Answer:
P(3) = 0.0244
P(3) = 2.44%
the probability that all three selected have driven while under the influence of alcohol is 2.44% or 0.0244
Step-by-step explanation:
Given;
The probability that they have driven while under the influence of alcohol is;
P = 29% = 0.29
the probability that all three selected have driven while under the influence of alcohol is;
P(3) = P × P × P
P(3) = 0.29 × 0.29 × 0.29
P(3) = 0.024389
P(3) = 0.0244
P(3) = 2.44%
the probability that all three selected have driven while under the influence of alcohol is 2.44% or 0.0244
Answer:
Step-by-step explanation:
If we roll a multiple of 5 we will get one of the following:
5, 10, 15 , 20.
None of these is a perfect square so they are mutually exlusive,
Answer:
X is 36 and y is 48.
Step-by-step explanation:
So a couple of things here: both triangles are equal, and triangles always add up to 180 degrees. If we do some math:
180-108-48=24
This means that 2x-y needs to equal 24. We know what y is, it's 48 since both triangles are equal. Lets do some more math to find x.
48+24=72
72 divided by 2 = 36. 36 is the answer for x.
Two numbers that add up to -19 and multiply to 48 are -16 and -3:

So, the solutions come from each parentheses: x+4=0, x-4=0, and x^2-3=0.
x+4=0
x = -4
x-4=0
x = 4
x^2-3=0
x^2 = 3
x = +/- √3
So, the solutions are -4, -√3, √3, and 4.
Answer:
- It is a linear equation
- The graph of the equation will show that the <em>y</em> values increase as the <em>x</em> values increase.
Step-by-step explanation:
The pay Michael gets (y) is the amount per paper ($0.40) multiplied by the number of papers (x) and that product added to the daily base pay of $5. Michael's daily pay (in dollars) can be described by ...
y = 5.00 + 0.40x
This is a linear equation with a positive slope (meaning y goes up when x goes up).