compare these two fractions ​

Answer:

a)

[tex]P(X \leq 1) = 0.01[/tex]

[tex]P(X \leq 2) = 0.03[/tex]

[tex]P(X \leq 3) = 0.15[/tex]

[tex]P(X \leq 4) = 0.40[/tex]

[tex]P(X \leq 5) = 0.82[/tex]

[tex]P(X \leq 6) = 0.98[/tex]

[tex]P(X \leq 7) = 1[/tex]

b)

4.61

c) 1.1579

d) 5 is the third quartile of this distribution.

Step-by-step explanation:

We are given the following discrete distribution:

[tex]P(X = 1) = 0.01[/tex]

[tex]P(X = 2) = 0.02[/tex]

[tex]P(X = 3) = 0.12[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.42[/tex]

[tex]P(X = 6) = 0.16[/tex]

[tex]P(X = 7) = 0.02[/tex]

a. Find the cdf of X.

Probability of X being less of equal to x. Than

[tex]P(X \leq 1) = P(X = 1) = 0.01[/tex]

[tex]P(X \leq 2) = P(X = 1) + P(X = 2) = 0.01 + 0.02 = 0.03[/tex]

[tex]P(X \leq 3) = P(X \leq 2) + P(X = 3) = 0.03 + 0.12 = 0.15[/tex]

[tex]P(X \leq 4) = P(X \leq 3) + P(X = 4) = 0.15 + 0.25 = 0.40[/tex]

[tex]P(X \leq 5) = P(X \leq 4) + P(X = 5) = 0.4 + 0.42 = 0.82[/tex]

[tex]P(X \leq 6) = P(X \leq 5) + P(X = 6) = 0.82 + 0.16 = 0.98[/tex]

[tex]P(X \leq 7) = P(X \leq 6) + P(X = 7) = 0.98 + 0.02 = 1[/tex]

b. Find the expected number of courses a student is taking this semester.

Multiplication of every outcome by its probability.

[tex]E = 0.01*1 + 0.02*2 + 0.12*3 + 0.25*4 + 0.42*5 + 0.16*6 + 0.02*7 = 4.61[/tex]

c. Find the variance of X.

Multiplication of the squared subtraction of each value and the mean, multiplied by its probability. So

[tex]V = 0.01*(1-4.61)^2 + 0.02*(2-4.61)^2 + 0.12*(3-4.61)^2 + 0.25*(4-4.61)^2 + 0.42*(5-4.61)^2 + 0.16*(6-4.61)^2 + 0.02*(7-4.61)^2 = 1.1579[/tex]

d. Find the third quartile of this distribution.

100*(3/4) = 75th percentile

The cdf passes 0.75 when X = 5, so 5 is the third quartile of this distribution.

Answer:

Roberto makes 7 shots

Step-by-step explanation:

35% is 0.35 as a decimal. Multiply the decimal by the total amount of attempted shots.

20(0.35)=7

Roberto makes 7 shots.

Answer:

dam mario u trying get a speeding ticket

bu the answer is 10 if im not mistaken

Step-by-step explanation:

The profit of plumbing company from eds earn last year, 48200  

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

The profits from eds plumbing company increased by 14,460, or 30% this year

The profit company earned last year = ?​

Suppose, last years profit = X

New profit = X + 0.30X  = X + 14460

   0.30X  =   14460

           X  =  48200

Hence, the last years profit is 48200  

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ5

I cannot really graph it but I will try my best to explain.

When you have a coordinate plane draw from right to left, up to down.

Now starting from righthand top corner, draw a smooth curve just like how you will draw a quadratic equation, through the x axis then curve back making the graph touch the axis at 2 points. That's the 2 real roots

Now make another curve down but this time not touching the x axis and then curving back up to the top left corner, this meant the 2 complex roots.

This is not the only way to do it, as long as one complete curve is not touching the x axis and another complete curve, weather as a whole or combined is touching the x axis at 2 points, it has 2 real and complex roots.

Answer:

No

Step-by-step explanation:

Answer:1/4 + 1/4 = 1/2 = 0.5

Answer:

30

Step-by-step explanation:

Answer:

$5.95

Step-by-step explanation:

7/20 = .35 cents per ounce

.35*17=5.95

Step-by-step explanation:

the answer is

[tex]y = {x}^{3} [/tex]

Given:

The scale is 1:250.

To find:

The measurements in metres if 40 mm is drown on the plan​.

Solution:

The scale is 1:250. It means,

1 mm of the drawing = 250 mm of original length

40 mm of the drawing = 40×250 mm of original length

40 mm of the drawing = 10000 mm of original length

We know that,

1000 mm = 1 m

1 mm = 0.001 m

10000 mm = 10000×0.001 m

10000 mm = 10 m

Therefore, the measurement is 10 metres if 40 mm is drown on the plan​.

Answer and Step-by-step explanation:

The expression is equal to 90.

This is because the lines that cut the right angle are cutting it in half, so those base angles are 45, leaving the center angle to be 90 (90 + 45 + 45 = 180).

90 = 19x + 4.5

85.5 = 19x

x = 4.5

The value of x that makes the parallelogram a square is 4.5.

I hope this helps!

#teamtrees #PAW (Plant And Water)

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Answer:

  (c)  90 m

Step-by-step explanation:

The perimeter is the sum of the side lengths. Each of the lower-right and lower-left indents can be reversed to make the figure a 20 m by 25 m rectangle without changing the perimeter. Then the perimeter is ...

  P = 2(L +W)

  P = 2(25 m + 20 m) = 2(45 m)

  P = 90 m

_____

If you start at the upper left corner and work clockwise, the perimeter is the sum of segment lengths ...

  P = 20 m + 5 m + 8 m + 20 m + 4 m + 20 m + 8 m + 5 m

  P = 90 m

__

The units must be given as part of the measurement of the perimeter. That is why choice B (90) is inappropriate.

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} *\frac{2}{3}\\=\frac{3*2}{5*3}[/tex]

The 3 in the numerator and the 3 in the denominator cancel out

[tex]= \frac{2}{5}[/tex]

I hope this helps!

Answer: D

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

6 / 2 = 3 hours

Answer:

A

Step-by-step explanation:

(f-g) = f(x) - g(x)

([tex]4^{x-1}[/tex] + 6) - (2x - 5)

[tex]4^{x-1}[/tex] + 6 + 2x + 5

[tex]4^{x-1}[/tex] + 2x + 11

Answer:

x = 22

Step-by-step explanation:

The x Is a number that is greater than the 15.

so you add the 7 and the 15 which gives you 22

22-7 equals 15

Hope this helps

Answer:

A, B, & C

Step-by-step explanation:

An equilateral triangle is one that has (A) all equivalent angle measures & (B) all the sides are the same length.

since a triangle is equal to 180º, & since there are 3 angles in a triangle: (C) each angle measures 60º.

Hope this helps! Have a great day!

Answer:

2/4 3/6 4/8 5/10 6/12 7/14 8/16 9/18 10/20

Step-by-step explanation:

Step-by-step explanation:

in decimal format I got 1.183

the three is repeating

Answer:

$1755

Step-by-step explanation:

Answer:

A could be a possible answer actually

Answer:

isn't it just 3

Step-by-step explanation:

isn't it just 3 bc there r only 3 students out of the entire class that doesnt play both instrument and sports

Answer:

12.5% chance

Step-by-step explanation:

There 24 students in total

When you divide the fraction out, you get 0.125. To turn that into a percentage, you simply multiply by 100. 0.125*100=12.5% you can check this by taking 12.5% of 24, which will give you an answer of 3.

Answer:

13/5 of 11 feet should be 343 inches aka 28.58 feet

28.58 feet minus 3.3 feet should be 25.28 feet

I believe your answer would be 25.28 feet or 303.36 inches

Step-by-step explanation:

Answer:

I have made it in above picture

hope it helps

Answer:

3

Step-by-step explanation:

edge

Answer:

C. 3

Explanation:

edge 2020

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Answer:

  w = -2 or 8 1/3

Step-by-step explanation:

Setting the two expressions equal makes a quadratic equation:

  -5 +0.6w = w(2.5 -0.3w)

  0.3w^2 -1.9w -5 = 0 . . . . . . subtract the right-side expression

  3w^2 -19s -50 = 0 . . . . . . . multiply by 10 to give integer coefficients

  (3w -25)(w +2) = 0 . . . . . . . factor

We can use the zero product rule to find the solutions. The product will be zero only if a factor is zero.

  3w -25 = 0   ⇒   w = 25/3 = 8 1/3

  w +2 = 0   ⇒   w = -2

The values of w that make the two expressions equivalent are -2 and 8 1/3.

Answer:

A

Step-by-step explanation:

2400/3= 800 800x8= 6400