Answer:
3.2 miles per hour
Step-by-step explanation:
Time=75 minutes=75/60=5/4=1.25 hours
Speed=Distance/time=4/1.25=3.2 miles per hour
David's jogging rate is 3.2 miles per hour.
ANSWER
The coefficient is 70.
EXPLANATION
The given binomial expression is
The specific term of a binomial expansion can be determined using the formula,
where
We substitute these values into the formula to get,
We simplify to get,
Hence the coefficient is 70.
You can obtain information about the mean population by taking a random sample of it and taking the average of that sample. The Law of big Numbers says that the bigger the sample, the more likely we will be closer to the real mean value. In other words, the margin of error is less likely to be big.
Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
x ,y are the numbers
x = 5y-3
x+y = 27
substitute first equation into the second
(5y-3) +y =27
combine like terms
6y-3=27
add 3 to each side
6y=30
divide by 6
y=5
x = 5y-3
x=5*5-3
x=22
the two numbers are 22 and 5
