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1 year ago

If the magnitude of vector u is ||u||=7.81 and its angle of direction is 129.81°, which graph represents vector -u?

Mathematics

1 answer:

Triss [41]1 year ago

4 0

Answer:

see attached

Step-by-step explanation:

The vector -u will be in the opposite direction of u. The magnitude is 7.81, but the angle is 129.81° -180° = -50.19°. A graph of it is attached.

_____

The (x, y) components are ...

7.81(cos(-50.19°), sin(-50.19°)) ≈ (-5.00, -6.00)

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2 years ago

Suppose that only 25% of all drivers come to a complete stop at an intersection having flashing red lights in all directions whe

Juliette [100K]

Answer:

$X \sim Binom(n=15, p=0.25)$

For this case we can use the probability mass function and we got:

$P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.25)$

For this case we can use the probability mass function and we got:

$P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165$

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3 years ago

Distributive property of 9*45

Mashutka [201]

<span>9*45
= 9(40 + 5)
= 360 + 45
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answer
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2 years ago

Hezekiel runs 1000 m at a rateof 3 minutes per km. how long does he take to run 500 m

lana66690 [7]

Step-by-step explanation:

1 km = 1000 m

(hence the term "kilo" which means 1000).

so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.

now, we can see the solution already with our eyes.

but let's do it formally :

the rate or ratio between time and distance must be the same for the same speed.

so,

3 min / 1000 m = x min / 500 m

500 m × 3 min / 1000 m = x min

1/2 × 3 min = x min

3/2 = 1.5 min = x min

so, it takes him 1.5 minutes (90 seconds) to run 500 m.

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2 years ago

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Pie

Answer:

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Step-by-step explanation:

Just use M a t h w a y A l g e r b a

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2 years ago