Let's say "n" is a natural number. {1,2,3,4,..} To ensure we have an even number we will multiply "n" by 2. Two times any number will make an even number.
consecutive even numbers are like; 2, 4, 6, 8, 10 .. etc. Add +2 to the previous number to get the next consecutive.
1st even number = 2n
2nd even number = 2n + 2
3rd even number = 2n + 4
twice the first number (2n) is 20 more then the second (2n + 2).
2(2n) = 2n + 2 + 20
4n = 2n + 22
4n - 2n = 22
2n = 22
n = 11
Now use n = 11 to find the 3 consecutive even numbers.
1st even number = 2(11) = 22
2nd even number = 2(11) + 2 = 24
3rd even number = 2(11) + 4 = 26
22, 24, 26
Answer:
The measure of
is 30°.
Step-by-step explanation:
In the statement, the angle has been misrepresented. The corrected statement is described below:
<em>"On a unit circle, the terminal point of </em>
<em> is </em>
<em>. What is </em>
<em>?"</em>
The measure of the angle (
), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form
is determined by the following inverse trigonometric function:
(1)
If we know that
and
, then the measure of
is:


The measure of
is 30°.
Answer:
Simple random sampling survey method
Step-by-step explanation:
A simple random sampling is an unbiased survey technique Hence it will represent all the parts of the city's population.
In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population). Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process
Answer:
its A
Step-by-step explanation:
it is linear because this is happening every day, and it is negative because 1/2 is being removed every day
Answer:
The numerical limits for a D grade is between 57 and 64.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:

D: Scores below the top 80% and above the bottom 7%
Between the 7th and the 100 - 80 = 20th percentile.
7th percentile:
X when Z has a pvalue of 0.07. So X when Z = -1.475.




So 57
20th percentile:
X when Z has a pvalue of 0.2. So X when Z = -0.84.




So 64
The numerical limits for a D grade is between 57 and 64.