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mojhsa [17]
3 years ago
10

PLEASE ANSWER THIS QUESTION ILL MARK YOU AS THE BRAINLIEST

Mathematics
1 answer:
Mrac [35]3 years ago
8 0
4. (x+6)^2=51

This is because when you multiply x+6 by itself you get
x^2+12x+36=51

then you need to move the 51 to the other side

x^2+12x-15=0
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A 15-foot ladder must make an angle of 30° with the ground if it is to reach a certain window. What angle must a 20-foot ladder
Tju [1.3M]
The answer is A) 22. Not 48.

3 0
4 years ago
PLEASE HELP IT’S DUE TMR
Soloha48 [4]
4 + 3 + 1 = 8

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4 0
3 years ago
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
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