Answer:
0.336
Step-by-step explanation:
Use binomial probability:
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
Here, n = 8, r = 7, p = 0.8, and q = 0.2.
P = ₈C₇ (0.8)⁷ (0.2)⁸⁻⁷
P = 0.336
Answer: y - 5 = -5/6 (x - 18)
Step-by-step explanation:
The point-slope form of a linear equation is written using the slope of the line and one point in the line. From part A, the slope of the line representing this situation is m = -5/6.
Since x represents the number of 10-student groups and y represents the number of 12-student groups, the combination of 18 groups of 10 students and 5 groups of 12 students is represented by the point (18,5).
Answer:
She gained 5 points in overall
Step-by-step explanation:
Shana lost points for each wrong question = 2
So, She lost points for 5 wrong questions =
She lost points for 5 wrong questions = 10 points
Now, She gained points for each correct question = 5
So, She gained points for 3 correct questions =
She gained points for 3 correct questions =15
So, Overall gain = 15-10 = 5
She gained 5 points in overall
Hence the total number of points gained by her is 5 points
9514 1404 393
Answer:
Step-by-step explanation:
These "special" right triangles have side length ratios that it is useful to remember.
<u>45°-45°-90° triangle</u>
Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.
x = 18√2
<u>30°-60°-90° triangle</u>
Shortest to longest, sides have the ratios ...
1 : √3 : 2
That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.
y = 18√3
z = 2·18 = 36
