To answer this question you would start with 1 whole piece and break it into 4 equal pieces. Each piece would be 1/4 of the original.
If you used 3 of these, you are left with 1/4.
Out of the 1/4 leftover, you create 5 equal-sized pieces.
1/4 divided by 5.
1/4 x 1/5 = 1/20 of the original board for each.
Answer:
We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 510
Sample mean,
= 502
Sample size, n = 60
Sample standard deviation, s = 30
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,

We reject the null hypothesis and fail to accept it.
We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.
Answer:
The answer is 3.6 acres per day
Step-by-step explanation:
To find the unit rate divide the number of acres by number of days
∴ Unit rate =
÷ 
= (6 × 4 + 3)/4 ÷ (1 × 8 + 7)/8 = 27/4 ÷ 15/8
= 27/4 × 8/15 = 18/5 = 3.6 acres per day
Answer:
it's 0.198
Step-by-step explanation:
Answer:
272
Step-by-step explanation:
note that (f • g)(x) = f(x) × g(x) = (3x - 7)(4x - 5)
To evaluate substitute x = 3 into (3x - 7)(4x - 5)
(f • g)(- 3) = (- 9 - 7)(- 12 - 5) = - 16 × - 17 = 172