Answer:
A lily costs $7 and a geranium $4.
Step-by-step explanation:
From the question, we can write two equations. let the number of lilies be l and the number of geraniums be g, then:
5
g
+
4
l
=
48
4
g
+
6
l
=
58
Multiply the first equation by 4 and the second by 5, the number of lilies in the other gives:
20
g
+
16
l
=
192
20
g
+
30
l
=
290
Subtract the first equation from the second gives:
14
l
=
98 which dividing by 14 gives l
=
7
Substituting the value l
=
7 in the first equation gives:
5
g
+
28
=
48
Subtract 20 from both sides gives:
5
g
=
20 divide by 5 gives g
=
4
So, a lily costs $7 and a geranium costs $4.
Y = (2)^(n+1) - 2
is the general term for this.
Answer:
P = 0.4812
Step-by-step explanation:
First, we need to use here two expressions and then do the calculations.
The first one is the conditional probability which is:
P(B|A) = P(A∩B)/P(A) (1)
The second expression to use has relation with the Bayes's theorem which is the following:
P(D|C) = P(C|D)*P(D) / P(C|D)*P(D) + P(C|d)*P(d) (2)
Now, the expression (2) is the one that we will use to calculate the probability of a selected random bicyclist who tests positive for steroids.
So, in this case, we will call C for positive and D that is using steroids and d is the opposite of d, which means do not use steroids.
Then, the probabilities are the following:
P(D) = 8% or 0.08
P(C|D) = 96% or 0.96
P(C|d) = 9% or 0.09
P(d) = 1 - 0.08 = 0.92
With these data, let's replace in expression 2
P(D|C) = 0.96 * 0.08 /0.96 * 0.08 + 0.09*0.92
P(D|C) = 0.0768 / 0.1596
P(D|C) = 0.4812 or 48.12%
Answer:
-5 1/4 - (-7 1/2) = 9/4
Step-by-step explanation:
Use a calculator to check.
The pattern is that every 2 numbers are a pair, the first being any selected number, and the second number next to is the number times 3.
3 x 3 = 9
4 x 3 =12
7 x 3 = 21
Therefor we type 16 x 3 = 48
48 is your next number.
