Approximately 4% of silicon wafers produced by a manufacturer have fewer than two large flaws. If Y, the number of flaws per wafer , has a Poisson distribution, what proportion of wafer have more than five large flaws?
Answers
P(Y < 2) = P(Y ≤ 1) = 0.04
Plug into the pdf for Po(λ), and solve for λ
After that, use your answer to find P(Y > 5)
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What value of x is in the solution set of 9(2x + 1) < 9x – 18?
A. 9cm
B. 27cm
C. Other answer ____
Answers
B.x2 + 4
C.9x2 – x – 36
D.25x2 – 36
Answers
Answer
D.25x2 – 36
Explanation
A. x² – 16x + 64
product = 64
sum = -16
factors: -8 and -8
x² – 16x + 64 = x² - 8x - 8x + 64
= x(x - 8) - 8(x - 8)
= (x - 8)(x-8) = (x-8)² ⇒ Not a difference of squares
B.x² + 4 = (x² + 2²) ⇒ Not a difference of squares
C.9x² – x – 36
product = - 324
sum = -1
Factors: none
9x² – x – 36 ⇒ Has no perfect roots.
D.25x² – 36
25x² – 36 = (5x)² - 6² ⇒ This is the difference of squares.
Answer D
25x²-36=(5x)²-6²
Answers
x = 7*35 You multiply both sides by 35 to remove the fraction,
x = 245 which will make x the subject.
Hope it's okay!
x = 35 * 7
x = 245.
Answers
What is the mode of the scores?
A.
80
B.
77.8
C.
76.5
D.
72
Answers
the mode is what occurs the most. 87 occurs once, 72 occurs 3 times, 98 occurs once,84 occurs twice, 65 occurs once, 70 occurs once, 58 occurs once , 91 occurs once and 84 occurs once. 72 occurs 3 times, which is the most, so 72 is the mode.
Answers
The measure of the angle is 50°.
Supplementary Angle
When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.
for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.
Complementary Angle
When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.
for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.
Let's assume that the angle is x.
The supplementary angle of x is (180°-x).
The complementary angle of x is (90°-x).
According to the question,
(180°-x) = 4(90°-x)-30°,
(180°-x) = 4(90°-x)-30°
180 - x = 360 - 4x - 30
4x - x = 360 - 30 -180
3x = 150
x = 50°
Hence, the measure of the angle is 50°.
Learn more about Supplementary and Complementary angles: