Calculate the standard deviation of X for the probability distribution. (Round your answer to two decimal places.)
x 0 1 2 3
P(X = x) 0.1 0.5 0.1 0.3

Answer:

x = 4

Step-by-step explanation:

7.5 + 7.5 = 15

[tex]\frac{x}{8}[/tex] = [tex]\frac{7.5}{15}[/tex]

cross multiply

15x = 60

divide

x = 4

or

since the bigger one is 2x smaller

8/2 = 4

Answer:

45 ways

Step-by-step explanation:

5*3*3 = 45

Answer:

45

Step-by-step explanation:

5*3*3

5*3=15

15*3=45

Answer:

12.

12% of 100= 12.

Answer:

20

Step-by-step explanation:

Answer:

The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Sample of 9000, 51% of students had at least one parent who was a college graduate.

This means that [tex]n = 9000, \pi = 0.51[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 - 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.4964[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 + 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.5236[/tex]

The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).

Answer:

x= 8 inches

Step-by-step explanation:

you left out the other lengths but since i had this same question once, the other lengths are 12 and 2-

dimensions of the box:

12 in x 2 in x ?

=272 square inches

and we know that there are 6 faces

area=  2 *(12 * 2) + 2 *(2*x) + 2 *(12*x)

area = 272 sq. in.  = 48 + 4x + 24x

272 = 48 + 28x

272 - 48 = 28x

224 = 28x

x = 8 inches

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

60 Units

Step-by-step explanation:

The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.

The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of the sides of the triangle are

The measure of side AB = 61 units

The measure of side BC = 11 units

The measure of side AC = 60 units

And , the triangle is rotated by 90° counterclockwise  about the origin

The coordinates of the triangle after rotation is A'B'C'

And ,

The measure of side A'B' = 61 units

The measure of side B'C' = 11 units

The measure of side A'C' = 60 units

The length of the sides of the triangle does not change during a transformation of rotation by any degree

Hence , the measure of side A'C' of triangle is 60 units

To learn more about rotation click :

https://brainly.com/question/3956347

#SPJ3

Answer:

6 units^2

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]3^{2} +b^{2} =5^{2}[/tex]

[tex]9+b^{2} =25[/tex]

[tex]b^{2}=16[/tex]

[tex]b=4[/tex]

Area of the triangle = Base * Height * 1/2 = 3 * 4 * 1/2 = 6 units^2

Answer:

x = 6

Step-by-step explanation:

I'm not sure if it's correct

Answer: G. (-6,4), (3,5), (2,2) and (-5,1) just look where the dot plot is and you with know the answer.

Step-by-step explanation: Hope this help :)

Answer:

it's 140 ÷ 2 = 70

bcz the XY is a Inscribed angle

Answer:

y = 14.4x - 18.4

Step-by-step explanation:

This is the equation for the regression line, I hope this helps!

Answer:

c

Step-by-step explanation:

im on plato just passed the test

Step-by-step explanation:

let's see....

3m × 5r = 15mr

15(m × r)

15mr.

if it helps don't forget to like and mark me down

Answer:

80 degrees - 43 degrees = ?

Step-by-step explanation:

The decimal 0.7 is less than 0.4.

We have to determine

decimal is less than 0.4

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point.

We know that the decimal numbers increase in size as we move to

The right on the number line

0.4 is less than 0.7.

Let us now compare 1.57 and 1.6.

Therefore, The decimal 0.7 is less than 0.4.

To learn more about the decimal visit:

https://brainly.com/question/52825

Answer:

x = 51

Step-by-step explanation:

These angles equal each other because they're vertical angles so:

2x + 8 = 110

2x = 110 - 8

2x = 102

x = 51

Answer:B

Step-by-step explanation:

Answer:

door Sai so Lally shall icb kiddo do you have any questions

Step-by-step explanation:

ok CV bjf

Answer:

Sydney is 72 years old

Step-by-step explanation:

My friends name is Sydney too lol

Answer:

$10.71

Step-by-step explanation:

$1.19 * 9 = $10.71

Answer:

6.

Step-by-step explanation:

6×5 = 30 (product=multiplication)

30+12=42 (increased=addition)

So, the answer is 6.

Answer:

150

Step-by-step explanation:

The LCM of 10,15,25 10 , 15 , 25 is 2⋅3⋅5⋅5=150 2 ⋅ 3 ⋅ 5 ⋅ 5 = 150 .

Answer: D

Step-by-step explanation:

d. translation 1 unit left & 1 unit up

right on edg

Answer:

1/20

Step-by-step explanation:

1/20 +x = ⅒

multiply through by 20

1+20x=2

1-2=-20x

-1= -20x

1/20=x