Answer:
B. 30 ft
Step-by-step explanation:
The ladder is 32 ft long
The angle of elevation of the ladder is 70°
The height (h) of the top of the ladder to the ground is what we are to find.
= sin 70°
h = 32 × sin 70° = 30.07016387 or 30 ft (rounded off to nearest feet)
Answer:
is an odd function.
Step-by-step explanation:
We are asked to prove whether is even or odd.
We know that a function is even if
and a function
is odd, when
.
We also know that an even function is symmetric with respect to y-axis and an odd function is symmetric about the origin.
Upon looking at our attachment, we can see that is symmetric with respect to origin, therefore,
is an odd function.
Answer:
0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they pass, or they do not. The probability of an student passing is independent of other students, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Probability that all students pass in a class:
Class of 8 students, which means that
Each student has a 95% chance of passing their class independent of the other students, which means that
This probability is P(X = 8). So
Find the probability that, in exactly one of the two classes, all 8 students pass.
Two classes means that
0.6634 probability all students pass in a class, which means that .
This probability is P(X = 1). So
0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.