Answer:
7/15
Step-by-step explanation:
P(appetizers with cheese) = number with cheese / total = 1/5
P(entrees with cheese) = number with cheese / total = 1/3
It is the P(a) + P(b) - P(a and b)
We cannot double count the cheese and cheese event)
P( cheese and cheese) = 1/3 * 1/5 = 1/15
1/5 + 1/3 - 1/15
3/15 + 5/15 -1/15
8/15 - 1/15
7/15
Answer:
<em>In 5 years the product of their ages will be 208</em>
Step-by-step explanation:
The age of two children is 11 and 8 years.
Let's call x the number of years ahead.
We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:
(11+x)(8+x)=208
Operating:
Simplifying:
Factoring:
(x-5)(x+24)=0
Solving:
x=5, x=-24
The negative solution is not valid, thus x=5
In 5 years the product of their ages will be 208
When you first pick a ticket, there are 2 winning tickets and 40 total tickets. This means that there is a 2/40 chance of your ticket being a winning one. This fraction can be reduced to 1/20.
After this, there will be 1 winning ticket left and 39 total tickets. There is a 1/39 chance of the next ticket being a winning one. We multiply these two fractions together to get our answer. 1/20 * 1/39 = 1/780, so there is a 1/780 chance of having 2 winning tickets.
5.66
5.723
23/4 = 5.75
5 8/11 = 5.727
least to greatest : 5.66 , 5.723, 5 8/11, 23/4
** I find it easier to put the all in decimal form, then to mess with equivalent fractions
#41We can break the arrow two separate parts. A rectangle and a triangle.
To find the height of the triangle, do 5-3=2. The area of the triangle is
Then, 8/2=4. 4+6=10
10 is the answer for #41
#42
The question asks for what goes into the cans. The calls for the volume of the cans.
Volume is the answer.
#43Subtract 4 from the x of (8,5)
(4,5) is your answer
#44
The answer is Do you want to play soccer next year. This is because the question asks for what sport they offer to have next year, not if you are good at a sport, ever played a specific sport, etc.
Do you want to play soccer next year is your answer.
#45
To find surface area is the find the area of all surfaces. All the squares are the same shape, and the side of each square is 24.
. We know there are 6 squares, so 576*6=3456
3456 is your answer.
#46
The question asks for the range. Range is the highest value from a set minus the lowest value of a set. In our case, 51 is the highest and 10 is the lowest. 51-10=41
41 is your answer
#47
The question asks for the mean. This is the average of all values. We add
The question asks for the closet value.
80 is our answer
#48
Last but not least...
The question asks for how many teachers have 5-14 years of teaching experience, inclusive. We use the values from the table to find our answer.
12 is your solution.
~Hope I helped