Given: A = { 1, 2, 3, 4 } , B = { 1, 3, 5, 7 } , C = { 2, 4, 6 } .

Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that [tex]p = 0.07[/tex]

A day care program has capacity for 8 children in that age range.

This means that [tex]n = 8[/tex]

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337[/tex]

0.337 = 33.7% probability that one of the eight children has a food allergy.

Answer:

105 R0

Step-by-step explanation:

Answer:

105, R=0

Step-by-step explanation:

525/5 = 105, no remainders in the answer as 525 is an exact multiple of 5

Answer:

4 temp at 9 am

Step-by-step explanation:

At 1am temp=-6

At 5am temp=-1

5-1=4 hours and temp difference is -6+1=-5

so at 9 am temp will be -1+5=4

Answer:

Step-by-step explanation:

The base is 4 and the length is 8 b x l 8×4 =32

Answer:

D.(1, -1, 2) hope this helps

Answer:

The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 4 - 1 = 3

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.638

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.638\frac{22.01}{\sqrt{4}} = 18.03[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 52.63 - 18.03 = $34.60

The upper end of the interval is the sample mean added to M. So it is 52.63 + 18.03 = $70.66.

The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.

Answer:

Step-by-step explanation:

In a study of the relationship between pet ownership and physical activity in older adults, 586 subjects reported that they owned a pet, while 1931 reported that they did not. Give a 98% confidence interval for the proportion of older adults in this population who are pet owners. Lower limit Incorrect: Your answer is incorrect. Upper limit

p ± z × (1 - p/n)

z = 98%

p = 586/1931

= 0.3034697048

n = 1931

Approximately = 0.3035

Confidence interval =

0.3035 + 2.326 × ( 1 - 0.3035/ 1931)

Answer:

Q1: 48

Q2: 59

Step-by-step explanation:

Answer:

1. 48

2. 53

you can see that they are the same length as the one across from it so what the one across from it, is the answer

Step-by-step explanation:

[tex]3x + 9 = 3( - 5) + 9 \\ = - 15 + 9 \\ = - 6[/tex]

3x+9 is equals to -6 , not more than based on the inequality, but it is lesser than 21.

However, the solution must fulfil both criteria to be a solution to the inequality. Therefore x = -5 is not a solution to the inequality.

Answer:

[tex](a)\ (8,-3)[/tex]

Step-by-step explanation:

Given

[tex]y =7x +-59[/tex]

Required

Select all solutions

[tex](a)\ (8,-3)[/tex]

This implies that:

[tex]x = 8; y=-3[/tex]

So:

[tex]y =7x +-59[/tex]

[tex]-3 =7 * 8 + -59[/tex]

[tex]-3 =7 * 8 -59[/tex]

[tex]-3 =56 -59[/tex]

[tex]-3 =-3[/tex]

The above is a solution:

[tex](b)\ (9,8)[/tex]

This implies that:

[tex]x=9\ y =8[/tex]

So:

[tex]y =7x +-59[/tex]

[tex]8 =7 * 9 + -59[/tex]

[tex]8 =7 * 9 -59[/tex]

[tex]8 =63 -59[/tex]

[tex]8 =4[/tex]

The above is not a solution because [tex]8 \ne 4[/tex]

[tex](c)\ (7,-3)[/tex]

This implies that:

[tex]x=7;\ y=-3[/tex]

So:

[tex]y =7x +-59[/tex]

[tex]-3 = 7 * 7 +-59[/tex]

[tex]-3 = 7 * 7 -59[/tex]

[tex]-3 = 49 -59[/tex]

[tex]-3 = -10[/tex]

The above is not a solution because [tex]-3\ne -10[/tex]

[tex](d)\ (10,5)[/tex]

This implies that:

[tex]x =10; y=5[/tex]

So:

[tex]y =7x +-59[/tex]

[tex]5 = 7 * 10 + -59[/tex]

[tex]5 = 7 * 10 -59[/tex]

[tex]5 = 70 -59[/tex]

[tex]5 = 11[/tex]

The above is not a solution because [tex]5 \ne 11[/tex]

Answer:

Well, After 5 years No interest you'd still have only 2,300 dollars in the bank.

But 5 years with interest you'd have 5750$ in the bank.

Step-by-step explanation:

With no interest, their is nothing added to your bank account, if you don't take anything away from it either then you'd still have the exact same amount.

With 2.5% monthly interest you'd get 3250$ because...5years * 12 months = 60 months...60 months * 2.5% = 150%...2,300$ + 150% = 5750$.

Answer:

44x + 54

Step-by-step explanation:

The nth term of an arithmetic sequence is given by :

Tn = a + (n - 1)d

d = common difference = T2 - T1

d = T2 - T1

a = first term = - x + 9

d = 4x + 14 - (-x + 9)

d = 4x + 14 + x - 9

d = 5x + 5

The 10th term:

T(10) = (-x + 9) + (10 - 1)*(5x + 5)

T(10) = - x + 9 + 9(5x + 5)

T(10) = - x + 9 + 45x + 45

T(10) = 44x + 54

Hence, the 10th term is 44x + 54

Answer:

24

Step-by-step explanation:

I've found the graph for this question and every time I alligned it, I got 24

Answer: 1/35

Step-by-step explanation:

I just did the assignment on ck-12 and got it right.

The probability of removing 4 marbles without replacing and getting exactly 3 blue is 1/35.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

A bag contains 10 colored marbles - 4 red, 4 blue, and 2 green.

The probability of removing 4 marbles without replacing and getting exactly 3 blue.

= 1/35

Learn more about probability here;

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Answer:

mcm= 210

Step-by-step explanation:

We decompose into its prime factors

42- 70 | 2

21 - 35 | 3

7 - 35 | 5

7 - 7 | 7

1 - 1

mcm= 210

Greetings!

Answer:

r=-45

Explanation:

r/5=-9

5xr/5=5(-9)

5x r/5=5(-9)

r=5(-9)

r=5(-9)

r=-45

Answer:

1st option maybe?

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap.They share the same vertex and the same common side.

9514 1404 393

Answer:

  (b)  Function; The table follows the specific rules for being a function.

Step-by-step explanation:

The specific rule the table follows is that no input value is repeated. That is the only requirement for the relation to be a function.

Answer:

so lets get the cones volume first the formula for a cone is V=πr2/3

so V=πr2h

3=π·22·3

3≈12.56637

and then the height of the cylinder is 4

Step-by-step explanation:

Answer:

17000

Step-by-step explanation:

I hope this helps:)

Answer:

its the last one (d)

Step-by-step explanation:

Answer:

Your answer is 15/8

Answer:

D

Step-by-step explanation:

EDG 2021

Answer:

D is the answer

Step-by-step explanation:

Answer: 1.39(1.006)^t

Step-by-step explanation:

The equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

A statement that relates two unknown parameters such that one is dependent on the other is called a function.

It is given that

Initial population = 1.39 billion in 2013

Growth Rate = 0.6%

Let a represent the initial population

b is the growth rate

and 2 be the elapsed year from 2013

and let the population at any given year is P(t)

Then the equation formed is

P(t) = a * bⁿ

P(t) = 1.39 * ( 1.006)ⁿ

Therefore the equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

To know more about Function

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Answer:

48 Minutes

Step-by-step explanation:

find a common factor 48:

4*12

6*8

so the answer is 48.

Answer:

24 minutes

Step-by-step explanation:

The Lowest Common Multiple of 12 and 8 is 24:

1. List all prime factors of 12 and 8

2. Cross out any recurring numbers

3. multiple all remaining numbers with the crossed out ones used once