 2021 are shown in the double bar above

1. The number of radio sold in 2021 = 440

2. Which products sold more in 2021 than in 2020 :

The only products that sold more in 2021 than in 2020 is video games

3. Which products sold the least over the two years

The products that sold the least = DVDS

SOLUTION:

Step 1:

In this question, we have that:

Step 2:

Part A:

We are meant to show that the equation:

can be written in the form

Proof:

Re-arranging, we have that:

Part B:

b) Hence, solve for x in the interval:

a=6

1) Given that we have M (-2, a), N(0, -2), and the gradient -4. Let's start by applying the formula for the gradient.

G = (y_2 - y_1 ) / (x_2- x_1)

2) So "a", the second coordinate of point M is equal to 6, and as the gradient is a negative number indicates a "downhill" a decreasing direction of that line.

in the given image

m it is given that m

120 = 3x - 5 + 2x

120 = 5x - 5

5x = 120 + 5

x = 125/5

x = 25

so the value of x is 25

So, mm

m = 3 (25) - 5

= 75 - 5

mso, m

the, sum of the angles

so,

120 + mmm

The option D that is "Renting a movie for $2 for the first day and $1 for each day after the first day" shows a proportional relationship as they are in proper ratio.

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportional relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

As they are in the right ratio, option D, "Renting a movie for $2 for the first day and $1 for each day after the first day," demonstrates a proportional relationship.

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In order to prove that two triangles are congruent using the ASA theorem, it is necessary to show two pairs of congruent angles and one pair of congruent sides of the triangles.

In the given diagram, there is already a pair of congruent triangles and a pair of congruent sides shown.

Then, in order to use the ASA theorem, we need to prove that there is another pair of congruent angles, one from each triangle.

Since the side VX must be adjacent to both angles involved in the procedure, then we need to show that the angle VXW is congruent to the angle YXZ, which is adjacent to the side YX.

This can be proven using the fact that VXW and YXZ are vertical angles.

Therefore, the necessary step in Johnny's proof is shown in option D)

For a given function  f(x) = x² + 3x - 2, f(a) is a² + 3a - 2 and f(x - 1) = x² + x - 4

Given,

The function f(x) = x² + 3x - 2

We have to find f(a) and domain f(x - 1)

Here,

f(x) = x² + 3x - 2

Then,

f(a) = a² + 3a - 2

Now,

f(x - 1) = (x - 1)² + 3(x - 1) - 2

f(x - 1) = x² - 2x + 1 + 3x - 3 - 2

f(x - 1) = x² + x - 4

That is,

For a given function  f(x) = x² + 3x - 2, f(a) is a² + 3a - 2 and f(x - 1) = x² + x - 4

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We want to calculate the probability of this event A: "the outcome is less than 8". To calculate this probability, we should first note that we have a total of 9 outcomes. So, we will first identify out of this outcomes cause the event A to happen.

Since the event A is saying that the outcome is less than 8, then the outcomes that would make the event A to happen would be the numbers from 1 to 7. However, to calculate this probabilty, we will use this property of probability.

Given an event A, we have the

30% are trout, 20% are bass, 10% are perch

what is the chance that one of the next 4 is a bass

20% are bass

100 - 20 = 80

0.8^4 = 0.4096

1 - 0.4096 = 0.5904

of the 20 simulation results, 12 had bass

12/20 = 0.6

B) 60% estimate

59.04% actual

Answer:

C. YW≅CE

Step-by-step explanation:

SSS is used when three pairs of sides are congruent. Two pairs of congruent sides are given. YW≅CE would be the third pair and therefore prove the triangles are congruent by SSS.

A polynomial has the following form:

Therefore, the function is a polynomial

Answer:

It is a polynomial of degree 3.

The standard form of a 3rd degree polynomial is given by:

So:

The polynomial in standard form is:

With the leading term x³ and the constant 0.

The value of letter y in this problem is y = 6x / -14

The equation says that 6x + 14y

To solve the equation that we have here, we would have to equate to 0

such that we would have the equation as  6x + 14y = 0

6x + 14y = 0

then we would have

6x = - 14y

remember that when positives crosses over we would have it turn as negative.

Next we would have to divide through by - 14 in order to get the value of y

hence we would have

-14y / -14 = 6x / -14

then we would have y as

y = 6x / -14

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Answer:

Step-by-step explanation:

1) -0.6 = -6/10

           = -3/5

2) -0.6*-2/5  = (-3/5)*(-2/5)

                     =(-3*-2)/(5*5)

it is given that,

the height of the wedge is h = 18 in

the area of the wedge is A = 90 square in.

we know that the area of a triangle is

A = 1/2 x base x height

put values,

90 = 1/2 x base x 18

90/18 = 1/2 x base

5 = 1/2 x base

base = 5 x 2

base = 10 inches,

thus, the base of the wedge is 10 inches,

Sarah bought 8 first class tickets and she buy 2 coach ticket .

In the question ,

it is given that

total number of people including Sarah = 10 people .

let the number of first class ticket = f

let the number of coach tickets = c

So , the equation is f + c = 10

f = 10 - c

the cost for first class tickets = $240

the cost for "f" first class tickets = 240f

the cost for coach tickets = $1040

the cost for "c" coach tickets = 1040c

total budget is $4000  .

So , the equation is 240f + 1040c = 4000

On substituting f = 10 - c , we get

240(10 - c) + 1040c = 4000

2400 - 240c + 1040c = 4000

1040c - 240c = 4000 - 2400

800c = 1600

c = 1600/800

c = 2

and f = 10 - 2 = 8 .

Therefore , Sarah but 8 first class tickets and she buy 2 coach ticket .

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Given a figure to find the area of the figure.

The given figure is the combination of two triangles and a semi-circle.

Here the radius and the base of the triangle is 10 yd and the height of the triangle is 21 yd. So, the area of the figure is;

Thus, the area of the figure is 367 yd^2.

We are asked to find 150% of 38

Step 1:

Convert the 150% to decimal by removing the % sign which means dividing by 100.

150/100 = 1.5

Step 2:

Now simply multiply the decimal percentage with the number 38

1.5×38 = 57

Therefore, 150% of 38 is found to be 57

We can calculate a percent change by calculating the difference between the actual state and the previous state and then dividing this difference by the previuos state.

Finally, multypling by 100% gives the percentage change.

Here we have the last state as the future population (4823 thousand people). The actual state (in this case the state to which wew want to compare the variation ir change) is 5700 thousand people.

The difference is 4823 - 5700 = -877.

Then, we can divide it by the actual population and we will have:

This is equivalent to:

If we have to round to nearest tenth, the percent change is 15.4%.

ANSWER

30 + 15x = 180

EXPLANATION

We have that Gary has read 30 pages of his book.

He wants to read 15 pages every day till he finishes the 180 pages.

Let the number of days it will take him be x.

This means that after reading 15 pages for x days, he will have read:

15 * x = 15x

Therefore, the total number of pages he will have read (180) will be:

30 + 15x = 180

That is the equation that represents the situation.

we know that

For 2 dozen cookies

we need

1 1/3 cups of sugar

3/4 teaspoon of salt

1 1/4 cups of raisins

To convert 2 dozens to 3 dozens------> multiply by 3/2

but first convert mixed number to improper fractions

1 1/3=1+1/3=4/3 ----> multiply by 3/2

(4/3)*(3/2)=2 cups of sugar

3/4*(3/2)=9/8 ----> convert to mixed number

9/8=8/8+1/8=1 1/8 teaspoon of salt

1 1/4=1+1/4=5/4

5/4*(3/2)=15/8

15/8=8/8+7/8=1 7/8 cups of raisins

SOLUTION

In a box and whisker plot, the firt dot on the box is Q1

The second dot on the box is Q2

The third dot on the box is Q3

Q2 is the median

From what we see,

Hence the answer is 25, option D

It is given that she produce print of her photos at a cost of 4 dollar per print and a setup cost of 45 dollar per run.

Let the number of photos produced be x.

Then the equation formed is

The sellling cost given is the unnecessary data given in the question.

The total cost is determined by only the setup cost and cost produce per prints.

The graph formed for the total cost and number of photos produced is

X-axis represent the number of photos produced and Y-axis represent the total cost.

The compound ineqality which the number line represents will be 5x ≥ -15 or 5x ≤ 10 so option (B) must be correct.

What is inequality?

In option (B) given that

5x ≥ -15

⇒ x ≥ -15/5

⇒ x ≥ -3

And

5x ≤ 10

⇒ x ≤ 10/5

⇒ x ≤ 2

By looking at the number line it is clear that the blue line is greater than -3 and less than 2 hence it will be correct.

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Notice that for the $6.40 package each battery costs:

For the $15.80 package each battery costs:

Therefore, the 20 count pack of AA batteries has a lower unit price of $0.79 per battery.

Answer: Last option.

before we can dtermone whether it is a function, there must be a relationship between X and y i.e they must have a constannt of proportionality as shown:

From the table:

when x = 9, y = 1

when x = 7, y = 2

when x = 5, y = 2

when x = 3, y = 3

when x = 1, y = 4

let us determine the constant of proportionality from the given values as shown:

k = y2-y1/x2-x1

when x = 9, y = 1

when x = 7, y = 2

k = 2-1/7-9

k = 1/-2

k = -1/2

Also

when x = 5, y = 2

when x = 3, y = 3

k = 3-2/3-5

k = 1/-2

k = -1/2

Also;

when x = 5, y = 2

when x = 3, y = 3

k = 3-2/3-5

k = 1/-2

k = -1/2

Since all the constant of proportionality are the same;

Hence y = kx

y = -1/2 x

This shows that the tabke is a function and X is directly proportional to y. hence the answer is YES, it is function

Let the output is y and the input is x, then

output is means y =

9 less than 5 times input means 9 less than 5x

Then

y = 5x - 9

SOLUTION

Incomplete question