Point A is located in which quadrant?





IV
III
I
II

Answer:

∠ABE = 33°

Step-by-step explanation:

        Angle bisector is a straight line that divides the angle into two congruent (equal) angles.

So, BE bisects the ∠ABD into two equal angles.

⇒∠ABE will be half of ∠ABD

∠ABD = ∠ABE + ∠BED

66°     = ∠ABE + ∠ABE

66      = 2∠ABE

∠ABE = 66/2

∠ABE = 33°

Answer:

3/8

Step-by-step explanation:

There are 8 equal slices so each slice is 1/8th of the whole pizza

1/8+1/8=2/8 he ate right away

2/8+1/8 for what he ate before going to sleep

2/8+1/8=3/8

Answer: [tex]\theta=\frac{8}{3} \text{ radians}[/tex]

Step-by-step explanation:

[tex]8=3\theta\\\\\theta=\frac{8}{3} \text{ radians}[/tex]

A conclusion which can be derived from these random samples is that: B. the students in grades 11 and 12 scored higher than the students in grades 9 and 10.

A median can be defined as the middle number (center) of a sorted data set, which is when the data set is arranged in from the greatest to least or the least to greatest.

In Mathematics, the median of a data set is generally considered to be a better measure of center than the mean when there's an outlier in the data set.

Based on the information provided for these samples, we can logically conclude that the students in grades 11 and 12 scored higher than the students in grades 9 and 10 because a median score of 86 is greater than a median score of 79.

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Answer:

x = -9, y = 8

or,

(-9, 8)

Explanation:

Equation 1: 2x + 3y = 6

Equation 2: 4x - y = -44

To solve by substitution, make y subject for equation 2.

4x - y = -44

-y = -44 - 4x

y = 4x + 44

Substitute this y value into equation 1.

2x + 3(4x + 44) = 6

2x + 12x + 132 = 6

14x = 6 - 132

14x = -126

x = -9

Now, find y value:

y = 4x + 44

y = 4(-9) + 44

y = 8

To check for solution, insert x and y value in either equations.

2x + 3y = 6

insert values

2(-9) + 3(8) = 6

6 = 6

Hence, the solution is correct as both sides equal.

Therefore x = -9 and y = 8.

Substitution method

Equation (1) ——— 2x + 3y = 6

Equation (2) ——— 4x - y = -44

When using substitution method , make x the subject of equation (1).

2x + 3y = 6

2x = 6 - 3y

x = 3 - 3y/2

Substitute the value of x in equation (2) to find y.

4(3 - 3y/2) - y = -44

12 - 6y - y = -44

Subtract 12 from both sides.

12 - 12 - 7y = -44 - 12

-7y = -56

y = 8

Substitute the value of y in equation (1) to find x.

2x + 3y = 6

2x + 3(8) = 6

2x +24 = 6

Subtract 24 from both sides.

2x + 24 - 24= 6 - 24

2x = -18

x = -9

Therefore x = -9 and y = 8.

To check out the solution.

Equation (1) 2x + 3y = 6 , x = -9 , find y.

Substitute the value of x

2(-9) + 3y = 6

-18 + 3y = 6

Add 18 to both sides.

-18 + 18 + 3y = 6 + 18

3y = 24

y = 8

Substitute the value of y in equation (1) .

2x +3(8) = 6

2x + 24 = 6

Subtract 24 from both sides.

2x + 24 - 24 = 6 -24

2x = -18

x = -9

As you can see when you substitute the value of x and y in the equation(1) , you get the same value of x and y ,which is -9 and 8 respectively. So the solution is correct.

The mean of the distribution given is 0.569.

Given some distribution like under:

     x                           p(x)

     0                            0.650

     1                             0.216

     2                             0.087

     3                             0.026

     4                             0.014

      5                            0.009

We have to find the mean of the distribution.

Mean is the sum of numbers divided by the numbers which are taken into consideration. It is also known as average.

Mean=sum/n

To find the mean of distribution we have to find sum of x*p(x)

∑xp(x)=0*0.650+1*0.216+2*0.0087+3*0.026+4*0.014+5*0.009

=0+0.216+0.174+0.078+0.056+0.045

=0.569

Hence the mean of the distribution given in the question is 0.569.

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Distribution in the given question is wrong and the right question is as the right distribution is as under:

 x                           p(x)

     0                            0.650

     1                             0.216

     2                             0.087

     3                             0.026

     4                             0.014

     5                            0.009

The probability of catching a bass in the lake is given by:

Probability = probability 1 × probability 2

Since the forest ranger caught a fish from his prior fishing experience, we can infer that he has a probability of catching a bass in a lake:

Probability 1 = Number of fish caught/Number of tries

By using a special type of bait, he should calculate the probability of catching a fish as follows:

Probability 2 = Number of fish caught/Number of tries

Therefore, the probability of catching a bass in the lake is given by:

Probability = probability 1 × probability 2

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Based on the Roni using a lawn mower and Allie pushing one, Roni would be able to mow 0.71 of the field.

Assume that the part of the field that Roni would mow is x.

The relevant equation would be:

x/30 + x/75 = 1

5x/150 + 2x/150 = 1

7x / 150 = 1

x = 21.43

In 30 minutes, Roni would have mowed:

= 21.43 / 30

= 0.71

Full question is:

Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.

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The equation of the graph is [tex]f(x) = -\sqrt{x -2[/tex]

The graph is added as an attachment

The form of the graph is

[tex]f(x) = a\sqrt{x + b[/tex]

The graph passes through the points (2, 0) and (6, -2).

So, we have:

[tex]0 = a\sqrt{2 + b[/tex] and [tex]-2 = a\sqrt{6 + b[/tex]

Solve for b in [tex]0 = a\sqrt{2 + b[/tex]

Divide both sides by a

[tex]0 = \sqrt{2 + b[/tex]

Square both sides

0 = 2 + b

Subtract 2 from both sides

b = -2

Substitute b = -2 in [tex]-2 = a\sqrt{6 + b[/tex]

[tex]-2 = a\sqrt{6 -2[/tex]

[tex]-2 = a\sqrt{4[/tex]

Evaluate the square root

-2 = 2a

Divide by 2

a = -1

Substitute b = -2 and a = -1 in [tex]f(x) = a\sqrt{x + b[/tex]

[tex]f(x) = -\sqrt{x -2[/tex]

Hence, the equation of the graph is [tex]f(x) = -\sqrt{x -2[/tex]

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Answer:

13

Step-by-step explanation:

2(x-4+8)=34

x-4+8=17

x+4=17

x=13

Answer: The asymptote of g(x) is the asymptote of f(x) shifted three units down.

Step-by-step explanation:

Answer:

The asymptote of g(x) is the asymptote of f(x) shifted three units down.

Step-by-step explanation:

bc I said so

The equation that represents the situation is,

y = x + 15

Given Information

It is given  that the students complete a 15-point extra-credit assignment in order to raise their test scores.

The new test score is 15 more than the old test score.

We have to find an equation for this situation. A mathematical equation is a formula that uses the equals sign to connect two expressions in order to express their equality.

Forming Equation

Original Score = x

New Score = y ................... (1)

Thus, after the test, the score is raised by 15 points.

⇒ New score = x + 15 .................... (2)

The following equation can be deduced from (1) and (2)

y = x + 15

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Answer:

0.1363636... = 3/22

Step-by-step explanation:

Let x = 0.1363636...

           100x = 13.6363636...

  (-)            x =   0.1363636...

------------------------------------------

              99x = 13.5

x = 13.5/99

x = 135/990

x = 27/198

x = 9/66

x = 3/22

0.1363636... = 3/22

0.1363636... is not equal to 1/33.

1/33 = 0.030303...

Answer:

This has nothing to do with math

Step-by-step explanation:

I don't know what this even means

The commission rate exists at $8,493 with a rate of 9.5%.

Jorge earns 9% from all his sales, so his commission exists

89400 × 0.09 = $8046

Harris made $447 more than that, so his commission exists

8046 + 447 = $8493

To estimate his commission rate, we can utilize the subsequent equation

89400 × rate percentage = 8493

Rate percentage = 8493 / 89400

Rate percentage = 0.095

Rate percentage = 9.5%

So Harris' commission exists at $8,493 with a rate of 9.5%.

Therefore, the commission rate exists at $8,493 with a rate of 9.5%.

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The probability comes out to be 9/32.

Deducing Arrival Time Possibility

All the possible arrival times by Alice and Bob, in minutes after 5 PM, is constrained by the values of given values of x and y,

x = 0, y = 0, x = 60, y = 60.

Here, let the values of x represent how many minutes after 5 PM Alice arrives at the party.

Let the y values represent the time in minutes that Bob arrives at the party after 5 PM.

Calculating the Required Probability

The times that concern us, however, are obtained by the following probability function,

x + y ≤ 45.

And x = 0, y = 0, and x + y ≤ 45 define the constraints of this probability function. Thus the perimeter of such a graph will be given as,

(45² / 2) = 1012.5 square units

Since the total area of the various arrival times is 60 x 60, or 3600 square units, the probability that Alice and Bob will arrive together after 5 o'clock in the evening in less than 45 minutes is therefore = 1012.5 / 3600 = 9/32

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Answer:

D

Step-by-step explanation:

if you look the point on the y axis is -3 which is your starting point

in y=mx+b m is the slope

The measure of the indicated angle to the nearest degree is 47°.

Given the data in the question;

From trigonometric ratio, Cosθ = Adjacent / Hypotenuse

Cosθ = 36/53

θ = cos⁻¹( 36/53 )

θ = 47°

Therefore, the measure of the indicated angle to the nearest degree is 47°.

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Answer:

Step-by-step explanation:

Given : 10 seat in first row, and the seat will increase 1 by 1 as we go above.... (as we go to the next row) - total rows - 38

Solve ; 38 rows, 10 seat in first row, 1 seat increases each row....

Extra seats - 37,

So,

37 x 10 = 370

TOTAL SEATS = 370

Answer:

  1083 seats

Step-by-step explanation:

The number of seats is an arithmetic series with first term 10 and common difference 1. We want to find the sum of 38 terms of the series.

The sum of n terms of an arithmetic series with first term a1 and common difference d is given by the formula ...

  Sn = (2a1 +d(n -1))(n/2)

The sum of the series of interest is ...

  S38 = (2(10) +1(38 -1))(38/2)

The total number of seats in the theater can be found by evaluating the expression for S38:

  S38 = (20 +37)(19) = 57×19 = 1083

There are 1083 seats in the theater.

The area of the square will be 196cm².

It should be noted that the perimeter of a square is the addition of all its sides. Therefore, the length of the side will be:

= 56/4

= 14

Therefore, the area of the figure will be:

= 14²

= 14 × 14

= 196cm²

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The total earnings for the year is $18,900.

The total earnings is a sum of the annual salary, commission and Christmas bonus.

Commission = 6% x (160,000 - 20,000) =

6% x $140,000

0.06 x 140,000 =  $8,400

Total earnings =  $8,400 + 10,000 + $500 = $18,900

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Answer: Option (2)

Step-by-step explanation:

[tex]DE=\sqrt{(-a-b-0)^2 + (c-2c)^2}=\sqrt{(a+b)^2 + c^2}[/tex]

The necessary assumptions are to get the sample for random sampling and ensure they are normal.

b. The standard deviation is known hence we have to make use of the z distribution.

42.08 - 40 / (3.39 /√26)

= 2.08 / 0.6648

= 3.129

≈3.13

p value

p(Z > 3.13)

= 0.0008770

8.7e-4

d. Z critical value = 2.81

42.08 +- 2.81 * 3.39/√26

= 42.08 +- 2.81*0.6648

=  42.08 - 1.868, 42.08 + 1.868

= 40.212  ,43.948

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The range of values of y is -1.6 < y < 7

The complete question is added as an attachment

From the attached image, we have the following sides

4y + 15 and 5y + 8

Both sides must be greater than 0.

So, we have:

4y + 15 > 0 and 5y + 8 > 0

Rewrite as:

4y > -15 and 5y > - 8

Solve for y

y > -3.75 and y > -1.6

If y is less than -1.6, the side 5y + 8 would be negative.

So, we make use of the inequality y > -1.6 as one of the range

Also, 4y + 15 is greater than 5y + 8.

So, we have:

4y + 15 > 5y + 8

Evaluate the like terms

-y > -7

Divide by -1

y < 7

So, we have:

y > -1.6 and y < 7

Combine both inequalities

-1.6 < y < 7

Hence, the range of values of y is -1.6 < y < 7

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Josie has a total of 5 quarters.

Josie has 16 coins. Each of her coins is either a quarter or a dime.

Let

x = number of quarters

y = number of dime

she has 6 more dimes than quarters.

Therefore,

y = 6 + x

x + y = 16

-x + y = 6

2y = 22

y = 11

11 = 6 + x

x = 11 - 6

x = 5

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A variable that can only take on specific numeric values is called  A discrete random variable.

According to the statement

A variable which is used to select a specific numeric value and we have to find a those variable

A discrete random variable is one which may take on only a countable number of distinct values.

So, A variable that can only take on specific numeric values is called  A discrete random variable.

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Answer:

(–4, 5) and (–2, 1)

Step-by-step explanation:

Answer: A: (-4,-3) (-2,1)

Step-by-step explanation:

I got this correct on the test. Using the substitution method give brainliest

Answer:

C

Step-by-step explanation:

Distribute the negative, (2x^2 + 5) + (-4x+3)

Add like terms, 2x^2 - 4x +(5+3)

2x^2-4x+8

Step-by-step explanation:

Has greater balance = Heba

Has more debt = Nour

If you see any number or amount without a negative sign (-) then that number or amount is positive e.g 1, 2,3,4,5,6,11,14,17,20,100,8, $3, $15, $23 and so on..

Using the number line:

Heba has the greater account balance

Nour has the most debt.

A number line shows where a number lies according to the order. Values greater than 0 and are on the right side are greater than values and vice versa.

Given their balances, $29.17 is greater than -$11.99. Therefore, Heba has the greater account balance using the number line.

Since - indicates debt, Nour has the most debt.

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Answer: 6.1

Step-by-step explanation: