Answer:
x=48°
Step-by-step explanation:
We two lines cross over each other, making four angles, the angles opposite each other are equal. They're called vertically opposite angles.
Assume that the rule connecting height of the candle to time is a linear one. If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.
Two points on this line are (6,17.4) and (23, 7.2). The slope is thus
7.2-17.4 -6
m = --------------- = ----------- or -3/5.
23-6 10
Find the equation of the line. I'm going to use the slope-intercept formula:
y = mx + b => 7.2 = (-3/5)(23) + b. Solving for b, b = 21.
Now we know that y = (-3/5)x + 21
Let x=11 to predict the height of the candle at that time.
y = (-3/5)(11) + 21 = 14.4 inches (answer)
Answer:
3, 7
Step-by-step explanation:
We have x = 4 repeating itself
If we graph the two points (4,1) and (4,20), then we see the relation fails the vertical line test.
The input x = 4 leads to more than one output y = 1 and y = 20 simultaneously.
This is why we don't have a function.
Answer:
Step-by-step explanation:
Given that sample size = n=45
mu = 64 and sigma =14
a) Sample mean will follow a normal distribution irrespective of the original distributions provided
i) samples are randomly drawn
ii) samples represent the population
iii) Sample size is sufficiently large
b) Here we have sample std dev= 
c) 
