Which set represents the same relation as the graph below?

A coordinate plane has 7 points. The points are (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4).

StartSet (4, negative 5), (negative 2, negative 3), (Negative 2, negative 1), (0, 2), (3, 3), (5, 4), (negative 4, 6) EndSet
StartSet (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4) EndSet
StartSet (negative 5, 4), (negative 3, negative 1), (3, 3), (4, 5), (6, negative 4) EndSet
StartSet (4, negative 5), (negative 3, 2), (negative 1, 2), (2, 0), (4, 5), (6, 4) EndSet

Answer:

there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Step-by-step explanation:

The counting principle states that if there are n ways to do one thing and m ways to do another, then there are n x m ways to do both.

In this case, we want to determine how many ways we can select 3 batteries out of 6. Using the counting principle, we can break down the selection process into three steps:

Select the first battery. There are 6 choices for the first battery.

Select the second battery. There are 5 choices left for the second battery, since we've already selected one.

Select the third battery. There are 4 choices left for the third battery.

Using the counting principle, we can multiply the number of choices for each step to get the total number of ways to select 3 batteries:

6 x 5 x 4 = 120

Therefore, there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Answer: it is 90,000 i believe

Answer: 90,000

Step-by-step explanation: I think it is 90,000 because if the number was for an example 95,000 it would be 100,000 so the number after the 9 is deciding either it goes up or down

(sorry for the grammar and stuff because I'm from Germany so its not very easy to explain, thanks for understanding)

Answer:

7 is greater than or equal to x.

Answer:

Hey I’m not sure but I think it’s A

Step-by-step explanation:

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{1}}}}}\)

Step-by-step explanation:

The value of the term having the index 0 equals to 1.

So, \( \sf{ {x}^{0} }\) = 1

Hope I helped!

Best regards! :D

The equation of the shifted line is y = x + 2

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

y = x

Shift left 2 units

To shift the equation y = x to the left by 2 units, we can replace x with (x + 2) in the equation.

i.e. (x. y) = (x + 2, y)

So, we have the new equation to be y = x + 2

This is the same line as the original equation but shifted 2 units to the left.

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Answer:

y=-9/4x+11/2

Step-by-step explanation:

This is point slope form, you can put it in slope intercept form if it is easier: y-1=4/9(x-2)=y=4/9x+b. Perpendicular lines must have a negative reciprocal slope. Perpendicular line equation: y=-9/4x+b. You then plug in values: 1=-9/4(2)+b. b=11/2.

The domain and range for the function shown in the graph above include the following:

D. D: [-∞, ∞]

    R: [-10, ∞]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-∞, ∞] or all real numbers.

Range = [-10, ∞] or y ≥ -10

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Answer:

4π

Step-by-step explanation:

Circumference = π X D (D = diameter = 2 X radius).

Diameter = 32.

Circumference = π (32) = 32π.

Divided into 8 slices = 1/8 of the circumference = 32π/8 = 4π.

Answer: 1 & 4 4&5 6&7

Step-by-step explanation:

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

Here angle B is 90°

So \(\triangle ABC\) and \(\triangle ABD \) Are right angled triangle

So we use Pythagoras thereon for solution

perpendicular=p=8cm

Hypontenuse =h =10cm

According to Pythagoras thereon

\({\boxed{\sf b^2=h^2-p^2}}\)

\(\longrightarrow\)\(\sf b^2=10^2-p^2\)

\(\longrightarrow\)\(\sf b={\sqrt {10^2-8^2}}\)

\(\longrightarrow\)\(\sf b={\sqrt{100-64}}\)

\(\longrightarrow\)\(\bf b={\sqrt {36}}\)

\(\longrightarrow\)\(\sf b=6\)

\(\therefore\)\(\overline{BC}=6cm\)

\(\longrightarrow\)\(BD=9+6\)

\(\longrightarrow\)\(BD=15cm \)

Perpendicular=p=8cm

Base =b=15cm

According to Pythagoras thereon

\({\boxed {\sf h^2=p^2+b^2}}\)

\(\longrightarrow\)\(\sf h^2=8^2+15^2 \)

\(\longrightarrow\)\(\sf h={\sqrt {8^2+15^2}}\)

\(\longrightarrow\)\(\sf h={\sqrt {64+225}}\)

\(\longrightarrow\)\(\sf h={\sqrt {289}}\)

\(\longrightarrow\)\(\sf h=17cm \)

\(\therefore\)\({\underline{\boxed{\bf x=17cm}}}\)

Answer:

884.4

Step-by-step explanation:

Answer:

The original price is 895.12$

I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this

Step-by-step explanation:

Answer:

0.23809523809 hope that helps

Answer:

Step-by-step explanation:

Predicted 13.5; Actual 20.5 - No

Predicted 7; Actual 10 - No

Predicted 35; Actual 55 - Yes

Predicted 53.76; Actual 76.8 - No

So the answers are:

O

O

yes

O

Answer:

Step-by-step explanation:

y=mx+b

m= slope and b= y intercept

you'll start with a point on the y axis on -1

and the slope will go up so towards the right corner up but 2/1 points

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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We can draw the following picture:

the area A is given by

therefore, the area is 135 ft^2. Which corresponds to option C.

Answer:

A sample of 595 should be obtained.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

Estimate of 0.55

This means that \(\pi = 0.55\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

What sample size should be obtained if she wishes the estimate to be within a margin of error of 0.04?

This is n for which M = 0.04. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 1.96\sqrt{\frac{0.55*0.45}{n}}\)

\(0.04\sqrt{n} = 1.96\sqrt{0.55*0.45}\)

\(\sqrt{n} = \frac{1.96\sqrt{0.55*0.45}}{0.04}\)

\((\sqrt{n})^2 = (\frac{1.96\sqrt{0.55*0.45}}{0.04})^2\)

\(n = 594.2\)

Rounding up,

A sample of 595 should be obtained.

Answer:

x = 16

Step-by-step explanation:

subtract 12 from both sides to isolate the variable and its coefficient

4x = 64

divide both sides by 4 to get x

x = 16

Answer:

x = 16

Step-by-step explanation:

4x+12=76

Step 1: Subtract 12 from both sides.

4x + 12 - 12 = 76 - 12

4x = 64

Step 2: Divide both sides by 4.

\(\frac{4x}{4} = \frac{64}{4}\)

x = 16

Answer:

A Book:Title

Step-by-step explanation:

Answer:

Badger: animal

Step-by-step explanation:

i took the test and its right

Answer:

3

Step-by-step explanation

3 x 2.50 = 7.50

7.50 x 0.06 = 0.45

7.50 + 0.45 = 7.95

So, she would be able to buy 3 sodas and it would cost $7.95

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:0.34 or .34

Step-by-step explanation:

Answer: 924 / 6 = 154

Step-by-step explanation: Yes, you are correct 924 / 6 =154

Answer:

Step-by-step explanation:

5tutu

The equation of the transformed function is g(x) = 2|x + 2| + 1 and the graph is attached

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

The graph

The equation of the graph is represented as

f(x) = |x|

For the function g(x), we have

g(x) = 2f(x + 2) + 1

This means that

g(x) = 2|x + 2| + 1

Next, we plot the graph (see attachment)

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The average rate of change of the function graphed is -4.

What is average rate of change?

The average rate at which one item is changing in relation to another is known as the average rate of change.

The function y = f(x) is graphed.

We have to find the average rate of change of the function on the interval

2 ≤ x ≤ 4.

The average rate of change is defined as,

Average rate of change = \(\frac{f(b)-f(a)}{b-a} = \frac{f(4)-f(2)}{4-2}\)

From graph,

f(4) = -4, f(2) = 4

So,

Average rate of change = \(\frac{-4-4}{4-2} = \frac{-8}{2} = -4\).

Therefore, for the given graphed function, the average rate of change is, -4.

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To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume is 824 cubic inches, we can rearrange the formula to solve for the radius:

824 = πr²h

Since the height is not given, we cannot find the exact radius. However, we can still determine the relationship between the height and radius if the volume remains the same.

b. If the height of the cylinder is changed, but the volume stays the same, the radius will change inversely proportional to the height. This means that as the height increases, the radius will decrease, and vice versa. This relationship ensures that the volume remains constant.

Therefore, we cannot determine the exact radius without knowing the height, but we can conclude that the radius and height have an inverse relationship.

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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