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SIZIF [17.4K]
3 years ago
10

Ray Cupple bought a basic car costing $10,150.00, with options costing $738.00. There is a 6% sales tax in his state and a combi

ned $50.00 license and registration fee. What was Ray's total cost?
Mathematics
1 answer:
Lerok [7]3 years ago
5 0
We have to find Ray`s total cost. We know that he bought a car with a basic costing $10,150.00 and with options costing $738.00. So we have to add: $10,150.00 + $738.00 = $10,888.00. Then there is a 6% sale tax. $10,888.00 * 1.06 = $11,541.28. Finally, there is a combined $50.00 license and registration feee: $11,541.28 + $50.00 = $11,591.28. Answer: Ray`s total cost was <span>$11,591.28.</span>
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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:

<em>B</em> = bugs are present in a computer program.

<em>D</em> = 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 <em>E </em>given that another event <em>X</em> 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.

4 0
3 years ago
Been working on this for too long. thank u :)
Ket [755]

Answer:

Im not a 100% sure but my best guess would be the 3rd equation:

f(x) = (x - 1) (x + 3)

Please let me know if I was wrong, but i hope this helped you!

8 0
2 years ago
Last week, Judith's Diner sold 6 milkshakes with whipped cream on top and 69 milkshakes without whipped cream. What percentage o
jasenka [17]

Answer:

8%

Step-by-step explanation:

6/75 = 0.08 which is 8%.

8 0
2 years ago
The two-way table shows the number of houses on the market in the Castillos’ price range. A 6-column table has 4 rows. The first
Masja [62]

Answer:

The anwser is D 0.8

Step-by-step explanation:

3 0
3 years ago
The measure of a circumscribed angle is equal to 180° minus the measure of the __________
ss7ja [257]
I believe it is an inscribed angle but I am not positive
8 0
3 years ago
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