<span>The value of z is 0.8770. This answer was derived from information in the question, which states that the value of z is 0.8770. Granted, I don't understand what is meant by "cumulative standardized normal distribution." I only passed statistics because the professor felt sorry for me.</span>
Rewrite <span>2cos x + 1 = 0 as:
2 cos x = -1, and then cos x = -1/2
x must be in Quadrant II or Quadrant III, since the adj. side is negative.
Note that the angle 120 has adj. side -1 and hyp 2. So 120 degrees is one solution.
Now what about a possible 2nd solution, to be found in Quadrant III? That would be -120 degrees, which has the same terminal line as does 240 degrees.
No soap.
So, the solution is 120 degrees.</span>
Answer:
8.9%
Step-by-step explanation:
Here, we are to calculate the probability of Howard choosing a chocolate candy followed by a gummy candy.
The probability of selecting a chocolate candy = number if chocolate candy/ total number of candy
Total number of candy = 5 + 4 + 6 = 15
Number of chocolate candy = 5
The probability of selecting a chocolate candy = 5/15 = 1/3
The probability of selecting a gummy candy = number of gummy candies/total number of candies
Number of gummy candy = 4
The probability of selecting a gummy candy = 4/15
The probability of selecting a chocolate candy before a gummy candy = 1/3 * 4/15 = 4/45 = 0.088888888889
Which is same as 8.89 percent which is 8.9% to the nearest tenth of a percent
Answer:
4th choice: I and IV only
Step-by-step explanation:
Change the form of the given equation to standard form.
y = -2/3 x + 2
3y = -2x + 6
2x + 3y = 6
Now compare this equation with the 4 choices.
Any equation that has the same x- and y-terms but a different constant term is parallel.
I. is parallel.
II. and III. are not parallel.
Look at IV.:
4x + 6y = 3
Divide both sides by 2:
2x + 3y = 3/2
IV. is also parallel.
Answer: 4th choice: I and IV only
Answer:
A straight line through the origin, and with a positive gradient (sloping from bottom left to top right)
