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Sveta_85 [38]
3 years ago
9

Elise has 23 gallons of gas in her car. She wants to drive 87 miles one way to her sister's house. Her car gets 19 miles per gal

lon. Will Elise have enough gas to go to her sister's house and back? Explain your answer.
Mathematics
2 answers:
Montano1993 [528]3 years ago
7 0
Elise will have enough gas to get to her sisters house and back. she will have 437 miles of gas before she goes.
DanielleElmas [232]3 years ago
5 0
87+87=174 since she wants to know if she go there and back 
174 divided by 19 is  9.15 
it should take her 9.15 gallons there and back 
so yes she will have enough gas to go to her sisters house then back
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Let X denote the temperature (degree C) and let Y denote thetime in minutes that it takes for the diesel engine on anautomobile
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

Given f_{XY} (x,y) = c(4x + 2y +1) ; 0 < x < 40\,and\, 0 < y

a)

we know that \int\limits^\infty_{-\infty}\int\limits^\infty_{-\infty} {f(x,y)} \, dxdy=1

therefore \int\limits^{40}_{-0}\int\limits^2_{0} {c(4x+2y+1)} \, dxdy=1

on integrating we get

c=(1/6640)

b)

P(X>20, Y>=1)=\int\limits^{40}_{20}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

on doing the integration we get

                        =0.37349

c)

marginal density of X is

f(x)=\int\limits^2_{0} {\frca{1}{6640}(4x+2y+1)} \, dy

on doing integration we get

f(x)=(4x+3)/3320 ; 0<x<40

marginal density of Y is

f(y)=\int\limits^{40}_{0} {\frca{1}{6640}(4x+2y+1)} \, dx

on doing integration we get

f(y)=\frac{(y+40.5)}{83}

d)

P(01)=\int\limits^{40}_{0}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

solve the above integration we get the answer

e)

P(X>20, 0

solve the above integration we get the answer

f)

Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.

we know f(x,y)

In the (c) bit we got f(x) and f(y)

f(x,y)cramster-equation-2006112927536330036287f(x).f(y)

therefore X and Y are not independent

4 0
3 years ago
A Runway is 3100 ft long and 65 ft wide what is the area of the runway in feet squared​
ivolga24 [154]

Answer:

201, 500ft²

Step-by-step explanation:

The formula for calculating area in this case is;

<em>A = w × l</em>

This means we're going to take the width of the runway (65ft) and multiply it by the length of the runway (3100ft).

(To make it easier on paper, you can swap the two numbers around, so the higher number is on top, and the smaller number is on the bottom - 3100 × 65. It won't change the answer, but it will make it quicker and easier to get to the result, and lessens the chances making a mistake.)

So the equation you need to do is;

<em>3,100 × 65 = 201, 500.</em>

Add on the units, and there's your answer;

201, 600ft²

<h2>Hope this helped!</h2>
6 0
3 years ago
A sanitation company charges $4 per bag for garbage pickup plus a $10 weekly fee. a restaurant has 14 bags of g garbage. what wi
Alex
4x14=56   Add $10 to that = $66 is what they will pay.
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Answer:

1. No

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Explanation:

If a data point has the same x coordinate of another data point. Then it's not a function.

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Answer:

A is 13

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