Answer:
x = 30
Step-by-step explanation:
All the angles on a point add up to 360°. Thus, you can find 2x easily.
2x = 360° - 300°
= 60
x = 60 ÷ 2
= 30
Answer:
4 * 2y + 4 * 1
4(2y + 1)
Distributive property
Step-by-step explanation:
8y + 4
We can factor out a 4 out of both as both are divisible by 4
8y / 4 = 2y
4 / 4 = 1
So 8y + 4 is the same as saying 4 * 2y + 4 * 1
This can be written as 4(2y + 1) which is written using the distributive property
There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:
So 5 people and (3) could be considered as 6 entities:
Since the order matters, we have to use permutation:
¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!
2,162,160 x 6 = 12,972,960 ways.
Another way to solve this problem is as follow:
5 + (3) people are considered (for the time being) as 6 entities:
The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways
So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:
Total number of permutation = 2,162,160 x 6 = 12,972,960
Answer:
Step-by-step explanation:
let the smaller square be A, and the side is a
larger square is B, the side is a+3
Area(A)=a^2
Area(B)=(a+3)^2
a^2+(a+3)^2=425 in^2
a^2+a^2+6a+9=425
2a^2+6a=425-9
2(a^2+3a)=416 we divide by 2
a^2+3a=208
we solve the quadratic function
we will get two roots, a(1)=13, and the negative answer we will ignore
a=13 and the side of the larger square is 13+3=16
For random samples of size 100 from a population, the mean of the sample means from all possible samples is <u>less than</u> the population means.
The suggestion of the pattern means will equal the population suggest. the standard deviation of the distribution of the sample means, called the same old blunders of the suggested, is the same as the population trendy deviation divided by means of the rectangular root of the sample length (n).
The general sample suggests components for calculating the pattern mean.
The populace suggest is the mean or average of all values within the given population and is calculated by using the sum of all values within the population denoted with the aid of the summation of X divided by way of the number of values in the population that's denoted with the aid of N.
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