Suppose that X is a random variable with mean 20 and standard deviation 5. Also suppose that Y is a random variable with mean 40 and standard deviation 10. Assume that the correlation between X and Y is 0.5. Find the mean and variance of the random variable Z = ????3X ???? 2Y . Be sure to show all your work.

Answer:

10 weeks

Step-by-step explanation: 100÷10=10

big brain

Answer:

9 week and 4 days

Step-by-step explanation:

Answer:

2x+20=40

Step-by-step explanation:

40

Step-by-step explanation:

i did 20x2=40 to find the answer

Answer:4/5 > 5/7 > 3/8 > 1/3 > 2/7

Step-by-step explanation: just make them all one denomator and do the greatest to least greatest

Answer:

False

Step-by-step explanation:

For the one on the left I got 234 and the one on the right I got 248

In order to find the average, you need to sum all values and the result divided by the number of values.

For example, let's say that you have these values: 2, 3, 4, 5 ,5 ,6 ,7.

The first

The second step is divide this result by the number of values:  

Hence, the average for this example is 4.6.

Answer:

Second quadrant

Step-by-step explanation:

[tex] \because \: \frac{ \pi}{2} < \theta < \pi \: bounds \: second \: quadrant \\ \\ \therefore \: \sin \theta = \frac{4}{5 } \: lies \: in \: second \: quadrant.[/tex]

Answer:

x = -4 or 2

Step-by-step explanation:

We are told that S is the midpoint of RT.

Thus; RS = ST.

Now we are told that RS = x² and ST = 8 - 2x

Thus;

x² = 8 - 2x

x² + 2x - 8 = 0

Using quadratic formula;

x = [-2 ± √(2² - 4(1 × - 8))]/(2 × 1)

x = (-2 ± √36)/2

x = (-2 ± 6)/2

x = -4 or 2

Answer:

(a) C = 0.29t + 2.50

(b) 5

Step-by-step explanation:

The variables are defined as follows:

t = the number of  toppings

C = total cost for ice cream

It is provided that:

(a)

The algebraic equation to find the total cost for ice cream depending on the number of  toppings is:

C = 0.29t + 2.50

(b)

Compute the number of toppings Mr. Torrance can buy if  he wants to spend only $4.00 on it as follows:

C = 0.29t + 2.50

4.00 = 0.29t + 2.50

0.29t = 4.00 - 2.50

0.29t = 1.50

t = 5.1724

t ≈ 5

Thus, Mr. Torrance can buy 5 toppings.

Answer:

(a-z)/g =v

Step-by-step explanation:

Answer:

v = (A-Z)/g

Step-by-step explanation:

you would put A-Z over g

A = Z + vg

Subtraction property of equality

A-Z = vg

division property of equality

(A-Z)/g = v

Symmetric property of equality

v = (A-Z)/g

Answer:

there is no graph. can you edit the question?

Answer:

Ok:

Step-by-step explanation:

Welp, I don't see the graph but I can tell you what to do. You find x = 4, and draw a vertical line up. Once your line reaches the graph, see what the y value is. If the question is nice, you should get an exact integer number

Answer:

6

Step-by-step explanation:

Answer:

a. is 2/21 hours to complete one task

b. is 10 1/2 tasks in one hour

Robot takes 2/21 hour to complete the task.

In one hour, robot complete 21/2 task.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Time taken to complete 7 tasks = 2/3 hours.

To find the time taken to complete one task and tasks that completed in one hour,

Use ratio method,

7 tasks take = 2/3 hours

1 task takes = 2/(3 x 7) = 2 / 21 hours.

In 2/3 hours = 7 tasks completed,

1 hour = 21/2 tasks.

In one hour, 21/2 tasks can be completed.

To know more about Ratio on:

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Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

18 + 45 - 9(2)

PEM -> 18 + 45 - 18

AS -> 45 (18 and - 18 = 0)

Answer:

45%

Step-by-step explanation:

Since we are given the total spent (denominator) and the amount spent on the fruit (numerator) we can simply divide one by the other which would give us the percentage, in decimal form, of the total that he spent on fruit. We then multiply this decimal by 100 to get the actual percentage value like so...

[tex]\frac{27}{60} = 0.45[/tex]

0.45 * 100 = 45%

Finally, we can see that the percentage of the total amount that was spent on fruit was 45%.

Answer:

No . Mia states that the sum of the weights should be less than 15,000 .

Step-by-step explanation:

42x150=7050

42x210=8820

7050 + 8820 = 15,870 which is not less than 15,000

Answer:

5

Step-by-step explanation:

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

Answer:

6

Step-by-step explanation:

12

-3

----

9 divided by 1.50= 6

Kenya buy 6 candy bars.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Give:

Kenya spent a total of $12.00 on soda and candy.

The soda cost $3.00 and each candy bar cost $1.50.

Now, Money left after spending on Candy

= 12- 3

= $9

Now, number of candy bars Kenya buy is

= 9/ 1.50

= $6

Hence, Kenya buy 6 candy bars.

Learn more about Unitary Method here:

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Answer:

P=$254

Step-by-step explanation:

let Hot N' Spicy be x

and Mild Mannered be y

  the objective function is

38x+35y=P

the constraints are

1. tomato sauce

2x+3y=18--------1

2. hot peppers

2x+y=10--------2

solving 1 and 2 we have

using substitution method

2x+y=10--------2

y=10-2x

put y=10-2x in eqn 1

2x+3(10-2x)=18

2x+30-6x=18

2x-6x=18-30

-4x=-12

x=12/4

x=3

put x=3 in eqn 2 we have

2(3)+y=10

6+y=10

y=10-6

y=4

He should make 3 gallons of Hot N' Spicy

and 4 gallons Mild Mannered

38(3)+35(4)=P

114+140=P

254=P

P=$254

Answer:

27+8x

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

30 because she has 30 yellow beads and we can take away 30 from the other numbers. So 30 is the greatest number of strings of beads she can make. Hope this helped,have a great day!

Answer: 49.4%

Hope this is the answer you are looking for!

Answer:

49.44%

Step-by-step explanation:

Answer:

√23 = a

Step-by-step explanation:

/ab/²= /ac/²+/bc/² (Pythagoras theorem)

12² = a² +11²

144 = a² + 121

144 - 121 = a²

23 = a²

√23 = a

Answer:

$16

Step-by-step explanation:

4 * 8 = 32

32/ 2 = 16

If she saves four dollars a week for eight weeks and divides her savings to donate to two charities, each charity would recieve $16

Answer:

45=2w+L and L=2w+5          

45=2w+L                                  45=2w+(2w+5)

                                                45=4w+5

                                                40=4w

                                                10=w                  

L=2w+5                                    L=2(10)+5

                                                L=20+5

                                                L=25                        

The length of the patio is 25 feet and the width of one side of the patio is 10 feet. Because there are two width sides and one length side, this all adds up to be 45 feet long.

Can I get brainliest please?

Answer:

The blue paint with a unit price of [tex]34.96\,\frac{USD}{gal}[/tex] is the most economic option for the painter. (Cost: [tex]x = 8.74\,\frac{USD}{qt}[/tex])

Step-by-step explanation:

Both gallon and quart are capacity units, we must keep in mind that a gallon equals 4 quarts. We need to convert each price in the same units. In this case, we decided to use US dollars per quart as our reference unit. Hence:

Blue paint 1 ([tex]16.64\,\frac{USD}{qt}[/tex])

No unit conversions are needed.

Blue paint 2 ([tex]34.96\,\frac{USD}{gal}[/tex])

We proceed to the following conversion:

[tex]x = 34.96\,\frac{USD}{gal}\times \frac{1\,gal}{4\,qt}[/tex]

[tex]x = 8.74\,\frac{USD}{qt}[/tex]

The blue paint with a unit price of [tex]34.96\,\frac{USD}{gal}[/tex] is the most economic option for the painter. (Cost: [tex]x = 8.74\,\frac{USD}{qt}[/tex])

hello,

y-coordinate is found by computing f(0)=c

so this is the point (0,c)

the vertex is found for x = -b/(2a)

[tex]f(\dfrac{-b}{2a})=\dfrac{ab^2}{4a^2}-\dfrac{b^2}{2a}+c\\\\=\dfrac{b^2-2b^2+4ac}{4a}\\\\=-\dfrac{b^2-4ac}{4a}[/tex]

So this is the point ( -2(2a), -(b^2-4ac)/(4a) )

thanks

The vertex of the parabolic graph is, [tex]\rm\left ( -4a, \dfrac{-b^2+4ac}{4a} \right ) \\\\[/tex]

Given that,

[tex]\rm f(x) = ax^{2} +bx+c[/tex]

We have to determine,

The y-coordinate of the vertex of the parabolic graph?

According to the equation,

The vertex of a parabola is the point at which the parabola passes through its axis of symmetry.

In case the coefficient of the x² term is positive, and then the vertex will be located at the lowest point on the graph, the point at the base of the “U”-shape.

On the contrary, if the coefficient of the x² term is negative, the vertex will be located at the highest point on the graph, at the top of the “U”-shape.

Therefore,

The vertex of the parabola of the given quadratic equation,

[tex]\rm f(x) = ax^{2} +bx+c[/tex]

The co-ordinate is founded when x = 0,

[tex]\rm f(x) = ax^{2} +bx+c\\\\\rm f(0) = a(0)^{2} +b(0)+c\\\\\rm f(0) = c[/tex]

Then, The vertex is found at point (0, c) at x = -b\2a,

[tex]\rm f \left (\dfrac{-b}{2a }\right) = a\left (\dfrac{-b}{2a }\right) ^2 + b \left (\dfrac{-b}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = a \left (\dfrac{b^2}{4a^2 }\right)- \left (\dfrac{b^2}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = \left (\dfrac{b^2}{4a }\right)- \left (\dfrac{b^2}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = \dfrac{b^2-2b^2+4ac}{4a}\\\\f \left (\dfrac{-b}{2a }\right) = \dfrac{-b^2+4ac}{4a}\\\\[/tex]

Hence, The vertex of the parabolic graph is, [tex]\rm\left ( -4a, \dfrac{-b^2+4ac}{4a} \right ) \\\\[/tex].

For more details refer to the link given below.

https://brainly.com/question/1254213

Answer:

-14

Step-by-step explanation:

[tex]10 - 2(12) = - 14[/tex]

Answer:

5x2=10+10=20+12= 32.

Step-by-step explanation

The correct answer is 32.

Hope I helped.