Answer:
Step-by-step explanation:
The probability mass function P(X = x) is the probability that X happens x times.
When n trials happen, for each , the probability mass function is given by:
In which p is the probability that the event happens.
is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:
The sum of all P(X=x) must be 1.
In this problem
We have 3 trials, so
The probability that a wafer pass a test is 0.7, so
Determine the probability mass function of the number of wafers from a lot that pass the test.
Given:
Cheshire Road Shelby Road
Plot 1 40 yards 48 yards
Plot 3 x 56 yards
To solve for x, we get the ratio and proportion of both plots.
40/48 = x/56
Do cross multiplication.
40 * 56 = 48 * x
2,240 = 48x
2,240/48 = 48x/48
46.67 = x
Plot 3 of Chesire Road measures 46.67 or 46 2/3 yards. Choice A.
Answer:
The rule used to reflect Δ ABC to its image is Reflect over y = x ⇒ B
Step-by-step explanation:
- If the point (x, y) reflected across the x-axis
, then its image is (x, -y)
- If the point (x, y) reflected across the y-axis
, then its image is (-x, y)
- If the point (x, y) reflected across the line y = x
, then its image is (y, x)
- If the point (x, y) reflected across the line y = -x
, then its image is (-y, -x)
From the given figure
∵ The coordinates of point A are (-4.5, 6)
∵ The coordinates of point A' are (6, -4.5)
→ The coordinates are switched ⇒ 3rd rule
∴ Point A is reflected over the line y = x
∴ Δ ABC is reflected over the line y = x
∴ The rule used to reflect Δ ABC to its image is Reflect over y = x
<em>Note: Point B' on the graph should be C' and point C' should be B' (correct it)</em>
Answer:
The last choice is the correct one
Explanation:
We can solve this question using "difference between squares" which has the following general rule:
a^2 - b^2 = (a+b)(a-b)
For the given question:
p^4 - 16 = (p^2 - 4)(p^2 + 4)
Now, p^2 - 4 can be further factorized using difference between squares, therefore:
p^4 - 16 = (p-2)(p+2)(p^2 + 4)
Hope this helps :)
Answer:
A you just didive the flour by how many serverings