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Alex73 [517]
3 years ago
10

Start time: Elapsed time: 9 3/4 End time: 6:00 P.M.

Mathematics
1 answer:
docker41 [41]3 years ago
8 0
Answer: 8:15 Have a nice day!
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A student takes an exam containing 18 multiple choice questions. The probability of choosing a correct answer by knowledgeable g
lawyer [7]

When you have to repeatedly take the same test, with constant probability of succeeding/failing, you have to use Bernoulli's distribution. It states that, if you take n tests with "succeeding" probability p, and you want to "succeed" k of those n times, the probability is

\displaystyle P(n,k,p) = \binom{n}{k}p^k(1-p)^{n-k}

In your case, you have n=18 (the number of tests), and p=0.3 (the probability of succeeding). We want to succeed between 8 and 12 times, which means choosing k=8,9,10,11, or 12. For example, the probability of succeeding 8 times is

\displaystyle P(18,8,0.3) = \binom{18}{8}(0.3)^8(0.7)^{10}

you can plug the different values of k to get the probabilities of succeeding 9, 10, 11 and 12 times, and your final answer will be

P = P(18,8,0.3) + P(18,9,0.3) + P(18,10,0.3) + P(18,11,0.3) + P(18,12,0.3)

3 0
4 years ago
On Patricia's dairy farm, her cows produce an average of 3 8 gallons of milk per minute during milking
Ipatiy [6.2K]

Answer:

Write an equation that models the relationship between these variables. ... On Patricia's dairy farm, her cows produce an average of 3.8 gallons of milk per ... Define variables for the number of gallons of milk produced and the ... of milk produced. AND let in represent the number of minutes spent milking.

Step-by-step explanation: now you try

6 0
3 years ago
If john can run 6 yards in 10 seconds, how far can he run in miles per hour?
frutty [35]

Answer:

600 yd none in miles

Step-by-step explanation:

8 0
4 years ago
81.46 rounded to the nearest whole number
Marat540 [252]

Answer:

81

Step-by-step explanation:

<u>Step 1:  Round to the nearest whole number</u>

81.46

<em>81</em>

<em />

Answer:  81

8 0
3 years ago
Read 2 more answers
The red stripe on a barber pole makes two complete revolutions around the pole. The pole is 260 cm high, and 14 cm in diameter.
jok3333 [9.3K]

Answer:

\boxed{\text{274.5 cm; }71.3^{\circ}}

Step-by-step explanation:

If we open the surface of the pole and lay it flat, we will get a rectangle with the red stripe as a diagonal.

l = 260 cm.

The width of the rectangle is enough for two revolutions (i.e., twice the circumference).

w = 2C = 2 × 2πr = 4π × 14/2 = 28π cm = 87.96 cm

Length of stripe

The stripe is the diagonal of the rectangle.

d² = 260² + (28π)² = 67 600 + 87.96² = 67 600 + 7738 = 75 338

d = √(75 338) = 274.5 cm

Angle with horizontal

tanθ = 260/(28π) = 260/87.96 =2.956

θ = arctan2.956

θ = 71.3°

The stripe is \boxed{ \text{274.5 cm}} long and the angle with the horizontal is \boxed{71.3^{\circ}}.

8 0
3 years ago
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