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2 years ago

What is the equation of this line?

Mathematics

1 answer:

Vinil7 [7]2 years ago

4 0

Answer:

the answer is D pls brainliesttt

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A truck can be rented from Company A for $100 a day plus $0.20 per mile. Company B charges $60 a day plus $0.70 per mile to

denis23 [38]

Answer:

Step-by-step explanation:

First, we write the rental cost with each company:

Company A $Pa = 100 + 0.2*m$

Company B $Pb = 60 + 0.7*m$

Where m: miles travelled

Now, we need to find "number of miles in a day at which the rental costs for Company A and Company B are the same". This means Pa = Pb. Then:

$100 + 0.2*m = 60 + 0.7*m$

Solving the equation for m by taking 0.2m and 60 on both sides:

$100 + 0.2*m - 0.2*m - 60 = 60 + 0.7*m - 0.2*m - 60$

$40 = 0.5*m$

Finally, dividing 0.5 on both sides:

$m = 80$

4 0

3 years ago

A coin is to be tossed as many times as necessary to turn up one head. Thus the elements c of the sample space C are H, TH, TTH,

slavikrds [6]

Answer:

Step-by-step explanation:

As stated in the question, the probability to toss a coin and turn up heads in the first try is $\frac{1}{2}$ , in the second is $\frac{1}{4}$ , in the third is $\frac{1}{8}$ and so on. Then, P(C) is given by the next sum:

$P(C)=\sum^{\infty}_{n=1}(\frac{1}{2} )^{n}=1$

This is a geometric series with factor $\frac{1}{2}$ . Then is convergent to $\frac{1}{1-\frac{1}{2}}-1=1.$ . With this we have proved that P(C)=1.

Now, observe that

$P(H)=\frac{1}{2}, P(TH)=\frac{1}{4},P(TTH)=\frac{1}{8},P(TTTH)=\frac{1}{16},P(TTTTH)=\frac{1}{32},P(TTTTTH)=\frac{1}{64}.$

Then

$P(C1)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} =\frac{31}{32}$

$P(C2)=P(TTTTH)+P(TTTTTH)=\frac{1}{32}+\frac{1}{64} =\frac{3}{64}$

$P(C1\cap C2)=P(TTTTH)=\frac{1}{32}$

and

$P(C1\cup C2)=P(H)+P(TH)+P(TTH)+P(TTTH)+P(TTTTH)+P(TTTTTH)=\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +\frac{1}{32} +\frac{1}{64}=\frac{63}{64}$