PLEASE SOLVE THIS FOR ME. I ONLY KNOW THAT THE ANSWER WILL HAVE AN X IN IT

A probability mass function (pmf) for a random variable X must satisfy the following two conditions:
1. f(x) ≥ 0 for all x
2. Σf(x) = 1

(a) f(x) = x/c
To find the constant c, we can use the second condition and sum over all possible values of x:
Σf(x) = Σ(x/c) = 1/c Σx = 1
Since we don't have a specified range for x, we cannot solve for c.

(b) f(x) = cx
Again, we can use the second condition to find the constant c:
Σf(x) = Σ(cx) = cΣx = 1
Without a specified range for x, we cannot solve for c.

(c) f(x) = c(1/4)^x
Using the second condition:
Σf(x) = Σ(c(1/4)^x) = cΣ(1/4)^x = 1
We can use the formula for an infinite geometric series to find the sum:
Σ(1/4)^x = 1/(1 - 1/4) = 4/3
So, c = 3/4

(d) f(x) = c(x + 1)^2
Using the second condition:
Σf(x) = Σ(c(x + 1)^2) = cΣ(x + 1)^2 = 1
Without a specified range for x, we cannot solve for c.

(e) f(x) = x/c
This is the same as part (a), so we cannot solve for c without a specified range for x.

(f) f(x) = c/(x+1)(x+2)
Using the hint, we can rewrite f(x) as:
f(x) = c(1/(x+1) - 1/(x+2))
Using the second condition:
Σf(x) = Σ(c(1/(x+1) - 1/(x+2))) = cΣ(1/(x+1) - 1/(x+2)) = 1
We can use the formula for a telescoping series to find the sum:
Σ(1/(x+1) - 1/(x+2)) = 1 - 1/(x+2)
As x approaches infinity, the sum approaches 1.
So, c = 1

To depict each pmf as a line graph, we would plot the values of f(x) on the y-axis and the values of x on the x-axis. However, without a specified range for x, we cannot create accurate graphs for parts (a), (b), (d), and (e). For part (c), the graph would be a decreasing exponential curve, with f(x) approaching 0 as x increases. For part (f), the graph would be a decreasing curve, with f(x) approaching 0 as x increases.

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From the angle property of triangle :

The sum of all angles in the triangle are equal to 180 degrees.

In the given triangle DEF

The value of

Answer :

Answer:

12 and 5

Step-by-step explanation:

12+5=17

12x5=60

Answer:

Step-by-step explanation:

5 12 step by step

Answer:

640.23. 63.08. 19.455. 6.682. 0.65

Step-by-step explanation:

if you look at the whole number you can see which is greater and which is less, if you still can't figure it out then, look at the tenths then hundredths and finally thousandths

The triangle on the left side has two legs of length 4 m and 6 m. It's a right triangle, so the hypotenuse has length √((4 m)² + (6 m)²) = 2√13 m. Only the 4 m leg and the hypotenuse count towards the shape's overall perimeter.

The rectangular part contributes 9 m from the top side and 9 m from the bottom one, thus a total of 18 m.

The half-circle has diameter 6 m (indicated by the dashed line, same as the height of the triangle on the left). A full circle with diameter d has circumference πd ; a half-circle with the same diameter would then contirubte πd/2, or in this case, 3π m.

So, the total perimeter of the shape is

(4 m + 2√13 m) + 18 m + 3π m ≈ 38.6 m

Answer:

-81,-1.3,-1/3,0.1,12

Step-by-step explanation:

ur welcome :)

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

136 m²

Step-by-step explanation:

Bottom: 6x7=42

Sides: 5x7x2=70

Triangles: 2x1/2x6x4=24

42+70+24=136

Answer:

B. 16.5

Step-by-step explanation:

Here we can use the opposite and the adjacent from the angle with measurement 20, or tan.

tan theta = opposite / adjacent

Substitute values.

tan 20 = 6 / x

Multiply by x.

x * tan 20 = 6

Divide by tan 20.

x = 6 / tan 20

Evaluate tan 20.

x = 6 / 0.36397023

Divide.

x = 16.48486451

Rounded to the nearest tenth, that makes your answer

B, 16.5

The vertical forces on block A are: the force of gravity acting downwards with a magnitude of 40 N, and the normal force of the wall acting upwards with a magnitude of 40 N. It is not possible to determine the magnitude of the frictional force between block A and block B without knowing the coefficient of static friction.

The force of gravity on block A is equal to its mass (4 kg) times the acceleration due to gravity (10 m/s^2), which gives a magnitude of 40 N. Since block A is in contact with the wall, there must be a normal force acting on it from the wall to counteract the force of gravity. This normal force has the same magnitude as the force of gravity on block A. Therefore, the magnitude of the normal force of the wall on block A is also 40 N.

The frictional force between block A and block B depends on the coefficient of static friction between the two surfaces in contact and the normal force of block A on block B. Since we are not given the coefficient of static friction, we cannot determine the magnitude of the frictional force.

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The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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For the given polynomial function,

f(x) = (x + 2)² (x - 4) (x + 1)

The roots of f(x) is -2 with multiplicity 2 , 4 with multiplicity 1 and -1 with multiplicity 1.

So, correct option is option(A).

Roots of a polynomial is defined as the values of a variable(i.e x) for which the given polynomial is equal to zero. If "a" is the root of the polynomial q(x), then q(a) = 0.

We have given that,

f(x) = (x + 2)² (x - 4) (x + 1)

we have find out all roots of f(x) .

The roots of polynomial function are the values of x which gives f(x) = 0 so,

( x + 2)²(x - 4) (x + 1) = 0

product of three factors equal to zero implies that either one , two or all are equal to zero

mathematically, ( x+2)² = 0 or (x - 4) = 0 or

(x + 1)=0

Now, ( x+2)² = 0 gives x= -2 with multiplicity 2 because power of factor 2 .

similarly, (x - 4) = 0 , gives x = 4 with multiplicity 1

(x + 1) = 0 => x = -1 with multiplicity 1

So, we got all the three roots of given f(x) i.e -2, 4, -1..

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Complete question:

Which of the following describes the roots of the polynomial function f(x) = (x + 2)^2 (x - 4) (x + 1)?

a) -2 with multiplicity 2, 4 with multiplicity 1, -1 with multiplicity 1,

b)-2 with multiplicity 3, 4 with multiplicity 2, and -1 with multiplicity 1

c) 2 with multiplicity 2, -4 with multiplicity 1, and 1 with multiplicity 1

d)2 with multiplicity 3, -4 with multiplicity 2, and 1 with multiplicity 4

Answer:

n=639.48

Step-by-step explanation:

Answer:

639.48

Step-by-step explanation:

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

3

Step-by-step explanation:

30 + 18 = 48

5 + 3 = 8, 6 x 8 = 48

If this was helpful vote brainliest :)

Answer: you combine like terms to get 10x+9

Step-by-step explanation: 4+5+1 is 10 and 7+2 is 9.

Answer:

10x+9

Step-by-step explanation:

Answer:

• 7x+6=5(X+6)

Step-by-step explanation:

Let x represent Harry's age now, and Nick's age now is 7x. [t]

In 6 years, Harry is x + 6 , and it is given that Nick's age will be 5(x+6). [t+6]

Combining [t] and [t+6], 7x + 6 = 5(x+6).

So the formula 7x + 6 = 5(x+6) represents the problem.

And x = 12 , so Harry's age in 6 years will be x +6 or 18 years .

hope this helped, happy learning

The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Join the points B and O and then join points D and O

Angle A = (1/2)Angle BOD

Angle B = 140 degrees

Angle A = (1/2)140 degrees

Angle A = 70 degrees

Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

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The row of tiles would be 24 1/2 inches long.

B:The  row of 10 tiles would be 35 inches long.

A 1. To be able to know the length of the row of tiles, one need to multiply the length of one tile by the number of tiles in the said  row.

So, all tile measures 3 1/2 inches on each side, Hence  the length of one tile is 3 1/2 inches.

Based on the fact that there are 7 tiles in a row, we have to multiply the length of one tile by 7:

Length of the row = 3 1/2 inches/tile x 7 tiles

                              = 24 1/2 inches

So, the row of tiles is 24 1/2 inches long.

B 2. Also, to find the length of a row of 10 tiles, we need to multiply the length of one tile by 10.

Note that:

Length of one tile = 3 1/2 inches

Number of tiles in the row = 10

Hence:

Length of the row = 3 1/2 inches/tile x 10 tiles

                               = 35 inches

So, the row of 10 tiles is 35 inches long.

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Answer:

All of the above they are multiples

Step-by-step explanation:

9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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The explanation 3 is the path that tells us that the interlopers would have to come between the men in the story.

The summary here is that the men are faced with a face off. That is they were to fight themselves till they killed themselves.

But while they were to fight they are met with the interloper which is a more ferocious danger that they are facing.

This tells us that they both have more on their plate at the moment.

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x - 6 = - 4

Answer: x = 2

x + 3 = -7

Answer: x = -10

5x = -2

Answer: x = -0.4

0.5x = 5

Answer: x = 10

The solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

Given the following equations

x − 6 = -4

Add 6 to both sides

x - 6 + 6 = -4 + 6

x = -4 + 6

x = 2

For the equation x + 3 = -7

Subtract 3 from both sides

x + 3 -3 = -7 - 3

x = -10

For the equation 5x = -2

x = -2/5

x = -0.4

For the equation

0.5x = 5

x = 5/0.5

x =10

Hence the solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

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Answer:

Step-by-step explanation:

5/3 *2=10/6

10/6-6/6=4/6

Answer:

The slope is 0

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Where the values of x and y are from the known points

Here the points are (-2,2) and (-1,2)

So we have (x1,y1) = (-2,2) and (x2,y2) = (-1,2)

This means, x1 = -2 , x2 = -1 , y1 = 2 and y2 = 2

We now plug these values into the slope formula

Recall slope = (y2 - y1) / (x2 - x1)

==> plug in x1 = -2 , x2 = -2 , y1 = 2,  y2 = 2

Slope = (2 - 2) / (-1 - (-2)

==> remove parenthesis

Slope = (2-2)  / (-1 + 2)

==> simplify addition and subtraction

Slope = 0 / 1 = 0

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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The amount of budget cut from last year's budget which was $166,245 will be $54860.85 which is nearly  $55,415 from the given option. Hence the correct option is (B).

The percentage is the 1 of the hundred or simply the amount or value of any number or data in the range of 100 called percentage.

For example, if Ramesh got 87 marks out of 150 then it required a lot of attention to drawing a conclusion about Ramesh's marks but if I say Ramesh got 58% then it will be easier to think and draw any conclusion.

Given that last year budget was $166,245 and the cut was 33% so it means it will be 0.33 of the $166,245 so

$166,245 × .33 = $54860.85 but in option, it is not mentioned so the nearest answer among the option will be (B).

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