Let X be a continuous random variable with probability density function: fX(x) = ( 3 4 x (2 − x) 0 ≤ x ≤ 2 0 otherwise. (a) Determine the cumulative distribution function FX. (b) Let Y = √ X. Determine the cumulative distribution function FY . (c) Determine the probability density of Y

Answer: 36.2

Step-by-step explanation:

divide 30 by two (15)

use the pythagorean theorem (a^2+b^2=c^2)

15^2+33^2=x^2

225+1089=x^2

1314=x^2

36.249137... = x

Answer:

Step-by-step explanation:

h(x)=a*b^x

it passes through (0,6) and (1,4)

6=a*b^0

6=a*1

a=6

h(x)=6*b^x

4=6*b^1

b=4/6=2/3

[tex]h(x)=6*(\frac{2}{3} )^x[/tex]

Answer:

35° and 55°

Step-by-step explanation:

Complementary angles sum to 90°

let one angle be x and the other x + 20 , then

x + x + 20 = 90

2x + 20 = 90 ( subtract 20 from both sides )

2x = 70 ( divide both sides by 2 )

x = 35°°

x + 20 = 35 + 20 = 55

The 2 angles are 35° and 55°

Answer:

(0.5,-6)

Step-by-step explanation:

mid point=(x1+x2)/2

 =(-3+4)/2

= 1/2

=0.5

midpoint=(y1+y2)/2

      =(-9+(-3))/2

=(-9-3)/2

=--12/2

=-6

Answer:

baseball

Step-by-step explanation:

Answer:

baseball

Step-by-step explanation:

Look at the graph for baseball.  Notice how the median, represented by the vertical line inside the box, is the one farthest to the left of center.  This makes it the smallest median height (about 72.5 inches).

Answer:

(150-36π) ft^2

Step-by-step explanation:

we need to subtract the area of the circle from the area of the trapezoid to find the area of the shaded region.

area of circle=πr^2=π6^2=36π ft^2

area of trapezoid=(1/2)(a+b)h=(1/2)(12+13)12=150 ft^2

so, the area of trapezoid-area of circle=(150-36π) ft^2

Answer:

B 18.

Step-by-step explanation:

(n - 2) /(n + 6) = 2/3    Cross multiply:

2n + 12 = 3n - 6

18 = n.

Answer: 6 & 10 (Just to backup the other person. ^)

Step-by-step explanation:

Right on Edge. 2022

Answer:

I'm pretty sure the answer is D.!

Answer:

12

Step-by-step explanation:

divide 15 by 1.25  because 1 1/4 in decimals is 1.25

Answer:

75%

Step-by-step explanation:

The answer is 75% because each point/dot, represents 25% of the data.  Below 345 meters are 3 points, therefore 3 * 25% = 75%.

Approximately 75% of the buildings are no taller than 345 meters for the box-and-whisker plot.

A box and whisker plot (also known as a box plot) depicts a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.

The box-and-whisker plot represents the heights (in meters) of the tallest buildings in Chicago.

We can see that all three of the data points that are less than or equal to 345 meters are included in the lower half of the box-and-whisker plot, which represents the range from the minimum to the median height.

This means 3 × 25% = 75%.

So, we can estimate that approximately 50% of the buildings are no taller than 345 meters.

To learn more about the box and whisker plot click here:

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Step-by-step explanation:

I think you are 100 percent Clear.Thanks

Answer:

B. Y=2x+3

Step-by-step explanation:

I am not sure if you want the top one to be answered. However, The answer to the bottom one is B.

Hope this Helps,

-Jay

Answer:

125 cu

Step-by-step explanation:

5 x 5 x 5 = 125

Answer:

The average wait time for customers arriving in this 3-hour period of time is 1.5 minutes.

Step-by-step explanation:

Since from 6am to 9am customers arrive in droves to Betty's Bakery for her annual, 1 day only, cake sale and during that 3 hour period 1.75 customers enters the Bakery every minute, and Betty and her staff can box cakes and check out customers only at the rate of 70 customers per hour, to determine what is the average waiting time in minutes for the customers who arrive in this 3-hour period of time, the following calculation must be performed:

1.75 x 60 = 105

105/70 = 1.5

Therefore, the average wait time for customers arriving in this 3-hour period of time is 1.5 minutes.

Answer:

2×3×3×5

Step-by-step explanation:

2×

[tex]{3}^{2} [/tex]

×5

Answer:

I believe it's 45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

270 = 1*225 + 45

225 = 5 * 45 + 0

HCF = 45

The above is Euclid's method for finding the HCF.

The other method is by finding the prime factors:

225 = 3 * 3 * 5 * 5

270 = 2 * 3 * 3 * 5

We pick out common factors:

So the HCF  3 * 3 * 5

= 45.

Given: Jamal is x years old.

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━

And, his mother is 28 years older than Jamal.

Then, age of Jamal's mother is = (x + 28)

⠀⠀⠀

⠀⠀⠀

[tex]:\implies\sf Jamal's\: uncle\:age = (Jamal's mother age)\\\\\\ :\implies\sf Jamal's\: uncle\:age = 2(x + 28)\\\\\\ :\implies{\underline{\boxed{\pmb{\frak{\purple{Jamal's\: uncle\:age = 2x + 56}}}}}}\:\bigstar\\\\[/tex]

[tex]\therefore\:{\underline{\sf{Hence,\:the\:expression\:that\: represents\: Jamal's\: uncle \:age\:is\: {\pmb{2x + 36}}.}}}[/tex]

Answer:D

Step-by-step explanation:

The correct statement that describes how the volume of the Hawk's refrigerator compares to the Lopez's refrigerator is: Option D.

D. The volume of the Hawk's refrigerator is 16 cubic inches less than the volume of the Lopez's refrigerator.

From the given information, we get,

The volume of the Hawk's refrigerator is given as 30 × 68 × 28.5 cubic inches.

The volume of the Lopez's refrigerator is given as (30 × 68 × 28.5) + 16 cubic inches.

We can see that the volume of the Lopez's refrigerator is obtained by adding 16 cubic inches to the volume of the Hawk's refrigerator.

Since 16 cubic inches are being added to the Hawk's refrigerator to get the Lopez's refrigerator, the volume of the Hawk's refrigerator must be 16 cubic inches less than the volume of the Lopez's refrigerator.

So, option D, "The volume of the Hawk's refrigerator is 16 cubic inches less than the volume of the Lopez's refrigerator," is the correct statement.

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Answer:

y=6x is the answer

Step-by-step explanation:

Answer: y=6x

Step-by-step explanation:

12= (6) 2

24=(6) 4

36=(6) 6

48= (6) 8

So 6 is the correct.

11:02

i don't know if im correct, sorry.

Step-by-step explanation:

True

As long as the denominator isn't zero and can be expressed as a fraction with two non zero intergers., the number would be rational

Answer:

Step-by-step explanation:

Answer:

1- line of symmetry

2- line symmetry

3- rotational symmetry

Step-by-step explanation:

im pretty sure because i just did this unit :]

Answer:

384 calories in 8 ounces of that ice cream

Step-by-step explanation:

240/5= 48

1 ounze  of ice cream has 48 calories

48x8=  384

Answer:

Integer is a whole number; a number that is not a fraction.

Step-by-step explanation:

Answer:

I think 96° but not fully sure sorry if wrong