Liam wants to buy a bicycle that costs $290.00. His parents say Liam must raise 40% of the money himself. How much money must Liam raise?
Answers
Answer:
Liam must raise $116 .
Step-by-step explanation:
Formula
As given
Liam wants to buy a bicycle that costs $290.00.
His parents say Liam must raise 40% of the money himself.
Percentage = 40%
Total value = $290
Putting in the formula
Part value = $116
Therefore the Liam must raise $116 .
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The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. If a sample of 15 random matches of the player is taken, the mean first-serve percentage is found to be 26.4%. What is the margin of error of the sample mean?
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Answers
Answer:
Advance tickets=$25
Same-day tickets=$15
Step-by-step explanation:
Complete question below:
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 40. For one performance, 25 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1075 . What was the price of each kind of ticket?
Let
advance tickets=x
Same-day tickets=y
Combined cost of advance and same-day tickets=$40
It means,
x+y=40 Equ (1)
25 advance tickets and 30 same-day tickets=$1075
It means,
25x+30y=1075 Equ(2)
From (1)
x+y=40
x=40-y
Substitute x=40-y into (2)
25x+30y=1075
25(40-y)+30y=1075
1000-25y+30y=1075
5y=1075-1000
5y=75
Divide both sides by 5
5y/5=75/5
y=15
Recall,
x+y=40
x+15=40
x=40-15
=25
x=25
Advance tickets=$25
Same-day tickets=$15
Check
25x+30y=1075
25(25)+30(15)=1075
625+450=1075
1075=1075
Answers
So if every single person handshakes everyone's hand once it would be a total of
64 times
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P(A and B)=P(A)*P(B)
where P(A) is the probability of event A happening, P(B) is the probability of event B happening, and P(A and B) is the probability of both happening.
For this problem, let's say that event A is the probability that the spinner stops at the green color. Since the spinner has 3 colors and they have equal area (sector) occupied in the circle, each color has the same chance, 1/3 chance of being picked. Thus, there's a 1/3 chance of the spinner stopping at the green color so P(A)=1/3.
Event B is the probability of Jordan picking up the yellow card. There are six possible colors to pick and since Jordan picked up the card without peeking, each color has an equal chance to be picked. Thus, there's a 1/6 chance that the yellow card will be selected so P(B)=1/6.
Using the formula, we can then calculate P(A and B), the probability that the spinner stops at green and a yellow card is selected:
P(A and B)=P(A)*P(B)=1/3*1/6=1/18
Answer: the answer is 1/18, got it right on the test
Answers
Answer:
-2.2, -2, 1/8, 3/4, 2.8, 3
Step-by-step explanation:
Answer:
-2 3/4, -2 2/5, 2.8, 3 1/8
Step-by-step explanation:
Strategy 1:
What you want to do in this question is convert everything into one unit. So either decimals, or fractions. I find it easier to do this with decimals so here is my steps to solving this.
Since -2 3/4, and 3 1/8 are already fractions we don't need to convert them.
Let's do 2.8 first.
0.8 as a fraction is 8/10, or 80/100 because one way to thing about it is 0.8 is just 0.8/1.0 and if you multiply top and bottom by ten, then you can get 0.8 = 8/10. lets simplify a bit more. 8/10 if you divide by 2 on top and bottom you get 4/5. So 2.8 = 2 4/5
We can do the same thing with -2.2.
All we have to do is do 0.2/1.0 times 10 on top and bottom and we get 2/10. Now we simplify. We can divide top and bottom by 2 without a remainder so if we do that we get 1/5 in simplified form. So -2.2 = -2 1/5
now 4/5, 1/5, 3/4 and 1/8 don't have the same base, so by using LCM (Least Common Multiple) we can figure out that the least common multiple between all of them is 40. All we have to do now is multiply top and bottom in a way that gets us 40 on both bases. (For 4/5 and 2/5 you have to multiply top and bottom by 8 to get 40 and for 3/4 you have to multiply top and bottom by 10 and for 1/8 you have to multiply the top and bottom to get 40.) Once we multiply it all out we get:
2 32/40, -2 30/40, 3 5/40, -2 8/40.
Now if you compare the negatives and the positives greatest to least you get:
Negatives: -2 8/40, -2 30/40
Positives: 2 32/40, 3 5/40
And if you put them together
-2 8/40, -2 30/40, 2 32/40, 3 5/40
Strategy 2:
If you're confident just estimate lol (When your'e at a higher level.)
Disclaimer: Doesn't work for all problems just the easy ones
Answers
Both numbers are divisible by 10, and 7 and 2 share no common factors as they are both prime numbers making it the most simplified