For any integer x, x^2-x will always produce an even value. True or false
1 answer:
That true. You have two ways to show it:
Method 1:
Factor the expression. You have
So, you're multiplying two consecutive numbers. One of them must be even, and if a factor of a product is even, the result will be even.
Method 2:
If x is even, is even as well. So,
is a subtraction between even numbers, which gives an even number.
If x is odd, is odd as well. So,
is a subtraction between odd numbers, which gives an even number.
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we know that
The measure of the interior angle is the half-sum of the arcs comprising it and its opposite.
so
<u>Find the measure of the angle LAM</u>
m∠LAM is equal to
<u>Find the measure of the angle MAJ</u>
we know that
m∠LAM+m∠MAJ=° ------> by supplementary angles
m∠MAJ=
m∠MAJ=°
therefore
<u>the answer is</u>
The measure of the angle MAJ is
Let x be the discrete random variable whose value is the number of successes in n trials.
The probability distribution function for x of the binomial distribution B(n,p) is defined as
Given that the random sample size is
let x represent number of customers who purchase running shoes
Let "p" be the probability of customers in a sporting goods store purchase a pair of running shoes.
It is given that 70% of the customers in a sporting goods store purchase a pair of running shoes.
Thus
Thus the Probability distribution of x is given by
, where
Given Information:
John's mean monthly commission = μ = $10,000
Standard deviation of monthly commission = σ = $2,000
Answer:
The probability that John's commission from the jewelry store is between $9,000 and $11,000 is 38.3%
Step-by-step explanation:
What is Normal Distribution?
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
We want to find out the probability that John's commission from the jewelry store is between $9,000 and $11,000?
The z-score corresponding to 0.50 is 0.6915
The z-score corresponding to -0.50 is 0.3085
Therefore, the probability that John's commission from the jewelry store is between $9,000 and $11,000 is 38.3%
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.4, 2.2, 0.5 etc.)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.50 then go for 0.00 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.