I need help on this ​

Answer:

no as all fractions are rational numbers and that is a mixed fraction

Answer:

2

Step-by-step explanation:

1+1

2

2 ones equals 2 in total.

You can also use a calculator to input:

1

+

1

press equal

and it should give you 2.

Hope this helps :)

The joint probability density function (joint pdf) is a function used to characterize the probability distribution of multiple continuous random variables that together form a continuous random vector. The results of asking values are

a) E(X³) = 5.86

b)E(X/Y = 2) = 2

c) E(Y²) = 1.2

d) σᵧ= 0.7483

e) E(3Y) = 2.4

We are given that X, Y denotes the number of students and number of questions respectively.

P(X,Y) denote the joint probability mass function for X and Y. Also provide,

P(0,0)=0.04, P(1,0)=0.16, P(1,1)=0.1, P(2,0)=0.2, P(2,1)=0.3, P(2,2)=0.2.

Therefore the required quantities here are computed as:

P(X = 0) = 0.04

P(X = 1) = 0.26

P(X = 2) = 0.7

a) E(X³) = 0 + 1×0.26 + 23×0.7

= 5.86 is the required value here.

b) Now given Y = 2, the conditional Probability density function for X here is obtained as:

P(X = 2 | Y = 2) = 1

Therefore, E(X | Y = 2) = 2 here.

c) For Y, we have here:

P(Y = 0) = 0.4

P(Y = 1) = 0.4

P(Y = 2) = 0.2

Therefore,

E(Y²) = 0.4×1 + 22×0.2

= 1.2 is the required value here.

d) The standard deviation of Y here is computed as:

E(Y) = 1×0.4 + 2×0.2 = 0.8

S.D(Y) = sqrt( E(Y²) - [E(Y)]²) = sqrt( 1.2 - 0.82 )

= 0.7483 is the required value here.

e) E(3Y) = 3E(Y) = 3×0.8

= 2.4 is the required value here.

The probability that X > 1 and Y > 0 here is computed as:

= p( 2, 1). + p(2, 2) = 0.3 + 0.2 = 0.5 is the required probability.

Hence, we calculate all the required Probability values .

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Complete question:

A professor of Statistics records the number of students who attend office hours one day and the number of questions asked on any one day. Let X denote the number of students and Y the number of questions asked, and let P(X,Y) denote the joint probability mass function for X and Y.

Records indicate that P(0,0)=0.04, P(1,0)=0.16, P(1,1)=0.1, P(2,0)=0.2, P(2,1)=0.3, P(2,2)=0.2.

Thus, for any given day, the probability of, say, two students and 1 question is 0.3.

matches the concept value.

All options are same

a) E(X³)

b)E(X/Y = 2)

c) E(Y²)

d) σᵧ

e) E(3Y)

The result of 32 modulo 5 is 2, and when 1.6 is subtracted from 2, the final answer is 0.4.

Let's break down the calculation step by step:

32 modulo 5:  

The modulo operator (%) returns the remainder when one number is divided by another. In this case, 32 modulo 5 means dividing 32 by 5 and finding the remainder. When 32 is divided by 5, it results in 6, with a remainder of 2. Therefore, 32 modulo 5 is equal to 2.

Subtracting 1.6 from 2:

Subtracting 1.6 from 2 involves finding the difference between the two numbers. By subtracting 1.6 from 2, we get:

2 - 1.6 = 0.4

Thus, when 1.6 is subtracted from 2, the final result is 0.4. This means that there is a difference of 0.4 units between the values of 2 and 1.6 when subtracted from each other. It is important to note that the final answer, 0.4, represents the remaining value after the subtraction operation.

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Given:

yearly salary=28,800

Required:

To calculate adjusted monthly income

Explanation:

student loan

250 dollar

Answer:

• \(x\) = 42°

• \(y\) = 74°  

• \(z\) = 114°

Step-by-step explanation:

To solve these problems, we have to use the triangle sum theorem, which states that "the sum of all the interior angles of a triangle is 180°".

A)

\(x\) + 90° + 48° = 180°

⇒ \(x\)  + 138° = 180°

⇒ \(x\) + 138° - 138° = 180° - 138°      [Subtracting 138° from both sides]

⇒ \(x\) = 42°

B)

The triangle in this question is an isosceles triangle, therefore the two angles at the base of the triangle are equal and have measures of \(y\).

\(y\) + \(y\) + 32° = 180°

⇒ 2\(y\) + 32° = 180°

⇒ 2\(y\) = 180° - 32°

⇒ 2\(y\) = 148°

⇒ \(\frac{2}{2} y\) = \(\frac{148^{\circ}}{2}\)             [Dividing both sides by 2]

⇒ \(y\) = 74°                    

C)

\(z\) + 28° + 38° = 180°

⇒ \(z\) + 66 = 180°

⇒ \(z\)  = 180° - 66°

⇒ \(z\) = 114°

Answer:

\(\Huge \boxed{y=3x+6}\)

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

The slope can be found from two points.

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

The two points from the graph are (1, 9) and (2, 12).

Plugging in the values and evaluating.

\(\displaystyle m=\frac{12-9}{2-1}\)

\(\displaystyle m=\frac{3}{1}\)

\(m=3\)

The slope of the line is 3.

The y-intercept of the line is where the line cross the y-axis.

The line crosses the y-axis at (0, 6).

\(b=6\)

The slope-intercept form of the line is:

\(y=3x+6\)

Answer:

x²-x-20

Step-by-step explanation:

Using Vieta's formula

x²-(sum of roots)x+(product of roots)=0

x²-(5+-4)x+(5×-4)=0

x²-x-20=0

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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a) The demand function is p(x) = -0.001x + 59.

b) The ticket prices should be set to approximately $29.50 to maximize revenue.

(a) To find the demand function, we will use the two given points: (49,000 spectators, $10) and (51,000 spectators, $8). We can find the slope (m) and the y-intercept (b) for the linear function p(x) = mx + b.

The slope formula is (y2 - y1) / (x2 - x1). Using the given points, we get:

m = (8 - 10) / (51,000 - 49,000) = -2 / 2,000 = -0.001

Now, we can use one of the points to find the y-intercept (b). Let's use (49,000 spectators, $10):

10 = -0.001 * 49,000 + b
b = 10 + 0.001 * 49,000 = 10 + 49 = 59

So, the demand function is p(x) = -0.001x + 59.

(b) To maximize revenue, we need to find the price that results in the highest product of price and attendance. Revenue (R) = p(x) * x. Therefore, R(x) = (-0.001x + 59) * x. To find the maximum, we can take the derivative of R(x) with respect to x and set it equal to zero:

dR/dx = -0.002x + 59 = 0

Solving for x, we get:

x = 59 / 0.002 = 29,500 spectators

Now, we can plug this value into the demand function to find the optimal ticket price:

p(29,500) = -0.001 * 29,500 + 59 ≈ $29.50

So, the ticket prices should be set to approximately $29.50 to maximize revenue.

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Answer:

Neither

Step-by-step explanation:

Need same slope and diff y-intercept for parallel

Need the products of the slopes to equal -1 for perpendicular

Answer: Gill is 16 now

Step-by-step explanation: If the horse was 3 one year ago, and gill is five times as old as it, shed be 15. one year from now, the horse is 5 and Gill is 17, which combined, is 22. If she is 17 in one year, she is 16 now.

Answer:

Given:

The relation is:

\(\{(1, 2), (3, 5), (-2, 2), (3,6)\}\)

To find:

The pair of coordinates that clarify why this relation is not a function.

Solution:

A relation is called a function if there exist unique y-value for each x-value. In other words, if a relation has two outputs for a single input, then the relation is not a function.

The given relation is:

\(\{(1, 2), (3, 5), (-2, 2), (3,6)\}\)

This relation has two y-values 5 and 6 for a single x-value 3. Since the y-value is not unique all all values of x, therefore the relation is not a function.

Hence, the pairs of coordinates (3,5) and (3,6) clarify that the given relation is not a function.

The mean, mode, and median of the data from the study on families with 6 children are:

Find the total number of girls by multiplying each frequency by its corresponding number of girls and adding them up:

(0 x 1) + (1 x 24) + (2 x 45) + (3 x 54) + (4 x 50) + (5 x 19) + (6 x 7) = 613

Find the mean by dividing the total number of girls by the total frequency:

mean = 613 / (1 + 24 + 45 + 54 + 50 + 19 + 7) = 3.07(rounded to two decimal places)

Find the median by finding the middle number of the set. To do this, we need to add up the frequencies until we reach the middle:

1 + 24 + 45 = 70 (less than the halfway point)

70 + 54 = 124 (greater than the halfway point)

This means that the median is 3.

The mode can be found by finding the number that occurs most frequently. In this case, the mode is 3, since it occurs 54 times.

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Answer:

c=100 the angles in a hexagon =720 so subtract all the angles from 720. 720-155-80-115-160-110=100

Answer:

1st and 2nd to last

Step-by-step explanation:

Answer:

x< -3 is correct answer...........

Answer:

Step-by-step explanation:

The minute hand of a clock overtakes the hour hand at intervalsof M minutes of correct time. The clock gains or loses in a day by=(720/11−M)(60×24/M) minutes.

Here M = 64. The clock gains or losses in a day by

=(720/11−M)(60×24/M)=(720/11−64)(60×24/64)

=16/11(60×3/8)=2/11(60×3)=360/11=32(8/11) minutes.

Answer:

the y value is 5. (-1,5)

Step-by-step explanation:

first you plug in -1 to the equation where the x is. f(-1)=-2(-1)+3. then solve with a calculator and you will get 5 as your y value. plug the equation in Desmos.

Answer:

the y value is 5. (-1,5)

Step-by-step explanation:

first you plug in -1 to the equation where the x is. f(-1)=-2(-1)+3. then solve with a calculator and you will get 5 as your y value. plug the equation in Desmos.

Answer:

Step-by-step explanation:

step 1 : finding the area of a floor using trapezius area formula

A= \(\frac{(10+14)*6}{2} = \frac{24*6}{2} =72 m^{2} \\\)

step 2 : the problem said 1 litre of paint convers an area of 2.5 m^2, so let's calculate how many liters of paint are needed to paint the floor

\(\frac{72 m^2}{2.5 m^2} = 28.8 litre\\\)

so we need 28.8 litre to paint the floor

step 3 : Each tin is 5 litre of paint so let's calculate how many tins do we need

n=\(\frac{28.8}{5} = 5.76 \\\)

we can't by 5.76 tins so it's 6 tins

step 4 : Each tin costs 21.99 and now we calculate how much 6 tins cost for us

cost = 6 × 21.99 = 131.94

step 5 : Gary has a budget of 150 and the total cost is 131.94. So, Gary has enough money to buy all the paint he needs.

Answer:

Yes by SAS

Step-by-step explanation:

3/9 is similar to 5/15

Hope this helps!!! Have a great day!!! :)

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Answer:

1 minute and 12 seconds is 2 % of an hour.

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Answer:

x+112°+133°+128°+100°+120°=720°(angle sum property of hexagon is 720)

x+593°=720°

x=720°-593°

x=127°

hope u understood!

Answer:

b=-a

Step-by-step explanation:

Becaude when b is positive a will be negative

And when b is negative a will be positive.

Answer:

 Learn-a-Lot Academy will order 78 cases of pencils.

Step-by-step explanation:

Hope this helped!

Answer:

4

Step-by-step explanation:

12 times 24=288 in one case

900 divided by 288=3.125 round it to the nearest whole number so you can get the right amount

The x-intercepts are -5 and 3, and the y-intercept is -15.

To find the x-intercepts and y-intercept of the given equation, y = (x + 5)(x - 3), we can set y to 0 to find the x-intercepts and set x to 0 to find the y-intercept.

X-intercepts:

Setting y = 0, we have:

0 = (x + 5)(x - 3)

To find the x-intercepts, we set each factor equal to zero and solve for x:

x + 5 = 0 or x - 3 = 0

Solving these equations:

For x + 5 = 0:

x = -5

For x - 3 = 0:

x = 3

So, the x-intercepts are x = -5 and x = 3.

Y-intercept:

Setting x = 0, we have:

y = (0 + 5)(0 - 3)

y = (5)(-3)

y = -15

Therefore, the y-intercept is y = -15.

To summarize:

X-intercepts: x = -5 and x = 3

Y-intercept: y = -15

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When the diameter of the sphere is 60 mm, its radius is 30 mm. The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius.

To find how fast the volume is increasing, we need to take the derivative of V with respect to time, which gives dV/dt = 4πr^2 (dr/dt). Substituting the given values, we get dV/dt = 4π(30)^2 (2) = 7200π mm^3/s. Therefore, the volume of the sphere is increasing at a rate of 7200π mm^3/s when the diameter is 60 mm. The radius of a sphere is increasing at a rate of 2 mm/s. When the diameter is 60 mm, the radius is 30 mm. The volume of a sphere is given by the formula V = (4/3)πr³. Using the chain rule, dV/dt = (4/3)π(3)r²(dr/dt), where dV/dt is the rate of volume increase and dr/dt is the rate of radius increase. Plugging in r = 30 mm and dr/dt = 2 mm/s, we get dV/dt = 4π(30)²(2) = 7200π mm³/s. So, the volume is increasing at a rate of 7200π mm³/s when the diameter is 60 mm.

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