Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
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The solve a multiplication equation to find out how much each person should pay. is <span>4g=$58, g=$14.50</span>
Answer:
1. Median = 10.1
2. A. The median represents the center.
3. D. The mode(s) can't represent the center because it (they) is(are) not a data value.
Step-by-step explanation:
Mean of a sample = sum of the samples/no of the samples
Samples in increasing order:
9.8
9.8
9.9
10.1
10.4
10.6
11.1
Mode is the sample with highest frequency.
Median is the middle entry of the data.
Mean = (9.8 + 9.8 + 9.9 + 10.1 + 10.4 + 10.6 + 11.1)/7
= 717/7
= 10.243
Median = 10.1
Mode = 9.8 because it has the highest frequency of 2
Answer:
16 cups = 1 gallon
16( 28.93) = 462.88
Therefore, there are 462 cups of ice cream.
Step-by-step explanation:
Hello!
To find the volume of a cylinder, use the formula: V = πr²h.
In the formula, r is the radius, and h is height of the figure.
In the given figure, the height of the cylinder is 8 feet and the radius is 5 feet. With those values, we can find the volume of the given figure.
V = π(5)²(8)
V = π(25)(8)
V = 200π, 628.32 (multiplied by π), 628 (multiplied by 3.14)
Therefore, the volume of this cylinder is 628.32 feet cubed.
