Start by identifying any factor of 50 and then rewriting 50 to include that one factor and another:
50 = 5 * 10 5 is prime, but 10 is not. Thus, factor 10:
50 = 5 * 5 * 2 This is 50 as a product of its prime factors 5, 5 and 2.
Answer:
0
Step-by-step explanation:
0 because he grew 22 but the rabbit ate 25 which does not make sense
Answer:
1/4
Step-by-step explanation:
use the slope formula, (y2-y1)/(x2-x1) , or rise over run.
this would give you 2-(-1) divided by 6-(-6)
giving you 3/12, reducing to 1/4
Answer:
From the result of the one-tailed z-test, we can conclude that the mean waiting time is not significantly less than the the 15 minute claim by the taxpayer advocate.
Step-by-step explanation:
Sample size = 50
Mean waiting time = 13 minutes
Standard deviation = 11 minutes
We need to perform one hypothesis test that the actual mean waiting time turned out to be significantly less than the 15-minute claim made by the taxpayer advocate.
The null hypothesis would be that there is no significant difference.
H₀: μ₀ = 15 minutes
The alternative hypothesis would be that the mean waiting time is indeed significantly less than the 15-minute claim by the taxpayer advocate.
Hₐ: μ₀ < 15 minutes.
This is evidently a one tail hypothesis test (we're investigating only in one direction; less than the claim). Hence, we can use the z-test
z = (x - μ)/σₓ
σₓ = (σ/√n) = (11/√50) = 1.556
z = (13 - 15)/1.556 = - 1.29
Using the z-table at significance level of 0.05.
p-value = 1 - 0.9115 (from the z-tables)
p-value = 0.0885
Since the p-value is more than the significance level (0.0885 > 0.05), we do not reject the null hypothesis.
Hence, we accept the null hypothesis and can conclude that the mean waiting time is not significantly less than the the 15 minute claim by the taxpayer advocate.
Hope this Helps!!!
Answers:
1, 6, 36, 216: Geometric
12, 4, -4, -12: Arithmetic
1, 2, 8, 64: Neither
-216, -72, -24, -8: Geometric
Explanations:
Arithmetic Sequence: Every number in the sequence is either added or subtracted by the same number. We know that 12, 4, -4, -12 is arithmetic because each number in the sequence is subtracted by 8.
Geometric Sequence: Every number in the sequence is either multiplied or divided by the same number. We know that 1, 6, 36, 216 is geometric because each number in the sequence is multiplied by 6. We also know that -216, -72, -24, -8 is geometric because each number in the sequence is being divided by 3.
Neither: 1, 2, 8, 64 is neither because it is not being added, subtracted, multiplied, or divided by the same number.
I hope this helped!
