Are these linear functions or nonlinear functions, please help ive only gotten fake answers and im on a timed test i just need help yallll.

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

The tuxedo was rented for 4 days.

Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).

From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:

$150 + $50x = $300

Subtracting $150 from both sides, we get:

$50x = $150

Dividing both sides by $50, we get:

x = 3

So the tuxedo was rented for 3 additional days, making the total number of days rented:

d = 1 + 3 = 4

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Therefore, the probability that a randomly selected value is greater than 67.5 is 0.9177 or approximately 91.77%.

Probability is a branch of mathematics that deals with measuring the likelihood or chance of a specific event occurring. It is a way of quantifying uncertainty and is used to model real-world phenomena in a variety of fields, including physics, economics, engineering, and statistics.

In simple terms, probability is a measure of the likelihood that a particular event will occur. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur. For example, the probability of flipping a fair coin and getting heads is 0.5, since there are two equally likely outcomes (heads or tails) and one of them corresponds to the event of interest (getting heads).

To solve this problem, we need to use the standard normal distribution, which has a mean of 0 and a standard deviation of 1. We can transform the original distribution into a standard normal distribution by using the z-score formula:

z = (x - μ) / σ

where x is the value, we want to find the probability for, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

Substituting the given values into the formula, we get:

\(z = (67.5 - 56.1) / 8.2\)

\(z = 1.384\)

We can now use a standard normal distribution table or a calculator to find the probability that a randomly selected value is greater than 67.5.

Using a standard normal distribution table, we look up the probability associated with a z-score of 1.384. The table gives us a probability of 0.917.

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The equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40

The equation of a line in point-slope form is expressed as;

y - y0 = m(x -x0)

where

m is the slope

(x0, y0) is the point on the line

Given the following parameters

Point (0,8)

Slope from the equation = 3/5

Substitute

y - 8 = 3/5(x - 0)
5(y -8) =3x

5y - 40 = 3x

5y - 3x = 40

Hence the equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40

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Answer:

P=4

Step-by-step explanation:

P(3) =12

This means that P multiplied by 3 would equal 12.

3 x 4 = 12

So, 'P' equals 4.

Answer:

2.83333333333

Step-by-step explanation:

(3 2/5) / (1 1/5) = 2.83333333333

Answer:

85/30 or 2.833333333

Step-by-step explanation:

When dividing fractions, you must find the reciprocal of the second number and multiply it as usual.

It is also much easier to solve after you convert these numbers to improper fractions.

In this case,

3 2/5 = 17/5

1 1/5 = 6/5

17/5 ÷ 6/5

17/5 x 5/6

85/30 (17/6 reduced)

or

2.83333333333333333333

Answer:

24:
6 of 4
or

8 of 3

Step-by-step explanation:

6x4=24
8x3=24

(a) Ô₁ = 40° (b) с Ê₁ = 80°

AE || CB is proved using alternate interior angles.

1.1 To calculate the size of the angles:

(a) Ô₁: Since D = 50° and AD is a chord, Ô₁ is the central angle of chord AD. According to the properties of a circle, the measure of a central angle is equal to twice the measure of the inscribed angle it intercepts. Therefore, Ô₁ = 2D = 2 * 50° = 100°.

(b) с Ê₁: Angle с Ê₁ is an inscribed angle that intercepts chord CB. According to the inscribed angle theorem, the measure of an inscribed angle is equal to half the measure of the intercepted arc. In this case, the intercepted arc is AD. Since Ô₁ = 100° and the intercepted arc AD is opposite to Ô₁, с Ê₁ = 180° - Ô₁ = 180° - 100° = 80°.

1.2 To prove that AE || CB:

To prove that AE || CB, we need to show that the corresponding angles are equal.

Let's consider angle AED and angle BDC. Both angles are inscribed angles that intercept the same arc AD. According to the inscribed angle theorem, the measure of an inscribed angle is equal to half the measure of the intercepted arc. Since angle AED and angle BDC intercept the same arc AD, they are equal: AED = BDC.

Additionally, angle AED and angle с Ê₁ are alternate interior angles formed by a transversal (AD) intersecting two parallel lines (AE and CB). According to the alternate interior angle theorem, when two parallel lines are intersected by a transversal, the alternate interior angles are congruent. Therefore, angle AED = с Ê₁.

Since angle AED = с Ê₁ and AED = BDC, we can conclude that с Ê₁ = BDC. This equality of corresponding angles proves that AE is parallel to CB, and thus, AE || CB.

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The length of AC is 12 units . Option D

The formula for area of a kite is given thus;

Area = \(\frac{p * q}{2}\)

Where p and q are the lengths

Area of kite = 48 square units

BD, q = 8 units

AC , p = unknown

Substitute the values

\(48 = \frac{AC * 8}{2}\)

Cross multiply

\(AC * 8 = 48 * 2\)

\(8AC = 96\)

\(AC = \frac{96}{8}\)

\(AC = 12\) units

Thus, the length of AC is 12 units . Option D

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Answer:option 4

Step-by-step explanation:

Answer:

They aren't equivalent

Step-by-step explanation:

Look at them as simplified fractions

4/18 = 2/9

2/12 = 1/6

If both of these are in their most simplified forms then its not equivalent!

The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

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Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Step-by-step explanation:

The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.

The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.

To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:

For y = sin(x):

x = 0, y = 0

x = π/2, y = 1

x = π, y = 0

x = 3π/2, y = -1

x = 2π, y = 0

For y = sin(2x):

x = 0, y = 0

x = π/2, y = 0

x = π, y = 0

x = 3π/2, y = 0

x = 2π, y = 0

As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).

Therefore, the correct statement is: It is compressed horizontally.

Answer:

Step-by-step explanation:

i)  1

ii) see attached

iii) as x goes from 0 to 2, y decreases parabolically from 1 to an acme at -3

iv) y = (x - 2)² - 3

v) -3 < t < 1

if t < -3 no intersection occurs between y = t and y = (x - 2)² - 3

if t = -3, y = t intersects the curve at only one point, (2, -3)

if -3 < t < 1 there exist two intersecting points with positive x values

if t = 1 there exist only one positive x value intersection as the other is at (0, 1) and 0 is neither positive nor negative.

if t > 1 there is one positive x value intersection and one negative x value intersection.

Answer:

25a-20

Step-by-step explanation:

15a+10a-20=

25a-20

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Answer:

144cm^2

Step-by-step explanation:

LA=P×H

where P is perimeter of base

and H is height

"What is the A.P.R. after the introductory period ?" you find before thinking about signing up.

Thus the response above is right.

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Answer: Y=4 x+-2

Step-by-step explanation:

9514 1404 393

Answer:

  y = 2x +4

Step-by-step explanation:

The slope-intercept form of the equation of a line is ...

  y = mx + b

where m represents the slope (rise/run), and b represents the y-intercept.

Here, the line increases by 2 units (rise=2) for each increase of 1 unit in the x-direction (run=1). Then the slope is ...

  m = rise/run = 2/1 = 2

The graph crosses the y-axis at y=4, so the y-intercept value is ...

  b = 4

Putting these values into the above slope-intercept form, we have ...

  y = 2x + 4

The length of the longer wire is 82 feet.

Let's denote the length of the longer wire as L. According to the given information, the shorter wire is attached to the ground 16 feet from the base of the pole, and the longer wire is attached to the ground 32 feet from the base of the pole.

We can form two similar right triangles using the wires. The height of each triangle is the height of the pole, and the base of each triangle is the distance from the base of the pole to where the wire is attached to the ground.

In the first triangle, the shorter wire creates an angle with the ground. Let's denote this angle as θ. Since we are given the cosine of this angle, we can use the cosine function to find the height of the pole in terms of θ and the base of the triangle:

cos(θ) = adjacent/hypotenuse = 16/L

Given that cos(θ) = 8/41, we can substitute this value into the equation:

8/41 = 16/L

To solve for L, we can cross-multiply and solve for L:

8L = 41 * 16

L = (41 * 16)/8

L = 82

Therefore, the length of the longer wire is 82 feet.

In summary, the length of the longer wire is 82 feet, as determined by using the cosine of the angle formed by the shorter wire and the ground, and considering the similarity of the triangles formed by the wires and the pole.

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Part A :

Yes, the statement is true that  P( A and B ) = 0 .

Given,

Event A and Event B are mutually exclusive.

Thus P ( A and B ) = 0

Part B:

A and B are mutually exclusive events if they do not occur at the same time.

This means that A and B do not share any common outcomes and

P(A and B) = 0.

Part C:

Let,

The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.

A and B do not have any numbers in common so P(A and B) = 0.

Hence, A and B are mutually exclusive.

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The average rate of change of the function over the interval is -6

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

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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The distance between the points G and H is D = 8 units

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be G ( 0 , 8 )

Let the second point be H ( 8 , 8 )

Now , let the distance between G and H be D , where

D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

D = √ ( 0 - 8 )² + ( 8 - 8 )²

D = √64 units

D = 8 units

Hence , the distance is 8 units

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Answer: answer is C

Step-by-step explanation:

for find x
(5x+30)+5x=90
 5x+30+5x=90 add like terms
after,
 10x+30=90
10x+30-30=90-30
 10x/10=60/10
   x = 6

to obtain answer as C
it mean
(5x+30)+5x=90
(5(6)+30)+5(6)=90 we know x=6 so add 6 to x and multiply and obtain answer is correct!
30+30+30=90

Answer:

B)Gift shop

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hope the answer helped you