Find the value of x * A (x + 30) 2x N M

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Anettt [7]

Answer:

Choice C: approximately 121 green beans will be 13 centimeters or shorter.

Step-by-step explanation:

What's the probability that a green bean from this sale is shorter than 13 centimeters?

Let the length of a green bean be $X$ centimeters.

$X$ follows a normal distribution with

mean $\mu = 11.2$ and
standard deviation $\sigma = 2.1$ .

In other words,

$X\sim \text{N}(11.2, 2.1^{2})$ ,

and the probability in question is $X \le 13$ .

Z-score table approach:

Find the z-score of this measurement:

$\displaystyle z= \frac{x-\mu}{\sigma} = \frac{13-11.2}{2.1} = 0.857143$ . Closest to 0.86.

Look up the z-score in a table. Keep in mind that entries on a typical z-score table gives the probability of the left tail, which is the chance that $Z$ will be less than or equal to the z-score in question. (In case the question is asking for the probability that $Z$ is greater than the z-score, subtract the value from table from 1.)

$P(X\le 13) = P(Z \le 0.857143) \approx 0.8051$ .

"Technology" Approach

Depending on the manufacturer, the steps generally include:

Locate the cumulative probability function (cdf) for normal distributions.
Enter the lower and upper bound. The lower bound shall be a very negative number such as $-10^{9}$ . For the upper bound, enter $13$
Enter the mean and standard deviation (or variance if required).
Evaluate.

For example, on a Texas Instruments TI-84, evaluating $\text{normalcdf})(-1\text{E}99,\;13,\;11.2,\;2.1 )$ gives $0.804317$ .

As a result,

$P(X\le 13) = 0.804317$ .

Number of green beans that are shorter than 13 centimeters:

Assume that the length of green beans for sale are independent of each other. The probability that each green bean is shorter than 13 centimeters is constant. As a result, the number of green beans out of 150 that are shorter than 13 centimeters follow a binomial distribution.

Number of trials $n$ : 150.
Probability of success $p$ : 0.804317.

Let $Y$ be the number of green beans out of this 150 that are shorter than 13 centimeters. $Y\sim\text{B}(150,0.804317)$ .

The expected value of a binomial random variable is the product of the number of trials and the probability of success on each trial. In other words,

$E(Y) = n\cdot p = 150 \times 0.804317 = 120.648\approx 121$

The expected number of green beans out of this 150 that are shorter than 13 centimeters will thus be approximately 121.

7 0

3 years ago

2. Explain how the number of edges for the rectangular

Tems11 [23]

There’s more corners and sides to a rectangular prism than a cube

6 0

2 years ago

Solve x 2 + 9x + 8 = 0 by completing the square. What are the solutions?

Sindrei [870]

So firstly, what two terms have a product of 8x^2 and a sum of 9x? That would be x and 8x. Replace 9x with x + 8x: $x^2+x+8x+8=0$

Next, factor x^2 + x and 8x + 8 separately. Make sure that they have the same quantity on the inside: $x(x+1)+8(x+1)=0$

Now you can rewrite the equation as $(x+8)(x+1)=0$

Now using zero product property, solve for x:

$x+8=0\\ x=-8\\ \\ x+1=0\\ x=-1$

In short, the solutions are {-1,-8}, or C.

4 0

3 years ago

The population of North Carolina in 2010 was 9,535,483 people. The population of South Carolina in 2010 was 4,625,364 people.

Sati [7]

a) North Carolina has 4,910,119 more people than South Carolina

b) the population of North Carolina is 2.06 times larger than that of South Carolina

Step-by-step explanation:

a)

Here the question is asking "how much larger is the population of North Carolina than South Carolina". This means that we have to compare the absolute value of the population of North Carolina with the population of South Caroline.

We have:

NC = 9,535,483 is the population of North Carolina

SC = 4,625,364 is the population of South Carolina

In order two compare the two, we have to calculated the difference between NC and SC. Plugging into a calculator, we get:

$NC-SC=9,535,483-4,625,34=4,910,119$

So, North Carolina has 4,910,119 more people than South Carolina.

b)

In this question, we are asked "how many times larger is North Carolina’s population than South Carolina’s population". This is equivalent to ask what is the ratio between the population of North Carolina to that of South Carolina.

As we said before, we have:

NC = 9,535,483 is the population of North Carolina

SC = 4,625,364 is the population of South Carolina

And by calculating the ratio, we find:

$\frac{NC}{SC}=\frac{9,535,483}{4,625,364}=2.06$

So, the population of North Carolina is 2.06 times larger than that of South Carolina.

#LearnwithBrainly

5 0

2 years ago

Read 2 more answers

Find the measurements of DBC

Fiesta28 [93]

Answer:

72 degrees

Step-by-step explanation:

To determine the value of DBC, we first have to determine the value of q

Angle on a straight line = 180 degrees

7q - 46 + 3q + 6 = 180

10q - 40 = 180

collect like terms

10q = 180 + 40

10q = 220

q = 22

Substitute for q in angle dbc

3(22) + 6 = 72 degrees

8 0

3 years ago