Given:
The inequality is:

To find:
The inequality after isolating the y-term.
Solution:
We have,

On simplification, we get


Subtracting 2 from both sides of the above inequality, we get


Therefore, the required inequality is
.
Option A because the whole triangle equals 180 degrees so as long as your option plus the numbers in the triangle equal 180° you will get it right
It's helpful to choose letters to represent the measures of these complementary angles. Let x represent one and y the other.
What does "complementary angle" mean? x + y = ??
Let x be the smaller angle. First, we take "half the measure of the larger angle," or (y/2). Then we subtract 6 degrees from this result (y/2). The result is the xmaller angle, x.
Now you have two equations in x and y. Solve for one of these angles, and then find the other. Please show your work.
Answer:
<u>The correct answer s B. 2.21</u>
Step-by-step explanation:
There are three steps to calculate the standard deviation of the set of data given.
n = 5 (5 numbers in the set)
1. Calculate the mean, this way:
(1.2 + 2.3 + 5.2 + 6.6 + 4.8)/5 = 20.1/5 = 4.02
μ = 4.02
2. Calculate the variance, this way:
Sum of the squared difference between each number of the set and the mean divided by the number of elements of the sample minus one.
[(1.2 - 4.02)² + (2.3 - 4.02)² + (5.2 - 4.02)² + (6.6 - 4.02)² + (4.8 - 4.02)²]/4 =
19.568/4 = 4.892
σ² = 4.892
3. Finally, the standard deviation. this way:
Standard deviation is the square root of the variance.
σ² = 4.892
√σ² = √4.892
σ = 2.21
<u>The correct answer s B. 2.21</u>
Answer:
<h2>3.49 ounces</h2>
Step-by-step explanation:
Step one:
given data
total ounces combined= 8.65+8.09= 16.74 ounces
We are told that the remainder after pouring the fruits into four bowls is
2.78 ounces, hence what was divided is
= 16.74-2.78=13.96 ounces
Now the amount that was divided is 13.96 ounces
<em>hence a bowl took 13.96/4= 3.49 ounces</em>
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