8
The median of 3 numbers is 7. If one of the numbers is 10, which of the following is a possible value for one of
the other numbers?
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6
8
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13
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Review Questions
Mathematics

The standard deviation of the distribution is 1.08.

Option B is the correct answer.

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

We have,

To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.

The expected value of X is:

E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)

= 1.6 + 0.96 + 0.34 + 0.08 + 0

= 2.98

Next, we need to calculate the variance of X:

Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)

+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)

= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)

= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212

= 1.082

The standard deviation of X is the square root of the variance:

So,

SD(X) = √(Var(X))

= √(1.082)

= 1.04 (approximately)

Thus,

The standard deviation of the distribution is 1.08.

Learn more about standard deviation here:

brainly.com/question/23907081

#SPJ7

Answer:

[tex]x = 55°[/tex]

Step-by-step explanation:

L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.

[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]

Answer:

30 Step-by-step explanation:

Answer:

Its 60

Step-by-step explanation:

I took the test

Answer:

It's Cos again.

Thumbs-up

Answer:

Point B is to the right of point A

Step-by-step explanation:

On a number line, the mid value is usually 0 with positive and negative numbers positioned to the either sides of the midpoint 0, the negative numbers are arranged to the left and the positive numbers are written to the right. With this in mind and the knowledge that positive numbers are always greater than negative numbera. Then we can conclude that point B is greater than point A because point B is positive and point A is negative because point B is to the right of Point A.

Answer:

28

[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]

[tex]2 * x = 8\\x = 4[/tex]

[tex]7 * 4 = x\\x = 28[/tex]

PLZZ GIVE BRAINLIEST

Answer:

1. Obtuse angle

2. 5

3. 117

Step-by-step explanation:

1. Any angle that is wider than 90 degrees is obtuse.

2. 180 = straight angle so, 180-140=40 8x5=40 so x=5

3. Supplementary angles are one angle that is 180 so, 180-63= 117

Answer:

using 3.14 for pi the volume is 502.4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

[tex]x = 8\±\sqrt{10[/tex]

[tex]a =8[/tex]    [tex]b = 10[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 16x + 54 = 0[/tex]

Required

Complete the square

[tex]x^2 - 16x + 54 = 0[/tex]

Subtract 54 from both sides

[tex]x^2 - 16x + 54 -54= 0-54[/tex]

[tex]x^2 - 16x = -54[/tex]

--------------------------------------------------

Take half of - 16

[tex](-16/2) = -8[/tex]

Square the result

[tex](-8)^2 = 64[/tex]

Add the squared result to both sides of the equation

--------------------------------------------------

So, we have:

[tex]x^2 - 16x +64= -54+64[/tex]

[tex]x^2 - 16x +64= 10[/tex]

Expand

[tex]x^2 - 8x - 8x + 64 = 10[/tex]

Factorize

[tex]x(x - 8) - 8(x - 8) = 10[/tex]

Factor out x - 8

[tex](x - 8)(x - 8) = 10[/tex]

[tex](x - 8)^2 = 10[/tex]

Take square roots

[tex]x - 8 = \±\sqrt{10[/tex]

Solve for x

[tex]x = 8\±\sqrt{10[/tex]

We have:

[tex]x = a - \sqrt{b}[/tex]

[tex]x = a + \sqrt{b}[/tex]

By comparing the above with: [tex]x = 8\±\sqrt{10[/tex]

Answer:

Step-by-step explanation:

Answer: Graph D

Step-by-step explanation: Got it right on plato

The graph of a function with the same amplitude as m(x) is graph D.

The general cosine function is written as:

f(x) = A*cos(kx) + M

Where A is the amplitude, k is the angular frequency, and M is the midline.

In our case:

m(x) = -2*cos(x+π).

The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:

2*|-2| = 4

With this in mind, the only graph that meets this requirement is the graph D.

If you want to learn more about cosine functions, you can read:

https://brainly.com/question/7872492

9514 1404 393

Answer:

  C. 6 > 3

Step-by-step explanation:

It is true that 6 is greater than 3.

__

All negative numbers are less than any positive numbers.

We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.

Answer:

a) The value of q is 0.2.

b) E(X) = 1.85.

Step-by-step explanation:

Question a:

The sum of all the probabilities must be 1. So

[tex]0.3 + x + 0.1 + 0.15 + 0.25 = 1[/tex]

[tex]x + 0.8 = 1[/tex]

[tex]x = 0.2[/tex]

The value of q is 0.2.

Question b:

Multiplication of each value of x by its probability. So

[tex]E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85[/tex]

So the answer is E(X) = 1.85.

Answer:

x = 4

Step-by-step explanation:

i am smart

Answer:

X=4

Step-by-step explanation:

Simplifying

8x + 7 = 6x + 15

Reorder the terms:

7 + 8x = 6x + 15

Reorder the terms:

7 + 8x = 15 + 6x

Solving

7 + 8x = 15 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

7 + 8x + -6x = 15 + 6x + -6x

Combine like terms: 8x + -6x = 2x

7 + 2x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0

7 + 2x = 15 + 0

7 + 2x = 15

Add '-7' to each side of the equation.

7 + -7 + 2x = 15 + -7

Combine like terms: 7 + -7 = 0

0 + 2x = 15 + -7

2x = 15 + -7

Combine like terms: 15 + -7 = 8

2x = 8

Divide each side by '2'.

x = 4

Simplifying.                Hope this helps :D

x = 4.                              Plz brainly and like

Answer:

c- use 1.0 as an estimate

Step-by-step explanation:

Answer:

A or g(x) = f(x − 3) + 3

Step-by-step explanation:

Answer:

249.60

Step-by-step explanation:

300 x .8 (100%-20%)=240

240 x .04 (4% sales tax)=9.60

price = 240+9.60=249.60

9514 1404 393

Answer:

  (3, 2)

Step-by-step explanation:

Reflection across y=x swaps the coordinates:

  (x, y) ⇒ (y, x)

Dilation by a factor of 1/2 multiplies each coordinate by 1/2.

  (x, y) ⇒ (x/2, y/2)

The combination of these transformations gives you ...

  (x, y) ⇒ (y/2, x/2)

  (4, 6) ⇒ (3, 2)

Answer:

180°

Step-by-step explanation:

it's half of a circle

The angle AXG is a straight line. The measure of a straight line would be 180

The measure is 180

Answer:

the formula for finding cone volume is V=πr²× 1/3

Step-by-step explanation:

230=3.14×x²×1/3

we have to solve for X that is our radius

14.8

Answer:

The answer should be $57000(1.025)²⁰ = $93,401

Step-by-step explanation:

Answer:

10.5, 31.5,  and 6.

Step-by-step explanation:

So to find the answers here, we must find the  value of t, when h equals 1.

To do this, lets take a h-t value we already know, and solve.

We can use: when h=2 t equasl 21:

2h=21t

So if we divide both sides by two we get:

2h/2=21t/2

=

h=10.5t

So know we know for every one h, t is 10.5

This can be verifyed with 4h = 42t. Which after solving, equals 1h=10.5t

So now that we have a value for t, lets get our solutions.

First off, we have 1h=__t?

Well, we have already made this one clear. It would be 10.5t, since for every 1h we have 10.5t

Next up, we have 3h=___t

All we have to do it multiply 10.5 by 3 to solve this:

10.5*3

=

31.5

So this is our second fill in answer.

Finally we have ___h=63t

We must divide both sides by 10.5, which is equal to 1t, to find this answer:

63/10.5

=

6

So our last fill in answer is 6.

Hope this helps!

Answer:

Question?

Step-by-step explanation:

?

Answer:

Suppose the one number be x

And the other number be 6x

The sum of two numbers is 5

x+6x=5

7x=5

X=5/7

Therefore

One number be 5/7

And other number be 6 * 5/7=30/7

If you are helped with my answer pls tag me brianliest I really want it

THANK YOU...............

Answer:

easy what's 5% of 3000 that's just for one year then multiple it by 4

Answer:

i think the answer is 12 and 18