B. P+Q
This the answer on edmentum
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Answer:
probability of lasting longer = 1.7%
Step-by-step explanation:
We are given:
x' = 14 years
μ = 12.3 years
s = 0.8 years
Thus, let's use the formula for the Z-score value which is;
z = (x' - μ)/s
Thus;
z = (14 - 12.3)/0.8
z = 2.125
From the z-distribution table attached, the p-value is ;
P(x' > 2.125) = 1 - 0.983 = 0.017 = 1.7%
Thus,probability of lasting longer = 1.7%
10^38
<u>Step-by-step explanation:</u>
Given that,
10^32 x 10^6
Here the base is same (10) and the powers are 32 and 6.
These 2 bases are in multiplication form so the powers can be added up.
10^32 x 10^6 = 10^(32+6)
= 10^38
Answer:
35.
Step-by-step explanation:
Convert 50% into a decimal
50/100=0.5
Multiply.
70 * 0.5 = 35