What is the sum of (-2.1x + 3.7) and (5 + 4.9x)?A. -7.0x + 8.7B. -2.8x + 8.7C. 2.8x + 8.7D. 7.0x + 8.7

Complete Question

Suppose that the random variable X represents the length of a punched part in

centimeters. Let Y be the length of the part in millimeters. If E(X) = 5 and V(X) = 0.25,

what are the mean and variance of Y?

Answer:

The mean

\(E(Y) =50 mm\)

The variance

\(V(Y) = 25 mm\)

Step-by-step explanation:

From the question we are told that  

   Length in cm is  X

   Length in mm is Y

  Generally  10 mm  =  1 cm

So

    \(Y = 10 X\)

Hence the expected mean of Y is  

  \(E(Y) = E (10 X)\)

=>    \(E(Y) = 10 E(X)\)

From the question \(E(X) = 5\)

So

      \(E(Y) = 10 * 5\)

=> \(E(Y) =50 mm\)

Gnerally the variance of  X is  

      \(V(X) = E [X^2] -E[X]^2\)

From the question we are told that \(V(X) = 0.25\)

=> \(0.25 = E [X^2] -E[X]^2\)

Gnerally the variance of Y

    \(V(Y) = E [Y^2] -E[Y]^2\)

=> \(V(Y) = E [10X^2] -E[X]^2\)

=> \(V(Y) = 10^2[ E [X^2] -E[X]^2]\)

=> \(V(Y) = 10^2* V(X)\)

=> \(V(Y) = 10^2* 0.25\)

=> \(V(Y) = 25 mm\)

Answer:

19.02

Step-by-step explanation:

39.47-(14.33*2)+(41.05/5)

39.47-28.66+8.21

10.81+8.21

19.02

Cameron will drink 98 liters of water in seven weeks.

Unit conversion is the process of converting a measurement expressed in one unit to an equivalent measurement expressed in another unit.

To find the answer in Liters we need to convert the daily amount of water from milliliters to liters.

This involves using a conversion factor (1 liter = 1000 milliliters) to convert the units from milliliters to liters.

Here we have

Cameron drinks 2,000 milliliters of water every day  

Let's convert the daily amount of water Cameron drinks from milliliters to liters by dividing by 1000:

2000 milliliters / 1000 = 2 liters

So, Cameron drinks 2 liters of water every day.

To find out how many liters he will drink in seven weeks, we need to multiply his daily intake by the number of days in seven weeks.

There are 7 days in a week, so:

7 weeks x 7 days =  49 days

The amount of water taken by Cameron can be

2 liters/day x 49 days = 98 liters

Therefore,

Cameron will drink 98 liters of water in seven weeks.

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Answer:

Step-by-step explanation:

2 1/2 + x = 5 1/3                Change the mixed numbers to improper fractions

5/2 + x = 16/3                   The lowest common multiple is 6. Multiply by 6

5*3 + 6x = 16*2

15 + 6x = 32                      Subtract 15 from both sides.

6x = 32 - 15

6x = 17                              Divide by 6

6x/6 = 17/6

x = 2 5/6

Check

5/2 + 17/6 = 16/3

15/6 + 17/6 = 32/6

32/6 = 32/6                    The question checks.

Answer:

the answer is B on edge

Step-by-step explanation:

B. No. He did not check the point in the second equation

can i get brainly so i can rank up?

Answer:

Like I said B

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

given,

total no. of students=35

percentage of boys=60%

now,

no.of boys= 60% ×35

=60/100×35

= 21

then,

the no. of girls = total no.of students- no. of boys

= 35 - 21

= 14

Answer:

6

Step-by-step explanation:

b(x) = |x + 4|

b(-10) = |-10 + 4|

b(-10) = |-6|

b(-10) = 6

Best of Luck!

Answer:

60%

Step-by-step explanation:

Percent means out of 100

Changing 3/5 to a denominator of 100

3/5*20/20

60/100

The percent is 60 %

Answer:

-15,625

Step-by-step explanation:

\(-5^6\)  =   -15,625

Hope this helps.

Answer:

-15,625 ... be carful on this type question

the - sign does NOT get raised to the 6th power...

\((-5)^{6}\) that would be + .... \(-5^{6}\) is negative

Step-by-step explanation:

If she gives 1 green apple and 2 red apples to each friend, then she gives 3 apples to each friend.

Given that she has 5 friends, then she gave a total of 3 x 5 = 15 apples.

Then, Isabelle's bag originally contained 15 apples

Answer:

2 is really answer it is this question bro than ka for good point

Step-by-step explanation:

hello shreekant thanks 886A bubs 2 is answr

Geometry encompasses various topics such as angles, lines, triangles, circles, polygons, and more.

Whether you need help with a specific theorem, a geometric proof, or solving a particular problem, feel free to describe the problem or provide any relevant information.

You can also ask general questions about geometry concepts or seek clarification on any topic you find challenging. Remember to provide all the necessary details, such as given information, diagrams, or specific requirements of the problem, to help me understand and assist you better.

Geometry often involves visual representation, so if you can provide any diagrams or illustrations related to your question, it would be helpful. However, if you can only describe the problem or concept in words, that's perfectly fine too.

Rest assured that I'll do my best to provide clear explanations, step-by-step solutions, and any additional information or insights to help you understand and solve your geometry problem.

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Answer:

9×−6

​​

Thats the answer put that Promise can I get brainliest just click on my profile then go back and youĺl see a crown and click it on my name

Step-by-step explanation:

Answer: x=-3 & x=3/2

Step-by-step explanation:

1. Simplify the expression

- Divide both sides by the same factor

9=2x^2+3x

2x^2 + 3x - 9 = 0

2. Use the quadratic formula

- Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2x^2 + 3x - 9 = 0

a = 2

b = 3

c = -9

x = √-3±3^2−4⋅2(−9)/2⋅2

3. Simplify, again.

- Evaluate the exponent

- Multiply the numbers

- Add the numbers

- Evaluate the square root

x=−3±9/4

4. Separate the equations

- To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x=−3+9/4

x=-3-9/4

5. Solve

- Rearrange and isolate the variable to find each solution.

x=3/2

x=-3

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

Explanation:

The order of the lettering is important when it comes to similar polygons. This is because the order tells us how the letters pair up.

I don't recommend using solely the diagram to try to see how the angles pair up because the diagram might not be to scale. So we'll just be focused on the lettering.

In the sequences ABCDE and PQRST, we have letters E and T as the last items. This means they correspond and pair up together. Furthermore, these angles are congruent (since similar polygons have congruent corresponding angles).

So in short, E = T.

The diagram shows E = 110 and T = 2x+10

This leads to...

E = T

110 = 2x+10

2x+10 = 110

2x = 110-10

2x = 100

x = 100/2

x = 50

Answer:

251.222 feets

Step-by-step explanation:

X = 0.65 rad

To degree ;

X = 37.24°

We need to obtain the height :

Using Sine rule :

(37. 24 + y + 90) = 180

y = 52.76

y / sin Y = D / sin D

200/ sin 52.76 = D / Sin 90

251.22231 = D / sin 90

251.22231 * sin 90 = D

Sin 90 = 1

D = 251.222 feets

Answer:

h(-11)=-52

Step-by-step explanation:

Answer:

h(x)=52

Step-by-step explanation:

so x= -11 now plug in for x and solve

5(-11)+3

-55+3= -52

Answer:

0.54 as a fraction is 54/100 and simplified it would be 27/50

Answer:

27 / 50

Step-by-step explanation:

You can find this out by re-stating it as 54 / 100 and removing common factors between the numerator and denominator.  In this case, only the number 2 can be factored out:

54 / 100

= 27 / 50

27 is a perfect cube (three cubed), and 50 is not divisible by 3, so we can't factor it further.

Answer: 0.771 you are welcome

The discrete probability distribution table is displayed  :

Number of tails __ 0 __1 __ 2 __ 3

Probability ____ 1/8 _3/8 _3/8 _1/8

Now, According to the question:

Let's know:

Discrete Probability Distribution:

A discrete probability distribution counts occurrences that have countable or finite outcomes. This is in contrast to a continuous distribution, where outcomes can fall anywhere on a continuum. Common examples of discrete distribution include the binomial, Poisson, and Bernoulli distributions.

The discrete probability distribution for the random variable described.

First box = 1/8

Second box = 3/8

Third box = 3/8

Fourth box = 1/8

Three tosses possibilities

HHH, Tails = 0

HHT, Tails = 1

HTH, Tails = 1

HTT, Tails = 2

THH, Tails = 1

THT,, Tails = 2

TTH, Tails = 2

TTT,, Tails = 3

P(0) =1/8

P(1) = 3/8

P(2)= 3/8

P(3) = 1/8

Therefore, the discrete probability distribution table is displayed thus :

Number of tails __ 0 __1 __ 2 __ 3

Probability ____ 1/8 _3/8 _3/8 _1/8

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It should be noted that experimental probability is based on past observations and might not accurately predict future events.

It has been established that experimental probability is based on past observations or on historical data.

To determine the experimental probability of the high temperature being over 75 degrees on June 23rd, one would basically gather historical data of high temperatures on June 23rd from previous years. Then, one would calculate the proportion of times the temperature was over 75 degrees.

For example, if one had data for the past 10 years and on 7 of those years the temperature was over 75 degrees on June 23rd, the experimental probability would be 7/10 or 0.7 (or 70%).

Therefore, it's always a good idea to consult meteorological sources or weather forecasts for the most up-to-date and accurate information.

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the area of the region of points satisfying the inequalities x ≤ 0, y ≤ 0, and y ≥ |x + 4| − 5 is 12.5 square units.

Answer:

x=3

y=4

Step-by-step explanation:

By moving x to the right-hand side of the first equation we get y=-x+7, which we then substitute for y in the second equation. Solving gives x=3, which we can then put into the first equation and get y=4.

Answer: 30 percent of 19.99 is 13.99

Step-by-step explanation: if you add a 30% discount to the 19.99$ the price will be lowered by 6.00$.

The correct answer is option (A) TH. The diameter of the circle shown in the diagram is TH

A diameter is a straight line that passes through the center of the circle and connects two points on the circle.

Therefore, in order to find the diameter of a circle, we need to identify two points on the circumference that are opposite to each other.

These two points form the endpoints of the diameter of the circle.

The given circle is shown below: As we can see from the diagram, points H and T lie on the circumference of the circle, and they are opposite to each other.

Hence, the line TH is the diameter of the circle.

Therefore, the correct answer is option (A) HT, which represents the diameter of the circle shown in the diagram.

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Answer:

ABE is the answer hope this helps