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laila [671]
3 years ago
7

Alexandra and Mason are employees for a company. Alexandra is making a salary of $49,329. Alexandra is earning a salary that is

37% lower than the salary of Mason. What salary is Mason earning?
Mathematics
1 answer:
NeX [460]3 years ago
3 0

Answer:

$67,580.73

Step-by-step explanation:

$49,329÷100=$493.29 (1%)

$493.29×37=$18,251.73 (37%)

$49,329+$18,251.73=$67,580.73

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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
A container contains 12 diesel engines. The company chooses 5 engines at​ random, and will not ship the container if any of the
Rufina [12.5K]

Answer:\frac{^{10}C_5}{^{12}C_5}

Step-by-step explanation:

Given a total of 12 diesel engines

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Company have to choose 5 good engines to ship.

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no of ways in which any 5 engines are selected from a total of 12 engines is

^{12}C_5

Therefore the required probability =\frac{^{10}C_5}{^{12}C_5}

=\frac{7}{22}=0.318

3 0
3 years ago
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otez555 [7]

Answer: its 1/4 per minute i took the test

Step-by-step explanation:

7 0
2 years ago
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arsen [322]

Answer:

-2 ≤ n < 8

Step-by-step explanation:

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5 0
3 years ago
Write the polar coordinates (3, pi) in rectangular form. a. (0, 3) c. (-3, 0) b. (3, 0) d. (0, -3)
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In rectangular form, we have the coordinates (3\cos\pi,3\sin\pi)=(3\cdot -1,3\cdot 0)=\boxed{(-3,0)}.

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2 years ago
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