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2 years ago

F(x)= 10x find the inverse of the function

Mathematics

1 answer:

Scilla [17]2 years ago

7 0

This is the answer I got.

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If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.

ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, $p=\frac{1}{4}=0.25$

Now, 'p' and 'q' are complements of each other. Therefore,

$q=1-p=1-0.25=0.75$

Now, we need 4 successes. Therefore, $x=4$

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

$P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}$

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

$P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190$

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

6 0

2 years ago

Did I do it rightly?

Andreas93 [3]

Yes. If the segment only has 2 points, it can be named both ways.

3 0

3 years ago

Mr. phill stopped to fill his car with gas on the way to New York. It took 1 ¼ minutes to fill a 15 liters of gas in his tank. A

KatRina [158]

Answer:

4 1/6 min or 4 min 10 sec

Step-by-step explanation:

<u>Filling rate is:</u>

15 ÷ 1 1/4 = 15 ÷ 5/4 = 15 × 4/5 = 12 l/min

<u>Total volume is 50 l, time required to fill is:</u>

50/12 = 4 2/12 = 4 1/6 min or 4 min 10 sec

4 0

2 years ago

Food inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the f

Novay_Z [31]

Answer:

Type II error

Step-by-step explanation:

According to the definition of type II error, the type II error arises when we wrongfully accept the null hypothesis. It means that when we accept our null hypothesis and null hypothesis is not correct then type II error arises. So according to situation we are accepting the null hypothesis that the food is safe but it is actually not safe. Hence the given situation represents type II error.

7 0

3 years ago

DEA if the diameter is 7 in

Pani-rosa [81]

Yesssssss ittttt isssssss

8 0

3 years ago

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