100°+(4y+25)+(3y+20)=180°
100+4y+25+3y+20=180
7y+145=180
7y=35
y=5
100°; 45°; 35°
Answer: C
Step-by-step explanation:
For this problem, we need to know the standard form of a sine function and the meaning of each part.
Standard form: ![y=asin[b(x-h)]+k](https://tex.z-dn.net/?f=y%3Dasin%5Bb%28x-h%29%5D%2Bk)
a=amplitude
b=period
h=phase shift
k=vertical replacement/shifting
Now that we know the standard form and the components, we know that we can forget about k and plug in 0 for h. This would leave us with
. We know that the amplitude is 2, therefore, a=2. To find the period, you divide 2π by the given period.
, therefore, b=1/2.
[plug in a=2]
[plug in b=1/2]

Therefore, C is the correct answer.
Answer:
Throw this sample out and start over again with a better sampling method
Step-by-step explanation:
Biased sampling leads wrong results, since the sample doesn't represent the population which is aimed to be surveyed. Higher/lower confidence level or t distribution cannot correct it.
Confidence level gives the probability of rejecting null hypothesis while it is true. And t-interval is used when the sample size is small or population standard deviation is unknown.
Before choosing confidence level or type of the statistic to infer results, one must follow random sampling not biased.
Answer:

Step-by-step explanation:
<u>Modeling With Functions</u>
It's a common practice to try to mathematically represent the relation between two or more variables. It allows us to better understand the behavior of the phenomena being observed and, more importantly, to be able to predict future values.
The specific situation stated in the question relates how Taylor buys nail polish for $3.95 each, with a maximum of $30 to spend. If x is the number of nail polish purchased, then the total cost will be

But we know Taylor has a limited budget of $30, so the total cost cannot exceed that amount

Solving the inequality for x


We round down to

Of course, the lower limit of x is 0, because Taylor cannot purchase negative quantities of nail polish
Our model is now complete if the state the limits of x, or its domain

First you need to get two similar terms to eliminate, I'll do y:
-3x + 2y = 10
-4x - 2y= -10
And then you minus
x = 20
Now you can substitute x in to one of the equations to find y:
-60 + 2y = 10
+ 60
2y = 70
÷ 2
y = 35
So your values are y = 35 and x = 20. Hope this helps!