Find the SUM of the first 20 terms in the following sequence.
2, 5, 8...

Answer:

Mean = 0

Variance = 4/3

Standard Deviation √4/3

a= 0.9

Step-by-step explanation:

If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12

Here a=  -2 and b= 2

Now finding the mean = a+b/2=-2+2/2= 0

Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3

Standard Deviation = √Variance= √4/3

b) [tex]\int\limits^a_b f({x}) \, dx[/tex]=  \int\limits^a_a {\frac{1}{a- (-a)} } \, dx

                =1/2a[x]^a_-a= 2a/2a= 1  (applying the limits to the function)

P(−a<X<a) =[tex]\int\limits^a_b {x} \, dx[/tex]=1/2 * 2a= a    (applying the limits to the function)

P(−a<X<a)= 0.9

a= 0.9

In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.

Using the uniform distribution, we have that:

An uniform distribution has two bounds, a and b.

In this problem, interval [−2,2], hence [tex]a = -2, b = 2[/tex].

The mean is:

[tex]E(X) = \frac{a + b}{2}[/tex]

Hence:

[tex]E(X) = \frac{-2 + 2}{2} = 0[/tex]

The variance is:

[tex]V(X) = \frac{(b - a)^2}{12}[/tex]

Hence

[tex]V(X) = \frac{(2 - (-2))^2}{12} = \frac{16}{12} = 1.25[/tex]

The standard deviation is the square root of the variance, hence [tex]\sqrt{1.25} = 1.12[/tex]

A similar problem is given at https://brainly.com/question/14767944

Hey there!

[tex](x-8)^2=25[/tex]

To solve this equation, you will need to simplify both sides.

[tex]x^2-16x+64=25[/tex]

Now we will need to minus(subtract) 25 from both sides of the equation.

[tex]x^2-16x+64-25=25-25=x^2-16x+39=0[/tex]

Now we will need to factor out the left side.

[tex](x-3)(x-13)=0[/tex]

In our last step, we will need the set factors equal to zero.

[tex]x-3=0\\x-13=0\\x=3(ANSWER)\\x=13(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

B

Step-by-step explanation:

90/3=30

Answer:

0.99+10=10.99

Step-by-step explanation:

Answer:

the anwser is 6

Step-by-step explanation:

Use the x- intercepts as the x becuase when x=0 it will give you the x- intercept.

therefore, just plug them in.

Answer:

the anwser is 7 buddy hope it helps

Answer:

3.2

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

If you need an explaination you should immediatly remove yourself from the Gene pool, this is a 3rd grade question.

The result is: 30 divided by 1.25 equals 24.

To divide 30 by 1.25, follow these steps in words:

The division 30 ÷ 1.25 can be written as the fraction 30/1.25.

Remove the decimal by multiplying both the numerator and denominator by a power of 10 to convert the decimal into a whole number.

Since 1.25 has two decimal places, multiply both the numerator and denominator by 100 to remove the decimal:

30/1.25 = (30 * 100) / (1.25 * 100) = 3000 / 125

Find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD to simplify the fraction:

GCD of 3000 and 125 is 25.

3000 ÷ 25 = 120

125 ÷ 25 = 5

So, 3000/125 simplifies to 120/5.

Divide the numerator by the denominator to get the final result.

Now, simply divide the numerator (120) by the denominator (5):

120 ÷ 5 = 24

The result is 24.

So, 30 divided by 1.25 equals 24.

To learn more on division click:

brainly.com/question/21416852

#SPJ6

Answer:

80

Step-by-step explanation:

20 / 25 = 0.8 = 80%

Answer:

80%

Step-by-step explanation:

20/25 = 0.8 = 80%

Answer: I think the answer is C

Answer:

yea i agree with kassidy

Answer:

7

Step-by-step explanation:

3x – one-ninthy = 18, when y = 27?

one-ninthy 27 = 3

3x - 3 = 18

3 x 7 = 21

21 - 3 = 18

hope this helps

Answer:

7

Step-by-step explanation:

answered on edge

f(-5) = 15 (A)

f(x) = - 2x + 5

replace x = - 5

f(-5) = -2(-5) + 5

(-)(-) = +

f(-5) = 10 + 5

f(-5) = 15 (A)

f(-5) = -2(-5) + 5

(-)(-) = +

f(-5) = 10 + 5

f(-5) = 15 (A)

Answer/Step-by-step explanation:

a. Angle y is vertically opposite the angle that measures 80°. Vertically opposite angles are said to be equal to each other, therefore, y = 80°

x + y + 50° = 180° (sum of angles in a ∆)

x + 80° + 50° = 180 (substitution)

x + 130° = 180°

x = 180° - 130° (subtracting 130 from each side)

x = 50°

b. x + 50° = 120° (sum of the 2 opposite interior angles in a ∆ = the exterior angle of the ∆)

x = 120 - 50 (subtracting 50 from each side)

x = 70°

y + x + 50° = 180° (sum of angles in a ∆)

y + 70° + 50 = 180° (substitution)

y + 120° = 180°

y = 180 - 120 (subtracting 120 from each side)

y = 60°

Answer:

4a=23

4a/4 = 23/4

a=5.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: Is the same as  2.8 to 58

Step-by-step explanation:

The ratio 1.4 to 29  could be written as 1.4/29  and the ratio 2.8 could be as  

2.8/ x  where x it he missing number.

Now set up a cross product equation to solve for x.

[tex]\frac{1.4}{29} = \frac{2.8}{x}[/tex]      Cross multiply

1.4x = 81.2     Divide both sides by 1.4

x= 58  

Answer:

280 miles

Step-by-step explanation:

We want to determine what speed Camden is going first so we can find the distance. To do so, you can divide the total miles (320) by the number of hours (8) to find he is driving 40 miles per hour. Then, you can take that and multiple it by the number of hours he will drive (7) to get 280 miles. I hope this helps! :)

Answer:

Step-by-step explanation:

y - 4 = -(x - 2)

y - 4 =-x + 2

y = -x + 6

Answer:

x = 9

y = 56

Step-by-step explanation:

(3x + 7)° + (6x + 2)° = 90° (both angles are complementary)

Find the value of x using this equation

[tex] 3x + 7 + 6x + 2 = 90 [/tex]

Collect like terms

[tex] 3x + 6x + 7 + 2 = 90 [/tex]

[tex] 9x + 9 = 90 [/tex]

Subtract 9 from each side

[tex] 9x + 9 - 9 = 90 - 9 [/tex]

[tex] 9x = 81 [/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{81}{9} [/tex]

[tex] x = 9 [/tex]

y° = (6x + 2)° (both angles are vertical angles. Vertical angles are equal)

Plug in the value of x to find y

y = 6(9) + 2

y = 54 + 2

y = 56

Answer:

RSM = 56.4

Step-by-step explanation:

RSM + MST = RST

RSM + 33.6= 90

Subtract 33.6 from each side

RSM + 33.6 - 33.6= 90-33.6

RSM= 90-33.6

RSM = 56.4

RST is a right angle, and right angles are 90 degrees

RST = 90 degrees

MST = 33.6 degrees

RSM = ?

The angles MST and RSM add up to 90 degrees

90 = 33.6 + RSM

Subtract 33.6 from both sides

56.4 degrees = RSM

Answer: 60 rooms

Step-by-step explanation:

because in 30 rooms is 3 hour + other 3 hour are 60 rooms. =60 rooms

someone said this was wrong and I realized that I was just confused so i fixed it

it's 3:1

Answer:

b

Step-by-step explanation:

Answer: 1/15

Step-by-step explanation: A. If 1/3 cup makes 5 rolls, you need to know how many cups make one. (1/3)/5 = 1/15  Take the number of cups for one roll and multiply it by 3.  1/15 x 3  Final Answer = 3/15

B. Take the number of cups you have divided by 1/3 (since you know how many roles this makes)  (5 2/3) / (1/3)  Final Answer = 17

C. Well, we already solved for this one in A, didn't we?  Final Answer = 1/15

Answer:

ok lol

Step-by-step explanation:

Answer:

Is it just me or after this did you just put the 2nd answer for every question after this and failing every test I have taken

Step-by-step explanation:

Answer:

520

Step-by-step explanation:

Answer:

Yes, the student is correct.

Step-by-step explanation:

2*4=8 scoops

1/2*4=2 gallons

Since they were multiplied by the same number, the student is correct. It's like making it 4 times, but all at once.

I hope this was helpful!

Answer:

-24r + 56

Step-by-step explanation:

To find the area of this rectangle we multiply width and length

8 × (-3r + 7) = -24r + 56