Answer:
48°
Step-by-step explanation:
we know that opposite angle of parallelogram is equal
so,
angel C is equal to opposite angle H
H = 48
angle C = 48°
angle R = 132°
angle H = 48° (opposite of angle C)
angle S = 132°(opposite of angle R)
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Answer:
0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.
Step-by-step explanation:
For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
53% reported that they entered a profession closely related to their college major.
This means that 
9 of those survey subjects are randomly selected
This means that 
What is the probability that 3 of them entered a profession closely related to their college major?
This is P(X = 3).


0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.
Answer:
B.
Step-by-step explanation:
So we know right off the bat the angles ABE and CBD are congruent because of vertical angles.
Now we can look at the sides.
The ratio for 27:18 = 3:2
The ratio for 36:24 = 3:2
They check out.
That means that the answer is B. SAS
Given:
A table of values of a linear function.
To find:
The slope, y-intercept and equation of the function.
Solution:
Take any two points on the table.
Let the points are (-1, -3) and (0, -6).
Slope of the line:




m = -3
Slope of the function = -3
y-intercept of the function is the point where x = 0.
In the table y = -6 when x = 0
y-intercept = -6
Equation of a line:
y = mx + c
where m is the slope and c is the y-intercept
y = -3x + (-6)
y = -3x - 6
Equation of a function is y = -3x - 6.
Answer:
$11.34 Discounted Price Including Tax
Step-by-step explanation:
CD is $12.00
10 percent off of 12 dollars is:
12 x .10 = $1.2
12 - 1.2 = $10.8 WITHOUT TAX!!
5/100 = 0.05
0.05 x 10.8 = .54 (Tax itself)
10.8 (Discounted price) + .54 (Tax) = $11.34 Discounted Price Including Tax