Answer:
<h2> B and C are not independent events </h2>
Step-by-step explanation:
This is a probability question, basically on independent events.
B and C are said to be independent if the occurrence of either event does not affect the occurrence of the other.
And now considering the fact that C will always present a head any way anyhow, the occurrence
of C will affect the outcome of B and C.
<em>Hence B and C are not independent events</em>
Answer:
Steps 3 and 4 are incorrect because
(a) An incorrect value for slope was obtained in step 3.
(b) The incorrect value for the slope was used in step 4.
Explanation:
Let us evaluate Talia's steps.
Step 1: Select (2, 5) as a point on the line.
CORRECT
Step 2: Select another point (1, 3) on the line.
CORRECT
Step 3: Count units to the right and count units up, to determine the slope.
Units right = 2 - 1 = 1
Units up = 5 - 3 = 2
Slope = (Units up)/(Units right) = 2/1 = 2
INCORRECT because Talia did not obtain a slope of 2.
Step 4: Substitute obtained values in the point-slope form.
(y - y1) = m(x - x1). If we select the point (1, 3), then
y - 2 = 2(x - 1).
Talia's equation is INCORRECT because she used an incorrect value
for the slope.
The answer is C. Nellie should buy the 11 pound bags they have the cheapest unit price
Answer: The probability that a randomly selected catfish will weigh between 3 and 5.4 pounds is 0.596
Step-by-step explanation:
Since the weights of catfish are assumed to be normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = weights of catfish.
µ = mean weight
σ = standard deviation
From the information given,
µ = 3.2 pounds
σ = 0.8 pound
The probability that a randomly selected catfish will weigh between 3 and 5.4 pounds is is expressed as
P(x ≤ 3 ≤ 5.4)
For x = 3
z = (3 - 3.2)/0.8 = - 0.25
Looking at the normal distribution table, the probability corresponding to the z score is 0.401
For x = 5.4
z = (5.4 - 3.2)/0.8 = 2.75
Looking at the normal distribution table, the probability corresponding to the z score is 0.997
Therefore,.
P(x ≤ 3 ≤ 5.4) = 0.997 - 0.401 = 0.596
