we get that the slope is:
so the answer is -3
Answer: x=32
Step-by-step explanation: Lines equal 180° so
83+4x+1=180
84+4x= 180
4x=96
x=32
D 35 units squared. If you would graph it on a piece of graph paper or look at the points one side would be the difference between 10 and 3 and the other side would be the difference between 7 and 2. Then taking those totals multiple them together to get the area
Answer:
The probability is 0.3576
Step-by-step explanation:
The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.
For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773
To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649
The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.
As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576
Answer:
c.My grade is 0.87 standard deviations above the mean.
Step-by-step explanation:
given that the z-score of your grade on this Statistics exam turns out to be z=0.87.
Z score is nothing but std normal variate
Any normal distribution can be converted into std normal by the transformation
Z =
Thus when z=0.87 we mean
x = Mean +0.87 sigma
Or my grade is 0.87 std deviations above the mean
Hence option C is right.
c.My grade is 0.87 standard deviations above the mean.