Answer:
Step-by-step explanation:
The diameter of each curved path is 200 feet. Since the two curved semi circular paths are equal, they would form a circle. It means that the distance around the two semi circular paths would be the circumference of the circle. Formula for determining the circumference of the circle is π × diameter. It becomes
200 × 3.14 = 628 feet
Total distance around the track would be
300 + 300 + 628 = 1228 feet
5280 feet = 1 mile
1228 feet = 1228/5280 = 0.23 mile
If he runs around the track exactly 15 times, it means that the number of miles covered is
0.23 × 15 = 3.45 miles
Since he will collect $4.50 for every mile he runs, the amount of money that he collected is
4.5 × 3.45 = $15.5
Answer:
Mininum value of K is 220
Step-by-step explanation:
400 people has a "yes" answer for the first question and 220 people has a "yes" answer for the second question
There is a possibility that 220 out of the 400 people that has a "yes" answer for the first question also has a "yes" for the second question
Therefore, the minimum number of people that has two "yes" answer (K) is 220
Answer:
Step-by-step explanation:
The angles would be supplementary
45 + 5x + 35 = 180
5x + 80 = 180
5x = 100
x = 20
To find out why they are supplementary, refer to the transversal below
∠3 = ∠7 (corresponding angles)
∠8 = 180 - ∠7 (supplementary angles)
And since ∠7 = ∠3...
∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)
Answer:
a. Yes. This provides convincing evidence that the true proportion of all attendees who ate the fish that got sick (80%) is more than the true proportion of all attendees who did not eat the fish that got sick.
b. The mistake here would have been the rejection of the Doctor's theory or hypothesis to the effect that more attendees who ate the fish got sick than those who did not eat the fish. This is a Type 1 error. A Type 1 error occurs when a null hypothesis is rejected when it is true. On the other hand, a Type II error occurs when the null hypothesis is accepted when it should be rejected. While a Type I error is equivalent to a false positive, a Type II error is equivalent to a false negative.
Step-by-step explanation:
Total number of attendees who ordered fish = 1,000
Sample size of the attendees who ate fish = 80
Number of attendees who ate the fish and got sick = 64 (80% or 64/80)
Sample size of attendees who did not eat fish = 60
Number of attendees who did not eat fish and got sick = 39 (65% or 39/60)