9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Either or both of the right triangles can be used to find x. Or, triangle ABC could be used. All numbers are assumed to be degrees.
<u>Using ∆ABD</u>
55 +90 +2x+3 = 180
2x = 32 . . . . . . subtract 148
x = 16
<u>Using ∆BCD</u>
50 +90 +2x+8 = 180
2x = 32 . . . . . . subtract 148
x = 16
<u>Using ∆ABC</u>
55 +(2x +3) +50 +(2x +8) = 180
4x = 64 . . . . . . . subtract 116
x = 16
Answer:
Line MN was translated down
✔ 4
units and right
✔ 8
units to create line M'N'.
The slope of Line M N
✔ −2
.
The slope of Line M prime N prime
✔ −2
.
Step-by-step explanation:
On edge 2021 Hope this helps :)
Using the binomial distribution, it is found that there is a:
a) 0.9298 = 92.98% probability that at least 8 of them passed.
b) 0.0001 = 0.01% probability that fewer than 5 passed.
For each student, there are only two possible outcomes, either they passed, or they did not pass. The probability of a student passing is independent of any other student, hence, the binomial distribution is used to solve this question.
<h3>What is the binomial probability distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 90% of the students passed, hence
.
- The professor randomly selected 10 exams, hence
.
Item a:
The probability is:

In which:




Then:

0.9298 = 92.98% probability that at least 8 of them passed.
Item b:
The probability is:

Using the binomial formula, as in item a, to find each probability, then adding them, it is found that:

Hence:
0.0001 = 0.01% probability that fewer than 5 passed.
You can learn more about the the binomial distribution at brainly.com/question/24863377
Answer:76.8
Step-by-step explanation:divde by 7 hope this helps god bless
Answer:
4%
Step-by-step explanation: