The electric potential in a circuit is given by

Mathematics

1 answer:

11111nata11111 [884]3 years ago

7 0

400 v .300.500.87067

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A rock is released from rest and freely falls 70 m to the ground. What is its velocity just before impact? A. 1.2 m/s B. 7.0 m/s

Yuri [45]

Answer:

37.04 m/s

Step-by-step explanation:

we can use the equation x = x0 + v0t + 1/2at^2

a = -9.8 m/s^2, the acceleration due to gravity

x0 = 70 m, the starting point of x

v0 = 0 m/s

x = 0

this will allow us to solve for time

0 = 70 + 0 +-4.9t^2

t = 3.779

now we can use the equation v = v0 + at

v = 0 + 9.8(3.77)

v = 37.04 m/s

5 0

3 years ago

The weight of a beg of pears at the local market averages 8 pounds with a standard deviation of 0.5 pound. The weight of all the

Blababa [14]

Mean weight of the bag of pears = u = 8 pounds
Standard deviation = s = 0.5 pounds

We have to find what percentage of bags of pears will weigh more than 8.25 pounds. This can be done using the z score.

We have to convert x = 8.25 to z scores, which will be:

$z= \frac{x-u}{s}= \frac{8.25-8}{0.5}$

z score = 0.5

From the z table, the probability of z score being greater than 0.5 is 0.3085

Therefore, the probability of a bag to weigh more than 8.25 pounds is 0.3085

Thus 0.3085 or 31% (rounded to nearest integer) of bags of pears will have weight more than 8.25 pounds at the local market.

4 0

3 years ago

The route used by a certain motorist in commuting to workcontains two intersections with traffic signals. The probabilitythat he

zavuch27 [327]

Answer:

a) 0.2

b) 0.2

c) 0.5

Step-by-step explanation:

Let $S$ be the event "the car stops at the signal.

In the attached figure you can see a tree describing all possible scenarios.

For the first question the red path describes stopping at the first light but not stopping at the second. We can determine the probability of this path happening by multiplying the probabilities on the branches of the tree, thus

$P(a)=0.4\times0.5=0.2$