As angle x° and angle 76° are alternate interior angles their measure will be equal.
Which means :-
Therefore , the value of x = 76° .
Answer:
<em>P= 0.0606 = 60.6%</em>
Step-by-step explanation:
<u>Binomial Distribution
</u>
The required probability will be calculated by using the Binomial Distribution with n=385 independent events each with a probability of success equal to p=0.0362 with k=8 or fewer successes.
The PMF (Probability Mass Function) for the Binomial Distribution is
Where
We need to compute a range of probabilities from k=8 to k=0. We'll show how to compute for k=8
When the probability is cumulative and a high number of calculations need to be performed, we use automated tools (like Excel, digital calculator, etc) to compute the sum. We used Excel's BINOMDIST(8, 385, 0.0362, 1) function to get the total probability to get
Answer:
62
Step-by-step explanation:
By the outside angle theorem, r is equal to the difference of the two arcs over 2.
We know the first arc is 242. We can find the second arc by subtracting that from 360.
So we have the seconds are is 118.
242-118 = 124
124/2 = 62
Answer:
Step-by-step explanation:
<u>Find the slope:</u>
- m = (-1 - 3)/(0 - (-3)) = -4/3
<u>The y-intercept is given:</u>
<u>The line is:</u>
Inverse property (addition)