Answer:
1/2 + 5/2 i
Step-by-step explanation:
(-5+i) i
---------* --------
2i i
cannot have i in the denominator so we multiply by i
(-5+i) i -5i + i^2
---------* -------- = ----------------
2i i +2i^2
remember i^2 = -1
-5i + -1 -1 -5i
= ---------------- = ------------------
+2(-1) -2
get rid of the negative in the denominator by multiplying the top and bottom by -1
(-1 -5i) * -1
= ------------------
-2*(-1)
(1 +5i)
= ------------------ = 1/2 + 5/2 i
2
Answer:
4.05% probability that a randomly selected adult has an IQ greater than 123.4.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

Probability that a randomly selected adult has an IQ greater than 123.4.
This is 1 subtracted by the pvalue of Z when X = 123.4. So



has a pvalue of 0.9595
1 - 0.9595 = 0.0405
4.05% probability that a randomly selected adult has an IQ greater than 123.4.
It is a linear equation so there can be 1 solution, 0 solutions, or infinite solutions
4(x-5)=4x-24
distribute
4x -20 = 4x-24
subtract 4x from each side
-20 = -24
no solutions
Answer:
the third one has a 2 acute angles 2 abuse angles and the x value is 110
Step-by-step explanation
the x value has to be bigger then 90 degree angles because it is a abuts angle and the 57 angle is a acute angle
F - 3/4 = 5/6
Add 3/4 to both sides to get
F = 5/6 + 3/4 = 19/12