Answer:
solve for x, 5(x + 2) - 13 = -2(x - 10) + 3x + 1
D) x = 6
Answer:
And we can find this probability on this way:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problm
Let X the random variable that represent the scores on an exam of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability on this way:
Answer:
Step-by-step explanation:
The sample space is shown in the attached photo.
Probability = number of favourable outcomes/total number of outcomes.
Looking at the diagram, the total possible outcomes is 36.
A) from the diagram, the total number of events in which the sum of the numbers is odd is 18. Therefore, the probability that the sum of the numbers is odd is
18/36 = 1/2
B) the total number of events in which the sum of the numbers is 10 or more is 6. Therefore, the probability that the sum of the numbers is 10 or more is
6/36 = 1/6
C) the total number of events in which 3 appears on each of the two dice is 1. Therefore, the probability that 3 appears on each of the two dice is
1/36
Answer:
The answer is 2
Step-by-step explanation:
To find this, follow the order of operations as laid out below.
120(2x - 2) = 240 ----> Divide both sides by 120
2x - 2 = 2 ----> Add 2 to both sides
2x = 4 ------> Divide both sides by 2
x = 2
First you need to find the 3rd angle of the triangle
180 - 86 - 46 = 48
and then subtract the answer by 180 (because it’s a straight line)
180 - 48 = 132
so 132