Answer:
D
Step-by-step explanation:
So we have the equation:
And we want to solve for x.
We can solve it by completing the square.
First, subtract 58 from both sides:
Divide the b term by 2 and square it:
So, add 9 to both sides:
On the left, the perfect square trinomial pattern. Add on the right. So:
Take the square root of both sides:
The square root of -49 is 7i:
Add 3 to both sides:
So, our answer is D.
And we're done!
z = -2.83
<u>Explanation:</u>
Given:
Mean, μ = 68
Standard deviation, σ = 6
Data point, x = 51
Z score, z = ?
We know:
Substituting the value we get:
A negative z score says that the data point is below average.
Answer:
B
Step-by-step explanation:
since y and x vary directly the equation relating them is
y = kx ← k is the constant of variation
to find k use any ordered pair from the list given
using x = 4 when y = - 2, then
k = =
= - 0.5 → B