Answer:
A had 22 mangoes, B had 26 mangoes
Step-by-step explanation:
We can write the following system:
A + 10 = 2(B - 10) -- Equation 1
3(A - 10) = B + 10 -- Equation 2
A + 10 = 2B - 20 → A = 2B - 30 -- Equation 3 (Simplify Equation 1)
3(2B - 30 - 10) = B + 10 -- Equation 4 (Substitute 3 into 2)
3(2B - 40) = B + 10
6B - 120 = B + 10
5B = 130
B = 26 -- (Solve for B in Equation 4)
A = 2 * 26 - 30 = 22 -- (Substitute B = 26 into Equation 3)
Answer: The probability he didn't take an SAT prep course = 0.985
Step-by-step explanation:
Let us first assume that he took SAT prep.
Surveys indicate that 5% of the students who took the SATs had enrolled in an SAT prep course. 30% of the SAT prep students were admitted to their first choice college. That is,
30/ 100 of 5 = 0.3 × 5 = 1.5
The probability he did take an SAT prep course and got admission into the college of first choice will be
P(prep) = 1.5 / 100 = 0.015
The probability he didn't take an SAT prep course will be:
P(not prep) = 1 - P(prep)
P(not prep) = 1 - 0.015
P(not prep) = 0.985
ANSWER
The correct answer is

EXPLANATION
The mapping for reflection across the x-axis is given by

Given

. We can let

we can write the ordered pair

or

as the ordered pair of the preimage of

.
The image function will have the ordered pair

or

.
That is, we negate all the y-coordinates.
Therefore

.
Answer:
(0,-2)
Step-by-step explanation:
Given the the two angles find the missing angle of P which is 30 degrees.
Since angle P and C are identical their sides are congruent.
The hypotenuse, the largest side is PC because it corresponds to angle T
Using Pythagorean Theorem
a^2 + b^2 = c^2
(PT)^2 + (CT)^2 = (PC)^2
Given that PT is 4 and knowing PT and CT are congruent we can rewrite this
(4)^2 + (4)^2 = (PC)^2
PC = rad(32)
Someone fact check plz