8 7. In an experiment, the probability that event A occurs is the probability that event B occurs is, and 9' 8 5 the probability that events A and B both occur is - 6. What is the probability that A occurs given that B occurs? Simplify any fractions.

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

5/6

Step-by-step explanation:

bro ok this it ok okik

Answer:

5/6

5 out of 6

Step-by-step explanation:

Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours

This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.

Let's assume that Sarah worked x hours.

Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.

Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.

Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.

The total number of shirts ironed by both Sarah and Penelope is 475 shirts.

So, we can write the equation: 30x + (35/2)x = 475.

To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.

Now, we can solve for x: x = (475 * 2) / 95 = 10.

Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.

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We have the following:

We must calculate the solution since that is the point of intersection.

we equalize the equations and we have:

for y:

The point is (1, -1)

Therefore, the answer is the graph A.

Answer:

x = 10 or x = 2

Step-by-step explanation:

Solve for x:

x^2 - 12 x + 20 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 20 from both sides:

x^2 - 12 x = -20

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 36 to both sides:

x^2 - 12 x + 36 = 16

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 6)^2 = 16

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 6 = 4 or x - 6 = -4

Hint: | Look at the first equation: Solve for x.

Add 6 to both sides:

x = 10 or x - 6 = -4

Hint: | Look at the second equation: Solve for x.

Add 6 to both sides:

Answer: x = 10 or x = 2

Answer:

240 million

Step-by-step explanation:

I took the application

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

A would be the answer this is because we need to fit 125 book in shelves that fit 25 books so it would be division

Answer: the answer would be a

Step-by-step explanation:

Answer:

48 cm²

Explanation:

First, we find the length of HP in the right triangle HPQ using the Pythagorean Theorem.

Therefore:

• The height of the parallelogram, HP = 8cm

• The base of the parallelogram, PQ = 6m

The area of a parallelogram is calculated using the formula:

Substitute the values given above:

The area of the parallelogram is 48 cm².

Answer:

The predicted price of a 9 room house is $925.3 K.

Step-by-step explanation:

The regression equation for predicting the appraised value (in thousands of dollars) from the  number of rooms for houses in East Meadow, New York is as follows:

\(\text{Value}=748+19.7\ \text{Rooms}\)

Compute the price of a 9 room house as follows:

\(\text{Value}=748+19.7\ \text{Rooms}\)

         \(=748+(19.7\times 9)\\\\=748+177.3\\\\=925.3\)

Thus, the predicted price of a 9 room house is $925.3 K.

The price of a 9-room house is (c) $252.262

The regression equation is given as:

\(\mathbf{y = 74.8 + 19.7 \times rooms}\)

For a 9-room house, we have:

Rooms = 9

Substitute 9 for rooms in the above regression equation

\(\mathbf{y = 74.8 + 19.7 \times 9}\)

Multiply

\(\mathbf{y = 74.8 + 177.3}\)

Add

\(\mathbf{y = 252.1}\)

The closest to this value is (c) $252.262

Hence, the price of a 9-room house is (c) $252.262

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Answer:

If this is asking for the set:

Z = {-3, -2, -1, 0, 1, 2, 3}

Step-by-step explanation:

Z is the set of all integers and it appears that you are being asked for the values in the set Z that are within the range:  -3 ≤x ≤ 3

The missing value 'x' in the two-way relative frequency table is 0.36.

To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.

Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.

First, let's calculate the relative frequencies for each category:

Likes hockey: The total count in this row is 12 + 18 = 30.

Relative frequency of "Likes hockey" = 12/30 = 0.4

Relative frequency of "Doesn't like hockey" = 18/30 = 0.6

Likes baseball: The total count in this column is 12 + 14 = 26.

Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615

Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385

To ensure that the relative frequencies add up to 1, we can set up the following equations:

0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)

0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)

Simplifying the equations, we have:

x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36

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The number of matches the team will need to win to have a 65% success rate is; 25

We are given;

Number of matches played by Lacrosse team this season = 35 matches

Number of matches won so far = 14 matches

Now, we want to know how many matches the team will need to win to have a 65% success rate.

Let the extra number of games played and won be x. Thus;

(14 + x)/(35 + x) = 65/100

(14 + x)/(35 + x) = 13/20

20(14 + x) = 13(35 + x)

280 + 20x = 455 + 13x

20x - 13x = 455 - 280

7x = 175

x = 175/7

x = 25

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Answer:

60cm

24.84 ft

Step-by-step explanation:

First one:

think that you are moving right small triangle to the left

which makes it 12 x 5 rectangle = 60cm

Second one:

Kind of same way

which makes it 10.8 x 2.3 = 24.84

pls thanks and brainest

Answer:

3/5

The nth term of an AP = a + d(n -1)

By the looks of it, the next term in the sequence is the 4th term.

a = 9/10

d = 4/5 - 9/10 = -1/10

9/10 - 1/10(4 - 1) = 9/10 - 1/10(3)

9/10 - 3/10 = 6/10

3/5

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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The rectangular coordinates for the given point are.

x = cos(60°) = 1/2

y = sin(60°) = √3/2

For a polar point (R, θ), the rectangular coordinates are:

x = R*cos(θ)

y = R*sin(θ)

Here we have the unit circle, so R = 1.

And we can see that θ = 60°

Then the coordinates are:

x = cos(60°) = 1/2

y = sin(60°) = √3/2

These are the coordinates.

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Answer: x = 5, y = 2

Step-by-step explanation:

To solve the system of linear equations using the elimination method, we'll eliminate one variable by adding the two equations together. Let's start:

Original equations:

-5x + 3y = -19

-x - 3y = -11

Adding the two equations eliminates the variable "y":

(-5x + 3y) + (-x - 3y) = -19 + (-11)

-5x + 3y - x - 3y = -19 - 11

-6x = -30

Dividing both sides of the equation by -6:

-6x / -6 = -30 / -6

x = 5

Now that we have the value of x, we can substitute it back into one of the original equations to find y. Let's use the second equation:

-x - 3y = -11

-5 - 3y = -11

Simplifying the equation:

-3y = -11 + 5

-3y = -6

Dividing both sides of the equation by -3:

-3y / -3 = -6 / -3

y = 2

Therefore, the solution to the system of equations is x = 5 and y = 2.

Answer:

$7.35

Step-by-step explanation:

To find the answer to this question, you would need to multiply 15 times .49 which would equal 7.35

Answer:

Its a and c

Step-by-step explanation:

Did it and got it right

The equivalent expression to 6 + (-x) + 2x + (-7) is x - 1

Given expression

6 + (-x) + 2x + (-7)

= 6 - x + 2x - 7

= x - 1

Options

= 3x - 1

= 3x + 2

= 3x - 1

True

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The value of n from the given statement is 18

Let's begin by translating the given statement into an equation:

Half of a number n plus 15 equals 24.

We can write this as:

0.5n + 15 = 24

To solve for n, we can isolate n on one side of the equation by subtracting 15 from both sides:

0.5n + 15 - 15 = 24 - 15

Simplifying:

0.5n = 9

Finally, we can solve for n by multiplying both sides by 2:

n = 2 x 9

Simplifying:

n = 18

Therefore, the value of the number n is 18.

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The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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The value of the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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

\(\sqrt[4]{a}^3\)

Consider an expression expressed as xⁿ

The expression can be expanded as

xⁿ = x * x * x .... in n places

Using the above as a guide, we have the following:

\(\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}\)

Apply the exponent rule of indices

\(\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14\)

Apply the power rule of indices

\(\sqrt[4]{a}^3 = a^\frac34\)

Hence, the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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Answer:

10 +11 + 12

Step-by-step explanation:

We know this because 10 + 11 +12 equals 33

The equation of a line in slope intercept form is given by:

y = mx + c

The equation 15x - 9y = -9 of a line into slope-intercept form after simplifying all fractions is y = (5/3)x + 1

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

y = 2x - 3

y = 3x + 4

We have,

15x - 9y = -9

We will rewrite in the slope-intercept form of y = mx + c.

15x - 9y = -9

Subtract 15x on both sides.

-9y = -9 - 15x

-9y = -15x - 9

Divide both sides by -9.

y = (-15x - 9) / -9

y = (15/9)x + 1

y = (5/3)x + 1

Slope = m = 5/3

y-intercept = 1

This is in the slope-intercept form of y = mx + c.

Thus,

The equation 15x - 9y = -9 of a line into slope-intercept form after simplifying all fractions is

y = (5/3)x + 1

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Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).