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DIA [1.3K]
3 years ago
15

Chords and of circle O intersect at P such that P bisects. Which equation correctly relates the lengths of the line segments for

med by their intersection? A)2AP=CP+DP
B)CP=DP
C)BP=PC
D)AP^2=CP*DP
Mathematics
1 answer:
Phoenix [80]3 years ago
8 0
In the diagram, the chords AB and CD intersect inside the circle at point P. The equation that best answers the question above is AP x PB = CP x DP. Since, the line segment AB is bisected, the equation can be further reduced into,
                               AP² = CP x DP
Thus, the answer is letter D. 
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Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both insp
Yuliya22 [10]

Complete question is;

Components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both inspectors). The first inspector detects 83% of all defectives that are present, and the second inspector does likewise. At least one inspector does not detect a defect on 34% of all defective components. What is the probability that the following occurs?

(a) A defective component will be detected only by the first inspector?

b) A defective component will be detected by exactly one of the two inspectors?

(c) All three defective components in a batch escape detection by both inspectors (assuming inspections of different components are independent of one another)?

Answer:

A) 0.17

B) 0.34

C) 0

Step-by-step explanation:

a) We are told that the first inspector(A) detects 83% of all defectives that are present, and the second inspector(B) also does the same.

This means that;

P(A) = P(B) = 83% = 0.83

We are also told that at least one inspector does not detect a defect on 34% of all defective components.

Thus;

P(A' ⋃ B') = 0.34

Also, we now that;

P(A ⋂ B) = 1 - P(A' ⋃ B')

P(A ⋂ B) = 1 - 0.34

P(A ⋂ B) = 0.66

Probability that A defective component will be detected only by the first inspector is;

P(A ⋂ B') = P(A) - P(A ⋂ B)

P(A ⋂ B') = 0.83 - 0.66

P(A ⋂ B') = 0.17

B) probability that a defective component will be detected by exactly one of the two inspectors is given as;

P(A ⋂ B') + P(A' ⋂ B) = P(A) + P(B) - 2P(A ⋂ B)

P(A) + P(B) - 2P(A ⋂ B) ; 0.83 + 0.83 - 2(0.66) = 0.34

C) Probability that All three defective components in a batch escape detection by both inspectors is written as;

P(A' ⋃ B') - (P(A ⋂ B') + P(A' ⋂ B))

Plugging in the relevant values, we have;

0.34 - 0.34 = 0

7 0
3 years ago
The graph of y=f(x)y=f(x) is shown below. Find all values of xx for which f(x)>0f(x)>0
Rzqust [24]

Answer:

  (-∞, -7) ∪ (-3, ∞)

Step-by-step explanation:

The line y=0 is the x-axis. The graph is above the x-axis for x < -7 and for x > -3. The solution set is ...

  (-∞, -7) ∪ (-3, ∞)

4 0
2 years ago
What is 1,200 x 1,300
rewona [7]

Answer:

It's 1,560,000

Step-by-step explanation:

You can just put it into a calculator.

5 0
2 years ago
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Chad is eating a 50-gram chocolate bar which contains 30% cocoa. How many grams of cocoa are in the chocolate bar?
Allushta [10]

Answer: 15 grams

If he had 100 grams of candy bar, then 30% of that is 30 grams (since 30/100 = 30%). Cut this in half and we end up with 30/2 = 15.

Another way to find the answer is to multiply 50 and 0.30 which is the decimal form of 30%. So we have 50*0.30 = 15 which is the same answer.

8 0
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How much money was originally in an account if the balance is 10,399.86 if the interest compounded quarterly over eight years?
nlexa [21]
Sorry I’m not sure but maybe you could look it up???
5 0
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