I need to see a picture of the question so I can answer the question:)
Answer:
34 mph.
Step-by-step explanation:
Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.
Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.
Now we will use formula
. Upon using our given information we will get two equation and two unknowns as:


Upon substituting
in 1st equation we will get,

Upon multiplying both sides of our equation by 5 we will get,






Upon substituting y=170 in 2nd equation we will get,


Therefore, Charlene's speed is 34 miles per hour.
Answer:
We need a sample size of least 119
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Sample size needed
At least n, in which n is found when 
We don't know the proportion, so we use
, which is when we would need the largest sample size.






Rounding up
We need a sample size of least 119
Step-by-step explanation:
<h3> new numbers are x+4 and x-1</h3>
so, x+4/x-1=11/16
16x+64=11x-11
16x-11x=-11-64
5x=-75
x = -15
also, x+1 = -14
Caroline's soccer practice starts at a quarter after 4 P.M. And ends at 5 P.M. How many minutes does her soccer practice last?
Answer:
A quarter after 4 P.M is 4:15
So soccer practice lasts 45 minutes.
Hope that helps and good luck
~May