<h3>
Answer: Choice F) 1</h3>
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Explanation:
x^2+8x+7 factors to (x+1)(x+7)
x^2+4x-21 factors to (x-3)(x+7)
Therefore, the numerator (x^2+8x+7)(x-3) updates to (x+1)(x+7)(x-3)
The denominator (x^2+4x-21)(x+1) updates to (x-3)(x+7)(x+1)
We have three pairs of terms that will cancel between the numerator and denominator. The (x+1) terms pair up and cancel out, so do the (x+7) terms and also the (x-3) terms as well. Everything cancels out. The only thing left is 1 because x/x = 1 where x is nonzero. We can have a more complicated expression replace x to get the same basic idea. This is what I mean by "canceling".
Answer:
The Acceleration of bike after 3 minutes of ride is 14 meter² per minutes
Step-by-step explanation:
Given as :
The displacement of bike is the function of time
i.e s(t) = t³ - 2 t² + 3 meters
The Time of bike acceleration = t = 3 minutes
Let The Acceleration of bike = a meter² per minutes
Now, According to question
∵ <u>Acceleration is define as the rate of change of velocity</u>
i.e acceleration = 
or, a = 
And
<u>Velocity is define as rate of change of displacement</u>
i.e velocity = 
Or, v = 
Since here displacement is function of time
So , v = 
Or, v = 
Or, v = 3 t² - 4 t + 3
So, velocity is the function of time = v = 3 t² - 4 t + 3 meter per minutes
Now, Again
Acceleration = a = 
Or, a = 
Or, a = 6 t - 4
∴ Acceleration is the function of time = a = 6 t - 4
Now, Acceleration of bike after 3 minutes
So, at t = 3 min
i.e a = 6 t - 4
Or, a = 6 × 3 - 4
Or, a = 18 - 4
∴ a = 14 meter² per minutes
Hence, The Acceleration of bike after 3 minutes of ride is 14 meter² per minutes . Answer
1/6*1/6*1/6*1/6 = 1/1296 = 0.078% probability of ANY 4-letter sequence (including qqqq)
1000/1296 is less than 1.
Expected number of times qqqq (or any given 4-letter sequence) will appear in 1000 letters is 0.
Answer:
Step-by-step explanation:
hello,
from the question, we were not given the P-value. If the test result were statistically significant, this means that P < 0.05 , thus we will reject the null hypothesis. if P < 0.05, then we are saying that the probability that the teaching method affected the students in their final exams is less that 5%. hence we reject the null hypothesis.
on the other hand if the test result is not statistically significant, this means that the P-value, P > 0.05, thus we will fail to reject the null hypothesis because the probability that the teaching method affected the students performance in their final exam is greater than 5%.
