N = 4.2m
Sorry for my bad writing but this is the explanation and answer.
Answer:
The answer is x= -5 1/4
Step-by-step explanation:
Let's solve your equation step-by-step.
2/3x−4 1/2=−8
Step 1: Simplify both sides of the equation.
2/3x+−9/2=−8
Step 2: Add 9/2 to both sides.
2/3x+−9/2+9/2=−8+9/2
2/3x=−7/2
Step 3: Multiply both sides by 3/2.
(3/2)*(2/3x)=(3/2)*(−7/2)
x=−21/4
Answer:
x= −5 1/4
<h3>
Answer: Choice C</h3>
{x | x < -12 or x > -6}
=========================================================
Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
Answer:
13.92
Step-by-step explanation:
We have that the critical z-score associated with 85% to the left is 1.04, we know that by table.
So we have to:
m + z * (sd) = 16
where m is the mean, z is the critical z-scor and sd is the standard deviation, if we replace we are left with:
m + 1.04 * (2) = 16
m = 16 - 1.04 * (2)
m = 13.92
Therefore, the average weight if 85% of cucumbers weigh less than 16 ounces is 13.92