Division property of equality.
Answer:
0.8333
Step-by-step explanation:
Given that a group of statistics students conducted a random sample of 64 students at their college.
Their findings showed that the sampled students studied an average of 15 hours per week with a standard deviation of 5 hours
i.e we have
sample size =
Standard deviation of sample s =
By central limit theorem we have sample mean will follow a normal distribution with mean = sample mean and std error = std deviation /square root of n.
Substitute the values to get
Standard error of means =
Answer:
Y= 2x + 10
Y= 4/3 x + 7 2/3
For the first equation with points (3,-4) and m there are three values that we can plug into the equation y=mx + b to find the missing value in this situation, the y-intercept.
First, write the equation with the given values and you should have something like this:
-4 = 2(3) +b
The only value that hasn't been discovered yet is b so we solve the equation appropriately to get our value.
-4 = 6+ b
-10= b
And now that we know that the value of b is -10 we can plug -10 into the equation and get the equation Y= 2x + 10
Now for the second, we complete the same steps. We know that we have the points and the slope and subsequently plug it into the equation and receive our answer( for the y-intercept).
1= -5(4/3) +b
1= - 6 2/3 + b
7 2/3 = b
Once we see that the value of b is 7 2/3 we plug it into the equation and get Y= 4/3x + 7 2/3
Feel free to ask any questions and I am welcome to criticism
Answer:
Step-by-step explanation:
Here, given :
sin 2 x - 2 sin x = 2 .... (1)
Now, by <u>TRIGONOMETRIC IDENTITY</u>:
Sin 2Ф = 2 SinФ CosФ
⇒ sin 2 x = 2 sin x cos x
Putting back the value in (1), we get:
sin 2 x - 2 sin x = 2 ⇒ (2 sin x cos x) - 2 sin x = 2
or, 2( sin x cos x - sin x) = 2
or, sin x cos x - sin x = 1
or, (sin x) ( cosx - 1) = 1
⇒ Sin x = 1 / ( Cos x - 1)
Hence,
There are 2 triangles here. You have to drop an altitude and determine the length of it. You can use the fact that sin45 = h/5 (h is the height) and get that the height is 3.5. The rule then is if h is smaller than b which is in turn smaller than c, you have 2 triangles. This is the case of the ambiguous triangle, that SSA that you cannot use to prove congruency. The rules are very particular for whether or not 0, 1, or 2 triangles exist. Learn them.