What are the equations of the asymptotes of the hyperbola?

(y+4)^2. (x-6)^2
——— - ———. =. 1
36. 49


Enter your answer in a point-slope form by filling in the boxes. Enter the slope as a simplified fraction.


y= ……= +…..(x…..)

The percentage score for a 71 on the test is 27, and the winning score is 71.

The science of statistics focuses on creating and researching strategies for gathering, evaluating, interpreting, and reporting empirical data.

As per the given information in the question,

The given scores are:

5, 4, 66, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, and 96.

A percentage is a number in a range of one to 100 that represents the percentage of a range that falls inside or above it.

Formula for calculating percentile rank on a test score of 71,

R₁₀₀ = [100(N <) + 1/2]/N

=100 × 4 + 1/2(1)/15

=400 + 0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60th percentile.

60 = Score/15

Score = 71

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Answer:

B) If I do not make the team, then I do not get a uniform.

Step-by-step explanation:

The contrapositive of a conditional statement is formed by negating both the antecedent and the consequent of the statement and then swapping their order. In the case of the statement "If I do not get a uniform, then I do not make the team," the contrapositive is "If I do not make the team, then I do not get a uniform."

The data is A. periodic with period of 3 and amplitude of about 7.5

From the information, we are given the number of hours as well as the number of bikes. It should be noted that we can see that ty values are periodic as it repeats every third value.

Also, the amplitude will be the:

= Larger value - Smallest value / 3

For the first set it is 7.

For the second set it is 7.5

For the third set it is 8

For the fourth set it is:

= (20 - 5)/2

= 7.5

Therefore, the amplitude is 7.5

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Answer:

19

Step-by-step explanation:

If a continuous random variable X is normally distributed with mean μ and variance σ², it is written as:

[tex]\boxed{X \sim\text{N}(\mu,\sigma^2)}[/tex]

Given:

Therefore, if the heights of men are normally distributed:

[tex]\boxed{X \sim\text{N} \left(69.0, 2.8^2 \right)}[/tex]

where X is height in inches.

Given:

Find the probability that the heights of men is between 64 and 78 inches by calculating P(64 ≤ X ≤ 78).

Calculator input for "normal cumulative distribution function (cdf)":

⇒ P(64 ≤ X ≤ 78) = 0.9622733869...

To calculate how many men who want to enlist in the U.S. Marine Corps would not expect to meet the height requirements from a group of 500, multiply 500 by 1 less than the probability found above:

⇒ 500 × [1 - P(64 ≤ X ≤ 78)]

⇒ 500 × [1 - 0.9622733869...]

⇒ 500 × 0.03772661307...

⇒ 18.86330654...

Therefore, we would expect for 19 men to not meet the height requirements.

The study revealed that 87% of movie customers spend an average of $6.39 or less on concessions.

To calculate the spending amount that corresponds to the top 87th percentile, we must first calculate the z-score. To do this, subtract the mean of $4.11 from the desired percentile of $6.39, resulting in a difference of $2.28. Next, divide the difference of $2.28 by the standard deviation of $1.37, resulting in a z-score of 1.67. Finally, use a z-score table to find the corresponding percentile of 87%. This means that 87% of movie customers spend an average of $6.39 or less on concessions.

z-score = (6.39 - 4.11) / 1.37 = 1.67

percentile = 87%

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Answer: Y=-2x-5

Step-by-step explanation:

Points: (-4, 3) & (-3, 1)

To find the slope, we use m= (y₂-y₁)/(x₂-x₁)

With these points, m= (1-3)/(-3--4)

This gives us m= -2/1, or -2

Slope-intercept form is y=mx+b

We can plug in the slope now, so y=-2x+b

B is the y-intercept, which is -5, in this case

This gives us y=-2x-5

Answer:

110 degrees

Step-by-step explanation:

This is because they are alternate exterior angles

So they are the same angle

The number of remaining green and yellow pins is 14 pins and 21 pins.

A proportion is a mathematical calculation that compares two numbers. According to proportion, two sets of given numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

The fraction of green pins present in the bag is 3/7. Then, the fraction of yellow pins present in the bag is 4/7.

When Yaqub picks up the green pin and gives it to his sister, the new fraction of green and yellow pins are 2/5 and 3/5.

Let x be the number of pins remaining in the bag after 1 pin less. This is written as,

[tex]\begin{aligned}\frac{3}{7}x-1 &= \frac{2}{5}x\\\frac{3}{7}x-\frac{2}{5}x&=1\\x&=35\end{aligned}[/tex]

There are about 35 pins remaining in the bag.

Then, the number of green pins remaining is (2/5) × 35 = 14 pins.

The number of yellow pins remaining is (3/5) × 35 = 21 pins.

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d) [tex]\frac{48y^{10} }{x^{9} }[/tex] is the answer to your question

Exponents:

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Answer:

48

Step-by-step explanation:

Let T be the number of texts sent on each plan.

The cost of Plan A can be represented as $9.25 + $0.06T.

The cost of Plan B can be represented as $2.50 + $0.20T.

We want to find the number of texts T at which the two plans cost the same amount. Therefore, we can set the two equations equal to each other and solve for T:

$9.25 + $0.06T = $2.50 + $0.20T

Subtracting $2.50 from both sides, we get:

$6.75 + $0.06T = $0.20T

Subtracting $0.06T from both sides, we get:

$6.75 = $0.14T

Dividing both sides by $0.14, we get:

T = 48.21

Therefore, the number of texts at which the two plans cost the same amount is approximately 48 texts. This means that if you send fewer than 48 texts per month, Plan A will be cheaper, and if you send more than 48 texts per month, Plan B will be cheaper.

WHAT IS DISTANCE?

Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria

You need to write complete questions in order to get good and exact answers. Here you haven't provided any graph so I could help you giving you my own graph. The relationship between speed, time and distance is as follows:

Where:

[tex]d=v t[/tex]

[tex]Where :[/tex]

[tex]d: Distance[/tex]

[tex]v:speed[/tex]

[tex]t : time[/tex]

So [tex]v[/tex] represents slope of a line that passes through the origin. In this case:

d matches the y-axis

t matches the x-axis.

So:

[tex]y=m x \rightarrow d=v t[/tex]

[tex]Where:[/tex]

[tex]\begin{aligned}& y \rightarrow d \\& m v \rightarrow v\end{aligned}[/tex]

[tex]x \rightarrow t[/tex]

The graph below (Car A) comes from the following equation:

[tex]y=\frac{5}{3} x[/tex]

And the equation for car B is:

[tex]y=\frac{5}{6} x[/tex]

By comparing them, car A moves faster than car B because:

[tex]\frac{5}{3} > \frac{5}{6}[/tex]

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Answer:

125°

Step-by-step explanation:

the given problem is related to co-interior angle

so.

The term that represents the situation shown in the graphic below is B. a reflection

A glide reflection or transflection is a symmetry operation in two-dimensional geometry that combines a reflection over a line with a translation along that line into a single operation.

An exchange of points from one side of a line with points on the other side of the mirror at the same distance from the mirror occurs when a mirror line is fixed in the plane. There is a mirror line in every reflection. A mirror reflection is followed by a translation that is parallel to the mirror to create a glide reflection.

Here, the shape is mirrored in the reflection. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

In conclusion, based on the information given, it should be noted that the correct option is B.

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The observed value of student's t statistic rounded to the nearest hundredth is 1.72.

The stated data is-

Thus,

Degree of freedom = n -1

Df = 22-1

Df = 21

As, the significance level is 5% then test is right tailed.

So,

Alpha value = 0.05

Now,

For alpha value = 0.05 and degree of freedom = 21.

t- critical value = 1.721 (from the t-statiscts table).

Thus, the observed value of student's t statistic rounded to the nearest hundredth is 1.72.

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As per the impact of reducing the tolerable rate of deviation from 7% to 5% on the sample size is 93.

The term deviation is defined as a measure that is used to find the difference between the observed value and the expected value of a variable.

Here we have given that the audit team is planning to examine a sample of control policies and procedures. assume that, based on the intended degree of reliance on internal control, the audit team wishes to control the risk of overreliance to 5%.

And we need to find sample size.

While we looking into the given question, we know that the tolerable rate of deviation from 7% to 5% on the sample size.

Let us consider that 100 be the sample size, then the reduction in 7% to 5%, tell that there is an 2% decrement in the sample size.

Therefore, it can be calculated as,

=> 100 x 2/100

=> 2

Here we already know that the risk of overreliance to 5%.

Then the total value is

=> 5 + 2 = 7.

Then the sample size is

=> 100 - 7

=> 93.

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Answer:

a=6/15

Step-by-step explanation:

19a-6=4a

(19-4)a=6

a=6/15

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Answer:

a= 2/5 =0.4

Step-by-step explanation:

19a−6=4a

Subtract 4a from both sides.

19a−6−4a=0

Combine 19a and −4a to get 15a.

15a−6=0

Add 6 to both sides. Anything plus zero gives itself.

15a=6

Divide both sides by 15.

a= 6/15

​

Reduce the fraction  6/15 to lowest terms by extracting and canceling out 3.

a=2/5

The area of the square is bigger than the Area of the rectangle.

Suppose the sum of all the sides in a square is this: 4 x A and the same is true of a rectangle, too.

Then, first, the area of the square is A^2.

And next, assuming that we have this: 0 < X < A and that one side in the rectangle is this: (A - X)

we can say that the side next to (A - X) is this: (A + X) because the sum of all the four sides in the rectangle has to be this: (4 x A), which equals the sum of all the sides in the square.

So now, the area of the square is this: A^2, whereas the area of the rectangle is this: (A^2 - X^2), which equals this: (A + X)(A - X).

You know thus now, which of the two areas is bigger, and it’s the area of the square. And the difference between the two areas is this: X^2.

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The largest number is 20 .

What is largest ?

There is a big number—a googolplex—that exists. It consists of 1 and 10100 zeros (googol). A googolduplex, which is an even larger number, is also present. It is 1 and over a googol zeros after that.

Let 'n' be any number, odd or even.

2n will always be even number. This is because, 2n has 2 as common factor. So, 2n is always even.

Eg: 2= 2×1, n=1 ; 4=2×2, n=2 etc

Numbers are even, consecutive.

Consecutive even numbers are 2n-2, 2n, 2n+2,

Eg : For consecutive even numbers, put n=2

2n-2=4-2=2

2n=4

2n+2 =4+2=6,

we get 2,4,6 which are consecutive even nos.

So, numbers are 2n-2, 2n and 2n+2

Their sum= 2n+2+2n+2n-2=6n

Sum=54

6n=54

n=54/6=9

So, n=9

Consecutive numbers are

2n-2= (2×9)-2=16

2n=2×9=18

2n+2=18+2=20.

So, numbers are 16, 18, 20. Their sum is 54.

The largest number is 20

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Answer:100x * 65

Step-by-step explanation:

distribute the 50 into 20 and 1.3 then set it up

the number of fih at 9:00 A.M. (794), which yields 209 fih, the number of fih left at 5:00 P.M. is 585 fih

Subtract the number of fih at 9:00 A.M. (794) from the number of fih left at 5:00 P.M. (209).

794 - 209 = 585

Therefore, the dolphin ate 585 fih.

To estimate how many fih the dolphin ate, we must first subtract the number of fih at 9:00 A.M. (794) from the number of fih left at 5:00 P.M. (209). This gives us 585 fih, which is the estimated number of fih that the dolphin ate. This calculation can be verified by subtracting the number of fih the dolphin ate (585) from the number of fih at 9:00 A.M. (794), which yields 209 fih, the number of fih left at 5:00 P.M.

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Answer:

1000

Step-by-step explanation:

you could write this as 5350 divided by x = 5.35

multiply both sides by x you get 5.35x = 5350

divide both by 5.35

x =1000

or you could just do 5350/5.35 which is 1000

therefore 5350 divided by 1000 would be 5.35

True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

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The height of the 5th player would be 69 inches

To find the Height, first, we have to calculate the mean value.

No. of players=5

The height of 4 players is 60 inches, 67 inches, and 64 inches, 65 inches.

Mean =Sum of observations/No of observations

Mean of the  5th players=65

To find, Height of 5th player

As we know,

Assuming the height of the 5th player is x

Mean =Sum of observations/No of observations

65=(60+67+64+65+x)/5

65*5=60+67+64+65+x

325=256+x

x=69

Thus, the height of the 5th player is 69 inches.

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Answer:

1. Apply a Pythagorean Identitie

2. Seperate the quotient into two terms.

3. Divide the common factor

4. Apply a reprical identity.

Step-by-step explanation:

The steps below in the image I just wrote.

I am not sure if your teacher would let you have a cheat sheet on the test or quiz. Remember your reciprocal identities and Pythagorean identities.

The function is actually (0,-3)(2,4)

Slope:

slope = y2-y1  = 4-(-3) = 7/2

            x2-x1      2-0

y intercept: (0,-3)

The number line to represent the given scenario is number line with close circle at point 12 and shaded to the right. The correct option is (D).

A number line is the pictorial representation of numbers on a graph. The reference point on the number line is known as origin and all the numbers right to the origin are taken as positive and those left to it are negative numbers.

The number of newspapers to be delivered is not less than 20.

Suppose the number of newspaper left at any time be x.

Then, the inequality for the given situation can be written as,

x ≥ 12

This implies all the whole numbers greater than and including 12 on the number line.

Hence, the solution can be represented as all numbers greater than and equal to 12.

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List all of the integer values that could take that would satisfy the inequality shown on the number line below. ​

(-2 , 1.5)

Answer:

Step-by-step explanation:

y = -5 (x² + 1 - 2x) + 5

y = -5x² + 10x - 5 + 5

y = -5x² + 10x

maximum height = y coordinate of the vertex of the parabola

x = -10/-10

x = 1

y = -5 (1)² + 10 (1)

y = -5 + 10

y = 5

5 meters

b) the x coordinate of the vertex is 1

1 meter

c) since the term without x is 0, the ball was kicked from the ground

0 meters

d) we have to find the x-intercept

-5x² + 10x = 0

-5/-5 x² + 10/-5 x = 0/-5

x² - 2x = 0

x(x-2) = 0

x = 0

x = 2

2 meters