Answer:
Step-by-step explanation:
The mean, , is 90 and the standard deviation, , is 12. We are looking for the probability that the variable X will fall between 57 and 105. We use the z-score table for this, AFTER we find the z scores. The formula to find the z-scores for us is:
and we fill in accordingly:
which simplifies to
and we will break them up into 2 different sets as follows:
P(-2.75 ≤ z ≤ 0) + P(0 ≤ z ≤ 1.25)
and based on the fact that z scores are given from 0 on up, we are going to convert the first one by using the logic that if z is greater than -2.75 but less than 0, by symmetry, z is greater than 0 but less than 2.75:
P(0 ≤ z ≤ 2.75) + P(0 ≤ z ≤ 1.25) and we go to the z-score table.
Locate 2.7 down along the left side and move over til you're under the .05; that gives us the z-score for 2.75 which is .4970. Do the same for 1.25 to get a z-score of .3944. Add them together to get a final z-score that covers the range of values for X:
.4970 + .3944 = 0.8914
Answer: 3/5 = (6/10). There are 10 TOTAL marbles in the bag.
Step-by-step explanation:
Since it is a question of fractions, you can assume any reasonable number and work with the numbers. We know initially that there are 6 marbles and they are ALL blue and the rest are another color or colors. So BLUE = 6/10 and the other colors 4/10 for 2/5.
4.288 rounded to the nearest hundreth is 4.29
4.288 = 4.29
There is no picture of the parallelogram needed to answer this question.