Answer and Step-by-step explanation:
Solution:
Statement:
If two planes intersect their intersection is a line.
Suppose that
P =if two planes intersect.
q = then their intersection is line.
¬p = if two planes do not intersect.
¬q = then their intersection is not a line.
Converse:
If two planes intersect their intersection is a line.
P → q
Inverse:
If two planes do not intersect, then their intersection is not a line.
¬p → ¬q
Contrapositive:
If two planes intersection is not a line, then they do not intersect.
¬q → ¬p
Answer:
X-intercept is 5
Step-by-step explanation:
find the x-intercept let y=0
x+2(0)=5
x+0=5
x=5
Answer:
3b: 1/26
4i: 1/4
4ii: 1/13
4iii 1/13
4iv: 1/13
4v: 3/13
Step-by-step explanation:
3b. there are 26 letters in the alphabet, and there is only 1 S, thus the answer is 1/26
4i: There are 13 cards in each suite, so there is a 13/52 = 1/4 chance.
4ii: There are four aces (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13
4iii: there are four 7's (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13
4iv: there is a king in each of the suites, therefore the answer is 4/52 = 1/13
4v: there are a total of 12 court cards (4 kings, 4 queens, and 4 jacks) thus the answer is 12/52 = 3/13
First, find the mean. You'll need it to compute the variance.
The variance of the sample is then computed with the formula
The standard deviation is the square root of the variance, so
There is not an exact way to answer that question. The number of representatives each state has is determined by the population. However, the total number of house representatives has been capped at 435 since 1913. Currently, the ratio of constituents to representatives is 700,000 to 1. So if you divide the total population by 700,000 you will have an approximation of the number of representatives.
