Answer:
7/9
Step-by-step explanation:
In order to write the fraction without any units (as a pure number), we must have units in the numerator and denominator that are the same. Then the units cancel.
<h3>Convert to gallons</h3>
We are given the conversion ...
4 quarts = 1 gallon
Multiplying by 7, we see ...
28 quarts = 7 gallons
<h3>Ratio</h3>
This lets us write the desired fraction as ...
(28 quarts)/(9 gallons) = (7 gallons)/(9 gallons) = 7/9
The ratio in simplest form is 7/9.
Answer:
B. Sine.
Step-by-step explanation:
We need to find the value of x which is opposite to the given angle (50 degree). Also we are given the length of the hypotenuse.
Sine = opposite / hypotenuse so we would use the sine.
Its worth committing this mnemonic to memory, which helps to find the required trig ratio:
SOH-CAH-TOA.
SineOpposite/Hypotenuse- CosineAdjacent/Hypotenuse-TangentOpposite/Adjacent.
This is not possible. Why not? Because the smallest the variance can get is 0.
Recall that 's' represents the standard deviation, so s^2 is the variance. It basically measures how spread out the values are. The higher the variance, the more spread out the data. You can think of it as "average distance from the mean". If the variance is 0, then all of the values are at the same point. So you could have a list like {2,2,2,2,2} which has variance 0. We cannot get any smaller variance than that. If your teacher insists all the values in the list are different, then the variance will be greater than 0.
Answer:
x=-17/5
Step-by-step explanation:
1. Simplify -6x-3x+4+4x−6x−3x+4+4x to -5x+4−5x+4.
21=−5x+4
2. Subtract 44 from both sides.
21−4=−5x
3. Simplify 21-4 to 17.
17=-5x
4. Divided both sides by -5.
-17/5=x
5. Switch sides.
x=-17/5
Hope this helps.
