# The state department of transportation is coordinating road crews to fix potholes after a particularly snowy winter. Initial estimates gave an average of 7.8 potholes per mile of highway. Find the probability that there are 11 or more potholes in a randomly selected one-mile stretch of highway. Use Excel to find the probability.

P(X≥11) = 0.1648

Step-by-step explanation:

Given

Mean, μ = 7.3

Potholes, n = 11

The interpretation of the question is to calculate P(X ≥ 11)

It is known that

P(X) = P(1) + P(2) +.......+P(infinite)

We can say that

P(X) = P(X≤10) + P(X>10)

Make P(X>10) the subject of formula

P(X>10) = P(X) - P(X≤10)

P(X>10) is equivalent to P(X≥11) and P(X) = 1.

By substituton, we have

P(X≥11) = 1 - P(X≤10)

So, we'll solve P(X≤10) using the following steps using n as 10.

To solve the above question using Microsoft Office Excel, follow the highlighted steps below

1. First goto FORMULAS tan

2. Select INSERT FUNCTION.

3. Select the POISSON.DIST function.

4. Enter the values for the number of events and the mean of occurrences per interval. In this case, enter 10 and 7.8, in that order and 1 for Cumulative since this is a cumulative probability.

5. Press OK.

Excel would display the probability.

In this case, it is 0.83523

Remember that

P(X≥11) = 1 - P(X≤10)

By substituton

P(X≥11) = 1 - 0.83523

P(X≥11) = 0.16477

Approximately,

P(X≥11) = 0.1648

(See attachment)

## Related Questions

23/24

Step-by-step explanation:

1/8 + 5/6

The common denominator is 24

1/8 *3/3 = 3/24

5/6*4/4 = 20/24

3/24 + 20/24

23/24

The sum of and  given  as an expression using the least common multiple  in the simplest form is   .

When both the numerator and denominator does not have any common factor in between them is called as  simplest form. Simplest form is also called as lowest form.

A statement containing variables, numbers or connected by an operator is called expression.

According to the given expression

The least common multiple (LCM) for 8 and 6 is 24. We can convert both fractions to have a denominator of 24:

Now that both fractions have a common denominator of 24, we can add them,

Therefore, the sum of and is

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If 150 mg of a drug is ordered IVP stat over 2 minutes, and the concentration of the drug is 75 mg/mL, find the total number of milliliters, and indicate how many milliliters you will administer per minute.A.

1 mL total, 1 mL/min.

B.

2mL total, 1 mL/min.

C.

4 mL total, 2 mL/min.

D.

10 mL total, 5 mL/minute

(B) 2mL total, 1 mL/min.

Step-by-step explanation:

Given:

Amount of drug ordered = 150 g

Time = 2 minutes

Concentration of the drug = 75 mg/mL

now,

Concentration = Amount of drug / volume  .........(1)

thus,

Volume = Amount of drug / Concentration

or

Volume = 150 g / (75 g/mL)

or

Volume = 2 mL

also,

milliliters to administer per minute = Volume / time

or

milliliters to administer per minute = 2 mL / 2 min = 1 mL/min

Hence, the correct answer is option (B)

Find the equation for the line that passes through the point (−2,5), and that is perpendicular to the line with the equation x=−4.

The equation of the line perpendicular to x = -4 that passes through the point (-2,5) is y = 5  .

In the question ,

it is given that

the required line is perpendicular to x = -4

the slope of x = -4

x + 4 = 0

0.y = x + 4

slope = 1/0

so the slope of the perpendicular line 0   .

the equation of the perpendicular line passing through (-2,5) and slope as 0  is

(y - 5) 0*(x + 2)

y -5 = 0

y = 5

Therefore , The equation of the line perpendicular to x = -4 that passes through the point (-2,5) is y =5  .

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X/3+11=16
What is the value of x

x = 15

--

Move 11 to the other side, with "16" after the equal sign.

We need to subtract: 16-11 = 5

x/3 = 5

x = 5 x 3

x = 15

--

To double check...

15/3 + 11 = 16

5 + 11 = 16

--

PS: In algebra we actually use "*" but for the sake of it I will use "x"

Have a nice day!

15

Step-by-step explanation:

First you take all of the non-variables on to the other side of the equal sign. It then turns out to be SUPER easy. x/3 = 16 - 11

x/3 = 5

x = 5*3

x = 15

In ABC, a = 16, angle A= 30, angle B = 45, find b?

b=22.62
16/sin30=b/sin45
16sin45/sin30 =22.62

Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?
D.y=+or-sqrt28+4x so the answer is D.

"The given expression is
2(x - 2)² = 8(7 + y)
Rewrite the expression as follows:
7 + y = (2/8)*(x-2)² = (1/4)*(x-2)²
y = (1/4)(x-2)² - 7

To find the inverse, switch x and y, and solve for y.
x = (1/4)(y-2)² - 7
Multiply through by 4.
4x = (y-2)² - 28
(y-2)² = 4x + 28
y - 2 = √(4x + 28)
y = 2 +/- √(4x + 28)
This expression is the inverse of the given expression.