Part 1: Create a scenario for an arithmetic sequence. For example,
Jasmine practices the piano for ten minutes on Monday. Every day she adds her
practice time by five minutes. If she continues this pattern, in the 7th day she will practice for 10 + 5 + 5 + 5 + 5 + 5 + 5 = 10 + 6(5) = 10 + (7 - 1)(5) = 20 + 30 = 40 minutes.
Hence the function for the 7th term in the sequence is a + (7 - 1)d = a + 6d where a is the number of minutes Jasmine practiced the piano on Monday and d is the additional number of minutes added by Jasmine to his practice time evey day.
Answer:
Volume = 200.96 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula 
Where r is the radius and h is the height
Given r = 4 and height is 3 times that. So height is 4*3 = 12
Plugging these into the formula we get:
Volume of Cone = 
Thus, Volume = 200.96 cubic feet
Answer:
34.98yd^3
Step-by-step explanation:
Volume of a sphere V=4/3πr3
Where V = 2240yd^3
π = 3.14
2240 = 4/3×3.14×r^3
2240 = 4.1866r^3
r^3 = 2240/4.1866
r^3 = 534.784
r = ( 534.784 )^1/3
r = 8.1169
Since each dimension is to be multiplied by 1/4
Hence, 1/4×8.1169
r = 2.029.
New volume will be
V = 4/3×3.14×2.029^3
V = 4/3×3.14×8.3558
V = 34.98yd^3.
Answer:
Hi there, the answer is 1/3
Step-by-step explanation:
Answer:
The right answer is:
If the mean typing speed of workers from the agency is 60 wpmwpm, the probability of selecting a sample of 50 workers with mean 58.8 wpmwpm or less is 0.267.
Step-by-step explanation:
The P-value gives us the probability of getting the sample we are evaluating (in this case a sample with size n=50 and mean=58.8 wpm), if the null hypothesis is true (in this case, μ=60 wpm).
If the P-value is low enough, that is under the significance level, then we can infer that the mean that the null hypothesis states is not the actual mean, and we have evidence to reject the null hypothesis.
