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Answer:

The expected value of lateness [tex]\frac{7}{20}[/tex] hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

  Lateness             P (Lateness)

  On Time                     4/5

1 Hour Late                  1/10

2 Hours Late                1/20

3 Hours Late                1/20​

The formula of expected value of a random variable is:

[tex]E(X)=\sum x\cdot P(X=x)[/tex]

Compute the expected value of lateness as follows:

[tex]E(X)=\sum x\cdot P(X=x)[/tex]

         [tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]

Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.

An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.

Expected value of lateness is  [tex]\frac{7}{20}[/tex] hours.

Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.

So, below a table is formed.

         x       0             1            2           3

      P(x)      4/5         1/10      1/20       1/20

From formula of expected value,

        E(x) = ∑ x P(x)

[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]

So, expected value of lateness is 7/20 hours.

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Answer:

B

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

That is a translation of 3 units left and 6 units down.

Answer:

ol rjlrjlfjcohcoucoycl lj

Answer:

:3

Step-by-step explanation:

Answer:

1,3

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

base on my stuck knowledge

Answer:

You use decimal values. Like for the first one, multiply 100 by 0.01.

Step-by-step explanation:

The multiplication or division is 10^6/10^4

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Given;

From 100 to 10^6;

100 * 10^4  = 10^6

From 100 to 90;

100/10*9=90

From 90 to 100

90/9*10=100

From 10^6 to 100

10^6/10^4=100

Therefore, by multiplication or division will be 10^6/10^4

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Answer:

1750 Calories

Step-by-step explanation:

2000-1750=250

250x7=1750