Arc length = 2 π R (C/360)
where:
C is the central angle of the arc
R is the radius of the arc
arc length = 2 π R (137/360) = 2.39R
First, we should find how many total milliliters we have by multiplying 250 mL by 10 servings to get 2500 mL. Then, we can convert 2500 mL to liters because 1000 mL equals 1 liters (2500/1000=2.5 L). Then since the bowl can only have 2 liters of punch, then 10 servings will not fit.
Hope this helps
You can write this as a ratio to find the answer, but you first need to convert the gallon of white paint into ounces, which is 160 ounces. The ratio, red to blue to white, is 4:28:160, which you can simplify by dividing by 4 into 1:7:40. If 80 ounces of red tint are used, you need to multiply each value in the ratio by 80, which gives you 80:560:3200. This shows that you need 560 ounces of blue tint, which can also be written as 3.5 gallons. I hope this helps!
Answer:
and
are parallel.
is neither parallel nor perpendicular.
Step-by-step explanation:
First, you have to simplify each equation in terms of y.

Your first equation is already in terms of x, so simplify your second equation.

Now you can simplify your third equation.

These are your three equations in terms of y:

Now, all you have to know is how to tell using your slope if a line is parallel or perpendicular to another.
Two parallel lines will have the exact same slope.
Two perpendicular lines will have slopes which are opposite reciprocals. For example, a line with a slope of 2 is perpendicular to a line with a slope of
, as they have opposite signs and are reciprocal (2/1 versus 1/2) to each other.
Your first two equations have the same slope and are therefore parallel.
Your third equation is a reciprocal, but it is not opposite, and is therefore not parallel nor perpendicular.
Answer:
Type 1 error:
D)Reject the null hypothesis that the percentage of high school students who graduate is equal to 55 % when that percentage is actually equal to 55 %.
Type 2 error:
B,)Fail to reject the null hypothesis that the percentage of high school students who graduate is equal to 55 % when that percentage is actually less than 55 %.
Step-by-step explanation:
When something that is true, is been rejected, then it's reffered to as Type I, on the other hand when
Whensomething that is false is been failed to be rejected then it's reffered to as that is Type II
Type I ;
This is to reject Hypothesis when Hypothesis is true, i.e rejecting of the null when it's true.
For instance from the question,
The percentage of high school students who graduate is equal to 55%. Then to get the Type1 , One would say the percentage of high students who graduated is not 55% when it is in actual sense
Type II ;
This is happen when we accept a false null hypothesis which means it takes place when We fail to reject Hypothesis when it is False.
For instance, from the question which says The percentage of high school students who graduate is equal to 55%. Then for type II to occur One would say it is 55% when it is really not 55%.