Find the area. Answer without units

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]

Answer:

everywhere except between 2 and 5

(between -inf and 2 and between 5 and inf)

Step-by-step explanation:

pls brainlist

A function assigns the value of each element of one set to the other specific element of another set. The interval for which the given function is increasing is (-2,0).

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

The given function is increasing only when the slope of the function is positive and when the value of x is increased from -2 to 0. Therefore, it can be concluded that the interval for which the given function is increasing is (-2,0).

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Answer:

I wrote the answers below

Step-by-step explanation:

x+3<70------>0,60

-5x<2--------->3,5

5x<2---------->-3,-1

-3x>18-------->-10,-20

Answer:

$16.20

Step-by-step explanation:

Bill: $54.00

Tip: 20%

People: 4

To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40

10%: $5.40

5.40 times 2 = $10.80

54.00 + 10.80 = 64.80

Grand Total= $64.80

Since there are 4 people, we need to divide by 4:

64.80 divided by 4 = $16.20

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.

Answer:

letters do not belong in math

Step-by-step explanation:

1=1-2=3

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  

Answer:

Clark can type 40 words in one minute

Step-by-step explanation:

I hope this helps!

¿*=£×**€×¿¿==£÷€=4÷54

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.

Answer:

6 students are absent.

Answer:

The independent variable is the number of cars

the band washes and the dependent is the number of money they earn

Step-by-step explanation:

Answer:

If he deposited weekly, he would be depositing 9 dollars each week.

Step-by-step explanation:

Just thank me later and click the crown at the top of this answer if it helped ;)

Answer:

I think the answer is 50.

Step-by-step explanation:

Y + S = 90

S = 4 (Y) - 160

160 = 4 (Y)

Y = 40

90 - 40 = 50

Hope it's correct and helps!

Answer:

Ground shaking is the primary cause of earthquake damage to man-made structures. Many factors influence the strength of earthquake shaking at a site including the earthquake's magnitude, the site's proximity to the fault, the local geology, and the soil type.

The places on the planet where one plate meets another are the most prone to earthquakes. The specific surfaces where parcels of earth slip past each other are called faults. As plates move, pressure builds up across their boundaries, while friction holds them in place

Over 80 per cent of large earthquakes occur around the edges of the Pacific Ocean, an area known as the 'Ring of Fire'; this where the Pacific plate is being subducted beneath the surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.

Answer:

n = 4 - 3

Step-by-step explanation:

Answer : 99cm^2

Hope this helps

The area of the triangle with a height of 11 cm and a base of 18 cm is,

99 cm².

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We also know,

The way of classifying a triangle,

If a² + b² < c² then it is an acute angle triangle.

If a² + b² = c² then it is a right-angle triangle.

If a² + b² ≥ c² then it is an obtuse angle triangle.

The area of a triangle is half times the product of the height and base.

The given triangle has a height of 11 cm and a base of 18 cm.

Therefore, The area of the triangle is,

= (1/2)×18×11 cm².

= 99 cm².

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Answer:

3996 :)

Step-by-step explanation:

Answer:

3,996

Step-by-step explanation:

Hope this right.but if it's not,im so sorry

Answer:

She decided to survey each other child instead of every child

Step-by-step explanation:

Sorry if im wrong

Answer:

so if you have a multie chose it would be A D E

Step-by-step explanation:

Answer:

8units²

Step-by-step explanation:

Area of the trapezoid = 1/2(a+b)h

a and b are the opposite sides

h is the height

Take a square as 1 unit

a = 1 unit

b = 3 units

height h = 4 units

Substitute

A = 1/2(1+3)*4

A = 1/2 * 4 * 4

A = 16/2

A = 8units²

Hence the area of the trapezoid is 8units²

Answer:

Step-by-step explanation:

If the slopes are the same but the y-intercepts are different, the system has no solution.

If the slopes are different, the system has one solution.

If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Answer:

Step-by-step explanation:

If you mean linear systems. If lines have a different slope there will be one solution. If they have the same slope (parallel) and a different y intercept there are zero solutions. If they have same slope and y intercept than they are the same line and have an infinite number of solutions.

Answer:

$7.96

Step-by-step explanation:

20 - 10.24 = 9.96 - 2 = $7.96