You have to match the column b letters with the column a graphs

We can do the following steps to solve the given expression for r.

Step 1: We divide by πh from both sides.

Step 2: We apply square root to both sides of the equation.

the probability is 7/15

Step-by-step explanation:

because there are 7 girls and 8 boys

Answer:

1. D

2. Is A $0.87 for each song

Step-by-step explanation:

12 x $0.87 = $10.44

$10.44 + $5.04 = $15.48

I hope this helped you

Answer:

j=-23

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

24 dividing by 3 equals 8.

The number of vanilla cupcakes at the party will be 8.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that at a party, the ratio of chocolate cupcakes to vanilla cupcakes is 4 to 3. If there are 24 chocolate cupcakes.

The number of cupcakes will be calculated as:-

4 / 3 = 24 / V

V = ( 24 x 3 ) / 4

V = 18

Hence, the quantity of vanilla cups is 18.

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The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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Answer:

4 L 600 mL

Step-by-step explanation:

1 L = 1000 mL

so 27 L 600 mL = 27000 + 600 = 27600 mL

27600/6 = 4600 mL

4 L 600 mL.

The translated coordinates of B is B'(97,69).

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Given, point B with coordinates (95, 71) is mapped onto B' through a translation by vector (2,-4).

That means, the translation is 2 units right and 4 units down.

A positive number means moving to the right and a negative number means moving to the left.

The number at the second term represents up and down movement. A positive number means moving up, and a negative number means moving down.

So, B (95, 71) → B' (95 + 2, 73 -4)

       B (95, 71) → B' (97, 69)

Therefore, the coordinates of B' is (97, 69).

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Let's investigate whether two pairs of corresponding angles in two triangles having equal angle measures is necessary and sufficient to prove that the triangles are similar.

Let's first create a random triangle ABC:

From triangle ABC, we have:

m∠ABC = 88 degrees

m∠CAB = 32 degrees

Apply the Triangle Angle Sum to find m∠ACB:

180 - 88 - 32 = 60 degrees

Hence, we have:

m∠ACB = 60 degrees.

Now, for triangle DEF, we have:

m∠DEF = 88 degrees

m∠FDE = 32 degrees

Also, the measure of angle EFD will be:

180 - 88 - 32 = 60 degrees

m∠EFD = 60 degrees

Part C.

We can see the corresponding angles of ∆DEF and ∆ABC are congruent, although the corresponding side lengths of not equal.

Part D.

We have the measures of the correspoding angles:

m∠ABC = m∠DEF = 88 degrees

m∠CAB = m∠FDE= 32 degrees

The angles we did not set in triangle DEF is:

m∠EFD = 60 degrees

Now, the corresponding angle to angle EFD is:

Angle ACB = 60 degrees.

Part E.

With the two angles, fixed, we can see that using the two angles fixed and completing the triangles, both triangles have similar shapes.

Part F. Since the corresponding angles of the triangles are congruent, the corresponding side lengths will be the proportion.

The ratios of the corresponding sides will be equal.

Part G:

Let:

AC = 8

AB = 6

BC = 4

DF = 4

DE = 3

EF = 2

Let's dilate using scale factor = 2

AC = 8 * 2 = 16

Ab = 6 * 2 = 12

BC = 4 * 2 = 8

Now, let's compare the corresponding sides:

We can see that after dilating ABC about the origin, the ratio of the corresponding sides are constant.

This means the corresponding sides of ABC and DEF are still in proportion.

Part H.

Based on their lengths and angle measures, we can say the triangles are Similar triangles.

Similar triangles have corresponding congruent angles and the corresponding sides are in proportion.

Part I.

The sequence of transformation that can be used here is the dilation, rotation, and translation.

Part J.

Both triangles are similar.

Part K.

Yes, knowing two pairs of corresponding angles are equal is enough to know to decide that two triangles are similar.

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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The average value of f is 16.25.

A contour line of a function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value. It is a plane section of the three-dimensional graph of the function f parallel to the-plane.

Given that, a contour map is shown for a function f on the square R = [0, 8] [0, 8].

Since the given square is 8 by 8 and we are using m=n=2, then each sub-rectangle is 4 by 4. So, the area of the given rectangle is 64 and the area of each sub-rectangle is 16, that is, ΔA=16

Furthermore, the centers of the sub-rectangles are (2,2),(2,6),(6,2),(6,6).

a) The estimated value of \(\int\limits\int\limits_R f{x} \, dA\)

=16⋅f(2,2)+16⋅f(2,6)+16⋅f(6,2)+16⋅f(6,6)

≈16⋅27+16⋅3+16⋅12+16⋅23

≈1040

b) The average value of f will be

\(f_{avg}=\frac{1}{A}.\int\limits\int\limits_R (x, y) \, dA\)

≈ 1/64 ×1040

≈ 16.25

Therefore, the average value of f is 16.25.

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There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5  number of wins. Causation cannot be established because their relationship was not in a controlled setting.

When if a relationship between two variables is said to be  negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.

Therefore, even though  the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.

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Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)

Answer:

A

Step-by-step explanation:

7 and -7 are the opposite on the number line

Answer:The probability of selecting 12 males is 7/ 1337220

Step-by-step explanation:

I searched it up and saw an answer not my work tho so here there https://brainly.com/question/17075596 for more information

Answer:  Approximately 0.00000005752462

There are seven "0"s between the decimal point and the "5".

Round that value however you need to.

If you need the exact answer as a fraction, then it would be \(\frac{1}{17,383,860}\) and you may need to delete the commas if necessary.

=========================================================

Explanation:

We use the nCr combination formula to determine how many ways there are to form a jury if we had n = 27 people and r = 12 slots.

\(n C r = \frac{n!}{r!(n-r)!}\\\\27 C 12 = \frac{27!}{12!*(27-12)!}\\\\27 C 12 = \frac{27!}{12!*15!}\\\\27 C 12 = \frac{27*26*25*24*23*22*21*20*19*18*17*16*15!}{12!*15!}\\\\ 27 C 12 = \frac{27*26*25*24*23*22*21*20*19*18*17*16}{12!}\\\\ 27 C 12 = \frac{27*26*25*24*23*22*21*20*19*18*17*16}{12*11*10*9*8*7*6*5*4*3*2*1}\\\\27 C 12 = \frac{8,326,896,754,176,000}{479,001,600}\\\\ 27 C 12 = 17,383,860\\\\\)

There are a little over 17 million ways to form the jury. This is where order doesn't matter because no juror outranks any other (and there aren't any special positions).

Since there are 12 men and 12 spots on the jury, there's only one way to have a jury of all men.

The probability of getting a jury of all men is roughly

\(\frac{1}{17,383,860} \approx 0.00000005752462\)

which is an incredibly small probability. There are seven "0"s between the decimal point and the "5"

According to the statement, the Ship must move at an average pace of 150 meters per hour.

The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.

The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.

Here,

Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.

Total distance walked = 2 [200 + 100 + 150] = 900 meter

Total time = 2 [1 + 1 + 1] = 6 hour

Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),

As a result, the needed Carissa average speed is 150 meters per hr.

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Answer:

Ram bought that motorcycle for Rs. 36000

Step-by-step explanation:

Given that:

Amount gained = 25%

Selling price of motorcycle = Rs. 45000

As 100% will be the original price, then 25% will be added into it.

125% will be the new percentage.

Let,

x be the original price of motorcycle.

125% of x = 45000

\(\frac{125}{100}x=45000\)

1.25x=45000

Dividing both sides by 1.25

\(\frac{1.25x}{1.25}=\frac{45000}{1.25}\\\)

x=36000

Hence,

Ram bought that motorcycle for Rs. 36000

Answer: y > 50 years.

Step-by-step explanation:

Let's describe how to use the inequality symbols.

a < b  (a is smaller than b)

a > b  (a is larger than b)

a ≤ b  (a is smaller than or equal to b)

a ≥ b  (a is larger than or equal to b)

In this case, y represents your age, and you need to be more than 50 years old to receive a discount.

Then we must have "y is larger than 50 years"

This is written as:

y > 50 years.

The predicted population in the year 2030 is 10 people

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

Population function, P(t)= 15е⁻⁰.⁰¹²⁺

Also from the question, we have

The variable t represents the number of years since 2020

This means that the value of t in 2030 is

t = 2030 - 2020

t = 10

So, we have

P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰

Evaluate the above products

P(10)= 15е⁻⁰.¹²

Evaluate the exponents

P(10)= 13.30

Approximate the above expression

P(10) = 13

This means that the number of people is 13

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Answer:

176 fluid ounces

Step-by-step explanation:

Answer:

176 ounces

Step-by-step explanation:

There are 16 ounces in one pint.

16 multiplied by 11 pints is equal to 176.

So, there are 176 ounces in 11 pints.

Hope this helps!

The sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

To prove that m∠D + m∠F = 180∘, we can use the property of angles inscribed in a circle.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Therefore, if we can show that arc DE + arc FG = 360∘, we can conclude that m∠D + m∠F = 180∘.

Let's start the proof:

1. Quadrilateral DEFG is inscribed in circle P. This means that all the vertices of the quadrilateral lie on the circumference of the circle.

2. Let's consider arc DE and arc FG. These arcs are intercepted by angles ∠D and ∠F, respectively.

3. By the property of angles inscribed in a circle, we know that the measure of an inscribed angle is equal to half the measure of its intercepted arc.

4. Therefore, m∠D = 1/2(arc DE) and m∠F = 1/2(arc FG).

5. We want to prove that m∠D + m∠F = 180∘. This is equivalent to showing that 1/2(arc DE) + 1/2(arc FG) = 180∘.

6. Combining the fractions, we have 1/2(arc DE + arc FG) = 180∘.

7. Now, we need to show that arc DE + arc FG = 360∘.

8. Since quadrilateral DEFG is inscribed in circle P, the sum of the measures of all the arcs intercepted by the sides of the quadrilateral is equal to 360∘.

9. This means that arc DE + arc EF + arc FG + arc GD = 360∘.

10. However, we can observe that arc EF and arc GD are opposite sides of the same chord, so they have equal measures. Therefore, arc EF = arc GD.

11. Substituting arc GD with arc EF in the equation from step 9, we have arc DE + arc EF + arc FG + arc EF = 360∘.

12. Simplifying the equation, we get 2(arc DE + arc EF + arc FG) = 360∘.

13. Dividing both sides by 2, we have arc DE + arc EF + arc FG = 180∘.

14. Comparing this result with step 7, we can conclude that arc DE + arc FG = 180∘.

15. Finally, going back to our initial goal, we can now substitute arc DE + arc FG with 180∘ in the equation from step 6: 1/2(180∘) = 180∘.

16. Simplifying, we have 90∘ = 180∘, which is a true statement.

17. Therefore, we have proven that m∠D + m∠F = 180∘.

Thus, we have successfully proved that the sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

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The measure of angle B is given as follows:

m < B = 49.2º.

Two angles are said to be complementary angles when the sum of their measures is of 90º.

The measures are given as follows:

As the angles are complementary, the value of x is obtained as follows:

x + 21 + 4x - 30 = 90

5x - 9 = 90

5x = 99

x = 19.8.

Hence the measure of angle B is obtained as follows:

m < B = 4 x 19.8 - 30

m < B = 49.2º.

The measures are given as follows:

The angles are complementary, and it asks for the measure of angle B.

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The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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Answer:

try searching it up

Step-by-step explanation:

Answer:

33 is the answer for this ez math

a) The equation that describes the relation between x and y is y = 8x - 1000

b) They made 8% profit from selling the calendars

c) They will loss 1000 when they sold no calendars.

Given,

Members of student council had a loss of $360 after selling 80 calenders

They made a profit of $600 after selling 200 calenders.

y be the profit or loss

x be the calendars sold

We have to find the following;

a) The equation of the line in Slope-Intercept form is:

y = mx + b

Where "m" is the slope and "b" is the y-intercept.

We are aware that "y" here stands for the profit or loss and "x" for the quantity of calendars sold.

Then,

According to the exercise, the line passes through these two points:

(80, -360) and (200, 600)

Then,

We can find the slope of the line with the formula;

m = (y₂ - y₁) / (x₂ - x₁)

m = (-360 - 600) / (80 - 200)

m = -960/-120

m = 8

Now,

We can substitute the slope and one of those points into y = mx + b and solve for "b":

600 = 8 × 200 + b

-b = 1600 - 600

b = -1000

Then,

Substituting values, we get that the equation that describes the relation between the profit and loss and the number of calendars sold, is:

y = 8x - 1000

b) The slope of the line is the profit they made from selling each calendar

Profit = 8

c) The y-intercept is the amount they would have lost if they had sold no calendars:

b = -1000

They'd have lost $1000 if they had sold no calendars.

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