Does the graph shown below represent y as a linear function of x?

There will be a total of 1620 four digit numbers having an even second digit and a fourth digit that is atleast twice of the second digit.

Possible second digits allowed = 0,2,4

digits 6 and 8 are also even but cant be included as their twice yeild double digits.

For each of the allowed digits, the possible fourth digit ranges from 0-9(if second digit is zero), 4-9(if second digit is considered as 2) and 8-9(if second digit is 4). Hence the total number of fourth digits allowed            = 10+6+2=18.

The first digit can be any non zero number whereas the third digit can be from 0-9.

Hence the total number of four digits allowed: 9×10×18 = 1620.

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The equation of the line is y = 0.5x + 1 having a slope of 0.5 and y intercept of 1

The equation of a line is:

y = mx + b

Where m is the slope and b is the y intercept

From the table shown, the points are:

(-6, -2), (-4, -1), (-2, 0), (0, 1) and (2, 2)

Using any two points to get the equation. Let us use (-2, 0) and (0, 1):

y - 0 = [(1 - 0)/(0-(-2))](x - (-2))

y = 0.5x + 1

The equation of the line is y = 0.5x + 1

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Answer:

27

Step-by-step explanation:

19+x/2=23

19+x=46

x=27

or 19-23=4

23+4=27

The length of the other base of the trapezoid is 27 meters.

A trapezoid is a polygon with four sides, it has one pair of parallel sides.

The length of the base of a trapezoid is 19 meters.

The length of the median is 23 meters.

The median in a trapezoid is a line that is in the drawn in the mid way of the two non-adjacent sides.

The value of median is half of the bases added together.

Median = (1/2) ( Base₁ +  Base₂)

Substituting the values in the formula to obtain the value of the other base.

Let x be the length of the other base,

23 = (1/2) * ( 19 + x)

23 *2 = 19+x

46 = 19 +x

x = 27 meters

The length of the other base is 27 meters.

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The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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The goalposts are 6.92m tall.

Angle of incidence Equals Angle of reflection, according to the physics principle of reflection.

Both angles  ( θ) are equal, as seen in the attached image.

m<ABC = mADC = 90° - θ

m<ACB = mECD = 90°

detailed explanation?

Angle of incidence Equals Angle of reflection, according to the physics principle of reflection.

Both angles  ( θ) are equal, as seen in the attached image.

m<ABC = mADC = 90° - θ

m<ACB = mECD = 90°

Thus, the ABC triangle and the EDC triangle will both be similar.

Their corresponding sides will also be proportionate due to the property of comparable triangles

AB/BD  =  CB/CD.

1.15/ED  =  2.0/12.5

ED  =   1.15  *   12.05 /2.0

ED=  6.92

ED = ED = 6.92 m

The goalposts are 6.92m tall.

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Answer:

Step-by-step explanation:

dddfykb

The best measure of spread is the Interquartile range (IQR), which captures the spread of the central 50% of the data and is less influenced by outliers.

The type of distribution and the best measures of center and spread for the given data set:

Data Set: 1, 7, 11, 14, 17, 17, 17, 21, 21, 23, 23, 26

1. Type of Distribution:

To determine the type of distribution, we can examine the data for any patterns or characteristics. Looking at the data set, we observe that the values are not evenly distributed and there are repetitions of certain values (e.g., 17, 21, 23). This suggests that the data may exhibit a discrete or grouped distribution rather than a continuous distribution. Specifically, it appears to be a multimodal distribution since there are several modes (repeated values) in the data set.

2. Measure of Center:

To identify the best measure of center for this data set, we can consider the mean, median, and mode. Since the data set exhibits multimodality with repeated values, the mode is a suitable measure of center. In this case, the modes are the values that occur most frequently, which are 17, 21, and 23. Therefore, the mode(s) provide the best measure of center for this data set.

3. Measure of Spread:

To determine the best measure of spread, we can consider the range, standard deviation, and interquartile range (IQR). Since the data set contains outliers and is not symmetrically distributed, the range is not the best measure of spread. The standard deviation may not accurately represent the spread due to the presence of outliers. Therefore, the interquartile range (IQR) is a robust measure of spread that is less affected by outliers. The IQR is calculated as the difference between the first quartile (Q1) and the third quartile (Q3) and provides a measure of the spread of the central 50% of the data.

the type of distribution for the given data set is multimodal with repeated values. The best measure of center is the mode, which is 17, 21, and 23. The best measure of spread is the interquartile range (IQR), which captures the spread of the central 50% of the data and is less influenced by outliers.

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1) The value of P(A∩B) = 0.

2) The value of P(A|B) = 0.

3) P(A|B) is not equal to P(A). A and B are independent events.

4) The statement "Mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent." is not accurate.

5) We can conclude that mutually exclusive events have a probability of intersection of zero and are not independent.

1) Since A and B are mutually exclusive, they cannot occur at the same time, so P(A∩B) = 0.

2) The conditional probability of A given B is defined as the probability of A occurring given that B has occurred. Since A and B are mutually exclusive, if B has occurred, then A cannot occur. Therefore, P(A|B) = 0.

3) No, P(A|B) is not equal to P(A). Since B has occurred, the sample space has been reduced to only those outcomes in which B has occurred. Therefore, the probability of A given that B has occurred can only be determined from the portion of the sample space in which both A and B occur.

However, since A and B are mutually exclusive, this probability is zero. Therefore, P(A|B) ≠ P(A).

4) The statement is not accurate. Mutually exclusive events and independent events are different concepts. Two events are mutually exclusive if they cannot occur at the same time, whereas two events are independent if the occurrence of one event does not affect the probability of the other event.

If two events are mutually exclusive, they are not independent because the occurrence of one event precludes the occurrence of the other event.

5) Mutually exclusive events have a relationship where if one event occurs, the other cannot. In contrast, independent events are events where the occurrence of one event does not affect the probability of the other event occurring.

Therefore, we can conclude that mutually exclusive events and independent events are not the same concept, and we must be careful not to confuse them.

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9×5 = 45

just add the number in where the letter is

Answer:

A

Step-by-step explanation:

Answer:

2,905.4

Step-by-step explanation:

365 times 4 for the number of days in a year times the number of years.the multiply that by $1.99 for the price of the can per day.

Jada and Malik will have the same amount of money after approximately 9 weeks.

To calculate how much money Jada and Malik will have after 7 weeks, we need to consider their weekly earnings and existing savings.

Jada earns $15 per week mowing lawns and already has $50 in her savings account. Over 7 weeks, she will earn a total of 7 * $15 = $105 from mowing lawns. Adding her existing savings, Jada will have a total of $50 + $105 = $155 after 7 weeks.

Malik earns $10 per hour for the first hour of babysitting and already has $70 in his savings account. To calculate Malik's earnings, we need to know how many hours he babysits each week. Assuming he babysits for the same number of hours each week, let's say 3 hours, he will earn 3 * $10 = $30 per week. Over 7 weeks, Malik will earn a total of 7 * $30 = $210 from babysitting. Adding his existing savings, Malik will have a total of $70 + $210 = $280 after 7 weeks.

To determine when Jada and Malik will have the same amount of money, we need to set up an equation:

$155 (Jada's total after x weeks) = $280 (Malik's total after x weeks)

Simplifying the equation, we have:

155 + 15x = 280 + 30x

Rearranging the equation, we get:

15x - 30x = 280 - 155

-15x = 125

Dividing both sides by -15, we have:

x = -125 / -15 = 8.33

Since we can't have a fraction of a week, we round up to the nearest whole number.

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The length of the smaller laptop is 8 inches.

The length of the larger laptop is 12 inches.

To find the length of the larger laptop, we can use the concept of similarity between the two laptops. Similar figures have proportional side lengths.

Given that the width of the smaller laptop is 10 inches and its area is 80 square inches, we can find its length as follows:

Area = length x width

80 = length x 10

Dividing both sides of the equation by 10, we get:

length = 80 / 10

length = 8 inches

Therefore, the length of the smaller laptop is 8 inches.

Since the larger laptop is similar to the smaller one, the ratio of corresponding side lengths is the same. The ratio of the widths is 15 inches / 10 inches = 1.5.

To find the length of the larger laptop, we multiply the width of the larger laptop by the same ratio:

length of larger laptop = 1.5 x 8 inches

length of larger laptop = 12 inches

Thus, the length of the larger laptop is 12 inches.

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The length of the larger laptop is 12 inches.

Given that, a small rectangular laptop has a width of 10 inches and an area of 80 square inches.

We know that, area of a rectangle is Length×Width.

Here, Length×10=80

Length=8 inches

A larger and similar laptop has a width of 15 inches

Let the length of a large laptop be x.

Now, 10/15 = 8/x

10x=120

x=12 inches

Therefore, the length of the larger laptop is 12 inches.

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Explicación paso a paso:

Workdone = Fuerza * distancia movida en la dirección de la fuerza

Dado

Fuerza f = 40N

Distancia = 6 m

El trabajo realizado por la fuerza F es:

Trabajo hecho = 40 * 6

Trabajo terminado = 240 Nm

El trabajo realizado por la fuerza de la gravedad es el trabajo realizado por el cuerpo de 2 kg:

W = mg

W = 2 * 10

W = 20N

Trabajo realizado = 20 * 6

Trabajo terminado = 120 Nm

There are 5040 distinguishable ways to arrange the letters in the word "internet".

The word "internet" is made up of 8 letters, including two "n"s, two "t"s, and one of each of the other letters. We may use the formula for permutations with repetition to find the number of recognizable ways to arrange the letters, which is:

n!/n1!n2!...nk!

where n is the total number of objects to be arranged, and n1, n2, ..., nk are the frequencies of each of the k distinct objects. In this case, we have:

n = 8

n1 = 2 (for the "n"s)

n2 = 2 (for the "t"s)

n3 = 2 ( for the "e"s)

and n3 = n4 = n5 = 1 (for the remaining letters).

Substituting these values into the formula, we get:

8!/2!2!2!

= 8x7x6x5x4x3x2x1 / (2x1)(2x1)(2×1)

= 5040

Therefore, there are 5040 distinguishable ways to arrange the letters in the word "internet".

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Answer:y= 4x+2

Step-by-step explanation:

Answer:

what about it??

Step-by-step explanation:

Answer:

WHATS THE QUESTION

Step-by-step explanation:

IF YOU WERE WONDERING IT GOT DISCOUNTED BY 3$, OR 30%

Answer:

She completed 75% of the trip

Step-by-step explanation:

375 miles of 500 miles= 375/500

375/500=0.75

0.75 x 100=75%

Answer:

A) 25

Step-by-step explanation:

Set the ratios. Place the similar sides equal to each other.

Sides:

AB/CB = XY/ZY

Plug in corresponding numbers to the corresponding sides:

50/40 = x/20

Simplify. Divide 2 from both the numerator and denominator of the first fraction to get common denominators:

(50/40)/(2/2) = 25/20

25/20 = x/20

x = 25

A) 25 is your answer.

~

Answer: A 25

Step-by-step explanation:

Answer:

0, 1/18, and 1/36

Step-by-step explanation:

For i = 2, the probability it lands on 6 is 0, because you cannot sum to 2 with a 6. The same applies to i = 3 thru i = 6.

For the probability that at least one of a pair of fair dice lands on 6 for i = 7, there are only two possible ways, the first roll is a 6 and the second roll is a 7, and the first roll is a 1 and the second roll is a 6. The total amount of ways is 6 * 6 = 36, so the total probability is 1/18. This also applies to i = 8 thru i = 11.

For i = 12, there is only one way to get 12, the first dice lands on 6 and the second dice lands on 6. Assuming the dice are indistinguishable, the probability is 1/36.

The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.

We have,

The complementary probability of "at least one die lands on 6" is "neither of the dice lands on 6."

Therefore, you need to find the probability that neither of the dice lands on 6 for each possible sum i, and then subtract that probability from 1 to get the desired probability.

Let's go through the cases:

i = 2 (only possible sum with two dice):

In this case, both dice must show a 1.

The probability of this happening on a fair 6-sided die is

(1/6) * (1/6) = 1/36.

i = 3: The combinations are (1, 2) and (2, 1).

The probability of either happening is 2 * (1/6) * (1/6) = 1/18.

i = 4:

The combinations are (1, 3), (2, 2), and (3, 1).

The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.

i = 5:

The combinations are (1, 4), (2, 3), (3, 2), and (4, 1).

The probability of any of these happening is 4 * (1/6) * (1/6) = 1/9.

i = 6:

The combinations are (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1).

The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.

i = 7:

The combinations are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

The probability of any of these happening is 6 * (1/6) * (1/6) = 1/6.

i = 8:

The combinations are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).

The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.

i = 9:

The combinations are (3, 6), (4, 5), and (5, 4).

The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.

i = 10:

The combinations are (4, 6) and (6, 4).

The probability of either happening is 2 * (1/6) * (1/6) = 1/18.

i = 11:

The combinations are (5, 6) and (6, 5).

The probability of either happening is 2 * (1/6) * (1/6) = 1/18.

i = 12:

The combination is (6, 6).

The probability of this happening is (1/6) * (1/6) = 1/36.

Now, sum up the probabilities for each case:

(1/36) + (1/18) + (1/12) + (1/9) + (5/36) + (1/6) + (5/36) + (1/12) + (1/18) + (1/18) + (1/36)

This simplifies to:

69/36 = 23/12

Thus,

The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.

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Answer:

20.7 yd(rounded)

21 yd (exact)

Step-by-step explanation:

Since it goes 7 wide, do 7 x1/3 = 2.3 The 1/3rd comes from measurement given.

The length is 3 x 1/3 = 1 yd., so each level is 2.3 (repeating).

Since the height is 9, 9x2.3  = 20.7 yds (rounded)

If you want to be exact, 2.3333333333 x 9 = 21 (exact)

A. 1 2/3 cheese pizza was eaten

3/4 pepperoni pizza was eaten

In total

The total pizza that was eaten is

Convert the mixed fraction to improper fraction

This gives

Add the fractions

Therefore the total pizza that was eaten is

B. If the total pizzas ordered is 4

The leftover pizza is

Substract

Therefore, the leftover pizza is

c = -880

The intercept for a trendline based on five observations with an average of y = 100 and slope of the line = 22 is -880. This can be calculated using the formula for the equation of a straight line: y = mx + c, where m is the slope and c is the intercept. We know that the slope (m) is 22 and the average of y (the y-intercept) is 100. Plugging in the given values, we get:

100 = 22x + c

c = -880

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Step-by-step explanation:

i think this is the answer

domain you look at the x

df<-3,7>

range you look at the y

bf <<‐, 9]

Answer:

=6.5

Step-by-step explanation:

2−4+7=54.5

9−4=54.5

9−4+4=54.5+4

9=58.5

99=58.59

=6.5

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the volume of the region in the first octant bounded by the cylinder z=1−y^2, between x+y=1, and x+y=3, is 1/6 cubic units.

To find the volume of the region in the first octant bounded by the cylinder z=1−y^2, between x+y=1, and x+y=3, we can use a double integral.

First, we need to find the limits of integration for x, y, and z. The region is bounded by the planes x+y=1 and x+y=3, so the limits of integration for y are y=0 to y=1-x and y=0 to y=3-x. Since the region is in the first octant, the limits of integration for x are x=0 to x=1 and x=1 to x=2. The limits of integration for z are z=0 to z=1-y^2.

Therefore, the volume of the region is given by the double integral:

V = ∫∫R (1-y^2) dA

where R is the region in the xy-plane bounded by x+y=1 and x+y=3.

We can set up the double integral as follows:

V = ∫0^1 ∫0^(1-x) (1-y^2) dy dx + ∫1^2 ∫0^(3-x) (1-y^2) dy dx

Integrating with respect to y first, we get:

V = ∫0^1 [(y-y^3/3) from y=0 to y=1-x] dx + ∫1^2 [(y-y^3/3) from y=0 to y=3-x] dx

Simplifying, we get:

V = ∫0^1 (2/3-x-x^3/3) dx + ∫1^2 (8/3-x-x^3/3) dx

Integrating, we get:

V = [(2x/3-x^2/2-x^4/12) from x=0 to x=1] + [(8x/3-x^2/2-x^4/12) from x=1 to x=2]

Simplifying, we get:

V = 8/3 - 5/4 - 16/3 + 15/4

V = 1/6

Therefore, the volume of the region in the first octant bounded by the cylinder z=1−y^2, between x+y=1, and x+y=3, is 1/6 cubic units.
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The residual plot tell you about the line of best fit, the closer a data point's residual is to 0, the better the fit.

A residual value is a measure of how much a retrogression line vertically misses a data point. Retrogression lines are the stylish fit of a set of data. You can suppose of the lines as pars; a many data points will fit the line and others will miss.

A residual plot has the Residual Values on the perpendicular axis; the vertical axis displays the independent variable.

A residual plot is generally used to find problems with retrogression. Some data sets aren't good campaigners for retrogression, including

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