Answer:
Step-by-step explanation:
Let x represent the number of pennies that Al had initially.
He agreed to give six thirteenths of his pennies to Bev. It means that the number of pennies that he gave to Bev is 6/13 × x = 6x/13
if she would give six thirteenths of what she got from Al to Carl, it means that the number of pennies that Carl received is 6/13 × 6x/13 = 36x/169
if Carl in turn would give six thirteenths of what he got from Bev to Dani and Dani received 2376 pennies, it means that
6/13 × 36x/169 = 2376
216x/2179 = 2376
216x = 2376 × 2179
216x = 5220072
x = 5220072/216
x = 24167
AI had 24167 pennies initially
Answer:
within ±1.96 standard deviations of the sample mean
Step-by-step explanation:
A 95% confidence interval is found using the formula C = 1 - α, and some other stuff, but let's focus on that for now. Using the formula:
.95 = 1 - α
α = .05
If α = .05, that means a 2-sided confidence interval would be found using the sample mean and the Z-score Z(subscript α/2), or Z.₀₂₅ because α AKA .05 divided by 2 = .025. From there, you take this either to your calculator or a Z-table (or perhaps you have a chart that lists the common CI values), and see that for the area to be .025 beneath a standard normal curve, your Z value is ±1.96 ("plus or minus" because we're considering a 2-sided confidence interval).
Answer:
The number of cases prior to the increase is 50.
Step-by-step explanation:
It is given that the number of measles cases increased by 13.6% and the number of cases after increase is 57.
We need to find the number of cases prior to the increase.
Let x be the number of cases prior to the increase.
x + 13.6% of x = 57



Divide both the sides by 1.136.



Therefore the number of cases prior to the increase is 50.
Answer:
Step-by-step explanation:
x-2 and y+5. Hope this helps.
Answer:
d
Step-by-step explanation:
what he baked on saturday plus what he baked on sunday equals what he baked in all