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Elodia [21]
3 years ago
13

A student takes an exam containing 18 true or false questions. If the student guesses, what is the probability that he will get

exactly 6 questions right? Round your answer to four decimal places.

Mathematics
1 answer:
V125BC [204]3 years ago
3 0
Use this formula.
and solution is:[(18!)/(6!×(18-6)!)]×(1/2)^6×(1-1/2)^(18-6)≈0.0781604
7.8%

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The sum of twice a number and 15 is grater the 3
NNADVOKAT [17]

Answer:

x>-6

Step-by-step explanation:

The expression you need to solve for this is: 2x+15>3

For now pretend that the > is a = and solve as you normally would for x.

Subtract 15 from both sides

2x=-12

Divide by 2

x=-6

Put the > back in

x>-6

4 0
2 years ago
1. If a triangle of area 95 square units has a height of length 19 units, calculate
Anna [14]
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8 0
2 years ago
Two ballpoint pens are selected at random from a box that contains 3 blue pens, 2 red pens, and 3 green pens. If X is the number
Flauer [41]

Answer:

a) f(x,y) =\frac{\binom{3}{x}\binom{2}{y}\binom{3}{2-x-y}}{\binom{8}{2}} ;   x = 0, 1 , 2;  y = 0, 1 , 2; 0 ≤ x+y ≥ 2

b) = \frac{9}{14}

Step-by-step explanation:

joint probability is a function that characterizes the distribution of a random variable. If X and Y be two random variables then the joint probability will be P(X = x, Y=y)

Given Data,

X = The number of blue Pens

Y = The number of red Pens

a)

possible outcomes(X, Y) are (0, 0), (0, 1), (1, 0), (1, 1), (0, 2), (2,0)

Please refer fig. also

total number ways of selecting any 2 pens = \binom{8}{2}= \frac{8!}{2! 6!} =28

f(x,y) = \frac{\binom{3}{x}\binom{2}{y}\binom{3}{2-x-y}}{\binom{8}{2}} ;   x = 0, 1 , 2;  y = 0, 1 , 2; 0 ≤ x+y ≥ 2

b)

P(X,Y)∈A = P(X + Y ≤ 1)

= P(0,0) + P(1,0) + P(0,1)

= \frac{3}{28} + \frac{3}{14} + \frac{9}{28}

= \frac{9}{14}

4 0
3 years ago
What is 8(2x-3)-6x if x = 3
KengaRu [80]
8(2x - 3)-6x

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Second, simplify 6 - 3 to 3. / Your problem should look like: 8 × 3 - 6 × 3
Third, simplify 8 × 3 to 24. / Your problem should look like: 24 - 6 × 3
Fourth, simplify 6 × 3 to 18. / Your problem should look like: 24 - 18
Fifth, simplify 24 - 18 to get 6. / Your problem should look like: 6

Answer: 6

4 0
3 years ago
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arlik [135]
The slope<span> of a horizontal </span>line<span>. A horizontal </span><span>line has slope 0

</span>
3 0
3 years ago
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