Find the value of r so the line that passes through each pair of points has the given slope.
Point 1:(-7,2)
Point 2:(-8,r)
m = -5

Answer:

The answer is C

Step-by-step explanation:

If you graph the points then it is clear that it is the answer because the point are directly across from each other horizontally.  

Therefore, the probability that at least one of the dice shows the number 2, given that the sum of the dice is 4, is 1 - (1/5) = 4/5, or 0.8, which is the probability that at least one of the two dice is a 2.

It is founded on the likelihood that something will occur. The rationale for probability is the central tenet of theoretical probability. For instance, there is a 12% chance that a coin will land on its head when flipped.

There are five possible ways to obtain a sum of 4 with two 6-sided dice: {(1,3),(2,2),(3,1),(2,1),(1,2)}.

Out of these five possible outcomes, there is only one outcome where neither of the dice show a 2, which is {(1,3)}.

Therefore, the probability that at least one of the dice shows the number 2, given that the sum of the dice is 4, is 1 - (1/5) = 4/5, or 0.8, which is the probability that at least one of the two dice is a 2.

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The probability that at least one of a pair of fair 6-sided dice shows the number 2, given that the sum of the dice is 4 is 1/3.

The measure of the likelihood or chance of an event occurring is known as Probability. It is a quantitative measure that ranges from 0 (indicating an impossible event) to 1 (indicating a certain event).

Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes in a given situation or experiment. Probability theory is a branch of mathematics that deals with the study of random events, and it is widely used in many fields such as statistics, physics, economics, finance, and more.

If the sum of the dice is 4, then the possible pairs are (1, 3), (2, 2), and (3, 1). Out of these three pairs, only one has at least one die showing the number 2, which is (2, 2).

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Answer:

you are correct

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Divide 104 by 2 to find out how many words per minute she can type. To check, divide 156 by 3 and you find the same answer.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

p=-6

Step-by-step explanation:

So we need to get p by its self so we have to to divide both sides to get the answer. 7p=-42 so p= -6 because we divided -42/7

Answer:

C

Step-by-step explanation:

As u can see I flipped the sign because both side was divided by a negative

Answer:

well its a triangle so

40 divide by 20 is 2

but you have to mutiply that 2 by 2

Step-by-step explanation:

4

9514 1404 393

Answer:

  $7.50

Step-by-step explanation:

Rounded to the nearest $10, the $49.35 bill becomes $50.

We can find 10% of that amount by moving the decimal point to the left. 10% of $50 is $5.00.

Then 5% of $50 is half of 10%, so is $5/2 = $2.50.

The estimated tip of 15% is the sum of 10% and 5% of the bill, so is ...

  15%($50) = 10%($50) +5%($50) = $5.00 +2.50 = $7.50

The estimated 15% tip is $7.50.

Answer:

what's are the graphs??

Mrs. Bright has worked for 8 years, and Mr. Oswald has already worked for 24 years, which is more than Twice the number of years Mrs. Bright has worked.

The number of years Mrs. Bright has worked for the company. We know that Mr. Oswald has been in the company for 24 years, which is three times the number of years Mrs. Bright has worked.

So, Mrs. Bright has worked for 24 / 3 = 8 years in the company.

Now, let's find the number of years Mr. Oswald needs to work for the company to make it twice the number of years Mrs. Bright has worked.

Twice the number of years Mrs. Bright has worked is 2 * 8 = 16 years.

Since Mr. Oswald is already employed for 24 years, we need to find the additional years he needs to work to reach 16 more years.

16 more years - 24 years = -8 years.

The result of -8 years indicates that Mr. Oswald has already worked for more than twice the number of years Mrs. Bright has worked. Therefore, it is not possible for Mr. Oswald to work for more years in order to make it twice the number of years Mrs. Bright has worked.

Mrs. Bright has worked for 8 years, and Mr. Oswald has already worked for 24 years, which is more than twice the number of years Mrs. Bright has worked.

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Answer:

There are a total of 25 marbles in the bag.

The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.

Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.

The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.

To find the probability of both events occurring together, we multiply their individual probabilities:

8/25 x 1/8 = 1/25

Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.

Given :

b)

The supplementary angles are (a) >AFC and >CFB

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The figure

As a general rule, supplementary angles are angles that add up to 180 degrees

From the attached figure, we have

AFC + CFB = 180 degrees

This means that these angles are supplementary angles

Hence, the supplementary angles are (a) >AFC and >CFB

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Answer:

the slope is -2/3x and the y intercept is 1

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

90 cupcakes

Step-by-step explanation:

So, to solve this question all we have to do is add the number of cupcakes that Dan brought and the number of cupcakes that his friend bought.

So the expression would look like this:

36 + 49 + 5 = 90

So, in conclusion, the bake sale had 90 cupcakes to sell

plz mark me brainliest if correct :)

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

The Triangle Proportionality Theorem, also known as the Side Splitter Theorem, states that if a line is parallel to one side of a triangle, then it divides the other two sides proportionally.

Triangle Proportionality Theorem:

To prove this theorem, we begin by drawing a ΔABC with a line DE parallel to side AB. We then draw lines BD and CE, which intersect the parallel line DE at points F and G, respectively. By the properties of parallel lines, we know that ∠ADE and ∠ABD are congruent, and ∠AED and ∠ADB are congruent. Similarly, ∠CDE and ∠BDC are congruent, and ∠CED and ∠DCB are congruent.

We can then use the properties of similar triangles to show that ΔADE and ΔABC are similar, as are  ΔCDE and ΔACB. This means that the ratios of corresponding side lengths are equal:

BA/DE = CA/CE and CB/DE = AB/BD

We can then substitute CA - BA for CB in the first equation, and BD for AB in the second equation:

BA/DE = (CA - BA)/CE and CB/DE = BD/(CA - BA)

Cross-multiplying both equations, we obtain:

BA * CE = DE * (CA - BA) and CB * DE = BD * (CA - BA)

Adding the two equations, we get:

BA * CE + CB * DE = (DE + CE) * CA

Dividing both sides by CB * DE, we obtain:

BA/CB = (DE + CE)/CE * CA/DE = DE/CD

Thus, we have proven the Triangle Proportionality Theorem.

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Answer:

Step-by-step explanation:

78 cm

Answer:

33.8

Step-by-step explanation:

The product of 2 and -5 can be shown on a number line as a movement in the negative direction. To represent this on a number line, we start at zero and move 2 units to the right (in the positive direction) to the point labeled +2. Then, since the product is negative, we move 5 units to the left (in the negative direction) from the point +2. This brings us to the point labeled -3.

Start at zero on the number line.

Move 2 units to the right (in the positive direction) to the point labeled +2.

Since the product is negative, we need to move in the opposite direction (left) from the point +2.

Move 5 units to the left (in the negative direction) from the point +2.

The point we reach after moving 5 units to the left from the point +2 is labeled -3.

Therefore, on the number line, the product of 2 and -5 is represented by the point labeled -3. This indicates that starting from zero and moving 2 units to the right and then 5 units to the left results in a position of -3.

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The probable question could be:

How is the product of 2 and -5 shown on a number line?

The dimensions of the rectangle is 18 ft by 3.5 ft.

What is the dimension of a 2D objects?

Geometrically speaking, 2-dimensional shapes or objects are flat planar figures with two dimensions—length and width. Shapes that are two-dimensional, or 2-D, have only two faces and no thickness. Two-dimensional objects include a triangle, circle, rectangle, and square.

Assume that the width of the rectangle is w.

Given that, the length of a rectangle is 11 ft more than double the width.

The length of the rectangle is (2w + 11) ft.

The area of the rectangle is (2w + 11) w = 2w² + 11w.

Also given the area of the rectangle is 63 ft².

Therefore,

2w² + 11w = 63

2w² + 11w - 63 = 0

Now applying quadric formula:

w = (-11 ± √{(-11)² -(4 × 2 × (-63))})/(2 × 2)

w = -9, 3.5

Since the length of the rectangle can't be negative, thus w ≠ -9.

w = 3.5

The length of the rectangle is (2 × 3.5 + 11) = 18 ft.

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Answer:

390 calories

Step-by-step explanation;

18/3=6

130 x 3 = 390

Answer:

390

Step-by-step explanation:

You can set up a simple ratio, 130 is to 6 as x is to 18.  Notice how 6x3=18 so since you multiplied the 6 by 3, then multiply the 130 by 3, so 130 x 3 = 390 calories

Answer:

a. (0,1)

b. slope is -2

y-1=-2x

Step-by-step explanation:

Answer:

x = 49

Step-by-step explanation:

The sum of angles is 360

(x + 84) + 80 + 3x = 360

x + 3x = 360 - 84 - 80

4x = 196

x = 196/4 = 49

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Answer:

Step-by-step explanation: am sorry but I don’t know nothing

Answer:

c

Step-by-step explanation:

PLEASE GIVE BRANLIEST

Answer:

The polygon has 14 sides.

Explanation:

Given that the sum of the interior angles of the polygon is 2,160.

Recall that the sum of interior angles of a polygon can be calculated using the formula;

Substituting the value of T, to solve for n;

Therefore, the polygon has 14 sides.