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lisabon 2012 [21]

2 years ago

11

Find the rate and unit rate of these please!

2 answers:

Sunny_sXe [5.5K]2 years ago

8 0

You already have the rates, what you need to find out now is the unit rates. To do this, you simply take first number (eg.420) to divide by the second number (eg. 7).
a.60 miles per hour
b. 12 customers per day
c. 2.5 meters in 1 pound
d. $1.592 for 1 ound

ki77a [65]2 years ago

4 0

A. 420 miles in 7 hours = 420miles/7hours = 60 miles/hour

b. 360 customers in 30 days = 360 customers/30 days = 12 customers / day.

c. 40 meters in 16 pounds = 40 meters / 16 pounds = 2.5 meters / pound

d. $7.96 for 5 pounds = $7.96 / 5 pounds = $ 1.592 / pound

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The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.

Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

$f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}$

The probability for exponential distribution is given as:

$P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}$

a) P( time between the next two calls will be 54 seconds or less)

$P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763$

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

b) P(time between the next two calls will be greater than 118.5 seconds)

$p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285$

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

6 0

2 years ago

What is the GCF of g^3 an g^15

kenny6666 [7]

Answer:

The GCF of both is g^3

Step-by-step explanation:

Here, we are asked to give the greatest common factor of g^3 and g^15

In simpler terms we want to find that biggest term that could divide both values.

Mathematically, since g^3 is itself a factor of g^15, then we can conclude that the GCF of both is g^3

8 0

2 years ago

Jack began constructing ΔDEF to be congruent to ΔABC by copying side AC to form DF. Could Jack use ASA to complete the construct

Katarina [22]

Answer:

c. yes, he should copy ∠A and ∠C.

Step-by-step explanation:

just took the test

3 0

3 years ago

Read 2 more answers

What is the slope of the line from the table below hour: 1, 2, 4, 8 distance: 50, 100, 200, 400

VLD [36.1K]

Answer:

50

Step-by-step explanation:

The slope is change in y divided by the change in x

Change in distance / change in hour

m = (400-200)/(8-4)

= 200/4

= 50

4 0

2 years ago

A 5-lb bag of apples costs $4.50, and an 8-lb bag of the same type of apples costs $7.52. Greg found the unit price, which is th

Sedaia [141]

Answer:

4 cents

Step-by-step explanation:

4.50 divide by is .9 and 7.52 divide by 8 is .94

3 0

2 years ago