That point does not satisfy either inequality.
You can tell it does not satisfy the first portion, due to it being under the shaded line. Secondly, the dotted line goes through it, but that fact that it is dotted makes it not included.
Answer:
Step-by-step explanation:
Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.
Therefore, we now have two inequalities to solve for:
125-u ≤ 30
u-125≤30
For the first one, we can subtract 125 and add u to both sides, resulting in
0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.
The second one can be figured out by adding 125 to both sides, so u ≤ 155.
Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,
u ≥ 95
and
u ≤ 155
combine to be
95 ≤ u ≤ 155, or the 4th option
Answer:
A 95% confidence interval is a range of values that you can be 95% certain contains the true mean of the population. ... The 95% confidence interval defines a range of values that you can be 95% certain contains the population mean.
Step-by-step explanation:
hope that helps
Based on the information given the chocolates stated on the label is 0.0042-ounce lighter.
Weight:
Using this formula
Chocolate weight=Current weight-Actual weight
Where:
Current weight=0.384
Actual weight=0.3798
Let plug in the formula
Chocolate weight=0.384-0.3798
Chocolate weight=0.0042 ounce
In conclusion, the chocolates stated on the label are 0.0042-ounce lighter.
Answer:
The correct answer is 10 units.
Step-by-step explanation:
Profit function of a small business is given by P(x) = 0.3
+ 7x - 40, where x is the number of units sold.
The small business intend to make a profit of $60.
To find out the number of units the business has to sell in order to have a profit of $60 is given by,
P(x) = 0.3 + 7x - 40 = 60
⇒ 0.3 + 7x - 100 = 0
⇒ 3 + 70x - 1000 = 0
⇒ x = -70 ± 
× 
⇒ x = -70 ± 130 ×
⇒ x = 10 or -
Quantity sold cannot be negative giving us the value of x as 10 units.
