Answer:
11y+10/3 if you're looking to simplify. hope this helps!!
<span>To put the unknown in other words, we are to determine a fraction that has a denominator of 10 which should be equivalent to 3/5. If we let x be the numerator of the second fraction such that we form a proportion out of the two fractions that is,
3/5 = x/10
The value of x is calculated as below,
x = (3)(10) / 5 = 6
ANSWER: 6</span>
Answer:
4x² + 9y² + 12x - 18y - 12xy + 9
Step-by-step explanation:
Given
(2x - 3y + 3)² = (2x - 3y + 3)(2x - 3y + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x - 3y + 3) - 3y(2x - 3y + 3) + 3(2x - 3y + 3)
Distribute the 3 parenthesis
= 4x² - 6xy + 6x - 6xy + 9y² - 9y + 6x - 9y + 9 ← collect like terms
= 4x² + 9y² + 12x - 18y - 12xy + 9
Mean, m = 18 in
Standard deviation, SD = 2.2 in
Range: 16 ≤ X ≤ 21 in
Calculating Z value,
Z = (X-m)/SD
Then,
Z1 = (16-18)/2.2 ≈ -0.91
Z2 = (21-18)/2.2 ≈ 1.36
From Z table, and at Z1 = -0.91, and Z2 = 1.36;
P(16) = 0.1814
P(21) = 0.9131
Therefore,
P(16≤X≤21) = 0.9131 - 0.1814 = 0.7317
The probability that a child selected randomly measures between 16 and 21 in is 0.7317.
The answer is c your welcome