All categories

3 years ago

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:

Step-by-step explanation:

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

Because that's the union

You might be interested in

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

Read 2 more answers

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