MATHEMATICS COLLEGE

Raghav has to load 2456 cartons of apples equally in 5 trucks. how many cartons will be left unloaded in the end?​

Answers

Answer 1
Answer:

Answer:

12,280

Step-by-step explanation:

just do 1456×5 :))

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The lifetime of a certain type of battery is normally distributed with a mean value of 10 hours and standard deviation of 2 hours. Find the probability that a randomly selected battery has a lifetime greater than 12 hou g

Answers

Answer:

P(X>12)=P((X-\mu)/(\sigma)>(12-\mu)/(\sigma))=P(Z>(12-10)/(2))=P(z>1)

And we can find this probability using the complement rule:

P(z>1)=1-P(z<1)

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(z>1)=1-P(z<1)=1-0.841=0.159

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the lifetime of a certain type of battery of a population, and for this case we know the distribution for X is given by:

X \sim N(10,2)  

Where \mu=10 and \sigma=2

We are interested on this probability

P(X>12)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=(x-\mu)/(\sigma)

If we apply this formula to our probability we got this:

P(X>12)=P((X-\mu)/(\sigma)>(12-\mu)/(\sigma))=P(Z>(12-10)/(2))=P(z>1)

And we can find this probability using the complement rule:

P(z>1)=1-P(z<1)

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(z>1)=1-P(z<1)=1-0.841=0.159

At a point on the ground 20 feet from a building, a surveyor observes the angle of inclination to the top of the building to be pi/3 radians. How tall is the building?

Answers

Answer:

34.64 ft

Step-by-step explanation:

Distance from the building = 20 ft

Angle of inclination = π/3 radians

The tangent of the angle of inclination must equal the height of the building divided by the distance of the observer from the building:

tan( \pi/3) = (h)/(20) \nh = 20*1.73205\nh=34.64\ ft

The building is 34.64 ft tall

Enter the correct answer in the box.Molly has $45 in her wallet, which is 3 times as much money as her brother has.

Write an equation to represent this situation, where a represents the amount of money Molly’s brother has.

Answers

Ax3=45 ( a times three equals forty-five)

answer:

45=3x (plato/edmentum users.)

M(8, 7) is the midpoint of RS. The coordinates of S are (9, 5). What are the coordinates of R?

Answers

Answer:

M(Mx, My), R(Rx, Ry), S(Sx, Sy)

M is midpoint of RS

=> Rx + Sx = 2Mx => Rx = 2Mx - Sx = 2 x 8 - 9 = 7

=> Ry + Sy = 2My => Ry = 2My - Sy = 2 x 7 - 5 = 9

=> R(7, 9)

Hope this helps!

:)

Answer:

(7,9)

Step-by-step explanation:

Let R:(x,y)

(x+9)/2, (y+5)/2 = 8 ,7

x + 9 = 16

x = 7

y + 5 = 14

y = 9

R: (7,9)

Please help me with number 5 I will mark branlist

Answers

Answer:

C

Step-by-step explanation:

3/4/2/5 = 3*5/4*2

= 15 / 8

Solve the equations
5x-8y=14
5x-7y=6

Answers

Answer:

In the explanation. :)

Step-by-step explanation:

{x,y}={2,3}

Hope this helps. Have a great day!

Answer:

x = -10, y = -8

Step-by-step explanation:

We will use the method of elimination to find y.

Step 1: 5x - 8y = 14

          -

           5x - 7y = 6

Step 2:  0x - y = 8

Step 3: y = -8

Now, we have to substitute the y value into one of the original equations. In this case we will use the first equation which is 5x - 8y = 14.

5x - 8(-8) = 14

5x + 64 = 14

5x = - 50

x = -10

Just to make sure we have the right values, we will substitute both values into one of the equations.

5(-10) - 7(-8) = 6

-50 + 56 = 6

6 = 6           True

5(-10) - 8(-8) = 14

-50 + 64 = 14

14 = 14         True

Both of these values work, so they are the answers.

Hope this helps!
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