A small cargo plane currently has 150 pounds of cargo aboard. In addition, n boxes weighing 30 pounds each will be brought aboard.
Suppose that the total weight of the cargo on board must be at most p pounds. Using the values and variables given, write an inequality describing this.

Given statement solution is :- The mass of x refers to the probability mass function (PMF) values for each value of x.

Plot of the probability mass function (PMF):

The PMF plot represents the probabilities of the different values of x.

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x  |  P(X=x)

---|--------

0  |  0.362

1  |  0.442

2  |  0.153

3  |  0.037

4  |  0.006

5  |  0.0005

The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.

a. The possible values of x are 0, 1, 2, 3, 4, and 5. This represents the number of hearts you can get from the 5 cards dealt.

b. The mass of x refers to the probability mass function (PMF) values for each value of x. We can calculate the mass as follows:

P(x = 0) = (39/52) * (38/51) * (37/50) * (36/49) * (35/48)

P(x = 1) = 5 * (13/52) * (39/51) * (38/50) * (37/49) * (36/48)

P(x = 2) = 10 * (13/52) * (12/51) * (39/50) * (38/49) * (37/48)

P(x = 3) = 10 * (13/52) * (12/51) * (11/50) * (39/49) * (38/48)

P(x = 4) = 5 * (13/52) * (12/51) * (11/50) * (10/49) * (39/48)

P(x = 5) = (13/52) * (12/51) * (11/50) * (10/49) * (9/48)

Note: The coefficients in front of each probability correspond to the different ways of selecting x hearts from the available hearts in the deck.

c. Plot of the probability mass function (PMF):

The PMF plot represents the probabilities of the different values of x.

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x  |  P(X=x)

---|--------

0  |  0.362

1  |  0.442

2  |  0.153

3  |  0.037

4  |  0.006

5  |  0.0005

d. The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.

The CDF of x can be calculated by summing up the probabilities of all the values less than or equal to x.

CDF(x = 0) = P(x = 0)

CDF(x = 1) = P(x = 0) + P(x = 1)

CDF(x = 2) = P(x = 0) + P(x = 1) + P(x = 2)

CDF(x = 3) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)

CDF(x = 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

CDF(x = 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)

e. Plot of the cumulative distribution function (CDF):

The CDF plot represents the cumulative probabilities for the different values of x.

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x  |  CDF(X<=x)

---|-----------

0  |  0.362

1  |  0.804

2  |  0.957

3  |  0.994

4  |  1.000

5  |  1.000

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The frequency distribution of the digits indicates that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements.

Frequency Distribution:

Digit Frequency

0 3

1 5

2 9

3 5

4 3

5 4

6 4

7 4

8 2

9 1

From the distribution of the digits, it appears that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements.

The frequency distribution of the digits indicates that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements. For example, the frequency of the digit '2' is more than twice as high as the frequency of the digits '1' and '3', which is not likely to occur in a set of actual measurements.

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Answer: 31

Step-by-step explanation: 775 divided by 25 = 31

20 miles per hour ,rate is the distance between you changing.

According to our question-

dx / dt = 16 miles per hour

dy / dt = 12 miles per hour

x = 4 miles

Let the distance between both the friends be s.

Time taken by you to travel 4 mile, t = distance / speed = 4 / 12 = 1/4 hour

Distance traveled by your friend in time t, y = speed x time = 12 x 1/4 = 3 miles

Use Pythagorean theorem,

x^2 + y^2 + s^2     ..... (1)

Substitute, x = 4 mile, y = 3 mile

s^2 = 16 + 9 = 25

s = 5 miles

Differentiate equation (1) with respect to t, we get

2x dx/dt + 2y dy/dt = 2s ds/dt

4 (16) + 3 (12) = 5 ds/dt

ds/dt = 20 miles per hour

Thus, the distance between you and your friend is changing with a rate of 20 miles per hour.

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Answer:

26460

Step-by-step explanation:

it is the correct answer

Answer:

3780 is 700% of 540

Step-by-step explanation:

According to g00gle this is correct and also a percentages calculator

Answer:

66

Step-by-step explanation:

it is 66

Answer:

Put 4.96 in the second box then solve which the answer is 6.76

Step-by-step explanation:

James would need 3 3/4 cups of water for the three batches of brownies.

To determine the amount of water James needs for three batches of brownies, we need to multiply the amount of water used in one batch by the number of batches.

(Note: A solid line in all the diagrammed solutions denotes a division in cups, whereas a dashed line denotes a division in batches.)

112 cups of flour are needed to make a batch of cupcakes. How many cups are need for three batches?

One batch of brownies uses 1 1/4 cups of water, so for three batches, James would need:

1 1/4 cups * 3 = 3 3/4 cups

So, 3 3/4 cups of water will be required for three branches of brownie.

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Answer:

y = 1x - 7

Step-by-step explanation:

Answer:

mB = 113 degrees

Step-by-step explanation:

180 - 67 = 113

Answer:

mB=113

Step-by-step explanation:

mA=67

Triangles are 180 with all angles added together.

To find mB subtract mA with 180.

180 - 67 = 113

mB=113

Answer:

1080

Step-by-step explanation:

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

Multiples of 15:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735, 750, 765, 780, 795, 810, 825, 840, 855, 870, 885, 900, 915, 930, 945, 960, 975, 990, 1005, 1020, 1035, 1050, 1065, 1080, 1095, 1110

Multiples of 24:

24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816, 840, 864, 888, 912, 936, 960, 984, 1008, 1032, 1056, 1080, 1104, 1128

Multiples of 27:

27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, 540, 567, 594, 621, 648, 675, 702, 729, 756, 783, 810, 837, 864, 891, 918, 945, 972, 999, 1026, 1053, 1080, 1107, 1134

Therefore,

LCM(15, 24, 27) = 1080

hope it helps :)

Answer:

This is a RIGHT TRIANGLE.

Sure there are two acute angles, but if it was an acute triangle, then there should be three acute angles. It is not an obtuse triangle because there are no obtuse angles. This is a right triangle because there are two acute angles and there is a right corner, 90º. This is why this is a right triangle. It's quite simple.

Answer:

17

Step-by-step explanation:

IQR = Q3 - Q1

1st Quartile: 13

3rd Quartile: 30

IQR = 30 - 13 = 17

Answer:

112.5

Step-by-step explanation:

The average is calculated as

average = \(\frac{sum}{count}\), then

average = \(\frac{63+162}{2}\) = \(\frac{225}{2}\) = 112.5

Silvio wants to find the perimeter of quadrilateral abcd. he begins by computing the length of side ab using the distance formula. finish silvio’s work to find the length of side ab. The perimeter of quadrilateral abcd is 20 units.

The total length of a shape's boundary is referred to in geometry as the perimeter of the shape. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

A regular polygon's perimeter is equal to the product of all of its sides, which is equal to the number of sides times the length of a side.

We use the general method to get the perimeter of an irregular shape since the sides of an irregular polygon might not all be the same length.

Therefore, the irregular polygon's perimeter equals the total of its sides.

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There are 56 possible ways to man the two sides of the boat with two crew members rowing on the stroke side and three crew members rowing on the bow side.

The number of ways to man the two sides of the boat can be calculated using the combination formula, C(n,r). In this case, n = 8 (the total number of crew members) and r = 5 (the number of crew members needed to man the two sides of the boat). The equation to calculate the number of ways to man the two sides of the boat can be written as C(8,5).

C(8,5) = 8!/(5!*3!) = 56.

This means that there are 56 possible ways to man the two sides of the boat with two crew members rowing on the stroke side and three crew members rowing on the bow side.

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Answer:

b

Step-by-step explanation:

The calculated area of the base is 5

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

Volume of the prism = 100

Height of the prism = 20

Using the above as a guide, we have the following:

Base area = Volume of the prism /Height of the prism

substitute the known values in the above equation, so, we have the following representation

Base area = 100/20

Evaluate

Base area = 5

Hence, the area of the base is 5

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Answer:

26 r 4

Step-by-step explanation:

8/212

Answer:

Original number = 10x + y = 52

Step-by-step explanation:

Answer:

1st two boxes: 18 Miles - 1 Gallon

Last two boxes: 198 Miles - 11 Gallons

Step-by-step explanation:

http://www.milesgallon.com/convert_miles_to_gallons.php?miles=198&mpg=18&listmpg=18&price=2.76#calculator

Answer:

Substitute 3x - 5 for y in the second equation.

Step-by-step explanation:

Generally, to solve the system of linear equations of x and y, the first step would be trying to eliminate x (or y).

Then turn the system into the equation of only y (or x).

Next, try to solve for y (or x).

Then substitute the solved y (or x) into the original system to work out x (or y).

**********

3 options (1 addition, 2 subtractions) do not eliminate x or y (x and y still exist after manipulation).

=> Remaining option relating substitution would be a reasonable choice.

Answer:

Slope is just what is y/x so y=4-3=1, X=3-(-2)=5, remember if you use point 1's y to minus point 2, for x you also need to use point 1's x to minus point 2's x. So it's 1/5

Answer:

Step-by-step explanation:

2) (0,3) ; (3, 2)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

          \(=\frac{2-3}{3-0}\\\\=\frac{-1}{3}\)

3)(-2, 1) (3,4)

Slope = \(\frac{4 -1}{3-[-2]}\)

          \(=\frac{4-1}{3+2}\\\\=\frac{3}{5}\)

The slope of AB is (0-4)/(-2-0)=2, so since perpendicular lines have negative reciprocal slopes, the slope of the perpendicular line is -0.5.

So, the equation of the line is:

y + 1 = -0.5(x - 5)

y + 1 = -0.5x + 2.5

y = -0.5x + 1.5

Positive correlation means that both variables tend to increase (or decrease) together. Thus, Option A is the answer.

Positive correlation refers to a relationship between two variables in which an increase in one variable is associated with an increase in the other variable. Negative correlation, on the other hand, refers to a relationship in which an increase in one variable is associated with a decrease in the other variable. No correlation means that there is no relationship between the two variables.

To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, a correlation coefficient of -1 indicates a perfect negative correlation, and a correlation coefficient of 0 indicates no correlation.

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The Niagara Falls incline railway rises vertically by approximately 98 feet.

The angle of elevation of 30° indicates the angle between the incline railway and the horizontal ground. The total length of the incline railway is given as 196 feet.

To find the vertical rise, we can use trigonometry. The vertical rise can be determined by calculating the sine of the angle of elevation and multiplying it by the total length of the incline railway:

Vertical rise = Total length × sine(angle of elevation)

Vertical rise = 196 ft × sin(30°)

Vertical rise ≈ 196 ft × 0.5

Vertical rise ≈ 98 ft

Therefore, the Niagara Falls incline railway rises vertically by approximately 98 feet.

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Answer:

image not clear.

so I can't answer it .

Answer:

Step-by-step explanation:

10v - 6 = 24

10v = 24 + 6

10v = 30

v = 30/10 = 3

7 = 6r - 17

7 + 17 = 6r

24 = 6r

24/6 = r

4 = r

Prime

Hope it helps.

Do comment if you have any query.

Answer:

prime

Step-by-step explanation:

I tried to delete my answer

Answer:

1 1/8

Step-by-step explanation:

2/8 + 7/8

Since the denominators are the same, we add the numerators

9/8

This is an improper fraction, so we can rewrite this

8/8+ 1/8

1 1/8