P(E') = P(F) = 0.6 and P(E n F) = 0.24:
a. Write down P(E).
b. Explain how you know E and F:
i are independent
ii are not mutually exclusive
c Find P(E u F').

Answer: sun are the main light source

Step-by-step explanation:

Answer:

What is sun ?

Check the picture below.

Answer:

45

Step-by-step explanation:

If he uses 2/6 of a liter thats 3 days for 1 liter.

3 x 15 is 45. so 45 days

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Item a:

This probability is P(X = 0) when n = 3(none of the first three living within five miles of you) multiplied by 0.55(the fourth does live within five miles), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]

[tex]p = 0.091125(0.55) = 0.0501[/tex]

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

[tex]E = \frac{q}{p}[/tex]

In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:

[tex]E = \frac{1}{0.55} = 1.82[/tex]

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]

Hence, since [tex]q = 1, p = 0.55[/tex]:

[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]

The standard deviation is of 1.22 students.

Item d:

This probability is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex], hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]

There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

Hence, since [tex]n = 5, p = 0.55[/tex]:

[tex]E(X) = 5(0.55) = 2,75[/tex]

It is expected that 2.75 students live within five miles of you.

A similar problem is given at https://brainly.com/question/25343741

Answer:

9

Step-by-step explanation:

Because area is multipication, you need to multiply legth and width. So 3x3=6. Hope it helps! :)

The linear equation that could be used to model Li Juans auto yard is c/60 + v/50 = 1

A linear equation is in the form:

y = mx + b;

where m is the rate of change, b is the initial value of y and y, x are variables.

Let c represent the number of cars and v represent the number of vans.

Hence when it is filled to capacity:

c/60 + v/50 = 1

The linear equation that could be used to model Li Juans auto yard is c/60 + v/50 = 1

Find out more at: https://brainly.com/question/25718473

Answer:

b.y=4

c. x=6

These are the answers hope this helps

Answer:

sorry cant help

Step-by-step explanation:

Answer:

12hrs and 32 minutes

Step-by-step explanation:

because the same am time to pm time is exactly 12 hrs and 11:34am is 26 minutes away from 12am so you can 26 minutes to get to 12am then 12am is 12hrs away from 12pm so you add 12hrs and now you are at 12pm at 12pm you add 6 minutes to get to 12:06pm which is a total of 12hrs and 32 minutes

Answer:

The domain of a relation is the set of all first coordinates (x-coordinates) of the ordered pairs. The range of a relation is the set of all second coordinates (y-coordinates) of the ordered pairs.Step-by-step explanation:

Answer:

A - {-1, 0, 1, 3}

Step-by-step explanation:

the domain is how far the relation stretches across the x axis. the points here are -1, 0, 1, and 3, so that is the domain

Answer:

a)3

b)33

Step-by-step explanation:

a)10% is the same as 10/100 so 30/100=0.3 x 10= 3

b) 3+30 = 33

The part wasted at the consumer or retail level is referred to as food waste. We make this distinction to address the root.

Answer:

Both of the freezing points would be °C

Answer:

Step-by-step explanation:

Solve for r.

17r–13r=20

4r = 20

r = 20 : 4

r = 5

Answer:

234 millimeters^2 is the answer

Step-by-step explanation:

Answer:

is this supposed to be a free point question? I'm confuzzled

Answer:

3x+y-10

Step-by-step explanation:

please Mark my answer in brainlist

Answer:

It is a function.

Step-by-step explanation:

Each input goes to exactly one output. Therefore, this is a function.

Answer:

m=15

Step-by-step explanation:

Answer:

[tex]11[/tex]

Step-by-step explanation:

[tex]\sf{Use\: the\: distance\: formula\: to\: determine\: the\: distance\: between\: two\: points.[/tex]

[tex]\sf{Distance=\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]\mathrm{Plug\:the\:points}[/tex]

[tex]\sqrt{\left(4-\left(-7\right)\right)^2+\left(5-5\right)^2}[/tex]

[tex](4+7)^2=11^2\\(5-5)^2=0[/tex]

[tex]\sqrt{11^2+0}[/tex]

[tex]11^2+0=11^2\\\sqrt{11^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule:\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\:\mathrm{is\ greater\ than \:or\ equal\: to \:0}[/tex]

[tex]=11[/tex]

Answer:

x= (8/5)

Step-by-step explanation:

x= 8÷5

evaluate the equation/expression

x=1.6

then convert to a fraction x= BasePoly 1.6 → 16/10 →8/5

Answer:

Pls help me I think its 5/8

Step-by-step explanation:

Answer:

[tex]8\frac{13}{24\\}[/tex]

Step-by-step explanation:

[tex]4\frac{4}{6}+3\frac{7}{8}[/tex]

[tex]\frac{28}{6}+\frac{31}{8}=\frac{205}{24}=8\frac{13}{24}[/tex]

We want to answer different things regarding linear equations.

The answers are:

1) We want to see which function matches the given graph.

So, we can see that this is a linear function, that passes through the origin, so the y-intercept is y = 0.

We also can see that it passes through the point (2, 1).

Then we have that:

1  = a*2 + 0

1/2 = 0.5 = a

So the linear equation is:

y = 0.5*x

Here the correct option is d.

2) We know the relation:

distance = speed*time

So any permutation of these values can be used to find the time.

Then the option that can not be used to find the travel time is:

b) 70/200 = t

Because in this case, we are taking:

speed/distance = time

And that is incorrect.

3)  We have the formula:

500 = 100*x

Again, using:

Distance = speed*time

The options that are correct are the ones where 500 represents a distance and the 100 represents time or speed, then the correct options are:

a and c.

If you want to learn more, you can read:

https://brainly.com/question/2263981

Using the law of sines, it is found that the angle that the golfer has between the spectator and the hole is of 25.6º.

Suppose we have a triangle in which:

The lenghts and the sine of the angles are related as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

Hence, in this problem, we have that:

[tex]\frac{\sin{115^\circ}}{200} = \frac{sin{x}}{140}[/tex]

[tex]sin{x} = \frac{140\sin{115^\circ}}{200}[/tex]

[tex]x = \arcsin{0.6344}[/tex]

x = 39.4º.

Considering that the sum of the internal angles of the triangle is of 180º, the angle that the golfer has between the spectator and the hole is given by:

A = 180 - (115 + 39.4) = 25.6º.

More can be learned about the law of sines at https://brainly.com/question/27174058

#SPJ1

Answer:

25.6

Step-by-step explanation:

I got it right

Answer:

1. 700 calories

2. 3 servings

3. c = 350s

Step-by-step explanation:

1. 5 servings = 1,750 calories

  divide by 5 on both sides

   1 serving = 350 calories

   multiply both sides by 2

   2 servings = 700 calories

2. 1 serving = 350 calories

   1050 calories = 350 calories X 3

    3 servings = 1,050 calories

3. 1 serving = 350 calories

   # of calories = 350 per serving

    c = 350s

Answer:

100 101 102 103 104 105

Step-by-step explanation:

im kinda confused

Answer:

Cassidy places 5 steps on each album page.

Cassidy places 320 stamps in total.

Step-by-step explanation:

40÷8=5 stamps on each album page

40×8=320 stamps in total

Answer:

Left 3 down 4

Step-by-step explanation:

I'm not sure how to explain it, but I can give advice. A site that really helped me with this was Desmos Graphing Calculator.

Answer:

22.6/62 = 0.364 is the answer

Refer to the attachment

Answer:

Step-by-step explanation:

please try to provide a more accurate information 13cm of what? 790?

Answer:

The area of parallelogram can be found by product of its base and height. The calculations are shown below:  

Step-by-step explanation:

We know that,

Area of parallelogram = base × height

assume base to be 21 cm.

Then,

sin 79° = [tex]\frac{height}{13}[/tex]

∴ height = 13 × 0.98 = 12.74

Area of parallelogram = 21 × 12.74

                                   = 267.54 [tex]cm^{2}[/tex]

The area of parallelogram is calculated as 267.54 [tex]cm^{2}[/tex]

Answer:

f(5)=38

Step-by-step explanation:

f(5) means x=5, or in this case, a=5. We plug in 5 as A. f(5)=7(5+1)-4. f(5)=7(6)-4.

f(5)=42-4

f(5)=38