The following system of inequalities shows the relationship between two numbers, where the value of x is less than the value of y,
and both numbers are integers.


Which solution is valid within the context of the situation?

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.

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:

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Answer:

$1.80

Step-by-step explanation:

4x = 7.20

x = 1.80

Answer:

9/5 miles in 1 hour

Step-by-step explanation:

As we are finding here the miles distance in 1 hour so we have to use here the formula which is

Rate = Distance / Time

Rate = 3/5 divided by 1/3

SO using third proportion rule we have to change the Numerator of second fraction with denominator and denominator with numerator  and division sign will be change into Multiplication so this one will be

3/5 x 3/1

9/5 will be the answer

Answer:

the answer is 20

Step-by-step explanation:

Answer:

A could be a possible answer actually

Answer:

I have made it in above picture

hope it helps

Answer: babes it blurry i cant see .

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2400/3= 800 800x8= 6400

9514 1404 393

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:

5, 25, 28, 35, 56, 75 80 are not the factors of 42

Answer:

[tex]105km[/tex]

Step-by-step explanation:

It is given that; ([tex]2.5cm : 15km[/tex]) is the proportion by which distances are scaled down on a map. One can use this to make a proportion and solve to find how many ([tex]km[/tex]) would represent ([tex]17.5cm[/tex]). ([tex]x[/tex]) will represent the unknown or the number of ([tex]km[/tex]) that one has to solve for.

[tex]2.5 : 15 = 17.5 : x[/tex]

Cross products,

[tex]262.5 = 2.5x[/tex]

Inverse operations,

[tex]262.5 = 2.5x\\/2.5\\\\105 = x[/tex]

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:

[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:

30

Step-by-step explanation:

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:

C

Step-by-step explanation:

Answer:

I'm going to say B

Step-by-step explanation:

I hope this helps! If right may I please have brainliest? :)

Answer:

3

Step-by-step explanation:

edge

Answer:

C. 3

Explanation:

edge 2020

Answer:

the greater number is 7 1/3.

Answer:

The sample median number of occupants is 1.

Step-by-step explanation:

Median:

The measure that separates the lower half of the distribution from the upper half.

In this question:

Total of 100 cars.

64 have 1 occupant.

19 have 2 occupants

12 have 3 occupants

3 have 4 occupants

2 have 5 occupants.

Median:

In the cumulative distribution

100/2 = 50

While we count until 64, it has 1 occupant, so 50 is one occupant, which means that the sample median is 1.

The sample median number of occupants is 1.

Answer: B

Step-by-step explanation:

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one. The ratio of any two corresponding lengths in two similar. geometric figures.  Corresponding Angles: Angles in matching locations of two shapes

Step-by-step explanation:

u-42+u-43+u-44=180

3u -129 = 180

3u = 309

u = 103

Answer:

1/18

Step-by-step explanation:

2/3-1/2=1/6

1/3 x 1/6=1/18

Answer:

f(-4) = 6

f(0) = -6

f(1) = -4

Step-by-step explanation:

Answer:

Each one has two possibilites, so the total is 2*2*2*2 = 16

Step-by-step explanation:

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TTHT

TTHH

THTT

THTH

THHT

THHH

HTTT

HTTH

HTHT

HTHH

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HHTH

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If you eliminate the duplicates, ie, the coins are identical, you get 4

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TTHH

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Answer: D

Step-by-step explanation:

Answer:

dam mario u trying get a speeding ticket

bu the answer is 10 if im not mistaken

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

All triangles have angle measures that must add up to 180