Answer:
3/7 is the slope and -5 is the y intercept
Step-by-step explanation:
y=3/7x-5
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
3/7 is the slope and -5 is the y intercept
The answer is 83/1000 in it's simplest form.
Answer:
Step-by-step explanation:
When we collect a large data we may find a single entry repeated. In these cases we prepare frequency distribution with x = the item in one column and f = the no of times it repeats i.e. frequency in other column.
Similarly for class intervals also, we write as frequency to the right side of interval column which gives no of items which fall within the class.
This process ensures compact presenting of data.
Hence we have
a)The number of observations that fall in a class
answer: Frequency
b) The relative frequency of a class multiplied by 100
answer: Percentage. Because when we express probability as a percentage we get total 100
c) The ratio of the frequency of a class to the total number of observations
answer: Relative frequency
(Relative frequency also known as probability is frequency/total entries)
In a hand of 5 cards, you want 4 of them to be of the same rank, and the fifth can be any of the remaining 48 cards. So if the rank of the 4-of-a-kind is fixed, there are 
possible hands. To account for any choice of rank, we choose 1 of the 13 possible ranks and multiply this count by 
. So there are 624 possible hands containing a 4-of-a-kind. Hence A occurs with probability
There are 4 aces in the deck. If exactly 1 occurs in the hand, the remaining 4 cards can be any of the remaining 48 non-ace cards, contributing 
possible hands. Exactly 2 aces are drawn in 
hands. And so on. This gives a total of
possible hands containing at least 1 ace, and hence B occurs with probability
The product of these probability is approximately 0.000082.
A and B are independent if the probability of both events occurring simultaneously is the same as the above probability, i.e. 
. This happens if
- the hand has 4 aces and 1 non-ace, or
- the hand has a non-ace 4-of-a-kind and 1 ace
The above "sub-events" are mutually exclusive and share no overlap. There are 48 possible non-aces to choose from, so the first sub-event consists of 48 possible hands. There are 12 non-ace 4-of-a-kinds and 4 choices of ace for the fifth card, so the second sub-event has a total of 12*4 = 48 possible hands. So 
consists of 96 possible hands, which occurs with probability
and so the events A and B are NOT independent.
Answer: she wants to rent the car for 11 days.
Step-by-step explanation:
Let x represent the number of additional days that Pamela wants to rent the car for.
Customers can pay $40 to rent a compact car for the first day plus $6 for each additional day. This means that the total cost of using this special for x days would be
40 + 6(x - 1) = 40 + 6x - 6
= 34 + 6x
Also, they can rent the same car for $30 the first day and $7 for every additional day beyond that. This means that the total cost of using this special for x days would be
30 + 7(x - 1) = 30 + 7x - 7
= 23 + 7x
Since she found out that the two specials are equivalent for x days, then
34 + 6x = 23 + 7x
7x - 6x = 34 - 23
x = 11
