Step-by-step explanation:
0.92×10^3
I think it helps you
Answer:
m + n = 26 and n = 2m + 5
m = 7, n = 19
Step-by-step explanation:
Because we know that the sum of m and n is 26, we get the first equation. For the second equation, we are told that n is five more than twice m. So we multiple m by 2 and then add 5 to that to get what n is. This is our second equation.
We plug the second equation in for n in the first equation to get
m + (2m + 5) = 26
3m + 5 = 26
3m = 21
m = 7
And then for n, we solve the first equation to get
7 + n = 26
n = 19
<h3>Answer:</h3>
<h3>Explanation:</h3>
When events are independent the probability of one does not depend on the other.
Here the probability of liking peas overall is 39%, but the probability of liking peas if you're male is 42%. That is, the probabilities are not the same, so the events are dependent.
_____
<em>Comment on answer choices</em>
Selections B and C are both "Dependent," so are correct in that aspect. However, the "reason" given for B has a bogus number (54%) for males liking peas. We have no idea where that number came from. C has the correct reason, so is the appropriate selection.
Answer: the rate at which Jerri runs on level ground is 6 mph
Step-by-step explanation:
Let x represent the rate at which Jerri runs on level ground.
Jerri figures that she runs 2 miles per hour faster downhill than she runs on level ground. This means that the speed at which she runs downhill is (x + 2) mph
Time = distance/ speed
Four miles of the course is downhill. This means that the time it takes her to run downhill is
4/(x + 2)
Whereas the other 3 miles is on level ground. This means that the time it takes her to run on level ground is
3/x
Jerri jogs 1 hour each day over the same 7-mile course. This means that
4/(x + 2) + 3/x = 1
Cross multiplying by x(x + 2), it becomes
4x + 3(x + 2) = x(x + 2)
4x + 3x + 6 = x² + 2x
x² + 2x - 4x - 3x - 6 = 0
x² - 5x - 6 = 0
x² + x - 6x - 6 = 0
x(x + 1) - 6(x + 1) = 0
x - 6 = 0 or x + 1 = 0
x = 6 or x = - 1
Since the speed cannot be negative, then x = 6 mph
7 + 14 + 21 + ... + 105 =
= 7(1 + 2 + 3 + ... + 15)
= 7(15)(16)/2
= 840