Answer: 28
Step-by-step explanation: you have to add 21 + 7 because your counting up from -7 to 21
Answer:
second option
Step-by-step explanation:
Given
+ 6x² + 5 = 0
let u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Change u back into terms of x, that is
x² = - 1 ( take the square root of both sides )
x = ±
= ± i ( noting that
= i ), and
x² = - 5 ( take the square root of both sides )
x = ±
= ±
= ±
×
= ± i
Solutions are x = ± i and x = ± i
The equation for the line of reflection is x = 2.
If you drew a vertical line crossing the x-axis on x = 2, the drawing will be the same on the left and right side, as if one side was drawn then exactly copied on the other side but flipped.
The figure is symmetrical, and x = 2 is the line of symmetry.
Hope this helps!
Answer: 0.2643
Step-by-step explanation:
Given : The proportion of adults are unemployed : p=0.077
The sample size = 300
By suing normal approximation to the binomial , we have


Now, using formula
, the z-value corresponding to 26 will be :-

Using standard distribution table for z , we have
P-value=

Hence, the probability that at least 26 in the sample are unemployed =0.2643
V = 4/3 * pi * r^3
V = 4/3 * 3.14 * 21^3
Simplify exponent:
V = 4/3 * 3.14 * 9261
Multiply:
V = 38772.72