what kind of triangle congruence would i put for the last reason?

We can find the unit price at the print shop by taking one point of the line and dividing its y-coordinate (price) by its x-coordinate (the number of pages printed).

For example, we can see that the line goes through the point (2,1), then we can take that point to calculate the price per page as mentioned, like this:

unit price = Total price/number of pages = 1$/2 = 0.5$

Then, the answer is 0.5$ per page (option D)

Given a table for the points scored on a test for a sample of 46 students.

The mean of data is

Here, the score of 9 students is given 90 each. So, the sum of scores of these 9 students is 810.

The score of 17 students is given 80 each. So, the sum of scores of these 17 students is 1360.

The score of 12 students is given 70 each. So, the sum of scores of these 12 students is 840.

The score of 8 students is given 60 each. So, the sum of scores of these 8 students is 480.

Now, the sum of scores of all 46 students is 3490.

So, the mean of the given data is calculated below:

Thus, the mean score is 75.9.

Answer:

=13v−67

Step-by-step explanation:

Let's simplify step-by-step.

9(2v−3)−5(v+8)

Distribute:

=(9)(2v)+(9)(−3)+(−5)(v)+(−5)(8)

=18v+−27+−5v+−40

Combine Like Terms:

=18v+−27+−5v+−40

=(18v+−5v)+(−27+−40)

=13v+−67

Answer:

95%: (3278.354 ; 3270.083)

99% : (3221.646 ; 3278.354)

Step-by-step explanation:

Given :

Sample size, n = 12

Mean, xbar = 3250

Sample standard deviation = √1000

The 95% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.05, df=12-1 = 11 ;

Tcritical at 95% = 2.20

Hence,

Margin of Error = (2.20 * √1000/√12) = 20.083

Confidence interval : 3250 ± 20.083

Lower boundary = 3250 - 20.083 = 3229.917

Upper boundary = 3250 + 20.083 = 3270.083

2.)

The 99% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.01, df=12-1 = 11 ;

Tcritical at 99% = 3.106

Hence,

Margin of Error = (3.106 * √1000/√12) = 28.354

Confidence interval : 3250 ± 28.354

Lower boundary = 3250 - 28.354 = 3221.646

Upper boundary = 3250 + 28.354 = 3278.354

The required answer for 25:4 and 45:10 as a complex fraction is 1/(4/25) and 1/(2/9).

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now given ratio are,

25:4 and 45:10

Now converting the given ratio into fraction,

25:4 = 25/4

and,

45:10 = 45/10

Now for 25/4 we have,

Numerator = 25

Denominator = 4

Now dividing numerator and denominator by 25 we get,

Numerator = 25/25 = 1

Denominator = 4/25

Thus, the complex fraction of 25/4 we get is,

25/4 = 1/(4/25)

Similarly for 45/10

Numerator = 45

Denominator = 10

Now dividing numerator and denominator by 45 we get,

Numerator = 45/45 = 1

Denominator = 10/45 = 2/9

Thus, the complex fraction of 25/4 we get is,

45/10 = 1/(2/9)

Thus, the required answer for 25:4 and 45:10 as a complex fraction is 1/(4/25) and 1/(2/9)

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the assumption being that he'll be deferring taxes on $2500 bucks, so is saving is that Da Tax Man is not going to bite him by 25% of that much.

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 2500}}{\left( \cfrac{25}{100} \right)2500}\implies \text{\LARGE 625}\)

Answer:

The rate of change is 28.

Step-by-step explanation:

The equation is in slope-intercept form,  y = mx + b, where m is the slope, and b is the y-intercept.

When it is known that a youngster did not sign up for arts and crafts, the likelihood that they did sign up for swimming increases. * The Probability that they didn't sign for Arts & Crafts is equal to 0.360*0.696, or 0.25056.

Probability is possibility of any random event's outcome. Estimating the likelihood that a given event will occur is meant by this term.

P(s) = 45/125 = 0.360

P(A&C) = 38/125 = 0.304

Probability that one is not Arts and Crafts = 1- P(A&C) = 1-0.304 = 0.696

When it is known that a youngster did not sign up for arts and crafts, the likelihood that they did sign up for swimming increases.

The Probability that they didn't sign for Arts & Crafts is equal to 0.360*0.696, or 0.25056.

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In simplest form, the average rate of change of the function over the interval 4 ≤ x ≤ 8 is 751.75.

To find the average rate of change of the function over the interval 4 ≤ x ≤ 8, we need to calculate the difference in function values and divide it by the difference in x-values.

The function values corresponding to the given x-values are as follows:

x f(x)

4 225

5 446

6 887

7 1616

8 3232

To calculate the average rate of change, we use the formula:

Average Rate of Change = (Change in f(x))/(Change in x)

The change in f(x) over the interval is f(8) - f(4) = 3232 - 225 = 3007.

The change in x over the interval is 8 - 4 = 4.

Therefore, the average rate of change is:

Average Rate of Change = 3007/4 = 751.75.

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Answer:

b = 59

Step-by-step explanation:

Angle b and 59 are vertical angles and vertical angles are equal

b = 59

Answer:

d) 189.3 in²

Step-by-step explanation:

Area of rectangle is,

→ w × l

→ 10 × 15

→ 150 in²

Area of semi circle is,

→ (1/2)πr²

→ (1/2) × 3.14 × (5)²

→ 1.57 × 25

→ 39.3 in²

Now the total area will be,

→ 150 + 39

→ 189.3 in²

Thus, total area is 189.3 in².

Answer:

Let M represent the amout at any time.

She saves $40 per week so total amount becomes 40x in any specified week.

where x is the number of weeks.

In the start she has $500 in her bank account so we 'll add this amount into the savings per week. So expression becomes

M = 40x+500

Simply put number of week in place of x and find the total amount.

Step-by-step explanation:

Answer:

for c it is no

Step-by-step explanation:

it is no because she deposits 40 a week, in 4 weeks she deposits 40x4=160, which is nowhere close to the 700 she needs. Even if you count the 500 in her account it is still no since it would total up to 660, not 700

The surface area of the interior of the box is the total area of the interior walls of the box.

This can be calculated by subtracting the area of the 5 unit square removed from the total area of the original 20 by 30 unit rectangular sheet of cardboard. This gives us an area of 450 units. To calculate the area of the interior walls, we need to multiply the length and width of the remaining rectangle. This gives us a length of 15 units and a width of 25 units, which gives us a total area of 375 units. Therefore, the surface area of the interior of the box is 375 square units. We can calculate this using the formula A = L x W, where A represents the area, L represents the length and W represents the width.

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The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Answer: The answer is 570.

Step-by-step explanation:

So, if you know what numbers are, when you round, this question is easy. If you take a number line and put 570 on the left side and 580 on the right side, and 575 in the middle, you almost got it. Since the number we want to round is 573, we put it in the middle of 570 and 575. And since the number is closer to 570 than 580, the answer is 570. Your welcome!

Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Bruce and Felicia would have a unique solution to the given equation. The value of x that satisfies the equation is 15.

To determine if the equation 6x + 2 = 5x + 17 has a unique solution, we need to check if the variable x has a consistent value that satisfies the equation.

By simplifying the equation, we can see that the equation becomes:

6x - 5x = 17 - 2

Simplifying further, we have:

x = 15

Since the variable x has a specific value, in this case, x = 15, the equation does have a unique solution. When x is substituted with 15 in the equation, both sides are equal.

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Answer:

2:3 hope it helps.

Step-by-step explanation:

9:4

This is the answer.....

The ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.

In the game of Lucky Lauto, the probability of winning is 0.008%, which means that the probability of losing is 100% - 0.008% = 99.992%. This is the complement of the probability of winning, as the two probabilities must add up to 100%.

The ratio of the number of ways to succeed to the total number of ways that an experiment can happen is given by the probability of success. In this case, the probability of winning is 0.008%, so the ratio of winning to the total number of possible outcomes is 0.008:100, or 1:12500.

Similarly, the ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.

In conclusion, the probability of losing in Lucky Lauto is 99.992%, and the ratio of losing to the total number of possible outcomes is 12499:12500.

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You can quickly calculate the radius of a cylinder using an online calculator.

What is the radius of a cylinder with a capacity of 100 cubic units and a height of 5 units?

Solution:

The radius of a cylinder (r) is equal to (V / h).

= √(100 / π × 5)

= 2.523 units

As a result, a cylinder's radius is 2.523 units.

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Answer:

Step-by-step explanation:

its a

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The vertical asymptote is a value of x at which the denominator of the function gives 0.

The vertical asymptote is a line on the graph that is not intersected by the curve of function at any point as at that value function is not defined.

So x = 2 is vertical asymptote only if denominator of function gives 0 for that value of x.

Answer:

option D is the correct option.

Please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment.

Answer:

21.5°

Step-by-step explanation:

a)

we have a linear function in this case the slope is equal to 1 therefore we have a line with a positive slope.

b)

when the function is constant we will have a horizontal line

c)

we have a quadratic function and because the quadratic term is positive the graph will be a parabola opening up

If Robert bought a used car for $10,332 with an added sales tax of 2.5%. Then the original price of the car would be around $10,080.

Option (B) is correct.

What is a percentage?

A percentage is a relative value that represents the hundredth part of any quantity. One percent (symbolized 1%) is the one-hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given amount.

Robert bought a used car for $10,332 with an added sales tax of 2.5%.

so the additional amount would be = 10,332 * 2.5%

                                                           = 10332 * 0.025

                                                           = $258.3

So the original price of the car would be = 10332 - 258.3

                                                                    ≈ $10,080.

Hence, If Robert bought a used car for $10,332 with an added sales tax of 2.5%. Then the original price of the car would be around $10,080.

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Answer:

29/4

Step-by-step explanation:

7 2/8

58/8=29/4

Answer:

29/4

Step-by-step explanation:

multiply 7 and 8 which is 56 then add 2 which will be 58 for the numerator, the denominator stays the same. 58/8 simplify by dividing 58 divided by 2 and 8 divided by 2 which will get u the answer as 29/4

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Answer:

Dear Laura Ramirez

Answer to your query is provided below

Option B is correct

Step-by-step explanation:

In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. 

Also,

By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.

Here, if you see( 16+24)>38

So, the set of numbers can be measures of a

triangle.

Circumference = 82.896 inches

Area = 547.1136 inches squared

Answer: y = 0

Step-by-step explanation:

A midline of a sinusoidal function is the horizontal center line about which the function oscillates above and below. For y = sin x, the midline is y = 0 (the x-axis). The midline is parallel to the x-axis and is located halfway between the graph's maximum and minimum values.