Answer:
Based on the confidence interval, Sheldon's claim is plausible
Step-by-step explanation:
The number of customers in the sample, n = 620 customers
The number of customers that replied that they had moved at least once in the last five years = 201 (32.4%)
The 90% confidence interval for the sample = (0.293, 0.355)
Let 'p' represent the proportion of all customers who have moved in the past five years
The proportion of customers Sheldon claimed have moved in the past five years, p > 1 in 4 (0.25)
The proportion Zachary urges Sheldon to claim is, p > 1 in 3 (0.)
Given that the lower estimate of the confidence interval is 0.293 (>0.25) and upper bound of the confidence interval is 0.355 (> 0.), and that 0.26 in also more than 1 in 4 but less than 0.293, but however that 0.293 which is within the 90% confidence interval is less than 0. or 1 in 3, as opposed to what Zachary urges Sheldon to claim, Sheldon's claim is more plausible.
If I were you I would go onto Desmos and graph these two equations
Answer:
The third answer
Step-by-step explanation:
Rate of change is slope which is 10 for the first one and you can use rise over run to find slope for the graph
Set x equal to the amount of money Kim gets, and y for Molly's money.
x = 2/5y, since the ratio is 2:5.
y = 105 + x, since Molly has 105 more pounds than Kim.
Substitute x into this equation, so that y = 105 + 2/5y. Subtract 2/5y from both sides to get 3/5y = 105. Divide each side by 0.6 (equivalent to 3/5) and you get y = 175, which is how much Molly has. Kim gets 2/5 of Molly's share (or 105 fewer pounds), so she has 70.
70 + 175 (Kim and Molly's shares) is equal to 245. Therefore, Laura receives the remaining 140 pounds.
140/385 = a/100
Cross multiply so that 385a is 14000. Divide by 385 to get 36.4 (rounded).
Thus, Laura receives about 36.4% of the total money. Hope this helps (: