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1 year ago

Quantities that can be described completely by their magnitude or size are called vector quantities. (5 points) true false.

1 answer:

5 0

False, a vector quantity is described by their magnitude and direction.

A scalar is completely described by its magnitude.

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20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st

Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that $p = 0.13$

14 drivers are stopped

This means that $n = 14$

(a) None will have an invalid license.

This is $P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423$

(b) Exactly one will have an invalid license.

This is $P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977$

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56$

8 0

3 years ago

Mrs. larnell is making snack packs for a class picnic. She puts 1/4 pound of apples, 1/8 pound of nut mix, and 1/16 pound of cho

Leona [35]

The answer is 10.5 pounds. No there is no other solutions.

24 divided by 1/4 = 6 lbs
24 divided by 1/8 = 3 lbs
24 divided by 1/16 = 1.5 lbs

6+3+1.5= 10.5 lbs of food

5 0

3 years ago

A shoreline observation post is located on a cliff such that the observer is 280 feet above sea level. The observer spots a ship

morpeh [17]

Answer:

Step-by-step explanation:

a) D/280 = tan(90 - 6)

D = 280tan84 = 2,664 ft

b) D/280 = tan(90 - 16)

D = 280tan74 = 976 ft

ship speed = (2664 - 976) / 43 = 39.2 ft/s

4 0

3 years ago

Find the value of x (round to the nearest tenths)<br> 3x<br> 4x

Schach [20]

Answer:

Sorry nakalimutan ko

Step-by-step explanation:

Di koma search

5 0

2 years ago

Anyone????? x= what???

ICE Princess25 [194]

Answer:

x=66°

Step-by-step explanation:

48+x+x=180

2x=180-48

2x=132

x=132/2=66

6 0

3 years ago

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