Given: mZA= 15°; a = 10; m B = 57° Find b.​

Answer:

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3)  = 2/15

P(4) = 1/15

The expected value for X is:

EV = 1.33...

Step-by-step explanation:

We have a total of 6 marbles in the jar.

The probability of getting a red marble in the first try  (X = 0) is equal to the quotient between the number of red marbles and the total number of marbles, this is:

P(0) = 2/6 = 1/3

The probability of drawing one green marble (X = 1)

is:

First, you draw a green marble with a probability of 4/6

Then you draw the red one, but now there are 5 marbles in the jar (2 red ones and 3 green ones), then the probability is 2/5

The joint probability is:

P(1) = (4/6)*(2/5) = (2/3)*(2/5) = 4/15

The probability of drawing two green marbles (X  = 2)

Again, first we draw a green marble with a probability of 4/6

Now we draw again a green marble, now there are 3 green marbles and 5 total marbles in the jar, so this time the probability is 3/5

Now we draw the red marble (there are 2 red marbles and 4 total marbles in the jar), with a probability of 2/4

The joint probability is:

P(2) = (4/6)*(3/5)*(2/4) = (2/6)*(3/5) = 1/5

The probability of drawing 3 green marbles (X = 3)

At this point you may already understand the pattern:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

finally, we draw a red marble with a probability 2/3

The joint probability is:

P(3) = (4/6)*(3/5)*(2/4)*(2/3) = (2/6)*(3/5)*(2/3) = (1/5)*(2/3) = (2/15)

Finally, the probability of drawing four green marbles (X = 4) is given by:

First, we draw a green marble with a probability 4/6

second, we draw a green marble with a probability 3/5

third, we draw a green marble with a probability 2/4

fourth, we draw a green marble with a probability 1/3

Finally, we draw a red marble with a probability 2/2 = 1

The joint probability is:

P(4) = (4/6)*(3/5)*(2/4)*(1/3)*1 = (1/5)*(1/3) = 1/15

Then the probability distribution is:

P(0) = 1/3

P(1) = 4/15

P(2) = 1/5

P(3)  = 2/15

P(4) = 1/15

The expected value will be:

EV = 0*P(0) + 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4)

EV = 1*(4/15) + 2*( 1/5) + 3*( 2/15) + 4*(1/15 ) = 1.33

So we can expect to draw 1.33 green marbles in this experiment.

Answer:

D, 225

Step-by-step explanation:

Because this equation already has a1, it's useless to test with that, so instead solve for a2.

You would have a2 - 5a1, which would get you a2 = 5(9) because we already know what a1 is, which is 9. a2 = 45

Now we have a2, which is 45, so now we solve for a3

We would have a3 = 5a2 = a3 = 5(45) which is 225 which is a3

Also thanks for the fat 18 points dude, you really put 36 points into this one big value hope this one helped you a lot

Answer:

Line 1 contains an error.

Step-by-step explanation:

2k^2 and 2 are fine but 2k and 1k don't make 5k since when you add it you would get 3k.

Answer:

D.2, 4, 6, 8, ...

Step-by-step explanation:

This is linear because all successive terms in the numerical pattern have the same difference between them.

Answer:

I believe the answer is B) All real numbers

Answer:

u mad bruv? xD  Xd DxD XDXDXDdd

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

6+4×10=6+40

6+40=46

Step-by-step explanation:

21.6%

mark as brainliest

Answer:

195

Step-by-step explanation:

65%=65÷100=0.65

0.65×300=195

Answer:

5k and -3k are like variables

constants 7 and -2 are like terms

5+2k+n is equivalent expression

Step-by-step explanation:

Answer:

Plot each graph on the same coordinate system.

f(x)=−2

(2)x+4

Step-by-step explanation:

Answer:

Didn't post the picture

Step-by-step explanation:

Answer:

She saved $46

Step-by-step explanation:

1. Price for 3 adults would be $144

2. Price for 4 children would be $104

3. Total price for individual tickets would be $248

4. She bought 1 of [Combo 1] and 1 of [Combo 2]

5. Therefore, she paid $202

6. She saved $46

Answer:

I think is B

Step-by-step explanation:

Answer:

B. B and C

Step-by-step explanation:

I calculated it logically

Answer:

The answer would be a. G and C.

Step-by-step explanation:

When calculating G/C, 329/261.6= 1.49847 rounded.

We are looking for the closest integer ratio to that number which is 3 to 2. A 3/2 ratio =1.5 which is as close to 1.49847 as you are going to get with a ratio. Hope this helps!

Answer:

m = d times 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 - 2x - 8x > -6x - 16

4 - 10x > -6x - 16

4 - 4x > -16

-4x > -20

x < 5

Step-by-step explanation:

A 106 offered history to students

Answer:

The formula for the area of the base of a cylinder is π r²

Answer:

1. $7.39/hour 2. $0.75/foot

Step-by-step explanation:

1. 66.5/9= about 7.39 dollars

2. 15.75/21=0.75 dollars

Answer:

52.9

??

Step-by-step explanation:

Answer:

1500g:250g

=

6:1

Hope I could help

Answer:

questions 2 answe is x+3less than equal to 13

Answer:

A = $45948

Step-by-step explanation:

Given the following data;

Principal = $8000

Interest rate = 6% = 6/100 = 0.06

Time = 30 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 8000(1 + \frac{6}{100})^{30}[/tex]

[tex] A = 8000(1 + 0.06)^{30}[/tex]

[tex] A = 8000(1.06)^{30}[/tex]

[tex] A = 8000(5.7435)[/tex]

A = $45948

Answer:

-9 + 4i

Step-by-step explanation:

The additive inverse ("opposite") of a complex number a + bi  is  -a - bi.

Just use the opposites of  a  and  b.

It should be A. The distance between Jupiter and Earth is Greater than the distance between Mercury and Earth.

Answer:

Area = 17.5yd

Step-by-step explanation:

Area formula is Area = h * b/2

Area = 5 * 7/2

Area = 17.5

Answer:

is this area or volume? if it's Area 1/2 b*h