Answer:
12
Step-by-step explanation:
Answer:
Not only in mathematics, scientific proof also are required in the other field of science. Also maths proofs are of particular structure, containing steps and logics. So proving is like doing science, it is science. That's why it is important to prove.
Step-by-step explanation:
Answer:
distributive property
Step-by-step explanation:
they distribute the 1 to the 3 and 7 to make it easier
hope this helps
Answer:
And we can find this probability with the complement rule:
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 problem
Let X the random variable that represent the average homicide rate for the cities 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 with the complement rule:
Answer:
x= 6 and b= 126°
Step-by-step explanation:
okay the first step to solving this is understanding what are the properties of ∠A and ∠B.
so the angles are equal to each other because they are alternate interior angles.
if that is settled it means the equation for both angles would be equal to each other as well.
∠A= 8x + 78° ∠B= 2x + 114°
therefore: 8x + 78= 2x + 114
then solve for x:
- isolate x and the answer is equal to 6 at the end
now you are looking for angle b, so you input x which is 6 into the equation;
= 2(6) + 114°
=12 + 114°
=126°