AB has endpoints A(0, -4) and B(8,-2). What is the slope-intercept form of the equation of the perpendicular bisector of AB? ​

Answer:

20 %

Step-by-step explanation:

15% of 20 is 3, and 3 is 20% of 15

The probability of spinning a number greater than 5 or not spinning an 8 on a spinner depends on the number of favorable outcomes and the total number of possible outcomes. In this case, the spinner has an equal chance of landing on any of the numbers 1 through 8.

The probability of spinning a number greater than 5 is 2/8 or 1/4, since there are two numbers (6 and 7) that are greater than 5, and there are eight possible outcomes in total. The probability of not spinning an 8 is 7/8, since there are seven numbers that are not 8, and again there are eight possible outcomes in total.

To find the probability of spinning a number greater than 5 or not spinning an 8, we need to add the probability of each event and subtract the probability of their intersection (spinning a number that is both greater than 5 and not 8, which in this case is just 6 and 7):

P(greater than 5 or not 8) = P(greater than 5) + P(not 8) - P(greater than 5 and 8)

P(greater than 5 or not 8) = 1/4 + 7/8 - 2/8

P(greater than 5 or not 8) = 7/8

Therefore, the probability of spinning a number greater than 5 or not spinning an 8 on a spinner is 7/8, or 0.875 as a decimal.

In summary, the probability of spinning a number greater than 5 or not spinning an 8 on a spinner is 7/8. This means that out of the eight possible outcomes, there are seven that meet the criteria of being greater than 5 or not being 8. The probability is found by adding the probabilities of each event and subtracting the probability of their intersection. In this case, the probability of spinning a number greater than 5 or not 8 is 1/4 + 7/8 - 2/8, which simplifies to 7/8.

To further explain, we can visualize the spinner as a circle divided into eight equal sections, with each section representing one possible outcome. Two of the sections, 6 and 7, are greater than 5, while seven of the sections are not 8. The probability of spinning a number greater than 5 is the number of favorable outcomes (2) divided by the total number of possible outcomes (8), which gives us 1/4. Similarly, the probability of not spinning an 8 is the number of favorable outcomes (7) divided by the total number of possible outcomes (8), which gives us 7/8. To find the probability of spinning a number greater than 5 or not spinning an 8, we need to add the probabilities of each event, but we also need to subtract the probability of their intersection (spinning a number that is both greater than 5 and not 8). This gives us a probability of 7/8, meaning that out of eight possible outcomes, seven meet the criteria of being greater than 5 or not being 8.

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Hey there! :)

Answer:

x = 65°

Step-by-step explanation:

Find the measure of the other two angles using the Supplementary Angles theorem:

180 - 105 = 75°

180 - 140 = 40°

The sum of all of the angles in a triangle is equal to 180°, therefore:

180 = 75 + 40 + x

180 = 115 + x

65 = x

x = 65°

Answer:

x = 65 is your answer but you should mark the person in front of me brainliest

Step-by-step explanation:

Answer:

1.75 is the answer

Step-by-step explanation:

because 4/4 is 1 And 3/4 is .75 and 1 + .75 is 1.75

Answer:

1.75

Step-by-step explanation:

Divide 4 into 7 to get 1.75

Answer:

3.66

Step-by-step explanation:

35÷9.55=3.66

The type of random variable in this scenario is a geometric random variable. Its parameter is the probability of failure for each integrated circuit being tested.

The type of random variable you're dealing with in this scenario, where you are testing integrated circuits in sequence until you find the first failure, is called a Geometric Random Variable. This type of random variable represents the number of trials needed for the first success (or failure, in this case) in a series of independent Bernoulli trials with the same probability of failure. The parameter for a Geometric Random Variable is the probability of failure, denoted as p. In summary, the type of random variable in this problem is a Geometric Random Variable, and its parameter is the probability of failure (p).

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Answer:

$9,291.36

Step-by-step explanation:

Based on the information provided in this question, since we know that the individual is not paying any interest the first two months since he made the minimum payments then we can go ahead and deduct the two payments of $271 from his initial balance

$9300 - $271 - $271 = $8,758

Now assuming that no other payments have been made since the question states that interest is added to the rest of the balance we can simply multiply the balance by 1.03 which is a 3% interest increase in decimal form.

$8758 * 1.03 = $9020.74  ... now multiply by 1.03 for the second month

$9020.74 * 1.03 = $9291.36

Therefore after 2 months, his credit card balance would be $9,291.36

Answer:

450 cupcakes

Step-by-step explanation:

Let x be the number of cupcakes sold for John's total pay to be the same for both companies

For the first company

Salary = $800/week

Commission is $0.30 per cupcake

For sales of x cupcakes, total commission = 0.30x

Total pay = Weekly salary + Total commission from sales

Total Pay = 800+ 0.3x

For the second company
Salary = 350 /week

Commission: $1.30 per cupcake

For sales of x cupcakes, total commission = 1.30x

Total Pay = Weekly salary + Total commission from sales

Total Pay = 350 + 1.3x

If both pay must be he same,
800 + 0.3x = 350 + 1.3x

800-350 = 1.3x - 0.3x

450 = 1x

x = 450 cupcakes ANSWER

Answer: 450

Step-by-step explanation:

    If we let x and y represent the number of cupcakes John sells and his total weekly income, respectively, we get the following system of equations.

=0.35x+845

=1.4x+372.5

​

Since both equations are solved for y​, any substitution for y​ will result in the following

211.4 x+372.5&=0.35

x+845

1.4x+372.5

​

=0.35x+845

​

Solving for x will give us the number of cupcakes John needs to sell weekly for each paycheck to be the same. Doing so, we get

1.4 x+372.5&=0.35     x+845

1.05 x&=472.5x=450

1.4x+372.5

1.05x

x

=0.35x+845

=472.5

=450

Therefore, John needs to sell 450450​ cupcakes each week for both salaries to be the same.

The second option shows a pair of triangles which are congruent by the SSS congruence theorem.

The SSS (Side - Side - Side) congruence theorem states that if two triangles have three sides that are congruent to each other, then the two triangles are congruent by the SSS theorem.

The congruent sides for the second option are given as follows:

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Answer:

62.79cm

Step-by-step explanation:

We are using TRIGONOMETRY. To find the area of a triangle with 2 lengths and a non-right angle, we will use the sine rule.

Area of Triangle = 1/2 * a * b * sin(c)

(Where a & b represent our lengths, and sin(c) represents our angle.)

Area of Triangle = 1/2 * 10 * 13 * sin(105)

Area of the Triangle = 62.79cm

Answer:

52.5

Step-by-step explanation:

median is where u find the middle number

put them in order first

24,28,51,54,67,70

its between 54 and 51

Answer:

slope = - \(\frac{5}{7}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 5, 1) and (x₂, y₂ ) = (2, - 4)

m = \(\frac{-4-1}{2-(-5)}\) = \(\frac{-5}{2+5}\) = \(\frac{-5}{7}\) = - \(\frac{5}{7}\)

Answer:

2652 is the correct answer

Answer:

C

Step-by-step explanation:

all x values is domain, all y values are range

Answer:

Its c

Step-by-step explanation:

Domain = x value

Range = y value

Answer:

x = 15

Step-by-step explanation:

-4(x - 4) = -44

-4x + 16 = -44

subtract 16 from each side of the equation:

-4x = -60

divide both sides by -4:

x = 15

Answer:

-15

Step-by-step explanation:

The variance of the length of the critical path is 5.76.

Option A is the correct answer.

We have,

To calculate the variance of the length of the critical path in the Critical Path Method (CPM) with three-time estimates (PERT), we can use the formula:

Variance = (Standard Deviation)²

Given that the standard deviation is 2.4, we can substitute it into the formula:

Variance = (2.4)² = 5.76

Therefore,

The variance of the length of the critical path is 5.76.

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The solution of (1/3x) -6 = -7 will be -1 / 3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (1/3x) -6 = -7. The expression will be solved as below:-

(1/3x) -6 = -7

1 / 3x = -7 + 6

1 / 3x = -1

x = -1 / 3

Hence, the solution of the expression for the value of x will be -1 / 3.

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Answer:

n = 24

Step-by-step explanation:

They are very similar actually! You would set up a like equation which would be 35/28 = 30/n

then you would cross multiply, which gives you 35n = 840.

you divide 35 on both sides and then you get

n=24 hope this helped!

here's the work I did, just incase you need reference! ( it was done on the table so its very blurry, sorry! )

The ordered pair (6,8) represents the number of calls made after the customer service center opened for 6 hours.

Given that the volume of calls, V( h), at a particular customer service center can be written as a function of the number of hours after opening each day, h. So, (6,8) means that the center has been opened for 6 hours and that there have been 8 calls during this period. It represents the value of the volume of calls V(6) which is 8. Therefore, after opening the customer service center for 6 hours, 8 calls were made.

This function has a direct relationship between the number of hours after opening the center and the number of calls made. Therefore, the longer the center is open, the more calls are expected to be received, and vice versa.

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The greatest common divisor (gcd) of 108 and 134 using Extended Euclidean Algorithm is 2 = s * 108 + t * 134.

The Extended Euclidean Algorithm is a method for finding the greatest common divisor (gcd) of two integers and expressing it as a linear combination of the two integers. The algorithm also finds the coefficients of this linear combination.

To find the gcd of 108 and 134, we can use the following steps:

Divide 134 by 108 and find the remainder: 134 = 108 * 1 + 26

Divide 108 by 26 and find the remainder: 108 = 26 * 4 + 4

Divide 26 by 4 and find the remainder: 26 = 4 * 6 + 2

Divide 4 by 2 and find the remainder: 4 = 2 * 2 + 0

Since the remainder is 0, the last divisor (2) is the gcd of 108 and 134.

To express the gcd as a linear combination of 108 and 134, we can use the coefficients obtained during the Extended Euclidean Algorithm. Starting from the bottom, we have:

4 = 26 - 4 * 6

2 = 26 - 4 * 6 - 2 * (108 - 4 * 26) = -1 * 108 + 5 * 26

1 = 108 - 4 * 26 = 108 - 4 * (134 - 108) = 5 * 108 - 4 * 134

Therefore, we can express the gcd of 108 and 134 as:

2 = (-1) * 108 + 5 * 26 = (-1) * 108 + 5 * (134 - 108)

or

2 = 5 * 108 - 4 * 134 = 5 * (108 - 134) - 6 * 134

Using any of the above expressions, we can write:

2 = s * 108 + t * 134

where s and t are the coefficients of 108 and 134, respectively. The values of s and t depend on the expression we choose.

For expression A, we have:

2 = (-1) * 108 + 5 * (134 - 108) = 5 * 134 - 6 * 108

Therefore, we have:

s = 25

t = -31

For expression B, we have:

2 = 5 * 108 - 4 * 134 = (-4) * 108 + 5 * 134

Therefore, we have:

s = -31

t = 25

For expression C, we have:

2 = 5 * (108 - 134) - 6 * 134 = (-31) * 108 + 22 * 134

Therefore, we have:

s = 22

t = -6

For expression D, we have:

2 = (-6) * 108 + 5 * (134 - 108) = (-6) * 108 + 5 * 26

Therefore, we have:

s = -6

t = 22

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Answer:

Factored Form: y=(x+1) ( x+3)y=(x+1)(x+3)

X-intercepts: (-1,0), (-3,0)(−1,0),(−3,0)

Axis of Symmetry: x= -2x=−2

Vertex: (-2,-1)(−2,−1)

Domain: (\begin{gathered}(-\infty , \infty ), ( x | x ER)\\\end{gathered}

(−∞,∞),(x∣xER)

Range: y > =-1y>=−1

Answer:

f(x) = 0.5x^3 + 2.5x^2 - 75x

Step-by-step explanation:

To write the equation of a polynomial with given x-intercepts and passing through a point, we can use the factored form of the polynomial:

f(x) = a(x - r1)(x - r2)(x - r3) ...

where r1, r2, r3, ... are the x-intercepts, and a is a constant that scales the polynomial vertically. Since the x-intercepts are 0, 10, and -15, we can write:

f(x) = a(x - 0)(x - 10)(x + 15)

Expanding this expression gives:

f(x) = a(x^3 + 5x^2 - 150x)

To find the value of a, we can use the fact that the polynomial passes through the point (2, -136):

-136 = a(2^3 + 5(2^2) - 150(2))

Simplifying this equation gives:

-136 = -272a

Dividing both sides by -880 gives:

a = 0.5

Therefore, the equation of the polynomial is:

f(x) = 0.5x^3 + 2.5x^2 - 75x

The two lines are parallel because both have equal slope.

What area parallel lines?

If two lines do not cross one another anywhere on the plane, they are considered to be parallel. All parallel lines are spaced equally apart from one another.

Numerous forms have parallel lines running along their edges. In the rectangle below, the single and double arrow lines, as well as their junction points, are parallel to one another. Additionally, it is possible to create both horizontal and vertical shapes.

Given : line 1  : y=5x+1

          line 2 :  2y-10x+3=0

                       2y = 10x - 3

We know that, parallel lines always have equal slope.

The slope can be found by using formula :

     coefficient of y / coefficient of x

So, here, line 1 has slope = 2/10 = 1/5

and, line 2 has slope = 1/5

So, both have same slopes hence, both are parallel lines.

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The relation 2 represents a function.

In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.

To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.

The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.

If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.

We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.

Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.

Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.

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Answer:

A

Step-by-step explanation:

given a quadratic function in standard form

y = ax² + bx + c (a ≠ 0 ) then the x- coordinate of the vertex is

x = - \(\frac{b}{2a}\)

y = 2x² + 8x + 1 ← is in standard form

with a = 2 , b = 8 , then

x = - \(\frac{8}{4}\) = - 2

substitute x = - 2 into the equation for corresponding y- coordinate

y = 2(- 2)² + 8(- 2) + 1 = 2(4) - 16 + 1 = 8 - 16 + 1 = - 7

vertex = (- 2, - 7 )

Step-by-step explanation:

The position of the median of an even data set is 1/2(8+1)=4.5

That is between two values, 4 and 5.

(5x-10+3x+30)/2=82

(8x+20)/2=82

(8x+20)=41

8x=41-20

8x=21

x=21/8

In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.

In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.

In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.

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9999999Answer:

Step-by-step explanation:

For the coins

P/s: I'm not sure

Ok done. Thank to me :>