A test consists of 100 multiple choice questions, each with five possible
answers, only one of which is correct. A student randomly guesses at all
100 questions.
Use the Mean And Standard deviation to determine how many questions correct we could usually expect from a student who randomly guesses at all 100 questions.

Applying the segment addition postulate:

x = 2.75

AB = 6x = 6(2.75) = 16.5 units

BC = 8x + 1/4 = 8(2.75) + 1/4 = 22.25 units.

Based on the segment addition postulate, since B lies between points A and C on a line segment, then:

AB + BC = AC

AC = 38 3/4

AB = 6x

BC = 8x + 1/4

Substitute

6x + 8x + 1/4 = 38 3/4 [segment addition postulate]

14x + 1/4 = 155/4

14x = 155/4 - 1/4

14x = (155 - 1)/4

14x = 154/4

14x × 4 = 154

56x = 154

x = 154/56

x = 2.75

AB = 6x = 6(2.75) = 16.5 units

BC = 8x + 1/4 = 8(2.75) + 1/4 = 22.25 units.

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The  three equations with solution x=-5 Are as follows:

25 + x = 15 ............... equation 1.

7x = -35 .......................equation 2.

15 + x = 10 ..................equation 3

There is not more then one or two variables in a linear equation. In a linear equation, no variable is raised to a power larger than one or utilized as the denominator of a fraction. When you locate two values that satisfy a linear equation and display them on a coordinate grid, every one of the points falls on the same line.

A linear equation in one variable seems to be an equation that has just one solution and is stated in the form ax+b = 0, where a but instead b are two integers and x is a variable. 2x+3=8, for example, is a mathematical expression with a single variable.

x=-5 Given

This also can be written as :

25 + x = 15 ............... equation 1.

7x = -35 .......................equation 2.

15 + x = 10 ..................equation 3

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The volume of the prism with length as 9 feet will be 9 w h where w is the width and h is the height of the prism.

We are given a prism.

It is a rectangular prism.

We are also given that it if 9 feet.

We need to find the volume of this rectangular prism.

V = w × h × l

where

w = width of the prism

h = height of the prism

l = length of the prism

Now, we are given that l = 9 feet

So, V = w × h × l

V = 9 w h

Therefore, we get that the volume of the prism with length as 9 feet will be 9 w h where w is the width and h is the height of the prism.

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The smaller number is 4 and the larger number is 10.

Given that, the sum of the two numbers is 14.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that,  x represents the smaller of the two numbers.

Then the larger number is

The sum of twice the smaller number and two more than the larger number = 2x+2

Now, x+2x+2=14

⇒3x+2=14

⇒3x=12

⇒x=4

So, 2x+2=10

Therefore, the smaller number is 4 and the larger number is 10.

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The slope of the side connecting (-4,1) and (-6,5) = -2

The slope of the side connecting (1,2) and (-1,6) = -2

The slope of the segment joining two points (x₁, y₁) and (x₂, y₂) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We have to find the slope of the side joining the points (x₁, y₁) = (-4,1) and (x₂, y₂) = (-6,5)

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

          = [tex]\frac{5-1}{-6--4}[/tex]

          = 4/ -2

          = -2

We have to find the slope of the side joining the points (x₁, y₁) = (1, 2) and (x₂, y₂) = (-1,6)

Slope =  [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

          = [tex]\frac{6-2}{-1-1}[/tex]

          = 4/-2

          = -2

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Answer:

Yes

Step-by-step explanation:

8÷10+7÷100=

8/10 + 7/100=

80/100 + 7/100=     ==> make the denominators equal to each other

(80+7)/100=

87/100=0.87 √

Answer:

yes it does

Step-by-step explanation:

8÷10=0.8

7÷100=0.07

0.8+0.07=0.87

or the easy way ig

8÷10+7÷100=0.87

Thomas bought 6 glass cups and 6 plastic cups

Thomas bought 12 glass and plastic cups from the store

Glass cups costs $3.25

Plastic cups cost $2.75

He spent a total of $36

Let g represent the number of glass cups and p represent the number of plastic cups

g + p= 12.........equation 1

3.25g + 2.75p= 36..........equation 2

From equation 1

g+p= 12

g= 12-p2

Substitute 12-p for g in equation 2

3.25(12-p)+2.75p = 36

39-3.25p+2.75p= 36

39-0.5p= 36

-0.5p= 36-39

-0.5p= -3

p= -3/-0.5

p= 6

Substitute 6 for p in equation 1

g + 6= 12

g= 12-6

g= 6

Hence there are 6 glass cups and 6 plastic cups

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Congruent segments are LK=MK, LK=7x-10, KN=x+3, MN=9x-11, and KJ=28,  the LJ  will be-

LJ = 18 + 28 = 46

LJ = 18 + 28 = 46

These are  Congruent segments

Let J, K, L, M, N are points on the same line.

MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14

As LK = MK and LK = 7x - 10, then

7x - 10 = 8x - 14

8x - 7x = -10 + 14

x = 4

LJ = MK + KJ

MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18

LJ = 18 + 28 = 46

Congruent segments are segments which have the equal length. ≅ points that lie at the equal line are called collinear.

A theorem is a mathematical assertion that can be proved. The midpoint of a phase is a point that divides the phase into two congruent segments

If three or more points lie on a single straight line, they are said to be collinear. An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two points determine a line, two points are trivially collinear.

Two line segments are congruent if they have the same length. They do not need to have the same position or orientation

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Answer:

Parker's unit rate is 5 miles per hour or 5mph.

Step-by-step explanation:

1 hour = 60 minutes

60/20 = 3 minutes

3 minutes for 1 lap

1 lap = 1/4 mile

1/4 mile (1 lap) x 4 laps = 1 mile

4 laps =  12 minutes

12 minutes per mile

60/12 = 5

5 miles per hour

Answer:-2,2.5,-7/3

Step-by-step explanation:

Using a system of equations, it is found that she invested 318.71 into Fund B.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

The amount she invested in Fund A was 3 times as much as the amount she invested in Fund B, hence:

x = 3y.

Fund A returned a 6% profit and Fund B returned a 15% profit, and the total profit was of 1380, hence:

1.06x + 1.15y = 1380.

We have that x = 3y, hence:

1.06(3y) + 1.15y = 1380.

4.33y = 1380

y = 1380/4.33

y = 318.71.

She invested 318.71 into Fund B.

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Answer:

I think it's a (16cm) ....

Answer:

3x+5y=15

Step-by-step explanation:

3x+5y=15

5y=-3x-15

y=-3/5x-3

Because it has the same slope and a different y-intercept, it is parallel because the lines won't ever touch.

By joining the entry point of all three friends to form a triangle and then finding the centroid of this triangle , they can calculate the required point.

If Lisa, Bree, and Caleb are meeting at an amusement park and  each enter at a different gate as shown in reference picture attached hereby, the friends could calculate the point that is equidistant from all three gates by the equation [(Distance between gate 1 and gate 2) = (Distance between gate 2 and gate 3) = (Distance between gate 1 and gate 3)]

As per question statement, Lisa, Bree, and Caleb are meeting at an amusement park and  each enter at a different gate as shown in reference picture attached hereby.

We are required to determine to calculate the point that is equidistant from all three gates.

The required equation goes as  [(Distance between gate 1 and gate 2) = (Distance between gate 2 and gate 3) = (Distance between gate 1 and gate 3)],

Where, they will have to use the distance formula to find the distances in between which goes as [tex]D=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2} }[/tex], in the above mentioned equation.

Complete question: Lisa, Bree, and Caleb are meeting at an amusement park. They each enter at a different gate. On this diagram of the park, explain how the friends could calculate the point that is equidistant from all three gates.

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If Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The amount he can expect to bring home in his first paycheck is: $321.64.

Total hours=18 hours+25 hours

Total hours=43 hours

Income tax=Federal income tax+ State income tax

Income tax=10%+2%

Income tax=12%

Hence,
First paycheck:

First paycheck=$8.50×43 hours×(1-12%)

First paycheck=$8.50×43 hours×0.88

First paycheck=$321.64

Therefore if Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The amount he can expect to bring home in his first paycheck is: $321.64.

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The number of standard version download and high-quality download is 870 and 490 respectively.

let

x + y = 1360

2.9x + 4.1y = 4532

From (1)

x = 1360 - y

Substitute x = 1360 - y into (2)

2.9x + 4.1y = 4532

2.9(1360 - y) + 4.1y = 4532

3944 - 2.9y + 4.1y = 4532

- 2.9y + 4.1y = 4532 - 3944

1.2y = 588

y = 588/1.2

y = 490

Substitute y = 490 into (1)

x + y = 1360

x + 490 = 1360

x = 1360 - 490

x = 870

So therefore, number of standard version download and high-quality download is 870 and 490 respectively.

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Answer:

10 for each

Step-by-step explanation:

1.90 x 10 = 19

2.10 x 10 = 21

so 19 + 21 = 30

Answer:

theres no picture

Answer:

0.65

Step-by-step explanation:

Answer:

Area=2044..... perimeter=221

Step-by-step explanation:

Step1:- Area =1/2×breath×height

1/2×73×56

1/2×4088

= 2044

Area =2044cm^2

Step2:- Perimeter= a+b+c

=73+56+92

=221

Perimeter=221cm

To find the reflection of ΔABC in the x-axis, the points would move as follows:

Using the original coordinates, Δ A'B'C' is a reflection of Δ ABC in the line?

The triangles are?

The line of reflection Michael used is?

Reflection as used in geometry is the representation of an image in the mirror image copy. Reflection is done with respect to a line called line of reflection. Images formed are of equal distant to the line of reflection and the images are usually congruent.

Reflection as represented on a graph is most times in x axis or y axis. This axis shows the location of the line of reflection and it is very important when determining the position of the reflected image.

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The correct option regarding the operations with scientific notation is given as follows:

B) Because numbers written in scientific notation have exponents, you can use the Laws of Exponents to multiply or divide the numbers.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

An example of a multiplication in scientific notation is:

[tex]2 \times 10^3 \times 3 \times 10^5 = 6 \times 10^{3 + 5} = 6 \times 10^8[/tex]

That is, we multiply the factors, and for the bases of 10, we keep the bases and add the exponents. In a division, we would divide the factors, and for the base of 10, we keep the base and subtract the exponents.

That is, since the numbers have exponents, rules of exponents are used for both multiplication and division, and option b is correct.

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Answer juvhfVO"zohgvjozi nandish pro nbhvmno

Answer:

35.90%

Step-by-step explanation:

First, subtract the new no with that of 1990

318-234= 84

percentage of increase will be given by;

84/234×100= 35.8974%

Answer:

-9 7/15

Step-by-step explanation:

I took the test lol. Also if your in advanced you should know this!

R= is incorrect

the answer is china :)