Answer: she would catch up with Tom in 1 hour.
Step-by-step explanation:
Let t represent the time it will take for Mary to catch up with Tom.
Tom leaves his boat from a dock and travels at a rate of 25 miles per hour.
Distance = speed × time
Distance travelled by Tom in t hours is
25 × t = 25t
Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. Converting 10 minutes to hours, it becomes 10/60 hour
Time spent by Mary is (t - 10/60) hours. If she travels at a rate of 30 miles per hour, it means that the distance that she would travel in
(t - 10/60) hours is
30(t - 10/60)
= 30t - 5
By the time she catches up with Tom, they would have covered the same distance. It means that
25t = 30t - 5
30t - 25t = 5
5t = 5
t = 5/5 = 1 hour
<span>f(x)=âš(4x+6)
g(x)=âš(4x-6)
This is what we are given to work with, originally. Now, for the next part, we are asked to add the functions f(x) and g(x) together - and this is just what you do! You add the functions together, and then combine like terms.
(f+g)(x)=âš(4x+6)+âš(4x-6) --> âš(8x) + 6 - 6 :: and the 6's cancel each other, while the root 4x's add... and you have...
(f+g)(x)=âš(8x)
Thank you very much.</span>
Answer:
We conclude that the Pennsylvania school district have an IQ higher than the average of 101.5
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 101.5
Sample mean, 
= 106.4
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 15
First, we design the null and the alternate hypothesis
We use one-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We reject the null hypothesis and accept the alternate hypothesis.
Thus, we conclude that the Pennsylvania school district have an IQ higher than the average of 101.5
260 bagels in 10 hrs.....260/10 = 26 bagels per hr <== unit rate
if they can bake 26 bagels per hr.....in 24 hrs, they can bake (24 * 26) =
624 bagels
Answer:
B
Step-by-step explanation:
