Please help! I will give brainliest to the correct answer!
2 answers:
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You can identify the lines by the sign of the slope and the value of the y-intercept. Each point of interest is at the intersection of a line with positive slope and a line with negative slope. So, you can identify the pair of lines by their two different y-intercepts.
Clockwise from lower left (3rd quadrant), the pairs of y-intercepts associated with the intersection of interest are ...
- 2, -1 . . . . 2 is associated with positive slope
- 2, 2
- 2, -1 . . . . 2 is associated with negative slope
- 2, -3
- -1, -3
If the answer choices are designated A–E, left to right, the corresponding list is (again, clockwise from lower left) ...
- D
- C
- B
- A
- E
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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 centimeters.
follows a normal distribution with
- mean
and
- standard deviation
.
In other words,
,
and the probability in question is .
Z-score table approach:
Find the z-score of this measurement:
. 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 will be less than or equal to the z-score in question. (In case the question is asking for the probability that
is greater than the z-score, subtract the value from table from 1.)
.
"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
. For the upper bound, enter
- Enter the mean and standard deviation (or variance if required).
- Evaluate.
For example, on a Texas Instruments TI-84, evaluating gives
.
As a result,
.
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
: 150.
- Probability of success
: 0.804317.
Let be the number of green beans out of this 150 that are shorter than 13 centimeters.
.
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,
The expected number of green beans out of this 150 that are shorter than 13 centimeters will thus be approximately 121.