Answer:
13
Step-by-step explanation:
-12-(-25)=13
to check -25+13=-12
Alright so, the angle AHI and J are actually the same. So they're both going to be 63 degrees
Knowing that, now you have to find the 3rd angle
All triangles angles add up to 180
63+45+x=180
108+x=180
-108 -108
72=x
Answer:
400+4n ≥ 750; The club will need to raise an average of $87.50 or more per month.
The answer to this expression is 40. Why? Well, we can use PEMDAS in this expression.
P: Parenthesis
So this is our first step:
28 / 4 = 7
Next step: Simplify.
7 + 3 + 6 x 5
Then: E stands for Exponents but we have none so we can move on.
M stands for Multiply so we have our next step:
6 x 5 = 30
Now: Simplify.
7 + 3 + 30
Now that we have a simple equation, we can add the values to get our answer.
7 + 3 = 10
10 + 30 = 40
Therefore, your answer is 40. Whenever you see problems like this, be sure to use PEMDAS for a faster and more accurate evaluation.
Your final answer: 40.
<span>a) Suppose that the standard deviation of the population is known to be sigma = 4.5 kg. What is sx, the standard error of x?
</span>δx = δ/√n = 4.5kg / √24 = 4.5kg / 4.90 = 0.918
<span>b) Give a 95% confidence interval for the mean of the population from which the sample is drawn.
_
x + z * </span>δ/√n where z* = 1.96 for the 95% confidence interval
_
x = <span>Σx / n = 1483/24 = 61.79
61.79 + 1.96(0.918) = between 59.99 kg and 63.59 kg
</span><span>c) Are you quite sure that the average weight of the population of runners is less than 65 kg?
Based on my computation, 65 kg is above the 95% confidence interval. Thus, the average weight of the population of runners is less than 65 kg.</span>
