Answer: 7/10=35/50
Step-by-step explanation:
1. To get 50, you had to multiply 10 by 5, so do the same to the numerator, 7.
2. 7*5=35.
Answer:
Isocoles (I can't spell)
Step-by-step explanation:
180-70=110. 110-40=70.
Two angles are 70
Answer:
15.2 inches
Step-by-step explanation:
a^2 + b ^2= c^2
5^2 + b ^2=16^2
b ^2=256 - 25
√b ^2=√231
b= 15.2 inches
Answer:
Step-by-step explanation:
To solve this problem you need the function
h(t) = -16t2 + v0t + h0
where t = time
v0 is the initial velocity, which in our case is 0
h0 = initial height, which in our case is 256
h(t) = 0 since we want to know when the ball will hit the ground.
0 = -16 t2 + 256
And we can solve for t
If we rearrange the terms we see that this is a difference of 2 squares
0 = 256 - 16t2
0 = (16-4t)(16+4t)
Setting each factor = 0
16-4t=0 16+4t=4
t = 4 t = -4
The second solution is discarded as time cannot be negative.
So the ball will hit the ground in 4 seconds.
Answer:
(A) There should have been 5 outcomes of HT
(B) The experimental probability is greater than the theoretical probability of HT.
Step-by-step explanation:
Given
-- Sample Space
--- Sample Size
Solving (a); theoretical outcome of HT in 20 tosses
First, calculate the theoretical probability of HT
![P(HT) = \frac{n(HT)}{n(S)}](https://tex.z-dn.net/?f=P%28HT%29%20%3D%20%5Cfrac%7Bn%28HT%29%7D%7Bn%28S%29%7D)
![P(HT) = \frac{1}{4}](https://tex.z-dn.net/?f=P%28HT%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
Multiply this by the number of tosses
![P(HT) * n= \frac{1}{4} * 20](https://tex.z-dn.net/?f=P%28HT%29%20%2A%20n%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2A%2020)
![P(HT) * n= 5](https://tex.z-dn.net/?f=P%28HT%29%20%2A%20n%3D%205)
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Solving (b); experimental probability of HT
Here, we make use of the table
![P(HT) = \frac{n(HT)}{n(S)}](https://tex.z-dn.net/?f=P%28HT%29%20%3D%20%5Cfrac%7Bn%28HT%29%7D%7Bn%28S%29%7D)
![P(HT) = \frac{6}{20}](https://tex.z-dn.net/?f=P%28HT%29%20%3D%20%5Cfrac%7B6%7D%7B20%7D)
---- Experimental Probability
In (a), the theoretical probability is:
![P(HT) = \frac{1}{4}](https://tex.z-dn.net/?f=P%28HT%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
---- Experimental Probability
By comparison;
![0.30 > 0.25](https://tex.z-dn.net/?f=0.30%20%3E%200.25)