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statuscvo [17]
3 years ago
13

Jolie sends between 22 and 23 text messages per day. Each text message costs $0.89. Suppose Jolie's cellular bill spans a period

of 6 weeks. Which is a reasonable amount that she would spend on text messages on one cellular bill? A. $135 B. $9,108 C. $945 D. $158
Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer:

C. $945

Step-by-step explanation:

Cost of 1 cellular bill = (number of text msgs per day) x (cost per text msg) x (number of days in billing period)

in this case, it is given that :

cost per text msg = $0.89

number of texts per day = 22 or 23

billing cycle = 6 weeks = 6 x 7 = 42 days

hence,

Cost of 1 cellular bill = (22 or 23) x $0.89 x 42 days

if she sends 22 messages,

Cost of 1 cellular bill = (22) x $0.89 x 42 days= $822.36

if she sends 23 messages,

Cost of 1 cellular bill = (2) x $0.89 x 42 days= $859.74

if we compare thse 2 numbers that we have calculated with the choices, the closest match would be C. $945. The rest are just too far away in comparison.

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The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffeeton. An executive from the com
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Answer:

B) 0.287

Step-by-step explanation:

For each Coffeeton resident, there are only two possible outcomes. Either they recognize the brand name, or they do not. The probability of a resident recognizing the brand name is independent of other residents. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

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This means that p = 0.53

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This is P(X = 4) when n = 7. So

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P(X = 4) = C_{7,4}.(0.53)^{4}.(0.47)^{3} = 0.287

So the anwer is:

B) 0.287

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Step-by-step explanation:

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Use Inverse Operations to solve.Check Your Answer<br><br> 17 + k = 54
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