Answer:
m = 8
Step-by-step explanation:
-2(5 + 6m) + 16 = -90
Start by distributing -2 inside the parentheses. This means you will multiply everything inside the parentheses (5 + 6m) by -2.
-10 - 12m + 16 = -90
Simplify the left side of the equation by combining like terms.
6 - 12m = -90
Subtract 6 from both sides of the equation to isolate the term containing the variable m and to move all other terms to the other side (right) of the equation.
-12m = -96
Divide both sides of the equation by -12 to isolate and solve for m.
m = 8
2.5 weighs more. It’s a greater number than 2.48
Answer:
a) 
With:
b) 
c) 
d) 
Step-by-step explanation:
For this case we know the following propoertis for the random variable X
We select a sample size of n = 81
Part a
Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:
With:
Part b
We want this probability:
We can use the z score formula given by:
And if we find the z score for 89 we got:
Part c
We can use the z score formula given by:
And if we find the z score for 75.65 we got:
Part d
We want this probability:
We find the z scores:
Answer:
The solution set is: x>36
Step-by-step explanation:
We are given that we have to subtract 3 times of some number 'x' from 18 such that the resulting equation is less than -90.
this means that : 18-3x<-90
on solving the inequality by adding 3x on both side and adding 90 on both side we get that
108<3x
now on dividing both side by 3 we get that
x>36
Hence our solution set is: x>36
