Answer:
<u>If A and B are independent events, P(A and B) = P (A) * P (B)</u>
Step-by-step explanation:
Let's recall that independent events means that when one event occurs, it has no impact or influence on the probability of another event occurring. Here’s an example. Let’s say that we have two events, A and B.
Event A : it rains in Seattle
Event B : the Super Bowl match is cancelled in Miami
The two events are independent; if it rains in Seattle, this will have no impact on the probability that the Super Bowl match is cancelled in Miami. Raining in Seattle and the cancellation of the Super Bowl are independent events, therefore:
<u>P(A and B) = P (A) * P (B)</u>
Answer:
The slope would be 4/5
Step-by-step explanation:
y=(m)x+b and b is the slope.
Answer:
f(x) = 3
+ 2
Step-by-step explanation:
Given G(x) = 
As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)
=> f(x) = a
+ 2
As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3
and there is no reflection, so a= 3
=> the equation of f(x) is: f(x) = 3
+ 2
Hello :
<span>the equation all lines passes through (-5, -1) is :
y - (-1) = m(x -(-5)) m the slope
if this line parallal </span><span>to the line y=4x-6 so : m= 4 (same slope )
</span><span>the equation of the line that passes through (-5, -1) and is parallel to the line y=4x-6: is :
</span> y+1 =4(x+5)
y = 4x +19
Answer:
μ = 5.068 oz
Step-by-step explanation:
Normal distribution formula to use the table attached
Z = (x - μ)/σ
where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.
98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].
From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives
Z = (x - μ)/σ
2.33 = (6 - μ)/0.4
μ = 6 - 2.33*0.4
μ = 5.068
This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.