Answer:
m<x = 48
m<y = 132
Step-by-step explanation:
Since x and y are supplementary angles, that means their sum is 180 degrees.
And we are given that y is 12 less than 3 times the measure of x. With this information we can make a system of linear equations.
x + y = 180
y = 3x - 12
So now plug in the value of y into the first equation.
x + y = 180
x + (3x - 12) = 180
x + 3x = 192
4x = 192
x = 48
And then plug this computed value of x back into the first equation to find the measure of y.
x + y = 180
48 + y = 180
y = 180 - 48
y = 132
So the measures of the angles are as follows:
m<x = 48
m<y = 132
Cheers.
The empirical, or experimental, probability of an event is the number of times the event occurred over the number of times the experiment was conducted. In this case it would be 55/70 = 11/14, as there were 55 heads flipped out of a total of 70 coin flips.
Mathematically speaking, no, this is not a fair coin. To be fair, both events would have to have the same chance of happening. Since the probability of heads was 55/70, that leaves 15/70 for tails. The chances are not equal, so not fair.
Answer: I think the answer is n = 1.
the data represents the heights of fourteen basketball players, in inches. 69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 8
Daniel [21]
If you would like to know the interquartile range of the new set and the interquartile range of the original set, you can do this using the following steps:
<span>The interquartile range is the difference between the third and the first quartiles.
The original set: </span>69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82
Lower quartile: 72
Upper quartile: 76.25
Interquartile range: upper quartile - lower quartile = 76.25 - 72 = <span>4.25
</span>
The new set: <span>70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77
</span>Lower quartile: 72.5
Upper quartile: 76
Interquartile range: upper quartile - lower quartile = 76 - 72.5 = 3.5
The correct result would be: T<span>he interquartile range of the new set would be 3.5. The interquartile range of the original set would be more than the new set.</span>
Answer:
Step-by-step explanation:
Domain of the function will be,
{x ∈ R | x ≠ -2}
Range of the function is,
{y ∈ R | y ≠ -4}
Intercepts of the function,
Their are no intercepts of the given rational function.
Horizontal asymptotes:
Horizontal line parallel to x-axis representing discontinuity.
y = -4
Vertical asymptotes:
Vertical line parallel to y-axis representing discontinuity.
x = -2
No oblique asymptotes.
