Answer: $20
Step-by-step explanation:
If you take 1/20, it is 5%
Now take 5% off of $20 and it is $19
A fair coin is flipped three times. Let X be the number of heads observed. (a) Give both the possible values and probability mass function of X. (b) Find P(X ≥ 1) and P(X > 1). (c) Compute E[X] and V ar(X).
Answer:
a)
The possible values are 0, 1, 2 and 3.
The probability mass function of X is:
P(X = 0) = 0.125
P(X = 1) = 0.375
P(X = 2) = 0.375
P(X = 3) = 0.125
b)
[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]
c) E(X) = 1.5, Var(X) = 0.75
Step-by-step explanation:
For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
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]
A fair coin is flipped three times.
This means that [tex]n = 3[/tex]
Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]
a) Give both the possible values and probability mass function of X.
The possible values are from 0 to n, so 0, 1, 2 and 3.
The probability mass function is the probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]
[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]
[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]
[tex]P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
(b) Find P(X ≥ 1) and P(X > 1).
[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]
[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]
(c) Compute E[X] and Var(X).
[tex]E(X) = np = 3*0.5 = 1.5[/tex]
[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]
Clark typed 720 words in 18 minutes. How many words can he type in one minute?
Answer:
Clark can type 40 words in one minute
Step-by-step explanation:
Set up a proportion: [tex]\frac{720}{18} = \frac{x}{1}[/tex] Cross multiply, then divide: 720 × 1 = 720, 720 ÷ 18 = 40So, x = 40I hope this helps!
Last month, sales were £180 000.
This month, sales reached £196 200.
What percentage increase is this?
%?
Explain answer !
( Will give brainlst)
Consider the numbers z= 2 + 5i, w = -3- 2i, and u=-1+2i.
z+w is equal to -1+vi
w-u is equal to - 4i
u + w is equal to -4 -
Answer:
3, 2, 0
Step-by-step explanation:
trust me
The resultant value of vectors are:
1. z + w = -1 + 3i.
2. w - u= -4 - 4i
3. u + w = -4.
Given:
z = 2 + 5i
w = -3 - 2i
u = -1 + 2i
1. z + w:
Adding the real and imaginary parts separately gives
(2 + 5i) + (-3 - 2i) = (2 - 3) + (5 - 2)i
= -1 + 3i
Therefore, z + w is equal to -1 + 3i.
2. w - u:
Subtracting the real and imaginary parts separately gives
(-3 - 2i) - (-1 + 2i) = (-3 + 1) + (-2 - 2)i
= -4 - 4i
Therefore, w - u is equal to -4 - 4i.
3. u + w:
Adding the real and imaginary parts separately gives
(-1 + 2i) + (-3 - 2i) = (-1 - 3) + (2 - 2)i
= -4
Therefore, u + w is equal to -4.
Learn more about Vector addition here:
https://brainly.com/question/28501946
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kate buys 10 ticket to show. She also pays a 5$ parking fee. she spent $35 to see the show. What equation is this
Answer:
35 = 5 + 10x
Step-by-step explanation:
x = the ticket price.
Each ticket was $3
hope this helps :)
(35 - 5)/10 = 3 because She paid 35 all together + 5$ was for parking, we can subtract that. Then 30/10 is equal to 3 so she spent 3 dollars for each ticket
Simplify the rational Expression
Answer:
[tex]\frac{x^2+2x}{x-3}[/tex]
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)
[tex]\frac{x^2+2x}{x-3}[/tex]
HELP ME PLEASE FAST!!!!!!!!!!!!!!!1
Answer:
B.
Step-by-step explanation:
B. is the answer
17) A baseball coach records the height at every second of a ball thrown in the air. Some of the data points
appear in the table below: Which equation is a quadratic model for the data?
Time (s)
0
1
3
Height (ft)
0
64
96
A) h = -16t? + 80t
B)h = -48t2 + 112t
C) h = -32t2 + 80t
D) = -16t2 + 640
Answer:
be smarter
Step-by-step explanation:
How to find distance on a triangle like the diagonal part with the Phyhagorean Theorem?
H2+P2+B2 is the answer of this question
pleaseeee help meee i dont understand
pleaseeeeeeeeeeee helpppppppppppppppp
Answer:
hirap naman yan basahin mo kasi directions
Find the value of x in the equation below.
9.5 = x/5
Answer:
47.5
Step-by-step explanation:
you would do 5 x 9.5 to find the answer for x
A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle
Answer:
12 inches
Step-by-step explanation:
1. The diagonal is the hypotenuse of the right triangle. so since we know one side length, we can figure out the other side length
1. 16^2 + x^2= 20^22. 256 + x^2=4003. x^2=1444. [tex]\sqrt{144}[/tex] = 12D 5/3
Couldn’t fit in pic
Answer:
B
Step-by-step explanation:
You can just move upper y equation and it will be:
6x+3(3x-5)=15
6x+9x-15=15
15x-15=15
15x=30
x=2
Answer:
Try the website, MATH
WAY
type in your equations
if you have the answers send em pls
Step-by-step explanation:
area of rec= length×width
=10×4
= 40
radius= diameter/2
=4/2 = 2
area of semicircle= πr²/2
=22/7×2×2×1/2
=6.28
=6.3
adding both
we get,
=40+6.3
= 46.3
There are 23 students in ms day”s class. Only 17 students are present today use the model to find A the number of students that are absent
Answer:
6 students are absent.
Can you help me put these in order please
Step-by-step explanation:
8.4 - 8.41 - 8.485 - 8.538 - 8.55 - 8.566
Answer: least to greatest
8.4, 8.41, 8.485, 8.538, 8.55, 8.566
least to greatest
find the surface area
Answer:
Surface area = 207 cm²
Step-by-step explanation:
Surface are of triangular prism = 2×BA + P × H
Base Area (BA) = ½*bh
b = 8 cm
h = 9 cm
BA = ½*8*9 = 36 cm²
Perimeter of triangular base (P) = 8 + 9 + 10 = 27 cm
Height for prism (H) = 5 cm
Surface area = 2 × 36 + 27 × 5 = 72 + 135
Surface area = 207 cm²
Blank divided by 2 = 1/10 ? What is divided by 2 that's give the answer 1/10 ?
Answer:
2/20
Step-by-step explanation:
x/2 = 1/10
multiply both sides by 2
x = 2/20
y2-4y+4/(2-6y) x (2y+4)/(3y2-12)
Answer:
what is the question? please ask a question.
Which of the following is an example of a reserved power?
A. raising and maintaining a navy
B. declaring war and governing combat
C. establishing and funding a system of public education
D.coining money and fixing the standards of weights and measures
Answer:
B
Step-by-step explanation:
HELP ME FAST PLSSS<3
A bottle of juice states that a serving is 1/2 cup. How many servings are in a 2-pint container? (one pint= 2 cups)
Answer: 8 servings
Step-by-step explanation:
1/2 cup + 1/2 cup = 1 cup
> 1 cup + 1 cup = 2 cups = one pint
1/2 cup + 1/2 cup = 1 cup
if 4 servings go in one pint then 8 servings goes in 2 pint
Answer:
8 cups/servings.
Explanation:
Can't explain further more because I'm not good in explaining things yet I'm sure that's the correct answer.
Someone please help and explain will mark brainliest
Answer:
Lee earns 2x.
They both earn 3x.
Step-by-step explanation:
If mic earns x, and lee earns 2 times as much, it will be x * 2, or 2x. Then adding mic's salary, x, the number will result in 2x+x. This simplifies into 3x.
.Given the assignment categories and weights listed below, what overall grade should the student get in the class? Round your answer to one decimal place. please show me how you got this and what steps u did please hurry
Weight. Average
Homework30%. 95
Projects 15%. 80
Tests 50% 77
Attendance 5% 50
Answer: The answer of your over all grade is 81
Step-by-step explanation:
You do the % then you add them together.
like in this picture
8 2/3 ÷ 5 7/9 is equal to what?
Answer:
it equals to 8 1/3
Step-by-step explanation:
3 kitchen assistants can prepare 10kg of vegetables in 30 minutes. How long would it take 30 assistants to prepare the same amount?
Answer:
It will take 4.5 minutes.
Step-by-step explanation:
Pls help I need it now pls
Answer:
it would be D because x is based off of the x axis so when it moves left to right. And y is y axis so it moves up and down.
Step-by-step explanation:
Solve for x
Using the pytheogram therom
Answer:
X=14
Step-by-step explanation:
17^2+b^2=19^2
289+b^2=361
361-289=72
The square root pf 72 is ~8.5
subtract 17 from 31 (to get rid of the triangle bases on the bottom).
31-17=14
X=14
(9,18)(4,3) find the slope
Answer:
m (slope) = 3
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
m= 3-(18) / 4-(9)
simplify
m=3
Answer:
3
Step-by-step explanation: