Answer:
Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
6x + 2y = 28 ( subtract 6x from both sides )
2y = - 6x + 28 ( divide the terms by 2 )
y = - 3x + 14 ← in slope- intercept form
Answer:
probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3
Step-by-step explanation:
First of all;
Let B1 be the event that the card with two red sides is selected
Let B2 be the event that the
card with two black sides is selected
Let B3 be the event that the card with one red side and one black side is
selected
Let A be the event that the upper side of the selected card (when put down on the ground)
is red.
Now, from the question;
P(B3) = ⅓
P(A|B3) = ½
P(B1) = ⅓
P(A|B1) = 1
P(B2) = ⅓
P(A|B2)) = 0
(P(B3) = ⅓
P(A|B3) = ½
Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;
P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]
Thus;
P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]
P(B3|A) = (1/6)/(⅓ + 0 + 1/6)
P(B3|A) = (1/6)/(1/2)
P(B3|A) = 1/3
14f + 7
“Product” means multiplication, so we can assume 14 and f are being multiplied (14f.) Add that to 7, and you have an expression! Have a great day.
Let x be Juilo's normal hourly rate.
so for the 35 hr week we have:-
30x + 5*1.4x = 436.60
37x = 436.60
x = 436.60 / 37 = $11.80
His normal hourly rate = $11.80
So for a 30 hr week he will earn 11.80 * 30 = $354
So the amount $436.60 is a reasonable figure for a 35 hr week.
