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Anarel [89]
3 years ago
7

The amount of money lana earns for tutoring is proportional to the time she spends tutoring. She earns $24 for tutoring 1 1/2 ho

urs. what is the constant of proportionality for the relationship between dollars earned and number of hours?
Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer:

y=16x

Step-by-step explanation:

24=1 1/2x=3/2x

x=24*(2/3)=16

y= total money earned; x=number of hours worked

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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
Fairview auto repair originally paid its mechanics $20 per hour. Now that there is a new owner, the mechanics make 5% less. How
sattari [20]

Answer:

The new amount paid to mechanics per after by new owner is $ 19 Answer

Step-by-step explanation:

Given as :

The amount paid to mechanics initially = $ 20 per hour

Now, The new owner paid less at the rate = 5%

Let the amount paid to the mechanics after 5 % less = x per hour

So, According to question

The new amount paid to mechanics per hour = initial amount paid per hour × ( 1 - \frac{rate}{100} )

or, The new amount paid to mechanics per hour =  $ 20 × ( 1 - \frac{5}{100} )

I.e The new amount paid to mechanics per hour =  $ 20 × 0.95

∴ The new amount paid to mechanics per hour =  $ 19

Hence The new amount paid to mechanics per after by new owner is $ 19 Answer

7 0
3 years ago
Question 2 (1 point) (11.01 MC) Nina has a piece of fabric measuring 5 yards. How many 1-inch strips can be cut from the fabric?
maw [93]

Answer:

180 strips

Step-by-step explanation:

Note that:

1 yard = 36 inches

5 yards = x

Cross Multiply

x = 5 × 36 inches

x = 180 inches

Hence:

1 piece of fabric = 180 inches

How many 1-inch strips can be cut from the fabric?

180 inches = 1 piece of fabric

1 inch = x

x = 180 strips

8 0
3 years ago
Given that the measure of ∠x is 60°, and the measure of ∠y is 90°, find the measure of ∠z.
UkoKoshka [18]
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1,386
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