The probability that a child will learn to swim before age 6 is 0.312. If you take a group of 12 children, what is the probability that 1 or fewer of the children will learn to swim before age 6? (Round your answer to 3 decimal places if necessary.)

Answers

Answer 1
Answer:

Answer:

The probability of 1 or less children from that group to learn how to swim before 6 years of age is 0.072

Step-by-step explanation:

In this case we need to compute the probability of none of these 12 children learns to swim before 6 years of age. This is given by:

p(0) = (1 - 0.312)^(12) = 0.688^(12) = 0.01124

We now need to calculate the probability that one child learns to swim before 6 years of age.

p(1) = 12*0.312*(1 - 0.312)^(11) = 3.744*(0.688)^(11)

p(1) = 3.744*0.01634

p(1) = 0.0612

The probability of 1 or less children from that group to learn how to swim before 6 years of age is:

p = p(0) + p(1) = 0.01124 + 0.0612 = 0.07244


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What is 70% of 210. Explain

Answers

Percent\ means\ out\ of\ 100 \n  (70)/(100)*210 \n  \n  ((10)7)/((10)10)*210 \n \n  (7)/(10)*210   \n  \n 7*21 \n \n \boxed {147}
you can set it up as a proportion
is (part)                 %
-------                ------
of( whole)        percent
you fill in the spots so it looks like this. 70% is the percent, and the 210 as the of before it, so by default, the "is" becomes x.
    x          70
------    ------
  210     100  
then you cross multiply, so 100 times x is 100x and 210 times 70 is 14700.
so,        100x=14700
then you have to get x by itself, to cancel out x you do the opposite of the opperation which in this case means to divide, so 100x/100 is x. but what you do to one side, you have to do to another, so 14700/100=147

so X=147, or 147 is 70% of 210
you can also check your answer by multiplying the "of" you get by the percent, and you should get the "is".

I request assistance...Write an inequality and solve.

a merchant is bagging potatoes that he will sell for $5 a bag. he wants to take in at least $400 for them. how many bags should he prepare?

Thanks ​

Answers

Answer:he should prepare 80

Step-by-step explanation:

Divide 400/5

How do I write 360,556 in expanded form

Answers

360.556=3*100.000+6*10.000+5*100+5*10+6
300,000+60,000+500+50+6

Given x+2<-5 choose the solution set.​

Answers

Answer:

\large\boxed{\{x|x\in\mathbb{R},\ x<-7\}}

Step-by-step explanation:

x+2<-5\qquad\text{subtract 2 from both sides}\n\nx+2-2<-5-2\n\nx<-7\to\{x|x\in\mathbb{R},\ x<-7\}

Answer:

x < -7; the answer is the first choice.

Step-by-step explanation:

x + 2 < -5

Subtract 2 from both sides.

x < -7

The answer is the first choice.

What is greater 2/8 or 3/16

Answers

2/8 is greater. In order to figure out the answer for this, I cross multiplied. So, first, you would do 2 times 16. And 8 times 3. 2 times 16 is 32 and 8 times 3 is 24. 32 is greater than 24, and the 34 comes from 2/8. Good luck!
2/8=4/16 because if you multiply 8x2, it equals 16, which would then make it 4/16 and 3/16 comparable, so then you just look at which numerator (top number) is bigger, so 2/8 would be greater.

the number of girls and boys in math class totals 27. how many girls are there if the of girls is 3 more than twice the number boys?

Answers

Answer: 15 girls

Step-by-step explanation:

27 - 3 = 24

24/2 = 12

12 boys

12 + 3 = 15

15 girls

15+ 12 = 27

Answer: 15

Step-by-step explanation: Personally, I would try finding the number of boys first and then subtract the number of total students by the number of boys. To find the boys, you need to subtract three from 27 since those 3 are girls which leaves you with 24. It says there is half the number of boys than girls when you subtract 3 so 24 divided by 2 is 12. The number of boys is 12 so now all you have left to do is subtract 27-12 to find the number of girls, which is 15. I hope this helped you and sorry if it’s really long :)