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2 years ago

15

Sue had finished three Christmas gifts before the first of December. After that she finished one gift each day. Which equation d

escribes her work if G = gifts and D = days?

1 answer:

Verdich [7]2 years ago

6 0

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At smith mountain lake boat rentals, it costs $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Beng

ludmilkaskok [199]

Answer:

The given equation in slope intercept form is

226.50 = 7.5 (25) + 39

Step-by-step explanation:

The SLOPE INTERCEPT form of a equation is y = m x + c

The per hour cost for rental of boat = $25 per hour

Let us assume the one time cleaning charge = $ k

The boat is booked from 11 am : 6 : 30 pm

So, the number of hours boat was used = 7 . 5 hours

Hence, the cost for engaging boat for 7.5 hours

= 7.5 (cost per hour ) = 7.5( $25) = $187 . 5

Total amount paid by the family = $226. 50 = Fixed cleaning charge + rate for 7.5 hours

⇒The cleaning fee paid by the family = $226. 50 - $187 . 5 = $39

According to question:

Total amount paid = Number of hour x (cost per hour ) + Cleaning fee

Hence, the given equation in slope intercept form is

226.50 = 7.5 ($25) + $39

8 0

1 year ago

The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"† proposed using the Poisson distribution

oksian1 [2.3K]

Answer:

a. P(X ≤ 5) = 0.999

b. P(X > λ+λ) = P(X > 2) = 0.080

Step-by-step explanation:

We model this randome variable with a Poisson distribution, with parameter λ=1.

We have to calculate, using this distribution, P(X ≤ 5).

The probability of k pipeline failures can be calculated with the following equation:

$P(k)=\lambda^{k} \cdot e^{-\lambda}/k!=1^{k} \cdot e^{-1}/k!=e^{-1}/k!$

Then, we can calculate P(X ≤ 5) as:

$P(X\leq5)=P(0)+P(1)+P(2)+P(4)+P(5)\\\\\\P(0)=1^{0} \cdot e^{-1}/0!=1*0.3679/1=0.368\\\\P(1)=1^{1} \cdot e^{-1}/1!=1*0.3679/1=0.368\\\\P(2)=1^{2} \cdot e^{-1}/2!=1*0.3679/2=0.184\\\\P(3)=1^{3} \cdot e^{-1}/3!=1*0.3679/6=0.061\\\\P(4)=1^{4} \cdot e^{-1}/4!=1*0.3679/24=0.015\\\\P(5)=1^{5} \cdot e^{-1}/5!=1*0.3679/120=0.003\\\\\\P(X\leq5)=0.368+0.368+0.184+0.061+0.015+0.003=0.999$

The standard deviation of the Poisson deistribution is equal to its parameter λ=1, so the probability that X exceeds its mean value by more than one standard deviation (X>1+1=2) can be calculated as:

$P(X>2)=1-(P(0)+P(1)+P(2))\\\\\\P(0)=1^{0} \cdot e^{-1}/0!=1*0.3679/1=0.368\\\\P(1)=1^{1} \cdot e^{-1}/1!=1*0.3679/1=0.368\\\\P(2)=1^{2} \cdot e^{-1}/2!=1*0.3679/2=0.184\\\\\\P(X>2)=1-(0.368+0.368+0.184)=1-0.920=0.080$

4 0

2 years ago

Using the midpoint method, find the cross-price elasticity of demand for FedEx and UPS overnight shipping if the price of FedEx

IrinaK [193]

Answer:

Cross price elasticity using midpoint method = 0.56

Step-by-step explanation:

Using the mid-point method

Cross-price Elasticity of Demand = <u>% change in Quantity demanded of UPS</u>

% change of price of FedEx

%change in Quantity demanded of UPS

using Mid-point method = <u> Q2-Q1 </u> × 100

(Q1+Q2)÷ 2

= <u>1.3-1.2 </u> × 100

(1.2+1.3)÷2

= <u>0.1 </u> × 100

1.25

= 8%

% change in price of FedEx

using midpoint method =<u> P2-P1 </u>× 100

(P1+P2)÷ 2

=<u> 75-65 </u>× 100

(65+75)÷2

=<u> 10 </u> × 100

70

= 14.28%

Cross-price Elasticity of Demand = 8% ÷ 14.28%

using midpoint method = 0.56

6 0

1 year ago

Derek bought a new car for $32,000. He made a down payment of $17,000 and financed the balance through the car dealer. He was un

Andreyy89

Answer:

$300

Step-by-step explanation:

Given that:

Derek bought a new car for $32,000;

The original amount of purchase = $32,000

Down payment = $17,000

Remaining amount = Original amount of purchase - Down payment

= $(32000 -17000)

= $ 15,000

Also;

rate of interest per month is 2%

and the Derek is unable to pay his first monthly payment

thus the interest amount is calculated on principal amount

so for the first month interest is calculated on total principal amount

The month interest payment is then calculated as :

= 15,000 × 2%

= 15,000 × 0.02

= $300

3 0

1 year ago

Ben says 7 9/100 must be less than 7. 2/10 because 9 hundredths is less than 2 tenths. Do you agree? Draw a line to support your

Marrrta [24]

Yes, I cannot draw a line because this is online. Sorry

5 0

1 year ago