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PIT_PIT [208]
4 years ago
5

Use hookes law

Mathematics
1 answer:
kifflom [539]4 years ago
7 0

we know that

Hooke's law

F=kx

where

F is force

k is spring constant

x is stretched length

we are given F=265N and x=0.15m

now, we can use it and find k

265=k*0.15

we get

k=\frac{5300}{3}

now, we can plug back

F=\frac{5300}{3}x

(A)

we are given

stretches the spring 0.2

so, x=0.2

and then we can find F

F=\frac{5300}{3}*0.2

F=353.333N

(B)

we are given

F=140N

so, we can set it equal and then we can solve for x

140=\frac{5300}{3}*x

x=0.07925m............Answer

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Daniela painted a photo that was 4/5 afoot by 1 7/8 of afoot. What was the area?​
Ahat [919]

Answer:

\frac{3}{2} square feet

Step-by-step explanation:

The dimensions of the photo is 4/5 by 1 7/8 of a foot.

But,

1 7/8 = \frac{15}{8} feet

So that,

length of the photo = \frac{15}{8} feet

width of the photo = \frac{4}{5} feet

The area of the photo = length x width

                                     = \frac{15}{8} x \frac{4}{5}

                                     = \frac{60}{40}

                                     = \frac{3}{2}

Area of the painted photo is \frac{3}{2} square feet.

8 0
3 years ago
Find the least common denominator of 1/6 and 2/7
harina [27]

Answer:

it is it is 42

Step-by-step explanation:

7/42+12/42=19/42

5 0
3 years ago
Wayne Gretsky scored a Poisson mean six number of points per game. sixty percent of these were goals and forty percent were assi
BartSMP [9]

Answer:

a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

b) 0.05 = 5% probability that he has four goals and two assists in one game

Step-by-step explanation:

In hockey, a point is counted for each goal or assist of the player.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval. The standard deviation is the square root of the mean.

(a) Find the mean and standard deviation for the total revenue he earns per game.

60% of six are goals, which means that 60% of the time he earned 3K.

40% of six are goals, which means that 40% of the time he earned 1K.

The mean is:

\mu = 6*0.6*3 + 6*0.4*1 = 13.2

The standard deviation is:

\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63

The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

(b) What is the probability that he has four goals and two assists in one game

Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.

Probability of four goals:

60% of 6 are goals, which means that:

\mu = 6*0.6 = 3.6

The probability of scoring four goals is:

P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122

Probability of two assists:

40% of 2 are assists, which means that:

\mu = 6*0.4 = 2.4

The probability of getting two assists is:

P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127

Probability of four goals and two assists:

P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05

0.05 = 5% probability that he has four goals and two assists in one game

5 0
3 years ago
How to graph y=3x -3/4
VikaD [51]
Just find X and Y intercept and make the graph ....
this will help you

3 0
3 years ago
1. Write an expressions that is equivalent to k + k + k + k − 12
Black_prince [1.1K]

Answer:

4k - 12

Step-by-step explanation:

k + k + k + k - 12

4k - 12

It's 4k because you're adding and not multiplying

If you were multiplying it would be k^4

3 0
3 years ago
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