All categories

3 years ago

Integers that equal negative 36

Mathematics

1 answer:

Alona [7]3 years ago

8 0

1 and -36
-1 and 36
6 and -6
18 and -2
-18 and 2
9 and -4
-9 and 4

You might be interested in

in a certain population, 11% of people are left-handed. Suppose that you plan to randomly select 100 people and ask each person

Assoli18 [71]

Answer:

c. A and C

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=100, p=0.11)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=100*0.11=11 > 10 \geq 10$

$n(1-p)=100*(1-0.11)=99 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=100*0.11=11$

$\sigma=\sqrt{np(1-p)}=\sqrt{100*0.11(1-0.11)}=3.129$

Part A

We want this probability:

$P(X \geq 12) = 1-P(X$

The z score is defined as

$Z=\frac{x-\mu}{\sigma}$ .

$P(X \geq 12) = 1-P(X$

Part B

P(X>12) = 1-P(X\leq 12) = 1-P(Z< \frac{12-11}{3.129})=1-0.625=0.375[/tex]

Part C

$P(10\leq X \leq 14) = P(X$

The z score is defined as

$Z=\frac{x-\mu}{\sigma}$ .

$P(10 \leq X \leq 14) =P(Z< \frac{14-11}{3.129}) -P(Z< \frac{10-11}{3.129})=P(Z$

So then the best option is : c. A and C

8 0

4 years ago

Find the equation whose roots are - 1/2 and1 whole number1/2

Yuliya22 [10]

Answer:No, I don’t think I will

Step-by-step explanation:No

7 0

3 years ago

The Abs R Us bodybuilding club has an annual memebership fee of $414. You plan to visit 8 each month, how much is your cost per

Lisa [10]

Comment
There are 12 months in a year. He plans on visiting 8 times each month.

Step One
Find the number of visits per year.

<em>Givens</em>
Number of visits per month = 8
Number of months per year = 12

Visits = # visits / month * number of months
Visitis = 8 * 12
Visits = 96 visits in total.

Step Two
<em>Calculate the cost / visit</em>
Total Cost = 414 visits.
Total Visits = 96

Cost / Visit = Total Cost / Total visits.
Cost / Visit = 414 / 96
Cost / Visit = 4.31 roughly.

4 0

4 years ago

Suppose a jar contains 5 reds balls and 7 green balls. with eyes closed, you choose two balls at random, one after the other. wh

statuscvo [17]

The odds of getting a red first is 5/12. the odds of getting a green second is 7/11. the probability of both is then 5/12 * 7/11, or 35/132

6 0

3 years ago

At the time of her grandson’s birth, a grandmother deposits $13,000 in account that pays 2.5% compounded monthly. What will be t

sergeinik [125]

Answer:

19, 300 i think thats correct im sorry if not

Step-by-step explanation:

5 0

3 years ago