Answer:
Nina's speed in MPH: 12.706 miles per hour
Nina is quicker than Sophia.
Step-by-step explanation:
To solve this problem, we will convert feet per second to miles per hour and subsequently compare Nina's speed to that of Sophia's.
Nina rides at 63360 feet in 3400 seconds. To perform this conversion, we know that there are 5280 feet in a mile and 3600 seconds in an hour. Applying these conversions, we can calculate the speed in miles per hour.
(63360 feet / 3400 seconds) * (1 mile / 5280 feet) * (3600 seconds / 1 hour) = 12.706 miles per hour.
Thus, it follows that Nina rides her bike at a rate of 12.706 miles per hour, whereas Sophia rides her bicycle at a rate of 10 miles per hour.
This indicates that Nina rides faster than Sophia by 2.706 miles per hour (12.706 - 10).
Cheers.
Question:
Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q
Answer:
The correct option is c: p → q
Explanation:
Option a: p ∨ q
p ∨ q indicates that either p is true, or q is true, or both hold true.
Therefore, Option a is not the right answer.
Option b: p ∧ q
p ∧ q signifies that both p and q are true.
Thus, Option b is not the correct choice.
Option c: p → q
p → q means if p is indeed true, then q must also be true.
So, Option c is the right choice.
Option d: p ↔ q
p ↔ q implies that if p holds true, then q is true, and vice versa.
Thus, Option d is not the correct option
.
Therefore, p → q is the accurate option.
Response with clarification:
Let p denote the proportion of adults in the town who have encountered this flu strain.
According to the provided information
∵ 
this is a two-tailed test.
Test statistic:
, where p= denotes the population proportion
= signifies the sample proportion
n= represents the sample size
Setting n= 6 and 
and p=0.08
P-value for the two-tailed test:[2P(Z>|z|)
=2P(Z>|-0.415|)
=2P(Z>0.415) = 2[1-P(Z≤0.415)] [∵ P(Z>z)=1-P(Z≤z)]
=2(1-0.6609) [from the z-table]
=0.6782
Decision: Because the p-value(0.6782) exceeds the significance level of 0.01, we do not reject the null hypothesis.
This leads us to conclude that there is insufficient evidence to back the assertion that the percentage of all adults in this town exposed to this flu strain deviates from the national average of 8%.
18
He can combine one hat with a scarf, resulting in 18 different combinations for Sam when multiplying 6 by 3.
