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.
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]
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:
A and T are variables.
The variable (48 - A) is directly proportional to the square of the variable T.
A is 28 when T = 2
(a) Find the formula for (48 - A) in terms of T.
please answer fasttt
Answer:
20 is the answer
Step-by-step explanation:
48-28=20
If L // M find the value of X. provide step by step explanation please
Answer:
x = 29°
Step-by-step explanation:
If line l is parallel to line m, therefore:
(180° - 130°) + 101° + x° = 180° (angles on a straight line)
50° + 101° + x° = 180°
151° + x° = 180°
x = 180° - 151° (substraction property of equality)
x = 29°
Variable p is 2 more than variable d. Variable p is also 1 less than variable d.
Which pair of equations best models the relationship between p and d? (5 points)
A. p = d + 2
p = d − 1
B. p = d − 2
p = d + 1
C. d = 2p
d = 2p − 1
D. d = 2p
d = 2p + 1
Step-by-step explanation:
The correct answer is p= 2+d and p= d-1
Paul placed black and white square tiles on a rectangular floor using the pattern shown below. If the entire floor measures 9 feet by 12 feet, what is the total number of black tiles that Paul used?
you have to show the pattern
y2-4y+4/(2-6y) x (2y+4)/(3y2-12)
Answer:
what is the question? please ask a question.
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
Solve each two step problem.
9) Darlene worked 40 hours a week at $8.75 per hour. From her earnings the company
withheld $55.75. How much did she have left?
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
If a family has already got four boys, then the next baby is more likely to be a girl than a boy. Is this correct?
8 2/3 ÷ 5 7/9 is equal to what?
Answer:
it equals to 8 1/3
Step-by-step explanation:
pleaseeee help meee i dont understand
Raj and Carlos are reading. Carlos reads a chapter in 4 minutes, which is 3 minutes less time than it takes Raj.
How long does it take Raj to read a chapter?
Answer:
7
Step-by-step explanation:
Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj
4+3=7
In which region are the patient counts most similiar
Simone jogs 5 kilometers. How many meters does she jog?
Using either substitution or elimination method, solve the system of equations that consists of 8x+y= -16 and -3x+y=-5 Your solution will be a coordinate of integers.
Answer:
x= -1
y= -8
Step-by-step explanation:
Solve for y in 8x + y = -16
y = -16 - 8x
Substitute y = -16 - 8x into -3x + y = -5
-11x - 16 = -5
Solve for x in -11x - 16 = -5
x = -1
Substitute x = -1 into y = -16 - 8x
y = -8
Therefore,
x= -1
y= -8
Answer:
(-1, -8)
Step-by-step explanation:
SUBSTITUTION METHOD:
8x + y = -16-3x + y = -5Solve for y in the first equation by subtracting 8x from both sides.
y = -16 - 8xSubstitute this value for y into the second equation.
-3x + (-16 - 8x) = -5Remove the parentheses and simplify.
-3x - 16 - 8x = -5Combine like terms.
-11x - 16 = -5Add 16 both sides of the equation.
-11x = 11Divide both sides of the equation by -11.
x = -1Substitute this value for x into either equation (I'm using the first equation).
8(-1) + y = -16Multiply and simplify.
-8 + y = -16Add 8 to both sides of the equation.
y = -8ELIMINATION METHOD:
8x + y = -16-3x + y = -5Subtract the second equation from the first equation to "cancel" the y-variable.
11x = -11Divide both sides of the equation by 11.
x = -1Substitute this value for x into either equation (I'm using the second equation).
-3(-1) + y = -5Multiply and simplify.
3 + y = -5Subtract 3 from both sides of the equation.
y = -8The solution to this system of equations is (-1, -8).
Find the slope of 5y-x=2
Answer:
Slope is 1/5
Answer: -1/5
Step-by-step explanation: here!
Explain answer !
( Will give brainlst)
PLEASE PLEASE PLEASE PLEASE PLEASE HELP
If sin B= 0.5678, what is the measure of
Answer:
sin B= 0.5678,
B=sin-¹(0.5678,)
B=34.59°
Alex has a bag of marbles. 3 are blue, 5 are red, 12 are green, and 8 are purple. What is the probability of drawing 3 purple marbles in a row without replacement?
Instructions: Find the missing length
Answer:√20
Step-by-step explanation:
The missing side length of the right triangle is or about 4.47 . Explanation: When we talk about the side lengths of a right triangle,
The first platform of the Eiffel Tower is 2,280 inches above the ground. The second platform is 376 feet above the ground. How many yards separate the first platform from the second platform?
Answer:
62.0496 yards separate the first platform from the second platform
Step-by-step explanation:
We have to make the conversion of both units to yards.
Each feet has 12 inches.
Each inch is 0.0278 yards.
The first platform of the Eiffel Tower is 2,280 inches above the ground.
So
2280*0.0278 = 63.384 yards above the ground.
The second platform is 376 feet above the ground.
So
376*12*0.0278 = 125.4336 yards above the ground
How many yards separate the first platform from the second platform?
125.4336 - 63.384 = 62.0496
62.0496 yards separate the first platform from the second platform
pls help asap
An administrative assistant can type 100 words in 90 seconds. What is the assistants rate of typing in word per minute
Angles 1 and 2 are complementary. If m<1 = 56°, what is the measure of <2?
Answer:
34°
Step-by-step explanation:
complementary means they equal 90° so you just have to subtract 56 from 90 and then you get your answer.
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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.
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Answer:
hirap naman yan basahin mo kasi directions
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
D 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