I will give brainliest. any irrelevant awnsers will be flagged :). pls help.

Answer:

use this videos to help you

a) The cumulative distribution function F of X is: F(x) = P(X ≤ x) = 1

b) The mean E(X) is: E(X) = 0.5 hours.

c) The variance Var(X) is: the variance of X is approximately 0.0833 hours².

To find the cumulative distribution function (CDF) of X, we need to consider two cases: when the boy comes back inside before 45 minutes and when the boy is brought inside by his mother after 45 minutes.

(a) Cumulative Distribution Function (CDF) F of X:

For 0 ≤ x < 0.75 (when the boy comes back inside before 45 minutes):

Since the boy comes back inside uniformly distributed on the interval [0, 1], the CDF is simply the probability that the boy comes back inside before time x.

The probability of the boy coming back inside before x is equal to x, as it is a uniform distribution.

F(x) = P(X ≤ x) = x

For 0.75 ≤ x ≤ 1 (when the mother brings the boy inside after 45 minutes):

If the boy is not back inside at 45 minutes (0.75 hours), his mother brings him inside.

Therefore, the probability of the boy coming back inside before x in this case is 1.

F(x) = P(X ≤ x) = 1

(b) Mean (Expected Value) E(X):

The expected value of X, denoted by E(X), is the average time the boy spends outside before coming back inside.

For a uniform distribution on the interval [0, 1], the expected value is the midpoint of the interval.

Therefore, E(X) = (1 + 0) / 2 = 0.5 hours.

(c) Variance Var(X):

The variance of X, denoted by Var(X), measures the spread or variability of the random variable X around its mean.

For a uniform distribution on the interval [0, 1], the variance is given by:

Var(X) = (1² - 0²) / 12 = 1 / 12 ≈ 0.0833 hours²

So, the variance of X is approximately 0.0833 hours².

To learn more on probability click:

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Answer:

because you cant survive without enough food.

Step-by-step explanation:

Answer:

It's 16,  there's so many question on this one.

Step-by-step explanation:

Answer:

I’m not sure if this is free points or a question but the question is not clear

Step-by-step explanation:

Answer:  Uhmm where is the problem?

Answer: mean- 2.1

Median- 1.4

Mode- 0.5

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

so youre looking for 73% of students rite? of means multiplication , you just times 73% by 60

73%*60=43.8

but there cant be point 8 of a person unless theyre missin a couple limbs, so you round up to 44!

hope it helps :)

Answer:

11?

Step-by-step explanation:

The missing side is 4 so 4+4+3=11.. Maybe?

Answer:

4^2 +3^2 =5^2

=25

Step-by-step explanation:

Pythagorean Theorem.

Answer:

it's compliment is 55 degrees  (55+35 = 90 degrees)

it's supplement is 145 degrees (145 + 35 = 180 degrees)

Step-by-step explanation:

Answer:

5 Probability

5.1 Probabilities

Probabilities are used to describe how likely or unlikely it is that something will happen.

Weather forecasters often talk about how likely it is to rain, or perhaps snow, in particular

parts of the country.

Worked Example 1

(a) When you roll a dice, which number are you most likely to get?

(b) If you rolled a dice 600 times how my sixes would you expect to get?

(c) Would you expect to get the same number of ones?

Solution

(a) You are equally likely to get any of the six numbers.

(b) You would expect to get a six in about 1

6

of the throws, so 100 sixes.

(c) Yes, in fact you would expect to get about 100 of each number.

Worked Example 2

Use one of the following to describe each one of the statements (a) to (d).

Certain

Very likely

Likely

Unlikely

Very unlikely

Impossible

(a) It will snow tomorrow.

(b) It will rain tomorrow.

(c) You win a car in a competition tomorrow.

(d) You are late for school tomorrow.

Solution

(a) Very unlikely for most places in Britain, especially in summer.

(b) Likely or Very likely in Britain in winter.

(c) Very unlikely if you have entered the competition. Impossible if you have not

entered the competition.

(d) Very unlikely, unless the school bus breaks down.

Answer:

Middle bar

Step-by-step explanation:

6 + 4 = 10

10 + 5 = 15

Answer:

An irregular polygon is any polygon that is not a regular polygon. It can have sides of any length and each interior angle can be any measure. They can be convex or concave, but all concave polygons are irregular since the interior angles cannot all be the same.

Step-by-step explanation:

Answer: -8.5

Step-by-step explanation:

I got it right on edg

Answer -8.5

Step-by-step explanation:

Answer:

6 feet

Step-by-step explanation:

Let the length of side length in polygon A be represented by x. Since the two polygons are similar, then it can be deduced that;

Area scale factor = [tex](linear scale factor)^{2}[/tex]

linear scale factor = [tex]\sqrt{Area scale factor}[/tex]

Area scale factor = [tex]\frac{98}{18}[/tex]

So that,

linear scale factor = [tex]\sqrt{\frac{98}{18} }[/tex]

                              = 2.3333

The length of side of polygon A = [tex]\frac{14}{2.3333}[/tex]

                                       = 6.0085

Therefore, the corresponding side length of polygon A is 6 feet.

Answer:

multiply by any number to create a multiple

Step-by-step explanation:

4/5 = 8/10 = 12/15 = 16/20...

Answer:

40 cm

Step-by-step explanation:

10x4= 40

Answer:

A=h.a+b/2

A=3cm.4cm+10cm/2

A=21cm^2

Es 21

Me puedes dar Brainliest porfavor

Step-by-step explanation:

Answer:66.3

Step-by-step explanation:

Answer:

20 gallons

Step-by-step explanation:

10 gallons of solution w/ 15% juice means 1.5 gal of juice

to make it into 5%, multiply 1.5 by 20

1.5 x 20 = 30

5% of 30 gallons is 1.5 since 10% of 30 is 3.

Since there was already 10 gallons, the # of gallons of pure water added should be 20 gal.

I hope this helps thanks

Answer:

What is the amount of juice in the original solution? a =

✔ 1.5

What is the original amount of solution in gallons? b =

✔ 10

How much juice is added? c =

✔ 0

How much total solution is added? d =

✔ x

Step-by-step explanation:

Answer:

-38 + 24

Step-by-step explanation:

-40x + 24 + 2x

= -38x + 24

Answer:

49$

Step-by-step explanation:

245/5

Answer:

83/100

Step-by-step explanation:

Answer:$17.16

Step-by-step explanation:

do you have to start by subtracting the cost of the belt from the total budget: 80-28.5= 51.5. Then you can divide the remaining money by three because he’s buying three ties: 51.5/3≈ $17.16

Answer:

44

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

because you take 3 pulse 2

Answer: 6√7

Step-by-step explanation:

Geometric Mean: Multiply the 2 numbers and take the square root.

6 · 42 = 252

Now take the square root:

√252

Simplify the radical (if needed):

6√7

Your geometric mean is 6√7.

Hope this helps!

Answer:

2

Step-by-step explanation:

I did 8 divided by 4 which is 2.

I hope this helps.

Answer:

$260

Step-by-step explanation:

Divide $780.00 by 3.

780 ÷ 3 = $260

Answer:

Step-by-step explanation:

[tex]\frac{x}{40} =sin 40\\x=40 sin 40 \approx 25.71[/tex]