Given that the endpoints of a diameter are (7,-3) and (-1,7), determine the equation of the circle.

Based on the data in the table, if Colin draws a marble 336 times, he predicts a yellow marble will be drawn roughly 63 times,  but probably not exactly 63 times.

Based on the data in the table, if Colin draws a marble 216 times, he predicts a white marble will be drawn roughly 2 times that a purple marble will be drawn.

If Colin draws a marble x times, he predicts a yellow marble will be drawn roughly 63 times.

The number of times = 63 / 3/16)

The number of times = 336 times.

If Colin draws a marble 216 times,

Number of times he can draw a white marble = 216 * 1/4

Number of times he can draw a white marble = 54 times

Number of times he can draw a purple marble = 216 * 1/6

Number of times he can draw a purple marble = 36 times

The number of times a white marble can be drawn more than a purple marble = 54/36 or 1.5 times more

The number of times a white marble can be drawn more than a purple marble is approximately two times.

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Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Answer:

sorry dunno

Step-by-step explanation:

:c

Answer:

(2) 21 years old

Step-by-step explanation:

Answer:

  m∠A = 39°

  m∠B = 39°

  m∠C = 102°

Step-by-step explanation:

m∠A + m∠B + m∠C = 180°

x + x + (x + 63) = 180

3x + 63 = 180

3x = 117

x = 39°

m∠A = 39°

m∠B = 39°

m∠C = m∠A + 63 = 39 + 63 = 102°

Answer:

39 39 102

Step-by-step explanation:

Debemos tomar la integral definida de la diferencia entre las dos funciones en el intervalo dado.

Supongamos que queremos encontrar el area entre dos funciones f(x) y g(x) en un intervalo (a, b).

Vamos a suponer que f(x) > g(x) en todo el intervalo (a, b), entonces el area entre la funcion f(x) y g(x) en ese intervalo se calcula como:

\(\int\limits^b_a {(f(x) - g(x))} \, dx\)

Si por ejemplo tuvieramos que para un valor c en el intervalo (a, b) se da que:

f(x) > g(x) en (a, c)

g(x) > f(x) en (c, b)

Entonces la integral sería:

\(\int\limits^c_a {(f(x) - g(x))} \, dx + \int\limits^b_c {(g(x) - f(x))} \, dx\)

Y similarmente si debemos separar el intervalo mas segmentos.

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The line represent the amount of money in the line of the account will be x + y = 45.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Alina has $20 in her account she wants to purchase a purse, shoes that cost $45.

If the line makes the purchase, Then the line represent the amount of money in the line of the account will be

x + y = 45

where x be the price of purse and y be the price of shoe.

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Answer:

11(x+3) is correct answer. Please Mark it as brainlist answer.

Step-by-step explanation:

let's say the unknown number be x

Simplify it:

11(x+3)

Using the concept of probability, it is found that there is a 0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.

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

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

In each trial, there are 13 possible outcomes(pockets numbered from 0 to 12), so the total number of outcomes is:

\(T = 13^2 = 169\)

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

The desired outcomes are those who result in a sum of 15. Thus, they are:

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

Thus, the probability is:

\(p = \frac{D}{T} = \frac{10}{169} = 0.0592\)

0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.

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The fastest speed a table-tenis ball is 69.92.

According to the statement

we have to find that the fastest speed of a table-tennis ball with the given information.

For this purpose, we know that the

Speed is the rate at which someone or something is able to move.

From the give information:

The fastest speed a table-tenis ball has been hit is about 13.07 times as fast as the fastest swimming speed which is 5.35.

Now, the speed of the fastest swimming is 5.35

And

the speed of the table-tenis ball has been hit is about 13.07 times as fast as the fastest swimming speed

The equation become

5.35(13.07)

Then

fastest speed a table-tenis ball = 5.35(13.07)

fastest speed a table-tenis ball = 69.92

So, The fastest speed a table-tenis ball is 69.92.

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Answer:

False

Step-by-step explanation:

Sorry if I’m wrong I tried my best

Answer:

Step-by-step explanation:

Let the rectangle dimensions be x and y. Assume that x represents the "short" side, so it is also the diameter of the semicircle. Then the perimeter is ...

  P = x + 2y + πx/2 = 90

The area is the area of the rectangle added to the area of the semicircle:

  A = xy + (1/2)π(x/2)^2 = x(π/8x +y)

Solving the perimeter equation for y, we get

  y = (90 -x -π/2x)/2

and the area equation becomes ,..

  A = x(π/8x +45 -x/2 -π/4x)

  A = x(45 -x(1/2 +π/8))

The graph of A(x) is a parabola opening downward with zeros at x=0 and x=45/(1/2+π/8) = 360/(4+π).

The vertex (maximum) of the area curve will be halfway between the zeros, at ...

  x = (0 +360/(4+π))/2 = 180/(4+π)

The value of y is then ...

  y = (90 -x(1 +π/2))/2 = (1/2)(90 -(180/(4+π))(2+π)/2) = (1/2)(90)(1 -(2+π)/(4+π))

  y = 45(4+π-2-π)/(4+π) = 90/(4+π)

The rectangle dimensions are 90/4+π) by 180/(4+π), with the semicircle diameter equal to 180/(4+π).

__

That's about 25.2 ft by 12.6 ft with the semicircle attached to the long side.

_____

Please note that the overall dimensions of the garden are the same in both directions. It is effectively "square" with two corners rounded into quarter circles.

Answer:

y = 130

x = 50

Step-by-step explanation:

y = 130 corresponding angles of parallel lines are congruent

x = 50 supplementary angles of a straight line add to 180

Answer:

y=130

x=50

Step-by-step explanation:

hope it helps

Answer:

6

Step-by-step explanation:

42 x 36 and (40 + 2) X (30 + 6) are the same thing, they are just written differently. Hope This helps!

The equation of each line that satisfies the given conditions are:

1. y - 2 = 5/2(x - 3)

2. y - 4 = m(x + 3)

3. y = -3x + 5

1. Given the points, (3, 2) and (5, 7), find the slope (m):

Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)

m = 5/2

Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):

y - 2 = 5/2(x - 3)

2. Given:

A point = (-3, 4)

Slope (m) = 2

Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):

y - 4 = m(x + 3) [equation of the line]

3. Given:

Slope (m) = -3

Y-intercept (b) = 5

Substitute m = -3 and b = 5 into the equation y = mx + b:

y = -3x + 5

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The value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

The given expression ♾️. n-1 Σ 1/4(-1/3) represents a summation of the term 1/4(-1/3) over a range of values from 1 to n-1, where n is an unknown value. We need to find the value of S4, which represents the sum of this expression when n is equal to 4.

To find the value of S4, we substitute n = 4 into the expression and evaluate it.

♾️. n-1 Σ 1/4(-1/3) = ♾️. 4-1 Σ 1/4(-1/3)

Simplifying, we get:

♾️. 3 Σ 1/4(-1/3)

Since the term 1/4(-1/3) is constant, we can pull it out of the summation:

1/4(-1/3) ♾️. 3

Now, ♾️. 3 represents the sum of 3 terms. Multiplying 1/4(-1/3) by 3 gives:

1/4(-1/3) * 3 = -1/4 * 1/3 * 3 = -1/12

Therefore, the value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

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The probable question could be:

What is the value of s4 for expression ♾️. n-1 Σ 1/4(-1/3) ?

A) 1/9

B) 7/54

C) 5/27

D) 10/27

Answer: $ 16,740

Here's a trick:

Mark down, you subtract

Mark up, you add

Step-by-step explanation:

Hi, so I see you've been asking for help on these questions.

The concept is quite simple so I am going to walk you through it.

First, your going to multiply 55,800 x .7

Once you've done that you will receive 39,060 you will then subtract 39,060 from 55,800

55,800

-

39,060

= 16,740 is your answer

Answer:

Can you try turning the 5,8 into a ratio? thats all I can think of right now

Step-by-step explanation:

Answer:

I think it's -4/10 + (-7/10) = -11/5

number line

Step-by-step explanation:

The expected values of the raffle ticket for you are given as follows:

For the PTO, the expected values are given as follows:

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For you, the distribution is given as follows:

Hence the expected value for one ticket is given as follows:

E(X) = 62/280 - 4 x 279/280

E(X) = -$3.76.

For twelve tickets, the expected value is given as follows:

12 x -3.76 = -$45.12.

For the PTO, we use the inverse signals, as the distribution is the inverse, that is:

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Answer:

B) x + 1

Step-by-step explanation:

Consecutive integers mean continuous integers ( 1, 2 , 3 ,....). We will get the next number by adding 1 to the previous number.

Eg: 5 , 6 , 7 ,.....

6 = 5 + 1

7 = 6 + 1

So, if first number is x, then the next number will be x + 1

If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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The maximum score that can be in the bottom 5% of scores is 2.64

The middle 90% of scores lie between 2.88 and 4.56.

(a) To find the maximum score that can be in the bottom 5% of scores, we need to find the score that corresponds to the 5th percentile of the normal distribution.

Using the mean and standard deviation provided (3.6 and 0.75, respectively), we can use the standard normal table to find that the 5th percentile corresponds to a standard normal score of -1.28. To convert this back to the original scale, we can use the formula:

x = mu + z * sigma

Where

Plugging in the values, we get:

x = 3.6 + (-1.28) * 0.75

x= 2.64

(b)

To find the range of scores that the middle 90% of scores lie between, we need to find the 5th and 95th percentiles of the normal distribution.

Using the mean and standard deviation provided (3.6 and 0.75, respectively), we can use the standard normal table to find that the 5th percentile corresponds to a standard normal score of -1.28 and the 95th percentile corresponds to a standard normal score of 1.28. To convert these back to the original scale, we can use the formula:

x = mu + z * sigma

Where

Plugging in the values, we get:

x = 3.6 + (-1.28) * 0.75

= 2.88 for the 5th percentile

x = 3.6 + 1.28 * 0.75

= 4.56 for the 95th percentile

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Answer:

Step-by-step explanation:

B

90/20=4.5

Answer:

everything depends on the height so if your around 5'0-5'3 the average wait is between 95-110 pounds. and people who are 5'4-5'10 the average wait is around 110-145.

Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

The formula is given as;

z = x - μ / σ

Substituting the values into the formula;

-2.13 = 19.3 - 29 / σ

Cross multiply both sides;

-2.13σ = 19.3 - 29

-2.13σ = -9.7

Divide both sides by the coefficient;

-2.13σ / -2.13 = -9.7 / -2.13

σ = 7.57

The standard deviation is 7.57

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Answer:

Yes, by ASA congruence.

Step-by-step explanation:

Solving :

Hence, as 2 angles and a side of the triangles are equal, we can say they are congruent by ASA congruence.

\(\huge\underline{{\sf Answer}}\)

\( \textbf{Let's check if the two triangles are } \)\( \textbf{congruent} \) ~

\( \large\textsf{Given information } \):

\( \textsf{Two angles of a triangle is equal to corresponding} \) \( \textsf{two angles of another triangle, and they} \)\( \textsf{have one side in common (should be equal} \)\( \textsf{for both) } \)

\( \textsf{So, after analyzing this information, we can } \)\( \textsf{conclude that the two triangles are congruent by} \)\( \textsf{AAS congruency criteria.} \)

\( \texttt{[ since two angles are equal and one} \)\( \texttt{non included side is common/equal ]} \)