Answer:
p = - 5i or p = 5i
Step-by-step explanation:
Noting
= i
Given
p² = - 25 ( take the square root of both sides )
p = ±
= ±
= ± 5i
Thus
p = - 5i or p = 5i
Answer:
25.15 ponds is the weight of two year old baby corresponds to 10th percentile.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 29 pounds
Standard Deviation, σ = 3 pounds
We are given that the distribution of weight of two year old babies is a bell shaped distribution that is a normal distribution.
Formula:

We have to find the value of x such that the probability is 0.10
P(X < x)
Calculation the value from standard normal z table, we have,

Thus, 25.15 ponds is the weight of two year old baby corresponds to 10th percentile.
Answer:

Step-by-step explanation:
The given line is defined by:
, where we see that the slope is 5 and the y-intercept 1.
In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.
"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal:
.
We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:

we require then that when
, the value of
.
Therefore: 
Then our final answer is that the new line should have the form: 