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Ksju [112]
3 years ago
8

Please read the attachment that is there.

Mathematics
1 answer:
Firlakuza [10]3 years ago
8 0

A is equivalent to -(8/3)

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Samuel exercises everyday. She spends 40% of his exercise on the treadmill. If he uses the treadmill 40 minutes each day, how ma
padilas [110]
Samuel exercises for 100 minutes each day. Or in other words, 1 hour and 40 minutes.
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3 years ago
. $1000 was invested into an account with k = 12, r = 6%. How long one needs to wait until it
Natali5045456 [20]

Answer:

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Step-by-step explanation:

.

3 0
3 years ago
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
anastassius [24]

Answer:

  15.62

Step-by-step explanation:

The Pythagorean theorem tells you the relation between the side lengths is ...

  x^2 = 12^2 + 10^2 . . . the sum of squares of sides is the square of the hypotenuse

  x^2 = 244

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4 0
3 years ago
18. Write an expression to represent the area of the shaded region in simplest form. Please help it's due tomorrow
IgorC [24]

Answer:

(x^2 + 2x - 21) sq units

Step-by-step explanation:

Area of the shaded region = Area of the larger rectangle - Area of smaller rectangle

Area of the larger region = x(x+2)

Area of the larger region =x^2 + 2x

Area of the smaller rectangle = 3 * 7

Area of the smaller rectangle = 21 sq. units

Area of the shaded region = x^2 + 2x - 21

Hence the required expression is (x^2 + 2x - 21) sq units

7 0
3 years ago
A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables
nikitadnepr [17]

Answer:

The distribution is \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

Solution:

As per the question:

Total no. of riders = n

Now, suppose the T_{i} is the time between the departure of the rider i - 1 and i from the cable car.

where

T_{i} = independent exponential random variable whose rate is \lambda

The general form is given by:

T_{i} = \lambda e^{- lambda}

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

S_{n} = T_{1} + T_{2} + ........ + T_{n}

S_{n} = \sum_{i}^{n} T_{n}

Now, the sum of the exponential random variable with \lambda with rate \lambda is given by:

S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

5 0
3 years ago
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