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drek231 [11]
3 years ago
15

Find the value of tan(30).

Mathematics
1 answer:
WINSTONCH [101]3 years ago
7 0

Answer:

(sqrt3)/3

Step-by-step explanation:

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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o
Hitman42 [59]

Answer:

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet.

This means that \mu = 2.5, \sigma = 0.4

Find the probability that an individual man’s step length is less than 1.9 feet.

This is the p-value of Z when X = 1.9. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1.9 - 2.5}{0.4}

Z = -1.5

Z = -1.5 has a p-value of 0.0668

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

3 0
3 years ago
£50 is divided between Brian Colin and Dan so that Brian gets twice as much as colin and Colin gets three times as much as Dan.
cluponka [151]

Answer:

33.32

Step-by-step explanation:

50/3=16.66

brian gets twice as collin

16.66*2=33.32

3 0
2 years ago
Read 2 more answers
What is true of the data in the dot plot? Check all that apply.
Archy [21]

Answer:

B, D,

Step-by-step explanation:

  • 0 has 3 dots
  • 1 has 8 dots
  • 2 has 7 dots
  • 3 has 0 dots
  • 4 has 4 dots
  • 5 has 1 dot

Total number of dots: 23 =>

The center is 2 Wrong

The center is 1.5. True

There are no gaps. Wrong

It has a cluster at 0, 1, and 2. True

Hope it will find you well.

4 0
3 years ago
Read 2 more answers
The length of the longer leg of a right triangle is 19ft more than five times the length of the shorter leg. the length of the h
dangina [55]
Let x represent the length of the shorter leg.

Longer leg: 5x +19
Hypotenuse: 5x +20

Pythagorean theorem:
.. x^2 +(5x +19)^2 = (5x +20)^2
.. x^2 +25x^2 +190x +19^2 = 25x^2 +200x +20^2 . . . . . . eliminate parentheses
.. x^2 -10x -39 = 0
.. (x -13)(x +3) = 0
.. x = 13 . . . . . . . . . . leg lengths must be positive

The side length of the triangle are 13, 84, 85 feet.
7 0
4 years ago
Suppose a basketball player has made 223223 out of 406406 free throws. If the player makes the next 22 free throws, I will pay y
makkiz [27]

Answer:

Expected value E = $0.45

Step-by-step explanation:

Expected value E = P×w - P'×l

Where;

P = probability of making the next 2 throw.

P = 223/406 × 223/406 = 0.3017

P' = probability of not making a throw.

P' = 1 - P = 1 - 0.3017

P' = 0.6983

w = expected win = $20

l = Expected loss = $8

Substituting the values;

E = 0.3017 × $20 - 0.6983 × $8

E = $0.4476

Expected value E = $0.45

5 0
4 years ago
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