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elixir [45]
3 years ago
5

A student takes an exam containing 16 true or false questions. If the student guesses, what is the probability that he will get

exactly 14 questions right
Mathematics
1 answer:
almond37 [142]3 years ago
5 0

Answer:

0.001831055

Step-by-step explanation:

Here, n = 16, p = 0.5, (1 - p) = 0.5 and x = 14

As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)

We need to calculate P(X = 14)

P(x =14) = 16C14 * 0.5^14 *(1-0.5)^2

               = 120 * 0.5^14 *(1-0.5)^2

= 0.001831055

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Wittaler [7]

Answer:

The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.

Step-by-step explanation:

The average speed is given by the following equation:

v = \frac{d}{t}

From 10A.M. to noon.

You traveled at 50mph during 2 hours. So how long you traveled?

50 = \frac{d}{2}

d = 50*2

d = 100

You traveled 100 miles.

What was your average speed over the time interval from 9 A.M. to noon

From 9 A.M. to 10 A.M, you did not travel.

From 10 P.M. to noon, 100 miles.

So 100 miles during 3 hours.

v = \frac{d}{t} = \frac{100}{3} = 33.33

The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.

8 0
3 years ago
The man is pushing with a force of 75 N. The rock is not moving. This is an example of what kind of force?
Oksi-84 [34.3K]
Kinetic energy
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3 0
3 years ago
Which number is not in scientific notation?
Hitman42 [59]

Answer:

A 9 ⋅ 1019

B 7.8 ⋅ 106

C 1.45 ⋅ 10−7

D 0.33 ⋅ 10−15

Step-by-step explanation:

A 9 ⋅ 1019

B 7.8 ⋅ 106

C 1.45 ⋅ 10−7

D 0.33 ⋅ 10−15

6 0
3 years ago
Write an equation of the line passing through the points (3,9) and (-1,- 15).
marishachu [46]
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Cindy is growing plants for a science project. During the project, one plant grows from a height of 7 cm to 10.85 cm. What is th
Leto [7]

Answer:

Percentage increase in the height is 55%.

Step-by-step explanation:

Since Cindy is growing plants for a science project. During the project Cindy found that one plant grows from 7 cm to 10.85 cm.

We have calculate percent increase in the height of the plant.

We know formula to calculate the percentage is

% Increase in the height = Net increase in the height×100/Initial length of the plant

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Therefore % increase in the height of the plant is 55%.

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3 years ago
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