At a certain intersection, the traffic light is red for 15 seconds, yellow for 5 seconds and green for 30 seconds. Find the probability that, of the next eight cars that arrive randomly at the light, exactly three will be stopped by a red light.

Answers

Answer 1

Answer: 0.254

Step-by-step explanation:

Given that:

Number of cars = number of trials (n) = 8

Number that will be stopped by a red light = Numbe rof successes (r) = 3

Probability of success :

Red light = 15 seconds ; yellow = 5 seconds ; green = 30 seconds

P(red) = p(success) = p = 15 / (15 + 5 + 30) = 15/50 = 3 /10 = 0.3

1 - p = 1 - 3/10 = 7/10 = 0.7

Using the binomial probability relation:

p(exactly 3):

P(8, 3) = 8C3 * p^3 * (1-p)^(8-3)

P(8, 3) = 8C3 * p^3 * (1-p)^5

P(8, 3) = 56 * 0.3^3 * 0.7^5

= 0.25412

= 0.254


Related Questions

Which of the following is a complex number?
3√7/5+√-9/5

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Answer:

3

Step-by-step explanation:

I NEED HELP ASAP! :D

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Answer:

7:Y axis, down 1 left 5 , 2

8: they are a congruent shape

Step-by-step explanation:

The height, h, in meters, of a projected object over time, t, in seconds, is modeled by a quadratic function. The height of the object is the same after 3 seconds and 7 seconds. Which statement must be true about this situation?


The height of the ball is symmetric about the line .

The height of the ball is the same after 2 second and 6 seconds.

The maximum height of the ball is 5 meters.

The ball reaches the ground after 10 seconds.

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Answer: the height of the ball is symmetric about the line t=5

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Jin has 9 markers he has 5 more markers then pencils

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Answer:

If you want to know how many pencils Jin has then

Step-by-step explanation:

9-5=4 so 4 is your answer

9-5 =4


i wasn’t sure what the question was

Sophia rode her bicycle 22 miles from her house to Lilly's house in 110 minutes. How many miles will she ride in 5 minutes?​

Answers

Sophia will ride 1 mile in 5 minutes

Each chair in the Cut and Style Shop can hold a maximum weight of 450 pounds. A large gentleman walked into the shop. He told his stylist that he weighed 75 pounds less than a quarter of a ton. By how many pounds is the gentleman over or under the maximum weight?

Answers

Answer: under by 25

Step-by-step explanation:

Because first you have to know how much a ton it's than find 1/4 of it. When you find in you subtract 75. After that you subtract your answer from 450

7. Pebble Trebble [5 Points]Mark has 5 pebbles and 3 fish tanks. If each fish tank must have at least one pebble, howmany different ways are there for Mark to put the pebbles in tanks if

Answers

Answer:

If each fish tank must have at least one pebble, the many different ways that Mark can put the pebbles in the tanks is:

60.

Step-by-step explanation:

Permutations nPr Calculator

P(n,r)=  n!

(n−r)!  = ?

n (objects) = 5

r (sample) =  3

Answer:

P(n,r)=P(5,3)

=  5! /(5−3)!

= 60

The result shows that Mark can put the 5 pebbles in the 3 fish tanks in 60 different ways, if each fish tank must have at least one pebble.  Using the permutation calculator, the number of ways is calculated to be 60 ways.

2. Which of these statements is true?
O a) For every point on the number line there is only one number that corresponds to that point,
Ob) Every point on the number line, though it represents a single unique number, can be expressed in a
number of equivalent forms.
Oc) There is no number on the number line whose absolute value is the same as Itself.
d) Both (a) and (b)

WILL GIVE BRAINLIEST!

Answers

Answer:

a For every point on the number line there is only one

What’s the mid point of AB

Answers

Answer:

-2 is the mid point of AB because the line intersect's between that point.

0, -2 is the mid point of AB

Find tan A for the triangle below a.0.8

Answers

picture?
explanation:
can we see the triangle?????

Anna is ordering t-shirts for a community run. The company Anna is ordering from charges $12 per shirt and a shipping fee of $8. Based on this information, which function can be used to represent the relationship between the total cost, t, and the number of shirts Anna orders, m?
A. t=12m−8
B. t = 8m + 12
C. t = 12m + 8
D. t=8m−12

Answers

Answer:

D. t = 12m + 8

Step-by-step explanation:

This is the correct answer. I took the test.

The linear function that models the situation is:

[tex]t = 12m + 8[/tex]

A linear function is modeled by:

[tex]t(m) = am + b[/tex]

In which:

a is the slope, which is the rate of change per unit m.b is the y-intercept, which is the "fixed" value.

In this problem:

Charge of $12 per shirt, hence [tex]a = 12[/tex].Shipping fee of $8, hence [tex]b = 8[/tex]

Thus, the relationship is modeled by:

[tex]t = 12m + 8[/tex]

A similar problem is given at https://brainly.com/question/18776520

The statements are represented by the rational number -6? $6 debt 6°C above 0°C $6 profit 6 feet below sed devel​

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Answer:

6 dollars dept

Step-by-step explanation:

Answer:

what the other person said

Step-by-step explanation:

pleaseeee help asap important

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hold on i think i know

Use the graph below to fill in the blank with the correct number:

f(−2) =

Answers

The -2 is the input so the x value and then you go up or down to find the y value. It is the -2,2 point

Answer:

f(-2)=4

Step-by-step explanation:

What is the solution to x + 23 =90?

Answers

Answer:

67+23=90

Step-by-step explanation:

x = 67

--

When doing equations, you usually have to get x by itself, so in this equation you would take 23, covert it to a negative and subtract it from 90, giving you 67.

What is integers on numbers lines .

Answers

This second number line is called an integer number line, since integers are the set of numbers including all whole numbers and their negative opposites. Two opposite numbers are the same distance from zero on the number line, but on opposite sides. For example, 3 and -3 are opposites. 0 does not have an opposite.

A square has an area of 225 feet. find the length of each side

Answers

Answer:

15 feet

Step-by-step explanation:

since area is base x height and a square has all equal sides, take the square root of the area to get the length of a side

the square root if 225 is 15

Answer:

15 feet

Step-by-step explanation:

Find the degree measure of a, b, c, d, e, f, g, and h. Explain how you
found each answer.
142°
8 h
a
b
1060
e
130°

Answers

Answer:

were fired up

Step-by-step explanation:

Pls help I will give Brainlyest John's sister went shopping with him. She expected to
spend $100 on clothes, but spent only $10. John wanted
to help her calculate the percent error, but he thinks he
may have made a mistake. Are his calculations below
correct? Why or why not?
Ratio : $100 - $101. 10
$90
9
11%

Answers

Answer:

John’s calculations are not correct. He compared the exact value to the absolute error. The absolute error should be in the numerator and the exact value in the denominator.

Step-by-step Explanation:

Yes, he applied formula incorrectly.

Given : Expected value =  $100

Actual value = $10

Then,

So, Yes, the calculation did by him was incorrect .

Hope this helped! :)

Answer:

John’s calculations are not correct. He compared the exact value to the absolute error. The absolute error should be in the numerator and the exact value in the denominator.

Step-by-step explanation:

That's the sample response.

A scam drawing of a rectangle park is 5 inches wide and 7 inches

Answers

Answer:

where is the question

Step-by-step explanation:

If you are asking for area, the answer is 35inches squared.

Area is length times width, so multiply 5 and 7,

Which gives you 35 inches squared

The results after simplifying a linear equation are shown.

Which result shows exactly one solution?

A: x=x

B: x=2

C: 1=1

D: 0=1

Answers

Answer:

B. x= 2 is the correct answer

How can you tell if an equation will have a certain answer?

Answers

Answer:

Check whether the given value is a solution to the equation

Step-by-step explanation:

If the numbers you get from evaluating the two expressions are the same, then the given value is a solution of the equation (makes the equation true). If the numbers don't match, the given value is not a solution of the equation (makes the equation false).

which is greater 1.2+0.07 or 1.019

Answers

Answer:

1.2+0.07 is greater

Step-by-step explanation:

1.27>1.019

Answer:

1.2+0.07

Step-by-step explanation:

1.2 + 0.07 = 1.27

1.27 > 1.019

Find the probability that you will roll an even number exactly 5 times when you:
roll a six-sided number cube 10 times.
P=
roll a six-sided number cube 20 times.
PE
DONE

Answers

You have to show a picture of the worksheet

The second of 2 numbers is 4 times the first. Their sum is 50. Find the numbers

Answers

Answer:

12.5 i think

Step-by-step explanation:


I need help please asp

Answers

A c and d is the answer

Using the information below, answer the next 3 questions: The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen. For the group of 16, find the probability that the average percent of fat calories consumed is more than thirty-five (Round to 3 decimal places)

Answers

Answer: 0.655

Step-by-step explanation:

Let X be a random variable that represents percent of fat calories that a person in America consumes each day.

As per given , X is normally distributed with a mean [tex]\mu=36[/tex] and a standard deviation [tex]\sigma=10[/tex].

Sample size : n= 16

The probability that the average percent of fat calories consumed is more than 35:

[tex]P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}][/tex]

Hence, Required probability =0.655

What is 2b+578-12? Please be quick I need help

Answers

Answer:

2b+566 (Simplified)

Step-by-step explanation:

2b+578-12

578-12=566

2b+566

Isaiah rents a bowling alley for his birthday party. It cost a flat fee of $35 plus $4.50 an hour. Isaiah will be there for 3 1⁄4 hours. What is the total cost?

Answers

$49.63 that’s how much it would cost
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