<span>tan θ is defined as the opposite/adjacent side to the angle in a triangle
in this case you have a triangle which forms from (0,0) to (5,0) and (5,15), with </span><span>θ at (0,0)
-> your x coordinate is the adjacent side, and y the opposite
</span>
<span>tan θ=opposite/adjacent=y/x=15/5=3</span>
Step-by-step explanation:
idk the answer but find the area of a circle with the radius of 45 m and then find the area of the rectangle then add them together.
Answer:
1. C = $100 = .25(m)
2. C = $150
3. 800 = m
Step-by-step explanation:
1. C = $100 (flat fee rate) + .25m
2. c = $100 + .25(200 miles)
↓
c = $100 + 50
↓
c = 150
3. 300 = 100 + .25(m)
-100 -100 (subtract on both sides)
--------------------------------
200 = .25(m)
------------------- (divide by .25 to get m by itself)
.25
Therefore being 800 = m
Answer:
f(-5) = 15
Step-by-step explanation:
f(x)=5x+40
plug in x as -5
f(-5) = 5(-5) + 40
multiply 5 by -5
-25+40
add -25 to 40
15
Answer:
P (X ≤ 4)
Step-by-step explanation:
The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes. It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.
The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.
To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.
The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)
Therefore, the probability of x<4 successes is P (X ≤ 4)
