what is the value of x?

Answer:

a) The mean is 3.15.

b) The variance is 1.1655.

c) The standard deviation is 1.08.

d) The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Sixty-three percent of U.S. mothers with school-age children choose fast food as a dining option for their families one to three times a week.

This means that [tex]p = 0.63[/tex]

You randomly select five U.S. mothers with school-age children and ask whether they choose fast food as a dining option for their families one to three times a week.

This means that [tex]n = 5[/tex]

(a) mean

[tex]E(X) = np = 5*0.63 = 3.15[/tex]

The mean is 3.15.

(b) variance

[tex]V(X) = np(1-p) = 5*0.63*0.37 = 1.1655[/tex]

The variance is 1.1655.

(c) standard deviation

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.63*0.37} = 1.08[/tex]

The standard deviation is 1.08.

(d) interpret the results.

The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.

Answer:

i am so sorry about it

its difficult

Answer:

3n^2 -5n -6 = 9  This is a quadratic Equation.

3n^2 -5n -15 = 0

It is solved with the Quadratic Formula:

n = [-b +-sqr root (b^2 - 4ac)] / 2a

a = 3

b = -5

c= -15

n = [--5 +- sqr root(25 -4*3*-15)] / 6

n = [5 +- sqr root (25 + 180) / 6

n = [5 +-sqr root (205) ] / 6

n = 5 + 14.3178210633 / 6

n1 = 19.3178210633 / 6

n1= 3.2196368439

n2= 5 - 14.3178210633 / 6

n2 = -9.3178210633 / 6

n2 = -1.5529701772

Step-by-step explanation:

Answer:

More than 275 dollars of here budget goes to emergencies

Step-by-step explanation:

11% of 2750 is $302.50

Answer:

0.23

Step-by-step explanation:

Total number enrolled in the study = 460

Number of subjects in treatment group = 230

Number who developed sunburn in treatment group = 30

Number of subjects in placebo = 230

Number who developed sunburn in placebo = 130

Proportion of treatment group who developed sunburn = 30 / 230 = 0.130

Proportion of placebo who developed sunburn = 130 / 230 = 0.565

The relative risk of sunburn in treatment group compared with control group :

Proportion of sunburn in treatment / proportion of sunburn in placebo

0.130 / 0.565 = 0.23

Step-by-step explanation:

every student will get 7 slices ....I think si

9514 1404 393

Answer:

Step-by-step explanation:

The expression reduces to ...

  [tex]\dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)[/tex]

The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.

The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.

As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*

  (x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1

There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.

_____

* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)

Answer:

A) 12

Step-by-step explanation:

all triangle CBF is similar to triangle GEF by aa similarity.

EF/BF = EG/BC

6/18 = 4/BC

therefore BC must be 12.

Answer:

Look below

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/fractions.php

I PROMISE THIS IS NOT A SKETCHY LINK IT TAKES YOU TO A FRACTION CALCULATOR

Answer:

120

Step-by-step explanation:

You have 15 inches and 1 and 8 devide 15 multiply 1 and 8

Answer:960? correct for me!

Step-by-step explanation:

The area of equiangular triangle with radius 6 inches is 27√3 square inches.

A triangle with three equal interior angles is called equiangular triangle.

In an equiangular triangle, the measure of each of its interior angle is 60 degrees. Since, all the angles are equal therefore all the side will also be equal.

The formula for finding the area of equiangular triangle is

[tex]Area = \frac{\sqrt{3} }{4} a^{2}[/tex]

Where,

a is the side length of the triangle.

Let the side length of the equiangular triangle be a.

According to the given question.

We have a equiangular triangle with a radius 6.

Since, the radius of the equilateral triangle or equiangular triangle is given by

Radius = [tex]\frac{a}{\sqrt{3} }[/tex]

⇒ a = 6√3 inches.

Therefore, the area of equiangualr triangle is given by

[tex]Area = \frac{\sqrt{3} }{4} (6\sqrt{3} )^{2}[/tex]

⇒ [tex]Area = \frac{\sqrt{3} }{4} \times 36 \times 3[/tex]

[tex]\implies Area = 27\sqrt{3}[/tex]  square inches

Hence, the area of equiangular triangle with radius 6 inches is 27√3 square inches.

Find out more information about area of equaingular triangle here:

https://brainly.com/question/2272529

#SPJ2

Answer:

C

Step-by-step explanation:

the inequality says that x needs to be less than or equal to 2, we know the first number in an ordered pair is x-axis the only number less than 2 is -2

Answer:

A

Step-by-step explanation:

Answer:

x=120°

Step-by-step explanation:

First, let's look at ΔBAC. We can see that all three sides, AB, BC, and CA, are congruent. This means that the triangle is an equilateral triangle, meaning that all angles of the triangle are congruent.

A property of all equilateral triangles is that the interior angles are all 60°. We can prove this by dividing 180, the sum of the interior angles of a triangle, by 3, because there are three equal angles in an equilateral triangle. 180/3=60.

This means that we now know ∠BAC is 60°.

Now let's look at GC. It is a straight line, meaning the angle GAC is 180°.

If ∠BAC is 60°, and ∠GAC is 180°, then x must be 180-60=120°.

x=120°

Answer:

crrfhjgbnjjjhhbnmlpoutdxcjkougfsweee

Answer:

8/9 OR 32/36, depending on whether or not you need it simplified.

Step-by-step explanation:

We know one yard has 36 inches. Since Dennis buys 32, we'll simply put that over 36 to find our fraction. You'll then get 32/36, and the most simplified form of that is 8/9.

Answer:

2*2•5*2•13

Step-by-step explanation:

* = to the power of.

Answer:

Step-by-step explanation:

5200 = 52 * 100

         = 4 * 13 * 10 * 10

        = 2 * 2 * 13 * 2 * 5 * 2 * 5

        = 2⁴ * 5² * 13

Answer:

U need to draw a triangle

Step-by-step explanation:

Tyler have to read total 10 pages of this homework.

A fraction is a number representing a part of a whole.  The whole may be a single object or a group of objects.

Let, the total number of pages of homework be x.

According to the given question

Tyler read [tex]\frac{2}{5}[/tex] of his homework, which is 4 pages of his homework.

⇒ [tex]\frac{2}{5}[/tex]×[tex]x=4[/tex]

⇒[tex]2x=4[/tex]×[tex]5[/tex]

⇒[tex]2x=20[/tex]

⇒[tex]x=10[/tex]

Hence, Tyler have to read total 10 pages of his homework.

Learn more about the fraction here:

https://brainly.in/question/5112127

#SPJ2

Answer:

Yes, 9 is the answer.

Step-by-step explanation:

This is a one step equation so you only have to preform one operation to solve. You do the inverse operation of what the equation is doing. In this case you are multiplying, which means you will divide to solve.

63/7 = 9

Answer:

14.4 units²

Step-by-step explanation:

The ratio of Area of rectangle R to area of rectangle S = square of the length of rectangle R to square of lthe ength of rectangle S

Let the area of rectangle S be represented by x, therefore:

40 : x = 8² : 4.8²

40/x = 64/23.04

Cross multiply

x*64 = 40*23.04

64x = 921.6

x = 921.6/64

x = 14.4

Area of rectangle S = 14.4 units²

Answer: $ 8.97

Step-by-step explanation:

Game =$9.78

toy=$ 6.34

sandwich =$4.91

Total amount  spent=$9.78+$6.34+$4.91=>  $21.03

Total amount=$30

left amount=total amount- amount spent

=   $30-&21.03

 =$8.97

Answer: 240

Step-by-step explanation: V=whl=6·5·8=240

1. Thank me

2. Get nae naed

3. Get nae naed again

Thank you and have a great nae nae

Answer:

E

Step-by-step explanation:

Givens

L = 5 cm

W = 5 cm

H = 2 cm

Formula

SA = 2L*W + 2L*H + 2*W*H

Solution

SA = 2*5*5 + 2*5*2 + 2*5*2

SA = 50 + 20 + 20

SA = 90 cm^3

Answer:

Step-by-step explanation:

Answer:

y

Step-by-step explanation:

Answer:

Steps:

V'W' = VW×2/3

V'W' = 21×2/3

V'W' = 42/3

V'W' = 14