Answer:
a. $9,425.10
b. $3,707.60
Step-by-step explanation:
Equation of this line is K = -2J + 28
<u>Step-by-step explanation:</u>
Step 1:
The equation can be written in slope intercept form which is y = mx + b
Step 2:
Calculate slope of the line, m = (y2 - y1)/(x2 - x1)
⇒ m = (24 - 20)/(2 - 4) = 4/-2) = -2
Step 3:
Find y-intercept of the line
⇒ b = 28
Step 4:
Substitute values in the equation
⇒ K = -2J + 28
Answer:
4. x= 18
Step-by-step explanation:
We solve the problem like this:
Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.
3/9 = 6/x
We then use cross-multiplication to solve for x.
Answer:
B
Step-by-step explanation:
∠ABC= 180° -142° (adj. ∠s on a str. line)
∠ABC= 38°
∠BAC= 180° -133° (adj. ∠s on a str. line)
∠BAC= 47°
∠ACB= 180° -38° -47° (∠ sum of △)
∠ACB= 95°
n°= 180° -95° (adj. ∠s on a str. line)
n°= 85°
n= 85
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)
