How do I do the inverse operation on 151+39=190

Suppose that only 25% of all drivers come to a complete stop at an intersection having flashing red lights in all directions whe

alukav5142 [94]

Answer:

The probability that at most 6 will come to a complete stop is 0.7857.

Step-by-step explanation:

Let X = number of drivers come to a complete stop at an intersection having flashing red lights in all directions when no other cars are visible.

The probability of the event X is, P (X) = p = 0.25.

The sample of drivers randomly selected is of size, n = 20.

The random variable X follows a binomial distribution with parameters n = 6 and p = 0.25.

The probability function of Binomial distribution is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,...$

Compute the probability that at most 6 will come to a complete stop as follows:

P (X ≤ 6) = P (X = 0) + P (X = 1) + P (X = 2) + P (X = 3)

+ P (X = 4) + P (X = 5) + P (X = 6)

$={20\choose 0}(0.25)^{0}(1-0.25)^{20-0}+{20\choose 1}(0.25)^{1}(1-0.25)^{20-1}+{20\choose 2}(0.25)^{2}(1-0.25)^{20-2}\\...+{20\choose 0}(0.25)^{6}(1-0.25)^{20-6}\\=0.0032+0.0211+0.0669+0.1339+0.1897+0.2023+0.1686\\=0.7857$

Thus, the probability that at most 6 will come to a complete stop is 0.7857.

4 0

3 years ago

Mark and his three friends ate out at Applebee's. (Hint* 4 total people) Their bill totaled $52.35. If they left the server a 20

SpyIntel [72]

Answer:

Unitary cost= $15.705

Step-by-step explanation:

Giving the following information:

Their bill totaled $52.35. They left the server a 20% tip.

First, we need to calculate the total cost of the meal:

Total cost= 52.35*1.2= $62.82

Now, we can split it into 4 equal parts:

Unitary cost= 62.82 / 4

Unitary cost= $15.705

7 0

3 years ago

Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line de

vodomira [7]

Answer:

x = $25.8^{o}$ and y = $51.4^{o}$

Step-by-step explanation:

Known that he sum of angles on a straight line is $180^{o}$ . From the diagram;

2y + x + y = $180^{o}$

x + 3y = $180^{o}$ ................ 1

Also,

2x + x + 2y = $180^{o}$

3x + 2y = $180^{o}$ .............. 2

Using the elimination method, multiply equation 1 by 3 and equation 2 by 1

3x + 9y = 540 ............ 3

3x + 2y = $180^{o}$ ............. 4

7y = 360

y = $\frac{360}{7}$

y = $51.4^{o}$

substitute the value of y in equation 1,

x + 3y = $180^{o}$

x + 3(51.4) = $180^{o}$

x + 154.2 = $180^{o}$

x = $180^{o}$ - 154.2

x = $25.8^{o}$

Thus, x = $25.8^{o}$ and y = $51.4^{o}$

6 0

3 years ago

A banner has a length of 10 feet and an area of 7 square feet. What is the width of the banner?

const2013 [10]

Answer:

the width is 0.7 feet

Step-by-step explanation:

Well we know that area = length * width. We know both the area and length, but not the width. Let's substitute the area and length in this equation, and substitute x for the width.

7 = 10 * x, or 7 = 10x

Now, solve for the width, or x, by dividing both sides by 10.

7(/10) = 10x(/10)

7/10 = x

Simplify 7/10 = 0.7

So the width of the banner is is 0.7 ft!

6 0

4 years ago

What is the name of each of the two blue points in the hyperbola below?

Ber [7]

The correct answer is option A

4 0

2 years ago