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Komok [63]
1 year ago
8

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solut

ion if x represents the number of days that a library book is late and y represents the total fee?
(–3, –0.90)
Mathematics
1 answer:
Rom4ik [11]1 year ago
5 0

Using a proportional relationship, the ordered pair that is a solution if x represents the number of days that a library book is late and y represents the total fee is:

(3, 0.9).

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, each day, the free is increased by $0.3, hence the constant is k = 0.3 and the function is:

y = 0.3x.

Then after three days, the total fee is:

y = 0.3 x 3 = 0.9.

And the ordered pair is:

(3, 0.9).

More can be learned about proportional relationships at brainly.com/question/28291848

#SPJ1

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mote1985 [20]
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6 0
2 years ago
If a 10 symbol sequence is sent through the channel,what is the probability that up to 3 symbols are in error out of the 10trans
lina2011 [118]

Answer: 0.171887

Step-by-step explanation:

Given that S0 and S1 are binary symbol of equal probabilty;

P(S0) = P(S1) = 0.5

This probability is a Binomial random variable of sequence Sn, where Sn counting the number of success in a repeated trials.

P(Sn =X) = nCx p^x (1-p)^(n-1)

Pr(at most 3) = P(0<= x <=3) = P(X=0) + 0) + P(X=1) + P(X=2) + P(X=3)

Since there are only 2 values that occur in sequence 0 and 1 ( or S0 and S1).Let the distribution be given by the sequence (0111111111),(1011111111),(11011111111),...(1111111110) for Sn= 1 is the sequence for 1 error.

10C0, 10C1, 10C2, and 10C3 is the number of sequences in value for X= 0, 1, 2, 3 having value 0 and others are 1. Let the success be p(S0)=0.5 and p(S1)= 0.5

P(0<= X <=3) = 10C0 × (0.5)^0 × (0.5)^10 + 10C1× (0.5)¹ × (0.5)^9 + 10C2 × (0.5)² × (0.5)^8 + 10C3(0.5)³(0.5)^7

= 1 × (0.5)^10 + 10 × (0.5)^10 + 45 × (0.5)^10 + 120 × (0.5)^10

=0.000977 + 0.00977 + 0.04395 + 0.11719

= 0.171887

3 0
3 years ago
Hello will you help me with this?
Norma-Jean [14]

Answer:

A. 432=18x

B. 22-see explanation

C. 24

D. See if your rounded answer and the actual answer are close.

Step-by-step explanation:

A. He buys a new phone for $432, and pays each month. We will use the variable x, and "x" will represent how many months he pays. It says that he pays $18 per month, so the equation would be 432=18x.

B. We need to isolate x, and to do this we have to divide 432 by 18. To approximate this answer, round 432 to 440 and 18 to 20. Now, divide 440 by 20. We get 22, so this will be the estimation.

C. Divide 432 by 18. We get 24.

E. You can see if it is reasonable if they are close in value.

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3 years ago
Find the nth term for this sequence 7,10,13,16
Hatshy [7]
Nth term = 3n+4 .......
7 0
2 years ago
Pls help me find the awnser​
alukav5142 [94]

Answer:

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