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2 years ago

Write a verbal expression for 4m2+2

Mathematics

2 answers:

hammer [34]2 years ago

8 0

Answer:

Step-by-step explanation:

4m^2+2

Genrish500 [490]2 years ago

5 0

4 times the number m squared increased by 2

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There are two misshapen coins in a box; their probabilities for landing on heads when they are flipped are, respectively, .4 and

Leokris [45]

Answer:

E(X) = 6.0706

Step-by-step explanation:

1) Define notation

X = random variable who represents the number of heads in the 10 first tosses

Y = random variable who represents the number of heads in range within toss number 4 to toss number 10

And we can define the following events

a= The first coin has been selected

b= The second coin has been selected

c= represent that we have 2 Heads within the first two tosses

2) Formulas to apply

We need to find E(X|c) = ?

If we use the total law of probability we can find E(Y)

E(Y) = E(Y|a) P(a|c) + E(Y|b)P(b|c) ....(1)

Finding P(a|c) and using the Bayes rule we have:

P(a|c) = P(c|a) P(a) / P(c) ...(2)

Replacing P(c) using the total law of probability:

P(a|c) = [P(c|a) P(a)] /[P(c|a) P(a) + P(c|b) P(b)] ... (3)

We can find the probabilities required

P(a) = P(b) = 0.5

P(c|a) = (3C2) (0.4^2) (0.6) = 0.288

P(c|b) = (3C2)(0.7^2) (0.3) = 0.441

Replacing the values into P(a|c) we got

P(a|c) = (0.288 x 0.5) /(0.288x 0.5 + 0.441x0.5) = 0.144/ 0.3645 = 0.39506

Since P(a|c) + P(b|c) = 1. With this we can find P(b|c) = 1 - P(a|c) = 1-0.39506 = 0.60494

After this we can find the expected values

E(Y|a) = 7x 0.4 = 2.8

E(Y|b) = 7x 0.7 = 4.9

Finally replacing the values into equation (1) we got

E(Y|c) = 2.8x 0.39506 + 4.9x0.60494 = 4.0706

And finally :

E(X|c) = 2+ E(Y|c) = 2+ 4.0706 = 6.0706

6 0

1 year ago

Draw and upload a box plot representing the following data set: 22, 35, 18, 30, 37, 20, 40, 18, 38, 38, 23, 19, 27, 31, 34.

marshall27 [118]

See the attached image for the box plot drawing. The five number summary is given below

Min = 18
Q1 = 20
Median = 30
Q3 = 37
Max = 40

7 0

2 years ago

Read 2 more answers

the Panthers team won exactly 2 of its 9 games. by winning all its remaining N games, the panthers ended with victories half of

emmasim [6.3K]

2+number won over 9+number played=1/2
number won=number played (number played means how many more past 9)

so
if n=number won=number played then $\frac{2+n}{9+n}= \frac{1}{2}$
times both sides by (2)(9+n)
2(2+n)=9+n
distribute
4+2n=9+n
minus n from both sides
4+n=9
minus 4 from both sides
n=5

answer is 5
test
2+5=7
9+5=14
7/14=1/2
true

n=5

5 0

1 year ago

What is the x-intercept of the line with this equation −2x 12y=18 enter your answer in the box. (?, 0)

alexandr402 [8]

I did this test too! The answer was (-9, 0)

6 0

2 years ago

Read 2 more answers

Nina was curious about the height of the Eiffel Tower. She used a 1.2 meter model of the tower and measured its shadow at 2 P.M.

expeople1 [14]

320 Meters.
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1.2/0.9=1.33
_
1.33(240) =320

8 0

2 years ago