The following frequency table shows the number of children that each member of Moms Club has. Find the median number of children.

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used 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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that [tex]p = 0.2[/tex]

Suppose that sixteen adults in the United States are selected randomly.

This means that [tex]n = 16[/tex]

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

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

[tex]P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281[/tex]

[tex]P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126[/tex]

[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111[/tex]

[tex]P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981[/tex]

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Answer:

need points

Step-by-step explanation:

Answer:

625 is the sum of first 49 odd numbers.

Step-by-step explanation:

Add the all odd numbers between 1 - 49.

1+3+5+7+9+11+ 13+ 15+17+ 19+21+23+25+ 27+29+31+33+35+37+39+41+43+45+ 47+ 49 = 625

Answer:

9993

Step-by-step explanation:

literaly u just have to do this:

1000

-     7

--------

9993

Answer:

We accept H₀  we have not enough evidence to support that the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars

Step-by-step explanation:

Luxury cars sample:

sample size    n₁  =  49

sample mean   x₁ = 3178

sample standard deviation   s₁  = 41,80

Compact lower-price cars sample

sample size    n₂  = 38

sample mean   x₂  =  3200

sample standard deviation   s₂  =  50,60

Test Hypothesis:

Null Hypothesis                              H₀          x₁  -  x₂  = 0  or  x₁  = x₂

Alternative Hypothesis                 Hₐ           x₁  -  x₂  <  0   or   x₁ < x₂

CI = 99 %  then significance level is  α = 1 %   α = 0,01

Alternative Hypothesis indicates   that we have to develop a one tail-test to the left

z(c)   for α  0,01     is   z(c)  = -2,32

To calculate  z(s)

z(s)  =  [  (  x₁   -   x₂ 9 ] / √ (s₁²)/n₁  +  (s₂)²/n₂

z(s)  =  (  3178  -  3200 ) / √ 35,66 +  67,38

z(s)  =  ( -  22 / 10,15 )

z(s)  =  - 2,17

Comparing   z(s)  and z(c)

z(s) > z(c)         -  2,17  >  - 2,32

Then  z(s) is in the acceptance region we accep H₀

Answer:

B

Step-by-step explanation:

16(-5) - 7 = 11(-5) - 32

-80 - 7 = -55 - 32

-87 = -87

-4(-5) - 10 = 2(-5) + 20

-30 ≠ 10

Answer:

c. Both A and B

Step-by-step explanation:

Let's solve the equations to find out.

Equation A

16x - 7 = 11x - 32

5x - 7 = -32

5x = -25

x = -5

So, Equation A has a solution of x = -5.

Equation B

-4x - 10 = 2x + 20

-6x - 10 = 20

-6x = 30

x = -5

And so does Equation B.

Answer:

a. - Any number 1-25

b. - 12/25

c. - 20/25

Answer: The unit rate of the bananas is 0.33$

Step-by-step explanation:

1.98/6 = 0.33$ . 0.33 x 6 = 1.98$

Answer:

Your source water comes from the Detroit River, situated within the Lake St. Clair, Clinton River, Detroit River, Rouge River and Ecorse River watersheds in the U.S., and parts of the Thames River, Little River, Turkey Creek and Sydenham watersheds in Canada.

Step-by-step explanation:

please mark this answer as brainliest

Answer:

values that make the inequality true would be any absolute number that is bigger than 4

so that would be n>5

Step-by-step explanation:

Answer:

It would be B. 815.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

On edge

Answer:

[tex]b = 90[/tex]

[tex]c=80[/tex]

[tex]d =100[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find b, c and d

First, we solve for b using:

[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram

Collect like terms

[tex]b + b =180+10-10[/tex]

[tex]2b = 180[/tex]

Solve for b

[tex]b = 180/2[/tex]

[tex]b = 90[/tex]

Then, we have:

[tex]d =b + 10[/tex]

[tex]c = b - 10[/tex] --- opposite angles

So, we have:

[tex]d =90 + 10[/tex]

[tex]d =100[/tex]

[tex]c = 90 - 10[/tex]

[tex]c=80[/tex]

Answer:

648

Step-by-step explanation:

FInd volume of bottom half (9x6x12)

find voume of pyramid 1/3Bh 1/3(11)(54)

Answer:

I don't recognize this problem, please make sure the input is complete.

Step-by-step explanation:

sry

Answer:

$420t

Step-by-step explanation:

Given data

Principal= $7000

Rate= 6%

Time= t years

The expression for the amount is

Simple interest= PRT/100

Sustitute

Simple interest= 7000*6*t/100

Simple interest= 42000t/100

Simple interest= 420t

Hence the amount after t years is $420t

Answer:

The value of f(z) is not constant in any neighbourhood of D. The proof is as explained in the explaination.

Step-by-step explanation:

Given

For any given function f(z), it is analytic and not constant throughout a domain D

To Prove

The function f(z) is non-constant constant in the neighbourhood lying in D.

Proof

1-Assume that the value of f(z)  is analytic and has a constant throughout some neighbourhood in D which is ω₀

2-Now consider another function F₁(z) where

F₁(z)=f(z)-ω₀

3-As f(z) is analytic throughout D and F₁(z) is a difference of an analytic function and a constant so it is also an analytic function.

4-Assume that the value of F₁(z) is 0 throughout the domain D thus F₁(z)≡0 in domain D.

5-Replacing value of F₁(z) in the above gives:

F₁(z)≡0 in domain D

f(z)-ω₀≡0 in domain D

f(z)≡0+ω₀ in domain D

f(z)≡ω₀ in domain D

So this indicates that the value of f(z) for all values in domain D is a constant  ω₀.

This contradicts with the initial given statement, where the value of f(z) is not constant thus the assumption is wrong and the value of f(z) is not constant in any neighbourhood of D.

Answer:

D

Step-by-step explanation:

the first of three parts is what 1/3 is

Answer:

7 and 33

Step-by-step explanation:

Two equations:

x = 5 + 4y

x + y = 40

Substitute x for 5 + 4y:

5 + 5y = 40

5y = 35

y = 7

Substitute y for 7:

x = 5 + 4(7)

x = 33

Answer:

The slope is -3

Step-by-step explanation:

y=mx+b

m=slope

m=-3

slope=-3

hope this helps!

The experimental probability of tossing a tail and spinning a 2 is given by: Option H: 1/8

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.

For this case, the table is missing, the results recorded were:

Toss         Spin        Frequency

Head          1                 2

Head          2                6

Head          3                7

Tail             1                 7

Tail             2                5

Tail             3                13

That means total number of times experiment was done was: 2+6+7+7+5+13=40

Let we take E = event of  tossing a tail and spinning a 2

Thus, from the table, we see that E occurred 5 times.

Thus, based on this, the experimental probability of occurrence of E is:

[tex]P_e(E) = \dfrac{5}{40} = \dfrac{1}{8}[/tex] (option H)

Learn more about probability here:

brainly.com/question/1210781

Answer:

84 numbers

Step-by-step explanation:

Numbers starting with 12 – 7 numbers

Numbers starting with 13 – 6 numbers;

14 – 5, 15 – 4, 16 – 3, 17 – 2, 18 – 1.

Thus total number of

numbers starting from 1 is given by the sum of 1 to 7 = 28.

Number of numbers starting from 2- would be given by the sum of 1 to 6 = 21

Number of numbers starting from 3- sum of 1 to 5 = 15

Number of numbers starting from 4 – sum of 1 to 4 = 10

Number of numbers starting from 5 – sum of 1 to 3 = 6

Number of numbers starting from 6 = 1 + 2 = 3

Number of numbers starting from 7 = 1

Thus a total of: 28 + 21 + 15 + 10 + 6 + 3 + 1 = 84 such numbers.

Answer:

Height of triangle = 16 meter

Step-by-step explanation:

Given:

Area of given triangle = 96 squares meter

Base length of triangle = 12 meter

Find:

Height of triangle

Computation:

Area of triangle = (1/2)(b)(h)

Area of given triangle = (1/2)(Base length of triangle)(Height of triangle)

96 = (1/2)(12)(Height of triangle)

96 = (6)(Height of triangle)

Height of triangle = 96 / 6

Height of triangle = 16 meter

Answer:

r^4+h

Step-by-step explanation:

Answer:

896

Step-by-step explanation:

Answer:

(10 × 4 × 18) + ( 9 × 10 × 9 ) = 1530

Answer:

The answer should be D) 4x^ + x + 3

Answer:

408.14

Step-by-step explanation:

The equation would be 300(1.08)^4, this is because when finding interest you use the formula principal(1+%)^time

Answer:

wait nvm I did the wrong answer lemme re check

Ok sorry I reviewed it and i think its D i looked to fast and got confused sorry

Answer:

Its C Translation,reflection

Step-by-step explanation:

I took the test and this was the right answer!!