To determine the probability that exactly two of the five marbles are blue, we will use the rule of multiplication.
Let event A = the event that the first marble drawn is blue; and let B = the event that the second marble drawn is blue.
To start, it is given that there are 50 marbles, 20 of them are blue. Therefore, P(A) = 20/50
After the first selection, there are 49 marbles left, 19 of them are blue. Therefore, P(A|B) = 19/49
Based on the rule of multiplication:P(A ∩ B) = P(A)*P(A|B)P(A ∩ B) = (20/50) (19/49)P(A ∩ B) = 380/2450P(A ∩ B) = 38/245 or 15.51%
The probability that there will be two blue marbles among the five drawn marbles is 38/245 or 15.51%
We got the 15.51% by dividing 38 by 245. The quotient will be 0.1551. We then multiplied it by 100% resulting to 15.51%
Answer:
see below
Step-by-step explanation:
Except for the stretch factor, your work is completely correct. Multiplying only the x-coordinate by a factor of 2 results in a horizontal stretch by that factor.
Your coordinates and graph are correct.
In the comparison, you just need to say what happened.
Answer:
B) 
.
Step-by-step explanation:
The vertex form of the equation is given by 
.
We plug in the vertex to obtain:
.
Since the graph passes through (5,5) and (9,5), they must satisfy its equation.
.
.
Divide both sides by 4.
Therefore the equation is:
.
Answer:
4y+5 vegetable seeds.
Step-by-step explanation:
In order to find the total amount of vegetable seeds, you need to add y+3y+5.
You have to combine your like terms.
3y and y are like terms, so you add them to get 4y. 5 and 4y are not like terms, so you just write your expression as 4y+5.
Hope this helps!
