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Fofino [41]
3 years ago
15

How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 3 times?

Mathematics
2 answers:
Anika [276]3 years ago
8 0
N = 3 is the number of times the coin is tossed. Since there are 2 outcomes per toss, this means that there are 2^n = 2^3 = 2*2*2 = 8 outcomes total. Therefore, there are 8 leaves total. 

If we make
H = heads
T = tails

Then here are the 8 outcomes in the sample space
HHH
HHT
HTH
THH
HTT
THT
TTH
TTT


vladimir1956 [14]3 years ago
4 0

There are 8 combinations. A P E X :)

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a fundraiser raised $2400 , which was 3/5 of the goal . write an equation and solve it to find the goal
GuDViN [60]

First of all, 2400=0.6x is the equation

Now, we use cross multiplication

2400/1 = 3/5x

2400*5 = 3x

12,000 = 3x

12000/3= 4000

<u>The total fundraiser goal is $4,000.</u>

7 0
2 years ago
A baseball player hit 65 home runs in a season. Of the 65 home​ runs, 19 went to right​ field, 23 went to right-center​ field, 9
olchik [2.2K]

Answer:

a) 29.23% probability that a randomly selected home run was hit to right field

b) 29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes. It is said to be unusual if it is lower than 5% or higher than 95%.

(a) What is the probability that a randomly selected home run was hit to right field?

Desired outcomes:

19 home runs hit to right field

Total outcomes:

65 home runs

19/65 = 0.2923

29.23% probability that a randomly selected home run was hit to right field

(b) Was it unusual for this player to hit a home run to right field?

29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.

8 0
3 years ago
A farmer finds that if she plants 85 trees per acre, each tree will yield 80 bushels of fruit. She estimates that for each addit
vova2212 [387]

Answer:

52 Trees

Step-by-step explanation:

If she plants 85 trees per acre, each tree will yield 80 bushels of fruit.

Yield = 85 X 80

Let x be the additional tree planted per acre.

For each additional tree planted per acre, the yield of each tree will decrease by 4 bushels.

Therefore, the yield:

F(x)=(85+x)(80-4x)\\F(x)=6800-260x-4x^2

Next, we maximize F(x) by taking its derivatives and solving for its critical point.

F'(x)=-260-8x\\$Setting $F'(x)=0,$ we have:$\\-260-8x=0\\8x=-260\\$Divide both sides by 8$\\x=-32.5

F''(x)=-8, $therefore we have a maximum

It is apparent that she currently has too many trees per acre. To get a maximum harvest, she needs to reduce the number of trees by approximately 32.5 trees.

Therefore, number of trees per acre she should plant:

85+(-32.5)

=85-32.5

=52.5 Trees

Since the number of trees can only be an integer and it cannot be greater than 52.5, the number of trees to be planted per acre to maximize her harvest is 52.

5 0
3 years ago
Using the figure below, and knowing △MNO ≅ △RTS, you can assume that the length of TR = 46 inches.
Lena [83]

Answer:

False

Step-by-step explanation:

The two triangles given in the diagram are congruent.

This means that they are equal in all respect.

The sides and the angles are all equal.

This means that m<T=80

When TR is 46 then it means 64=36, which is not True

Therefore we cannot assume that TR=46

7 0
3 years ago
A store clerk received a shipment of 15 pounds of peanuts. He must package them equally into 10 bags. How many pounds of peanuts
tiny-mole [99]
Each bag has to have 1.5 pounds
8 0
3 years ago
Read 2 more answers
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