The random variable X has a p.d.f P(X=x) foe x= 1,2 3 as shown below
E(x)=∑ XiPi
Find
i) E(x)
ii) E(3)
ii) E(x²)
iv) E(5x+3)

The congruent reason for the triangles is (b) HL theorem

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

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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Answer:

Option D.

Step-by-step explanation:

Convert each to a decimal.

pie + 8 = 11.14

5 and the square root of 20 = 22.36

10/ the square root of 3 = 5.77

Now put them in order from least to greatest.

10/ the square root of 3, pie + 8, 5 and the square root of 20.

Option D is your answer!

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

=====================================

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

When solving a linear system of equations, you are looking for the points of intersection between the equations

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

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

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Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

Answer:

k+5=11

Step-by-step explanation:

Answer:

k=6

Step-by-step explanation:

k+5=11 (this is an algebraic expression)

k=11-5 (you move 5 to the left)

k=6

Answer:

vhdvbhahshsh

shsljjhsishhgdddndhd

She earns overtime pay when she works more than 40 hours in one week . The number of overtime pay she works for the weeks of march 4 can be calculated below

Answer:

.16 or 4/25

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

\(\frac{4}{5}\)×\(\frac{1}{5}\)

multiply tops together and denominators together and get \(\frac{4}{25}\)

Answer:

            4  to  1

Step-by-step explanation:

                                                Tablespoon of cocoa   to Tablespoon of sugar

                                                                          8             :                2

                                                                          \(\frac{8}{2}\)              :                \(\frac{2}{2}\)

                                                                          4             to                1

When recipe is doubled:                             ( 8 x 2)         to        (2 x 2)

                                                                         16             :              4

                                                                         \(\frac{16}{4}\)             :               \(\frac{4}{4}\)

                                                                          4           to              1

It can be observed that the ratio remains the same

Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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Answer:

a) 20

b) 6

Step-by-step explanation:

That's what I got.

For A, find 2/9 of 90 and for B, find 2/9 of 27

Answer:

\(40*a*b\)

Step-by-step explanation:

40ab is 40 multiplied by a multiplied by b

The correct option is G. The lines are perpendicular.

Given that there are two lines, y = 2 and x = 2, we need to check the options according to their graph.

Drawing the graph of the lines we get the lines are intersecting at point (2, 2).

The equation y = 2 represents a horizontal line parallel to the x-axis at a y-coordinate of 2.

This line is completely independent of the x-coordinate and passes through all points where y = 2.

The equation x = 2 represents a vertical line perpendicular to the x-axis at an x-coordinate of 2.

This line is completely independent of the y-coordinate and passes through all points where x = 2.

Since the lines are perpendicular to each other and have no slopes, they are not parallel, and since intersecting at (2, 2) not at (2, 0).

Therefore, the options F, H, k or J do not accurately describe the relationship between the graphs.

Hence, the correct option is G.

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Answer:

Step-by-step explanation:

surface area of a square pyramid

= Area of base + 1/2 base perimeter * slant height

= (3 x 3) + (1/2 x (3*4) x 5)

= 9 + 30

= 39 km²

Answer:

5km

Step-by-step explanation:

A - her office

E - her home

AB = 1km; BC = CE = 4km

AE - the shortest disctance between her office and home.

ADE - right triangle, where AD = 4km, ED = 3 (EC - CD) =>

According to the Pythagorean theorem , we make up the equation:

AE = √ED^2 + AD^2 = √25 = 5km

well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.

now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)

Answer:a

Step-by-step explanation:trust me bro

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Answer:

40

Step-by-step explanation:

5-2(3+9)+4

5-2(12)+4

3(12)+4

36+4

40

Answer:

50

Step-by-step explanation:

4 x 1=4

2.5 x 5=12.5

12.5 x 4=50

So 50 is the answer can i have brainliest now please

Answer:

y=-1/10x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-1/10(x-(-10))

y+4=-1/10(x+10)

y=-1/10x-10/10-4

y=-1/10x-1-4

y=-1/10x-5

Answer:

1:2

Step-by-step explanation:

You do 4:2 then divide 2 on each side which is 1:2

Answer:

y + 5 = 3y - 1

2y = 6, so y = 3

4x - 2 = x + 10

3x = 12, so x = 4

the correct option is a. difference between the groups' averages, large absolute

I am trying to perform an A/B test to see if two samples come from the same underlying distribution. My alternative hypothesis is that the samples do not come from the same underlying distribution. The difference between the groups should be chosen as the test statistic averages  large absolute values of this statistic provide evidence in favor of the alternative hypothesis.

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Answer: 2x + 12

Step-by-step explanation:

Let the cost of each sweater be x.

since she's buying 2, the total cost of the sweaters will be 2x.

Just tack on the + 12 at the end for the sunglasses :)

Answer: The exponential function to model the value of the land over time t (in years) is given by:

V(t) = 6500 * e^(-0.016t)

So, to find the value of the land in 1999 (10 years after 1989), we can plug in t = 10 into the equation:

V(10) = 6500 * e^(-0.016 * 10) = 6500 * e^(-0.16) = 6500 * 0.8499 = 5524.935

Therefore, the approximate value of the land in 1999 was approximately $5524.935.

Answer:

C. Yellow only

Step-by-step explanation:

I mean, its 45 minutes, and only the yellow bar includes 45.

Answer:

Step-by-step explanation:

The question has typographical errors. The correct question is:

"A 12​-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 3 ​feet/second, how fast is the top of the ladder moving down when the foot of the ladder is 5 feet from the​ wall?

Solution:

The ladder forms a right angle triangle with the ground. The length of the ladder represents the hypotenuse.

Let x represent the distance from the top of the ladder to the ground(opposite side)

Let y represent the distance from the foot of the ladder to the base of the wall(adjacent side)

The bottom of the ladder is sliding along the pavement directly away from the building at 3ft/sec. This means that y is increasing at the rate of 3ft/sec. Therefore,

dy/dt = 3 ft/s

The rate at which x is reducing would be

dx/dt

Applying Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side², it becomes

x² + y² = 12²- - - - - - - -1

Differentiating with respect to time, it becomes

2xdx/dt + 2ydy/dt = 0

2xdx/dt = - 2ydy/dt

Dividing through by 2x, it becomes

dx/dt = - y/x ×dy/dt- - - - - - - - - - 2

Substituting y = 5 into equation 1, it becomes

x² + 5 = 144

x² = 144 - 25 = 119

x = √119 = 10.91

Substituting x = 10.91, dy/dt = 3 and y = 5 into equation 2, it becomes

dx/dt = - 5/10.91 × 3

dx/dt = - 1.37 ft/s

Answer:

A, I think

Step-by-step explanation:

The probability of a number between 500 and 900 inclusive having exactly two consecutive identical digits is 0.1875 or 18.75%

To find the probability of numbers lying between 500 and 900 inclusive with exactly two consecutive figures being identical, we need to count the number of possible numbers that satisfy this condition and divide by the total number of possible outcomes in the given range.

There are 9*10=90 possible numbers with two consecutive identical digits.

There are 400 numbers between 500 and 900 inclusive.

To count the number of possible numbers with two consecutive identical digits between 500 and 900, we can use the following approach:

For the numbers between 500 and 599, there are 5 choices for the first digit (5 to 9) and 9 choices for the second digit (excluding the first digit and also excluding 0 because the number should be between 500 and 599). So, there are 5*9=45 possible numbers with two consecutive identical digits in this range.

For the numbers between 600 and 899, there are 3 choices for the first digit (6 to 8) and 10 choices for the second digit (0 to 9, including the first digit).

So, there are 3*10=30 possible numbers with two consecutive identical digits in this range.

There are 45+30=75 possible numbers with two consecutive identical digits between 500 and 900.

The probability of a number between 500 and 900 inclusive having exactly two consecutive identical digits is given by the ratio of the number of possible numbers with two consecutive identical digits to the total number of possible outcomes in the given range:

Probability = (number of possible numbers with two consecutive identical digits) / (total number of possible outcomes)

Probability = 75 / 400

Probability = 0.1875

Therefore, the probability of a number between 500 and 900 inclusive having exactly two consecutive identical digits is 0.1875 or 18.75%.