1. By definition, the sum of the Suplementary angles is 180° and the sum of the Complementary angles is 90°. Keeping this on mind, you have:
90-x (The complement of the angle)
180-x (The sumplement of the angle)
"x" is the angle that you want to calculate.
2. Then, you have:
3(90-x)+30=180-x
(270-3x)+30=180-x
300-3x=180-x
300-180=-x+3x
120=2x
120/2=x
x=60°
<span>
What is the measure of the angle?</span>
The answer is: The measure of the angle is 60°.
Answer:
ways
Step-by-step explanation:
Since 1 task can be assigned to 1 person, we can start by assigning people to the task. There are 15 different task, so at the first task there are 8 choices, at the 2nd task there are also 8 choices, and so on. There's also the fact that these tasks are all different.
Therefore the total number of way to assign 8 people to 15 tasks is
ways
The bakery start with 2954 cherry
<em><u>Solution:</u></em>
Given that,
A bakery made 26 cherry pies, using 115 cherries for each pie
So they used 115 cherry for each pie
26 cherry pies, 115 cherry per pie
Therefore,
Number of cherries used = 26 x 115 = 2990 cherries used
They threw away 36 cherries that were bad
36 cherry were bad
2990 - 36 = 2954
Thus they start with 2954 cherries
Answer:
Step-by-step explanation:
4.5 miles
Answer:
standard error = 1.63
Step-by-step explanation:
To calculate the standard error we need to know the standard deviation (σ) and the sample size (n) (see the attached formula).
To obtain the standard deviation we use the given sample variance of 77.4 years:
σ²= variance
Therefore:
σ = √77.4 = 8.8
Now we can calcuate the estimated standard error:
standard error = σ /√n = 8.8/√29 = 1.63
The standard error gives us an estimation about how far the mean of the sample is from the mean of the entire population, and in this case is 1.63.