The table of values represents a linear function. For this function, what is the value of y when x = 4?
х
-4
0
4
6
y
3
4
?
5.5
y =

Answer:

D is the answer

Step-by-step explanation:

EDGE 2020

Answer:

C

Step-by-step explanation:

Given

4x² = 64 ( divide both sides by 4 )

x² = 16 ( take the square root of both sides )

x = ± \(\sqrt{16}\) = ± 4

Solutions are x = - 4 and x = 4 → C

Answer:

C

Step-by-step explanation:

Answer:

15*14 + 14*x = 410

x = 200/14 = 14 4/14 <===== 14*14 + 4 = 200

Step-by-step explanation:

Answer:

3 cookies/bag

Step-by-step explanation:

First of all, let's define a unit rate. A unit rate is a ratio of the amount of one measurement to one unit of another measurement term. Unit rates can be expressed as fractions.

Now, here is something easier for you to remember: the second unit always have to be something with the quantity of 1.

In this case, "3 cookies/bag" shows how there are three cookies per, or in each bag--which means 1 bag. The second unit, which is bag, has the quantity of one.

Answer:

9\(\pi\) or 28.26

Step-by-step explanation:

A = \(\pi\)r^2

the diameter is 6, making the radius 3 (radius x 2 = diameter)

A = 3^2 x \(\pi\)

A = 9\(\pi\) or 28.26

The number of books Alisha did not sell after making a profit of £490 is 45 books

How to find how many book she sell base on the profit?

She buys 200 books costing £3 each.

Therefore,

cost = 3 × 200 = £600

Hence,

She sells 2/5 of the books at £8 each.

total amount = 2 / 5 of 200 × 8

total amount = 80 × 8

total amount = £640

Alisha then reduces the price of the remaining books by a quarter.

She then sells some of the remaining books.

Therefore,

the remaining book = 120

She sold some of the remaining books.

profit = selling price - cost price

490  = selling price - 600

selling price = 490 + 600

selling price = £1090

Therefore,

the cost of the remaining book she sold = 1090 - 640 = £450

Hence,

let

x = number of book sold

6(x) = 450

x = 450 / 6

x = 75

The number book she did not sell = 120 - 75 = 45

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Step-by-step explanation:

The corner to OPPOSITE diagonal corner of the box will be 48"

this diagonal is Pythagorean Theorem in 3-D

Diagonal ^2   =  15^2  +  8^2  +  height^2

  48^2 = 15^2 + 8^2 + height^2

48^2 - 15^2 - 8^2   =   height^2

height = 44.89 inches

w / 3                  quotient of a number and three

(w / 3) + 2            2 more

 =                         is equal

 9                        9

(w / 3) + 2 = 9

Answer:

41 minutes before noon

Step-by-step explanation:

The given parameters are;

The time camera A starts taking pictures = 6 AM

The frequency of picture taking by camera A = Once every 11 minutes

The time camera B starts taking pictures = 7 AM

The frequency of picture taking by camera B = Once every 7 minutes

The number of times both cameras take a picture at the same time before noon = 4 times

Let the time the two cameras first take a picture the same time be x, we have;

11·y - 60 = x

7·z  = x

Taking the number of times after 7 camera A snaps and noting that the first snap is 6 minutes after 7, we have

11·b + 6  = x

7·z = x

x is a factor of 7 and 11·b + 6 and x is some minutes after 7

By using Excel, to create a series of values for Camera A based,  on 11·b + 6, and dividing the results by 7 we have the factors of 7 at;

28, 105, 182, and 259 minutes after 7

Given that there are 60 minutes in one hour, we have;

259/60 = 4 hours 19 minutes, which is 11:19 a.m. or 41 minutes before noon.

To calculate the standard deviation of the number of defective items, we need to follow some steps. So, the correct answer is: c. 4.39 items.

The following steps are:

Calculate the mean (average) of the data set.

Calculate the deviation of each data point from the mean.

Square each deviation.

Calculate the mean of the squared deviations.

Take the square root of the mean squared deviation to obtain the standard deviation.

Let's perform these calculations:

Number of defective items: 12, 9, 11, 8, 12, 0, 10, 7, 20, 11, 6, 10, 10, 4, 8

Step 1: Calculate the mean:

Mean = (12 + 9 + 11 + 8 + 12 + 0 + 10 + 7 + 20 + 11 + 6 + 10 + 10 + 4 + 8) / 15 = 127 / 15 ≈ 8.47

Step 2: Calculate the deviation of each data point from the mean:

Deviation = each data point - mean

Deviation = 12 - 8.47, 9 - 8.47, 11 - 8.47, 8 - 8.47, 12 - 8.47, 0 - 8.47, 10 - 8.47, 7 - 8.47, 20 - 8.47, 11 - 8.47, 6 - 8.47, 10 - 8.47, 10 - 8.47, 4 - 8.47, 8 - 8.47

Step 3: Square each deviation:

Squared Deviation = Deviation^2

Step 4: Calculate the mean of the squared deviations:

Mean Squared Deviation = (sum of squared deviations) / 15

Step 5: Take the square root of the mean squared deviation to get the standard deviation.

Performing these calculations, the standard deviation of the number of defective items is approximately 4.39 (option C).

Therefore, the correct answer is: c. 4.39 items.

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Answer:

28 cm

Step-by-step explanation:

If the shape is a square, all the sides are equal. To find the area you multiply the length by the width. Since the area is 49 centimeters, find the square root of 49 to find the length of the length and the height of the square, which is 7. To find the perimeter, you add the lengths of all the sides of the square. 7+7+7+7=28.

Answer:

A

Step-by-step explanation:

just add all of them and divide it by six.

Benji made par or better on 7 holes in his round so far.

the ratio of holes with par or better to total holes played is equal to 0.4. We need to determine on how many of the holes Benji has made par or better. Table that shows the number of holes Benji has played during his round so far is shown below: Number of holes played in round so far Holes played 6 12 18Number of holes with par or better Number of holes played

2x 6 0.4

The ratio of the number of holes with par or better to the total number of holes played is 0.4.So, (Number of holes with par or better) /

(Number of holes played) = 0.4

Number of holes with par or better

/ (6 + 12 + 18) = 0.42x / 36 = 0.4

Cross-multiplying the above equation, we get,

2x = 0.4 x 36 = 14.4Dividing by 2 on both sides, we get x = 7.2

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Answer:

218750

Step-by-step explanation:

Divide 70,000,000,000 by 320,000,000.

Answer:

B

Step-by-step explanation:

The correct answer was B) "Wastage of good food is an environmental hazard that needs to be stopped. By using proper measures to stop wastage of good food, we can help save resources and the environment."

Answer:

r ≤-8

Step-by-step explanation:

-2r + 3 ≥19

Subtract 3 from each side

-2r + 3-3 ≥19-3

-2r≥16

Divide each side by -2, remembering to flip the inequality

-2r/-2 ≤16/-2

r ≤-8

The statistical measures for the given dataset are as follows: A. Mean: 163.8, B. Median: 160, C. Q3 (Third Quartile): 175, D. Q1 (First Quartile): 150, E. IQR (Interquartile Range): 25, F. SD (Standard Deviation): 15.06, G. I would prefer the median as a measure of central tendency.

To calculate these measures, let's go step by step:

A. Mean: To find the mean, we sum up all the numbers in the dataset and divide the sum by the total count of numbers. In this case, the sum is 1638 (168 + 170 + 150 + 160 + 182 + 140 + 175 + 191 + 152 + 150), and there are 10 numbers in the dataset. So, the mean is 1638 ÷ 10 = 163.8.

B. Median: To find the median, we arrange the numbers in ascending order and find the middle value. In this case, when we arrange the numbers in ascending order, we get 140, 150, 150, 152, 160, 168, 170, 175, 182, 191. The middle value is 160, which is the median.

C. Q3 (Third Quartile): The third quartile divides the dataset into the upper 25%. To find Q3, we need to identify the median of the upper half of the dataset. In this case, the upper half of the dataset is 168, 170, 175, 182, 191. When arranged in ascending order, it becomes 168, 170, 175, 182, 191. The median of this upper half is 175, which is Q3.

D. Q1 (First Quartile): The first quartile divides the dataset into the lower 25%. To find Q1, we need to identify the median of the lower half of the dataset. In this case, the lower half of the dataset is 140, 150, 150, 152, 160. When arranged in ascending order, it becomes 140, 150, 150, 152, 160. The median of this lower half is 150, which is Q1.

E. IQR (Interquartile Range): The interquartile range is the difference between Q3 and Q1. In this case, Q3 is 175 and Q1 is 150. So, the IQR is 175 - 150 = 25.

F. SD (Standard Deviation): The standard deviation measures the dispersion or spread of the data points. To calculate the standard deviation, we can use the formula that involves calculating the deviations of each data point from the mean, squaring them, taking the average, and then taking the square root. The standard deviation for this dataset is approximately 15.06.

G. I would prefer the median as a measure of central tendency in this case because the dataset contains some extreme values (e.g., 140 and 191) that can significantly affect the mean. The median is less sensitive to extreme values and provides a more robust measure of central tendency.

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Answer:

x = 4

Step-by-step explanation:

The 2 indicated angles are alternate and congruent, that is

26x - 4 = 24x + 4 ( subtract 24x from both sides )

2x - 4 = 4 ( add 4 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

The sampling distribution for a goodness of fit test is the

A continuous distribution with degrees of freedom is a chi-square distribution. It is used to describe how a sum of squared random variables is distributed.

When comparing categorical variables from a random sample, the statistical test known as chi-square is used to assess the degree of fit between the predicted and actual results.

We can therefore conclude that chi-square distribution is the sampling distribution for a goodness of fit test

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After translating the sentence into an equation using n to represent the unknown number and solving the equation the unknown number is 5.5.

In the given question, we have to translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n. the quotient of a number divided by 11 is 0.5.

Let the number is n. So

n/11 = 0.5

Now solving the expression to find the value of n.

Multiply the 11 on both side, we get

n = 0.5×11

n = 5.5

Hence, the unknown number is 5.5.

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Answer:

13x^2 - xy

Step-by-step explanation:

4x^2-3xy+2xy+9x^2

=13x^2-xy

The height of the building is approximately 201.67 feet.

We have,

To find the height of the building, we can use similar triangles and trigonometry.

The angle of elevation of the sun from the horizon is 63 degrees, and the length of the shadow is 80 ft.

Let h be the height of the building.

We can set up the following proportion:

height of building / length of shadow = tan(angle of elevation)

h / 80 = tan(63)

Solving for h:

h = 80 x tan(63)

h = 80 x tan(63)

Using a calculator, we can calculate the value:

h ≈ 201.67 ft

Therefore,

The height of the building is approximately 201.67 feet.

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Okay, let's solve this step-by-step:

1) The equations for the two curves are:

r = sin(θ)  and  r = cos(θ)

2) We need to find the intersection points of these two curves. This is done by setting them equal and solving for θ:

sin(θ) = cos(θ)

=>  θ = π/4

3) The intersection points are (1, π/4) and (1, 3π/4). The region lies between θ = π/4 and θ = 3π/4.

4) To find the area, we use the formula:

A = ∫θ=3π/4 θ=π/4 2πr dθ

5) Substitute r = sin(θ) or r = cos(θ):

A = ∫θ=3π/4 θ=π/4 2πsin(θ) dθ

= 2π ∫θ=3π/4 θ=π/4 sin(θ) dθ

6) Integrate:

A = 2π(cos(θ) - sin(θ) )|π/4  to  3π/4

= 2π(0 - 1) = 2π

7) Therefore, the area of the region is 2π square units.

Let me know if you have any other questions!

Any point on WZ can be represented by a parameter s such that W + s(Z- W), where s varies between 0 and 1.

The set of all points on segment XY is represented as [X, Y], and it includes all the points between X and Y, including the endpoints. Similarly, the set of all points on segment WZ is represented as [W, Z], and since WZ is twice as long as XY, the length of WZ is 2x. Therefore, any point between W and Z, including the endpoints, is part of the set. However, without specific coordinates or additional information, we cannot provide further details about the exact points on these segments.

The set of points on segment XY, denoted as [X, Y], includes all the points between the endpoints X and Y, as well as the endpoints themselves. This means that any point on XY can be represented by a parameter t such that X + t(Y - X), where t varies between 0 and 1. This parameterization covers the entire segment XY, including X and Y.

Similarly, the set of points on segment WZ, denoted as [W, Z], represents all the points between the endpoints W and Z, as well as the endpoints themselves. Since WZ is twice as long as XY, the length of WZ is 2x, where x represents the length of XY. Therefore, any point on WZ can be represented by a parameter s such that W + s(Z - W), where s varies between 0 and 1.

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Answer:

75%

Step-by-step explanation:

42 out of 56 is 0.75 which is 75%

Answer:

20

Step-by-step explanation:

Total no of plants in a garden = 36

The ratio of tomato plants to cucumber plants to be 4:5.

Let tomato plants are 4x and cucumber plants is 5x.

ATQ,

4x+5x=36

9x = 36

x = 4

For cucumber plant, 5x = 5(4) = 20

So, there are 20 cucumber plants will be in Reggie's garden

Answer:

2.44948974278

sqrt(6)

Answer:15

Step-by-step explanation:

rectangle so we know two sides are equal and other two side are equal so we have X+X+X+4+X+4

so make it algerbra 4X+8=52

get rid of the 8 by subtracting from both side

4X+8-8=52-8

4X= 44

divide both sides by 4 to get rid of the 4

so X= 11

so two sides are 11

and two sides are 11+4 or 15