If X and Y are two independent random variables with μx= 140, μy
= -20, σx = 8, and σy = 4, then
i) Find the expected value of 5 X -6 Y -130.
ii) Find the variance of 5 X -6 Y -130
iii) Find the s

Answer:

B

Step-by-step explanation:

Complex solutions occur in conjugate pairs, thus

if - 4 + 7i is a solution then - 4 - 7i is also a solution

Answer:

\(x=\frac{y}{3b-7}\)

Step-by-step explanation:

Rewrite the equation as \(3bx-7x=y\).

Factor  x  out of  3 b x

\(x(3b)-7x=y\)

Factor \(x\) out of \(x(3b)+x*-7\)

\(x(3b-7)=y\)

Divide each term by \(3b-7\)   and simplify.

Divide each term in \(x(3b-7)=y\) by \(3b-7\).

\(\frac{x(3b-7) }{3b-7} =\frac{y}{3b-7}\)

Cancel the common factor of \(3b-7\)

Answer:

1: 5

2: 67

3: 65

4:  30

5: 210

6: 210

Step-by-step explanation:

Answer:

adjacent

Step-by-step explanation:

It is the leg that touches the 18 degree angle

Answer:

Number of people with polio.

Ice cream sales.

Seems like a weird thing to be correlated but I saw a graph with this example and people used to think that ice cream was the reason for polio. It's obvious there's no causation!

hope this helps!!

Answer:

True.

Explanation:

When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)

The length of w is 251.8 cm, to the nearest 10th of a centimeter.

Length is a measure of one dimension of a physical object or space. It is typically taken to mean the longest dimension of an object, though it can also refer to the overall size of a two-dimensional object or shape, such as a rectangle. Length is generally measured in units such as meters, feet, or inches. Length is an important concept in many fields, such as geometry, physics, engineering, and architecture. It is also used to calculate distances between two points in space.

The formula to calculate the length of w is as follows: w=√(x2 +V2-2xVcosm/V). Substituting the given values, we get w=√(2602 + 802-2(260)(80)cos80°). Simplifying this expression, we get w=251.8 cm. So, the length of w is 251.8 cm, to the nearest 10th of a centimeter.

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Answer:

Yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

The difference between a credit score of 699 and 700 is 14.125% and 13.125% APR interest rate for a 4-year (48-months) loan of $7500.

With APR of 14.125% compounded yearly, the total loan payment after 4 years is

= $7500 * (1 + 14.125%)^4

= $7500 * 1.14125^4

= $12722.85

With APR of 13.125% compounded yearly, the total loan payment after 4 years is

= $7500 * (1 + 13.125)^4

= $7500 * 1.13125^4

= $12282.75

So you will save by having a credit score above 700:

= $12722.85 - $12282.75

= $440.10

Please note that posting the same question multiple times does not usually help in getting an answer :)

Answer: The length of one wall is 16ft

Step-by-step explanation: √256=16ft

Answer:

64ft

Step-by-step explanation:

256 divided by 4 since it is a square they are all even corners.

The horses' average speeds are approximately:

(a) mi/s: 0.0102 mi/s

(b) mi/h: 58.06 mi/h

To calculate the horses' average speeds, we need to calculate the speed as distance divided by time.

We have:

Distance: 1.50 miles

Time: 147 seconds

(a) To calculate the average speed in mi/s, we divide the distance by the time:

Average speed = Distance / Time

Speed of Fiddle Isle = 1.50 miles / 147 seconds ≈ 0.0102 mi/s

Speed of John Henry = 1.50 miles / 147 seconds ≈ 0.0102 mi/s

(b) To calculate the average speed in mi/h, we need to convert the time from seconds to hours:

Average speed = Distance / Time

Since 1 hour has 3600 seconds, we can convert the time to hours:

Time in hours = 147 seconds / 3600 seconds/hour

Speed of Fiddle Isle = 1.50 miles / (147 seconds / 3600 seconds/hour) ≈ 58.06 mi/h

Speed of John Henry = 1.50 miles / (147 seconds / 3600 seconds/hour) ≈ 58.06 mi/h

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Answer:

parallel

y= -5x + 19

perpendicular

y= (1/5)x + 17/5

Step-by-step explanation:

yeah-ya......... right?

Answer:

in order of going down:
1) 77
2) 103
3) 77
4) 37
5) 53

Step-by-step explanation:

Answer:

77°

103°

77°

37°

Step-by-step explanation:

The outer quadrilateral in black is a rectangle because of the angles it has at the vertices.

Look at the upper green line. It intersects the vertical sides of the outer rectangle.

The upper green line intersects the left vertical segment of the outer rectangle at a 103° angle. That makes the top yellow box 77°.

The top yellow box is an angle of a quadrilateral.

360 - 77 - 66 - 114 = 103

The second yellow box is 103°.

The third yellow box is 77°.

The bottom yellow box is 180 - 66 - 77 = 37°

Answer:

1/6

Step-by-step explanation:

The All Seasonings company uses 3,200 glass jars at one of its jar-filling workstations each eight hours of production. The cycle time for a standard container, which holds 90 jars, averages 45 minutes. If management uses an efficiency factor of twenty percent, 37 containers should be used.

The formula to calculate the number of containers to be used by All Seasonings company is:

Nc = (Production quantity x Processing time)/Container size

Where, Nc - Number of containers required

Production quantity - Total quantity to be produced

Processing time - Time for producing total quantity

Container size - Capacity of a container (number of products)

Now, let's put the given values in the formula:

Nc = (3,200 x 8)/90 Nc = 284.44≈285

Since there will be a 20% efficiency factor, containers to be used would be:

Nc = (285/0.8)

Nc = 356.25≈356 ≈ 37 containers

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Answer:

The paragraph proof is a proof written in the form of a paragraph. In other words, it is a logical argument written as a paragraph, giving evidence and details to arrive at a 

Step-by-step explanation:

No, the amount of money in her account is not proportional to the number of weeks.

Given that,

JEAN has $280 in her savings account. Starting next week, she will deposit $30 in her account every week. Is the amount of money in her account proportional to the number of weeks to determine?

What is proportionality?

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,

Jean has $280 initially in her savings account,

she will deposit $30 in her account every week.

After every week the saving becomes,

= 280 + 30 * number of weeks

Implies, the above relationship is a linear function, not proportionality.

Thus,  No, the amount of money in her account is not proportional to the number of weeks.

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Answer:

isosceles right

Step-by-step explanation:

hope this was helpful

1 SAS BY RULE

2 SAS BY RULE

3 ASA

4 SAS

5 SAS

6 SAS

7 NO COGRUENT

8 NO COGRUENT

9 NO

10 NO 11 ASA

Answer:

Step-by-step explanation:

1. a. coordinates of polygon B: (-2, 1), (-4, 1), (-2, 3), (-4, 4)

b. coordinates of polygon C: (-2, -1), (-4, -1), (-2, -3), (-4, -4)

c. coordinates of polygon D: (-2, 1), (-4, 1), (-2, 3), (-4, 4) -> same as polygon B because you after reflecting B to C, they are asking you basically reflect it back to B

2. C (-2, -1)

Answer:

2

Step-by-step explanation:

i say 2 because you need a controlled variable and then the one subject to change (sorry if not)

Answer:

Step-by-step explanation:

what abby wrote is conjecture,which is a statement know to be proven true

No,because she hasn't proven her statement.one way to do this is to use inductive reasoning.

Answer:

Fill in the long -5/2 on the number line and draw a ray extending to the left

Step-by-step explanation:

Answer:

find 9% of 12

12 times 9 divided by 100

108/100

$1.08

12+1.08

Your mean costs $13.08

-Have a nice meal!

Answer: 26 minutes

Step-by-step explanation:

Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.

Time getting dressed = ¹/₃x

Eating breakfast = 10 mins

Making bed = 5 mins

¹/₃x + 10 + 5 = 35 ½

¹/₃x + 15 = 35 ½

¹/₃x = 35 ½ - 15

¹/₃x = 20 ½

x = 20 ½ / ¹/₃

= 61.5 minutes

Total morning routine is is 61.5 mins

Time taken to drive to work is;

= 61.5 - 35 ½

= 26 minutes