Answer:
Probability that all winner are men = 0.0035 (Approx.)
Step-by-step explanation:
Given:
Number of women = 50
Number of men = 26
Total number winner = 5
Find:
Probability that all winner are men
Computation:
Total competitor = 50 + 26 = 76
Probability that all winner are men = 26/76 x 25/75 x 24/74 x 23/73 x 22/72
Probability that all winner are men = 7,893,600 / 2,216,980,800
Probability that all winner are men = 0.0035 (Approx.)
The equation for a line is y=mx+b
m is the slope, so when a line is perpendicular to another line is has a slope which is an opposite reciprocal, so change the -1/2 (the slope of the other line) to 2/1 or just 2
so m=2
now you need to plug in the point they give you for x and y
y=mx+b
4=2(4) + b
simplify
4=8 + b
subtract 8 over
-4 = b
now that you know that slope (m) and the y-intercept (b) you can plug those two numbers into the original equation for the answer
y= 2x -4
Answer:
40 % increase
Step-by-step explanation:
New price - original price
42-30 = 12
Divide by original price
12/30 = .4
Change to a percent
.4 * 100
40%
40 % increase
First, it says to simplify the expression, so you should try that first.
Simplified Expressions:
8y^15 and 36y^7
Then compare on which simplified expression has the greater exponent
8y^15 and 36y^7
8y^15 has the greater exponent
8y^15 = (y^9)(2y^2)^3 (Or the first expression)
The exponents of expression #1 are greater than the exponents of expression #2
Answer:
<u>The coordinates of the vertex is:</u>
Horizontal leg = x, vertical leg = 20/29, hypotenuse = 1 (radius of unit circle)
- csc θ = hypotenuse / opposite = 1 / (20/29) = 29/20
- cos θ = adjacent / hypotenuse = (21/29) / 1 = 21/29
- cot θ = adjacent / opposite = (21/29) / (20/29) = 21/20
