Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) Twenty darts are thrown at a dartboard. The probability of hitting a bull's-eye is .2. Let X be the number of bull's-eyes hit.
expected value
variance
standard deviation

Answers

Answer 1

Answer:

The answer is "4.8, 3.84, and 1.96".

Step-by-step explanation:

Given:

[tex]\to p = 0.2\\\\\to q = 1 - p = 1 - 0.2 = 0.8\\\\\to n = 24\\\\[/tex]

By using the binomial distribution:

[tex]\to Mean(\mu) = n \times p = 24 \times 0.2 = 4.8\\\\\to variance (\sigma^2) = n \times p \times q = 24 \times 0.2 \times 0.8 = 3.84\\\\\to Standard \ deviation (\sigma) = \sqrt{n \times p \times q} = \sqrt{24 \times 0.2 \times 0.8} = 1.96[/tex]


Related Questions

can you guys help me pls

Answers

Answer

A

Step-by-step explanation:

So in the diagrams we see there is 2/3 shaded into a 12  cutted square. So we multiply 4x3 to get 12. So now we have to turn the 3 into 12.

so

[tex]\frac{2}3}[/tex] x[tex]\frac{4}{4}[/tex] =[tex]\frac{8}{12}[/tex]

Since we multiplied 4 on the bottom we have to multiply 4 on the top.

sorry im not good at explaining but if you need me to re explain ill work on it. :)

A sample of size 20 from a normal distribution has sample mean 3.5 and sample variance 14.75. Find 90% confidence intervals for the variance and standard deviation of the distribution.

Answers

Answer:

Variance =9.2983, 27.6927

Standard deviation = 3.0493, 5.2624

Step-by-step explanation:

n = 20

S = 14.75

X² = chisquare

N-1 = degree of freedom

Alpha = 0.1

Alpha/2 = 0.1/2 = 0.05

1-0.1/2 = 0.95

Using statistics table

X² 19,0.05 = 30.14

X² 19, 0.95 = 10.12

A. 19(14.75)/30.14 , 19(14 75)/10.12

= 9.2983, 27.6927 for the variance of the population

B. Standard deviation = square root of variance

= √9.2983, √27.6927

= 3.0493, 5.2624

Please use attachment for better understanding

Find the least common multiple (LCM) for the pair of
numbers 6 and 18.

Answers

Answer:

LCM = 24

Step-by-step explanation:

Help i'll give you brainlyest

Answers

Answer:

Its not A and B and I know that, but can you show the rest so I can see if its C because the rest of the picture isn't there

Solve the system of equations.
-3y + 5x = 26
– 2y – 5x =-16
X =? Y=?

Answers

Answer:

x= 94/25

y= 58/5

Step-by-step explanation:

Answer:

X=4

Y=-2

Step-by-step explanation:

Just did it on Khan

20 POINTS for that someone can give me just the anwers

Answers

Answer:

Solutions for x are 2, 1/3

Everything in the second image is correct except you forgot to put 2 for c in the quadratic formula.

Answer:

:)

Step-by-step explanation:

1. Which set of side lengths form a right triangle?
O 7 in., 8 in., 9 in.
O 33 in., 47 in., 50 in.
18 in., 24 in., 30 in.
O 22 in., 25 in., 32 in.

Answers

Answer:

7,8,9

Step-by-step explanation:

Even though it can be be 7,24,25

Helpppsppspspspspsp plssss

Answers

Answer: About 804.25

Step-by-step explanation:

Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle

I need help. It is due today.

Answers

Answer:

well please send me the question again

What is the estimated volume of a figure with a length of 3cm, a height of 4cm, and a width that is approximately 2 times the height?

Answers

Step-by-step explanation:

Given

length(l)=3cm

height(h)=4cm

breath or width (b)=2×h=2×4=8cm

now it is a cuboid

volume of cuboid=l×b×h=3×8×4=96cm³

Answer:32,cm3

Step-by-step explanation:

water has a density of 1.0 g/cm3 a plastic box has a volume of 78 cm and weighs 80 grams will the box sink or float on water
If possible explain thx!

Answers

What we'll do:

A method to find whether an object will float or sink in a liquid is to find it's specific gravity with respect to the liquid, The Specific Gravity tells us the percentage of object's mass which will be submerged in water

Finding the Specific Gravity:

Density of Box:

Density = Mass / Volume

Density = 80 grams / 78 cm³

Density = 1.02 grams/cm³

Specific Gravity of Box with respect to water:

Specific Gravity = Density of Box / Density of Water

we know that density of water is 1 gm/cm³, plugging the values

Specific Gravity = 1.02 / 1

Specific Gravity = 1.02

Hence, 102% of the object will be under water

Q. but I've only heard about 100% of something, how can something be more than 100%?

A. The answer is that the extra 2% over the 100% is providing to the object being even deeper underwater

What is the equation of g(x)?
The graphs of f(x) = 5x and its translation, g(x), are
shown on the graph.
30 ly
25
12,25)
O g(x) = 5*-9
O g(x) = 5x-10
g(x) = 5x – 9
g(x) = 5x – 10
20-
х
15
(2, 15)
10-
(1,57
f(x) (01)

6 5 4 3 2 -15
2
(1,-5)
wo
g6x)
(0-9)
-15
20
-25
30 -

Answers

Answer:

the third option: g(x) = 5^x - 9

Step-by-step explanation:

identify the y-intercept, which is (0, -9)

find the option with: y = mx - 9

                                                 ↑ the y-intercpet

The equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]

The function f(x) is given as:

[tex]f(x) =5^x[/tex]

From the graph, the function f(x) is shifted down by 9 units

The rule of this transformation is represented as:

[tex](x,y) \to (x,y-9)[/tex]

So, we have:

[tex]g(x) =f(x) - 9[/tex]

Substitute [tex]f(x) =5^x[/tex]

[tex]g(x) =5^x - 9[/tex]

Hence, the equation that represents g(x) is [tex]g(x) =5^x - 9[/tex]

Read more about function transformation at:

https://brainly.com/question/1548871

A cylinder and a sphere shown below have equal volumes what is the radius of the sphere

Answers

Is it looking for the answer in decimals?

Beth has $100 to invest. She can invest this into a 7% simple interest account or into an account with 5% interest compounded quarterly. The table shows the amount that would be in each account over the first five years. Which of the following statements are true about the growth shown in the table? The simple interest shows linear growth because it is adding a constant amount. The simple interest shows exponential growth because it is adding a constant amount. The compound interest shows linear growth because it is multiplying by a constant amount. The compound interest shows exponential growth because it is multiplying by a constant amount.

Answers

Answer:

The answer is a and d

Step-by-step explanation:

The simple interest shows linear growth because it is adding a constant amount.

The compound interest shows exponential growth because it is multiplying by a constant amount.

What is simple interest?

"Simple interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time."

What is compound interest?

"Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest."

Here the principle amount is $100.

Simple interest rate is 7%.

Compound interest is 5% compounded quarterly.

After 5 years, with simple interest, the amount will be

= $[100 + (100 × 7 × 5)/100]

= $[100 + 35]

The simple interest shows linear growth because it is adding a constant amount.

After 5 years, with compound interest, the amount will be

= $[100(1 + 0.05/4)⁴⁽⁵⁾]

= $[100(1 + 0.0125)²⁰]

= $[100(1.0125)²⁰]

Therefore, the compound interest shows exponential growth because it is multiplying by a constant amount.

Learn more about simple and compound interest here: https://brainly.com/question/12999306

#SPJ3

HELP PLZ WILL GIVE BRAINLIEST !!! Simplfy completely (−4x + 6y)(2x − y). Show all work for full credit.

Answers

=-8x^2+16xy-6y^2
work shown in photo below
hope this helps.

Please help!
The kitten, weighing 3 pounds, is adopted. Which of the following statements is true about the distribution of the weight of the remaining cats? Select THREE that apply.
A. The mean of the weight distribution will increase
B. The standard deviation of the weight distribution will decrease
C. The median of the weight distribution will increase
D. The range of the weight distribution will decrease

Answers

Answer:

D

Step-by-step explanation:

I think so :)

Now this helps if correct!

what is the range of 125 110 115 165 145 180

Answers

Answer:

the range is 70, you subtract the highest number from the lowest so 180 - 110 which equals 70

Hope this helps

The range of 110-180 is 70

Is the following number, rational, irrational, or nonreal?​

Answers

Answer:

Rational

√36

=6

plz mark me as brainliest

Answer:  Rational

Step-by-step explanation:  

= /36

= 6

 

Can you give me a thank you?

Find MIssing Angle REAL PERSON HELP PLZ

Answers

Answer:

67 degrees

Step-by-step explanation:

Answer:

67 degrees

Step-by-step explanation:

You wanna sub. 75 from 142. Hope this helped.

help me with all these questions please

Answers

usa a caucula ciêntifica

Find the common ratio of the geometric sequence 6 , 24 , 96 , . . .

Answers

Answer:

4

Step-by-step explanation:

6 * 4 = 24

24 * 4 = 96

Plz hurry.....................

Answers

Answer:

figure of cuboid

volume of cuboid=b×h

Step-by-step explanation:

(10×3×4)in cube=120incube

p(x) = (x + 2)(2x^2+ 3x – 9)
Plot all the zeros (c-intercepts) of the polynomial in the interactive graph.

Answers

Answer:

-2, -3, 3/2

Step-by-step explanation:

Factor 2x^2+ 3x – 9

(x+3)(2x-3)

(x + 2)(x+3)(2x-3)  - the zeros are basically the opposite of the numbers here

x+2=0

x=-2

x+3=0

x=-3

2x-3=0

x=3/2

To plot just put the numbers on the x line because it is (x,0)

what is greater 0.03 or 0.02

Answers

Answer: 0.03

Step-by-step explanation:

You take out a loan for $ 1 , 000 at a simple interest rate of 10 % to be paid back in 12 monthly installments. What is the amount of the monthly payments?

Answers

Answer:

i need 5 points im sorry mate

Step-by-step explanation:

Answer:

8.33333333333

Step-by-step explanation:

Can someone help me? I am stuck on this question! and tysm to the people who helped me!! <3 have a nice day!

Answers

11 is the answer or 12

Answer:

100/70

Step-by-step explanation:

i did 25 times 4 got 100 then did 100/70

What is the volume to the nearest tenth

Answers

Answer:

735.84

Step-by-step explanation:

Search Up Cone Volume Formula

Answer: 84.7 cm

Step-by-step explanation:

I just multiplied them both and rounded the 84.66 to a 84.7, hope I helped!

50 m
50 m
28 m
Find the area of the isoceles triangle.
The area is
square meters.

Answers

9514 1404 393

Answer:

  672 m²

Step-by-step explanation:

There are several ways you can do this.

It appears you are intended to divide the isosceles triangle into halves that are right triangles with a leg of 14 and a hypotenuse of 50. The height can then be found from the Pythagorean theorem:

  h² = 50² -14² = 2304

  h = √2304 = 48

Then the area is ...

  A = 1/2bh

  A = (1/2)(28 m)(48 m) = 672 m² . . . triangle area

_____

Additional comment

You may recognize the right triangle as a (7, 24, 25) Pythagorean triple, multiplied by 2.

Monique and Tara each make an ice-cream sundae. Monique gets 3 scoops of Cherry ice-cream and 1 scoop of Mint Chocolate Chunk ice-cream for a total of 66 of fat. Tara has 1 scoop of Cherry and 3 scoops of Mint Chocolate Chunk for a total of 70 of fat. How many grams of fat does 1 scoop of each type of ice cream have?

Answers

Answer:

Cherry ice cream contains 19.75 grams of fat

Mint chocolate chunk ice cream contains 6.75 grams of fat.

Step-by-step explanation:

From the given question,

3C + 1M = 66 ............. 1

1C + 3 M = 70 ........... 2

Multiply equation 1 by 1, and 2 by 3 to have,

3C + 1M = 66

3C + 9 M = 210

Subtract,

1 M - 9 M = 66 - 210

-8 M = -54

Divide through by -8 to have,

M = 6.75

Substitute the value of M in equation 1,

3C + 1(6-75) = 66

3C = 66 - 6.75

3C = 59.25

C = 19.75

Thus,

1 scoop of the Cherry ice cream contains 19.75 grams of fat, while 1 scoop of the Mint chocolate chunk ice cream contains 6.75 grams of fat.

Estimate a 15% tip on a dinner bill of $63.27 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

69

Step-by-step explanation:

Nearest 10 = 60

15%×60 = 9

60+9 = 69

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