Answer:
80 questions
Step-by-step explanation:
You can write a proportion to solve this. A proportion is an equation that sets two ratios equal.
The first ratio is 60/x where x is the number of questions. The second ratio is 75/100. This is the percent you got on the test. Cross multiply to sole for x.
SOH CAH TOA tells you
... cos(B) = a/c
... 4/5 = 8/c
... c = 10 . . . . . multiply by 5c/4
By the Pythagorean theorem,
... b = √c² -a²) = √(10² -8²) = √36 = 6
The lengths of the other two sides are: b = 6, c = 10.
_____
You can tell from the value of the cosine that this is a 3-4-5 right triangle. You can tell from the value of "a" that the scale factor is 2. That means the other two sides are 6 and 10.
Should be Q, because it is more than 121, but less than 144. 121 is 9 away from 130, and 144 is 14 away. So, the answer would be
B) Q
Answer:
Step-by-step explanation:
If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.
If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes
y = k/x
When y = 0.25, x = 8
Substituting into the expression above, it becomes
0.25 = k/8
k = 0.25 × 8
k = 2
The inverse variation function is
y = 2/x
The standard deviation shows the dispersion (how close) of the data. Therefore the correct statement is A:
<span>A- Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.</span>
