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3 years ago

What is 40% of 400 Show work

Mathematics

2 answers:

kirill [66]3 years ago

6 0

40% of 400 would be 160.
40% is 0.4
so
0.4*400 = 160
to prove my work
400/160 = 0.4 = 40%

Temka [501]3 years ago

5 0

40% of 400
percent means parts out of 100
40%=40/100=0.40

'of' means multiply
40% of 400 means
0.4 times 400=160

there's an easier way to do it
40% of 100=40
times 4 both sides
40% of 400=160

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Suppose that bugs are present in 1% of all computer programs. A computer de-bugging program detects an actual bug with probabili

lawyer [7]

Answer:

(i) The probability that there is a bug in the program given that the de-bugging program has detected the bug is 0.3333.

(ii) The probability that the bug is actually present given that the de-bugging program claims that bugs are present on both the first and second tests is 0.1111.

(iii) The probability that the bug is actually present given that the de-bugging program claims that bugs are present on all three tests is 0.037.

Step-by-step explanation:

Denote the events as follows:

B = bugs are present in a computer program.

D = a de-bugging program detects the bug.

The information provided is:

$P(B) =0.01\\P(D|B)=0.99\\P(D|B^{c})=0.02$

(i)

The probability that there is a bug in the program given that the de-bugging program has detected the bug is, P (B | D).

The Bayes' theorem states that the conditional probability of an event E given that another event X has already occurred is:

$P(E|X)=\frac{P(X|E)P(E)}{P(X|E)P(E)+P(X|E^{c})P(E^{c})}$

Use the Bayes' theorem to compute the value of P (B | D) as follows:

$P(B|D)=\frac{P(D|B)P(B)}{P(D|B)P(B)+P(D|B^{c})P(B^{c})}=\frac{(0.99\times 0.01)}{(0.99\times 0.01)+(0.02\times (1-0.01))}=0.3333$

Thus, the probability that there is a bug in the program given that the de-bugging program has detected the bug is 0.3333.

(ii)

The probability that a bug is actually present given that the de-bugging program claims that bug is present is:

P (B|D) = 0.3333

Now it is provided that two tests are performed on the program A.

Both the test are independent of each other.

The probability that the bug is actually present given that the de-bugging program claims that bugs are present on both the first and second tests is:

P (Bugs are actually present | Detects on both test) = P (B|D) × P (B|D)

$=0.3333\times 0.3333\\=0.11108889\\\approx 0.1111$

Thus, the probability that the bug is actually present given that the de-bugging program claims that bugs are present on both the first and second tests is 0.1111.

(iii)

Now it is provided that three tests are performed on the program A.

All the three tests are independent of each other.

The probability that the bug is actually present given that the de-bugging program claims that bugs are present on all three tests is:

P (Bugs are actually present | Detects on all 3 test)

= P (B|D) × P (B|D) × P (B|D)

$=0.3333\times 0.3333\times 0.3333\\=0.037025927037\\\approx 0.037$

Thus, the probability that the bug is actually present given that the de-bugging program claims that bugs are present on all three tests is 0.037.

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3 years ago

Why is it impossible for m

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Answer:

? What M? What is impossible?

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3 years ago

Find the value of (16/81)^3/4

AlexFokin [52]

Answer:

1.92636657×10^-3

Step-by-step explanation:

This question looks quite awful coz it might be (16+81)^3/4 rather than being (16/81)^3/4....But, if it is (16/81)^3/4 the answer is 1.92636657×10^-3

hope you find it helpful....Thanks very much...

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3 years ago

Midas Touch, a venture capital firm, has the opportunity to invest in one of two firms that are in the process of globalizing. C

MariettaO [177]

Answer:

Midas Touch should invest in Coolco company.

Step-by-step explanation:

Globalization:

It is a process of expanding your business to the market of whole world.

The reason for investing in Coolco, an air-conditioning manufacturer is that they can do better performance in the global market as they have faced a great pressure at home. Because, the companies that face great competition at home tend to perform better in global market place as compared to the companies that are facing little competition at home.

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4 years ago

Find the output value of the function. f(x)=5x-8 for f(7)

Molodets [167]

Answer:

Step-by-step explanation:

f(x) = 5x - 8

f(7) = 5(7) - 8 = 27

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3 years ago

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