Answer: The probability that you select a women who passes is 1/2.
First, let's look at the men. 21 of the 84 test takers were men. If the ratio is 5:2 for failing. Then, 15 failed and 6 passes.
Second, let's look at the women. 63 of the test takers were women. If double the number passed, then 42 passed and 21 failed.
The chances that a random person was a women who passes is 42 out of 84 or 1/2.
Answer: 2y + 3x - 16 = 0
Step-by-step explanation:
Equation of the line is y = 2x/3 - 5
From the equation , the slope m₁ = 2/3. therefore recall, from condition for perpendicularity, m₁m₂ = -1
The product of their gradient must be (-1).
Now since m₁ = 2/3 and m₁m₂ =-1
2m₂/3 = -1
Therefore , m₂ = -3/2.
Since the equation passes through the coordinate of (6,-1)
we now substitute for x and y in the equation of a line to get the y intercept (c)
y = mx + c
-1 = -3x/2 +c
-1 = -3/2 x 6 + c
-1 = -9 + c
-1 + 9 = c
Therefore c = 8
Now to get the equation of line that is perpendicular to y = 2x/3 - 5
y = -3x/2 + 8
making it a linear equation,
2y = -3x + 16
2y +3x - 16 = 0
Answer:
430.80 centimeters
Step-by-step explanation:
4% of 52, since that's 4/100 x 52, not one fourth of it
Answer:
P ( 1.2 < X < 2.1 ) = 0.3
Step-by-step explanation:
Given:
Uniform distribution over interval (0,3) can be modeled by a probability density function f(x)
f(x) = 1 / (b - a)
Where a < x < b is the domain at which function is defined:
f(x) = 1 / (3) = 1 / 3
Where, X - U ( u , δ )
u = ( a + b ) / 2 = (0 +3) / 2 = 1.5
δ = ( b - a ) / sqrt (12) = (3 - 0) / sqrt (12) = 0.866
Hence,
X - U ( 1.5 , 0.866 )
There-fore calculating P ( 1.2 < X < 2.1 ):
Where, a = 1.2 and b = 2.1
P ( 1.2 < X < 2.1 ) = x / 3 |
P ( 1.2 < X < 2.1 ) = 2.1 /3 - 1.2 / 3 = 0.3
Answer: P ( 1.2 < X < 2.1 ) = 0.3
