Select the correct answer.
What is the range of the data represented by the box plot?
Range = 2 range = 4 range = 10 range = 12

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:

12.5km

hope this helps

have a good day :)

Step-by-step explanation:

Answer:12.5Km

Step-by-step explanation:

You do 2.5 x 5

Answer:

16

Step-by-step explanation:

Answer:

h = 16

Step-by-step explanation:

Ratios:

[tex]\frac{h}{24} =\frac{4}{6} \\\\6h=96\\h=16[/tex]

Answer:

V≈2144.66m³

Step-by-step explanation:

V=4 /3πr^3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³

Hope this helped!!!

Answer:

2143.57 m³

Step-by-step explanation:

Formula of volume of sphere

[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex] = \frac{6430.72}{3} [/tex]

[tex] = 2143.573333...[/tex]

= 2143.57 m³ (rounded to the nearest hundredth)

Answer:

3,075

Step-by-step explanation:

Answer:(1) 11-2n is the correct answer

Step-by-step explanation:

Answer:

39:65

Step-by-step explanation:

104/(3+5) = 104/8 = 13    13(3):13(5) =  39:65

Answer:

The associated PROPS are as follows:

a:[tex]P\rightarrow R[/tex]

b: [tex]R\rightarrow P[/tex]

c:[tex](Q \vee R)\rightarrow P[/tex]

d:[tex]\sim(P \lor Q)\rightarrow \sim(R \lor S)[/tex]

e:[tex]P\rightarrow (R\rightarrow Q)[/tex]

where

P is Pia is guilty

R is Raquel is guilty

Q is Quinn is guilty

S is Stan is guilty

Step-by-step explanation:

When only if is used the conditional antecedent and consequent are interchanged thus the first one is written as such.

In addition to this, the different symbols are used such that their logical meanings are clear.

Answer:

The number is 0.0625

Answer:

-80

Step-by-step explanation:

To find x, set the equation equal to zero

4x-20=0

the next step is to isolate the variable, you can do this by adding 20 to both sides, remember when you change one side of the equal sign you must do the same to both

4x=20

now you can divide by 4 to get x by itself, again divide both sides of the equation

4x/4=20/4

x=5

After doing the division we see that x is equal to 5, and you can always check to see if your answer is correct by plugging it back into the equation:

4(5)-20=0

20-20=0

Hope this helps :)

35

Step-by-step explanation:

Answer:

1 adult = 16 students

a = 16x

Step-by-step explanation:

Answer:

Its 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

make a factor tree, find the product of the prime factors, it will be 12.

Answer:

I think the answer is 103.6

Step-by-step explanation:

divide the base by 2, which will give you 24 and find the hypoteneuse with Pythagorean theorem

(14)^2 + (24)^2 = /742 = 27.8

27.8x2 + 48 = 103.6

hope that answers your question

Answer:

7/2 or 3 1/2

Step-by-step explanation:

Answer: 8

Step-by-step explanation: numbers are 5 and 3.

5²·3 =75

Answer:

∠X in the pre-image will be equal to ∠L in the main image

Step-by-step explanation:

△LMN is the result of a reflection of ​ △XYZ which means △LMN is the mirror image​ △XYZ

hence, the left of △XYZ will be equivalent to the right of △LMN and the right of △XYZ will be equivalent to the left of △LMN

Hence, ∠X in the pre-image will be equal to ∠L in the main image

Answer:

every other night another $1 getting made

Step-by-step explanation:

Answer:

eeeeeeeeeeee nose

Step-by-step explanation:

Answer:

-4-2/-1-1=-6/-2= 3

So the answer is 3

Answers on edg. are:

log2 8

log3 27

log10 1,000

Step-by-step explanation:

Yo just trust me ight

Answer:D

Step-by-step explanation:

Plug in 700 for P0, .02 for r, 12 for n and n, and 7 for 5.

Approx value of the account in 7 years will be 805.10$.

Simple interest and compound interest are the two methods for calculating interest. Simple interest is computed on a loan's principal, or initial loan amount. Compound interest is sometimes referred to as "interest on interest" since it is computed using both the principal and the accrued interest from prior periods.

Given that equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.

P = P0 (1+r/n)nt

Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account.

Hence, initial deposit:$700.00

Interest rate:2% yearly

Time:7 years

Compounding: Monthly so n = 12

put these values in the given equation. we will get P = 805.10

Therefore the value of the account in 7 years will be 805.10$.

Learn more about Compound interest here:

https://brainly.com/question/29335425

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Answer:

B

Step-by-step explanation:

Kinda hard to explain but I'm pretty sure it's B

Step-by-step explanation:

[tex]U _{ {20}^{th} } = a + (n - 1)d \\ = 42 + (20 - 1) \times 14 \\ = −252[/tex]

Answer:

[tex]Pr = 0.833[/tex]

Step-by-step explanation:

Given

A roll of a pair of dice

Required

The probability of getting different numbers

First, list out the sample space;

We have:

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

 [tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]

The total is:

[tex]Total = 36[/tex]

The outcomes of the different numbers are:

[tex]Different = \{(1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]

[tex](3, 1) (3, 2)(3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) \}[/tex]

The total is:

[tex]Different = 30[/tex]

So, the probability of having a different outcome is:

[tex]Pr = \frac{Different}{Total}[/tex]

[tex]Pr = \frac{30}{36}[/tex]

[tex]Pr = 0.833[/tex]

Answer:

Its C

Step-by-step explanation:

bro just count?????? 11, 12, 13, 14, 15??????

Answer:

11,12,13,14,15

Step-by-step explanation:

The number scale goes like this 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 so look at the numbers in between 10 and 15 except dont count in ten because they have to be greater the 10. so therefor 11,12,13,14,15 :)

Answer:

48

Step-by-step explanation:

Imagine that all of the other angles within the circle are gone except for the angle "y".

Now kindly look at the image.

We would be left with angle y as the inscribed angle and 96° for the measure of the intercepted arc.

The relationship between intercepted arcs and inscribed angles is that the inscribed angle is equal to half the measure of the intercepted arc.

So y is equal to half of the measure of its intercepted arc. ( Which in this case has a measure of 96° )

so y = [tex]\frac{96}{2}[/tex]

96/2=48

Hence the value of y is 48

Answer: It will be C, 5x + 2y = 6 is equivalent to y = -5/2x + 3

The equivalent equation for the given is y=-5/2x+3. Therefore, option A is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given equation is 5x +2y=6.

The equivalent equation is 2y=-5x+6

y=-5/2x+6/2

y=-5/2x+3

Therefore, option A is the correct answer.

To learn more about the the equation of a line visit:

https://brainly.com/question/2564656.

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Select the line that is equivalent to 5x +2y=6.

A) y=-5/2x+3

B) y=5/2x-3

C) y=-2/5x+6/5

D) y=2/5x-6/5