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Arte-miy333 [17]
3 years ago
13

Find A UB. A) {3,7) B) {3,5,6,7} {2,3,5,7,8,9,12} D) {3,5,6,7,8,11,12}

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0

Answer:

D

Step-by-step explanation:

3,5,6,7,8,11,and 12

Because that's the union

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A national college researcher reported that 65% of students who graduated from high school in 2012 enrolled in college. Twenty n
Usimov [2.4K]

Answer:

a) The probability that exactly 17 of them enroll in college is 0.116.

b) The probability that more than 14 enroll in college is 0.995.

c) The probability that fewer than 11 enroll in college is 0.001.

d) It would be be unusual if more than 24 of them enroll in college since the probability is 0.009.

Step-by-step explanation:

We can model this with a binomial distribution, with n=29 and p=0.65.

The probability that k students from the sample who graduated from high school in 2012 enrolled in college is:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{29}{k} 0.65^{k} 0.35^{29-k}\\\\\\

a) The probability that exactly 17 of them enroll in college is:

P(x=17) = \dbinom{29}{17} p^{17}(1-p)^{12}=51895935*0.0007*0=0.116\\\\\\

b) The probability that more than 14 of them enroll in college is:

P(X>14)=\sum_{15}^{29} P(X=k_i)=1-\sum_{0}^{14} P(X=k_i)\\\\\\P(x=0)=0\\\\P(x=1)=0\\\\P(x=2)=0\\\\P(x=3)=0\\\\P(x=4)=0\\\\P(x=5)=0\\\\P(x=6)=0\\\\P(x=7)=0\\\\P(x=8)=0\\\\P(x=9)=0\\\\P(x=10)=0.001\\\\P(x=11)=0.002\\\\P(x=12)=0.005\\\\P(x=13)=0.013\\\\P(x=14)=0.027\\\\\\P(X>14)=1-0.005=0.995

c) Using the probabilities calculated in the point b, we  have:

P(X

d) The probabilities that more than 24 enroll in college is:

P(X>24)=\sum_{25}^{29}P(X=k_i)\\\\\\ P(x=25) = \dbinom{29}{25} p^{25}(1-p)^{4}=23751*0*0.015=0.007\\\\\\P(x=26) = \dbinom{29}{26} p^{26}(1-p)^{3}=3654*0*0.043=0.002\\\\\\P(x=27) = \dbinom{29}{27} p^{27}(1-p)^{2}=406*0*0.123=0\\\\\\P(x=28) = \dbinom{29}{28} p^{28}(1-p)^{1}=29*0*0.35=0\\\\\\P(x=29) = \dbinom{29}{29} p^{29}(1-p)^{0}=1*0*1=0\\\\\\\\P(X>24)=0.007+0.002+0+0+0=0.009

6 0
3 years ago
Hue is arranging chairs. She can form 6 rows of a given length with 1 chair left over, or 9 rows of that same length if she gets
xenn [34]

x=given length

6x+1+14=9x

6x+15=9x

9x-6x=15

3x=145

x=15/3

x=5

6*5=30, 30+3=33

33+14=47 and 9*5=47

The answer is 5

8 0
3 years ago
Help me someone plz I need help
Tema [17]
Your answer would be -17 I think
7 0
4 years ago
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PLS HELP i will mark brainliest
tekilochka [14]
Set tay equal to x, and set Omar to be equal to y. Then solve for x, which is done simply by dividing both sides by the y value. The answer is your slope
7 0
3 years ago
Can someone help me with this please
Sonja [21]

Answer:

-5 and 3

Step-by-step explanation:

you do thos so you can eliminate x and solve for y then substitute the answer to y in one of the equations to solve the equation

4 0
3 years ago
Read 2 more answers
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