Step-by-step explanation:
-5x < 25
Divide both sides by the coefficient of -5
-5x/-5 < 25/-5
x > -5
when you divide both sides by a negative number in inequality, the sign changes to the opposite. for example < changes to >
Answer:
-4
Step-by-step explanation:
Answer:
They are both the same at 3/4 of an hour
Step-by-step explanation:
We have a system of equations here. The first one is for Friday:
3A + 5B = 6, which says that 3 people at the number of hours for plan A plus 5 people at the number of hours for plan B equals 6 hours total.
The second equation is for Saturday:
9A + 7B = 12, which says that 9 people at the number of hours for plan A plus 7 people at th number of hours for plan B equals 12 hours total.
We can solve this easily using the addition/elimination method. Begin by multipying the first equation through by a -3 to eliminate the A's. That gives you a new first equation of:
-9A - 15B = -18
9A + 7B = 12
You can see that the A's are eliminated, and adding what remains leaves us with
-8B = -6 so
B = 3/4 hour
Now we can sub that back in for B in either one of our original equations to solve for A. I changed the 3/4 to .75 for ease of multiplying:
9A + 7(.75) = 12 and
9A + 5.25 = 12 and
9A = 6.75 so
A = .75 which is also 3/4 of an hour
Answer:
bbc
Step-by-step explanation:
Answer:
We conclude that there is no change in the average weight since the implementation of a new breakfast and lunch program at the school.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 100 pounds
Sample mean, = 98 pounds
Sample size, n = 35
Alpha, α = 0.05
Population standard deviation, σ = 7.5 pounds
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
We calculate the p-value with the help of standard normal table.
P-value = 0.057398
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept is.
We conclude that there is no change in the average weight since the implementation of a new breakfast and lunch program at the school.