Answer:
(-1,5)
Step-by-step explanation:
To find this, you have to add both "x" coordinates, then divide them by two.
Same thing goes for the "y" coordinates, add them, then divide them by two.
x-coordinates ---> 2+(-4)= -2
y-coordinates ---> 1+9= 10
-2÷2= -1
10÷2= 5
That gives you, (-1,5).
Step-by-step explanation:
o2+a2=h2
100} h^{2}=(10ft)^{2} +(17ft)^{2}
h2=100ft2+289ft2
h=389ft2−−−−−√
→19.7ft
this is an example on how to do it
Answer:
B
Step-by-step explanation:
Answer:
We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 29
Sample mean,
= 30
Sample size, n = 47
Alpha, α = 0.05
Population standard deviation, σ = 5
First, we design the null and the alternate hypothesis
a) This is a one-tailed test because the alternate hypothesis is in greater than direction.
We use One-tailed z test to perform this hypothesis.
b)
, we reject the null hypothesis and accept the alternate hypothesis and if
, we accept the null hypothesis and reject the alternate hypothesis.
c) Formula:
Putting all the values, we have
d) Now,
Since,
We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.
e) P-value is 0.0853
On the basis of p value we again accept the null hypothesis.
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3>
</h3>
To solve this exercise you need to use the following formula to find the Arc lenght:

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.
In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

Therefore, knowing these values, you can substitute them into the formula:

And finally,you must evaluate in order to find the Arc lenght.
You get that this is:
