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mezya [45]
3 years ago
7

Customers of a phone company can choose between two service plans for long distance calls. The first plan has an eight dollar mo

nthly fee and charges an additional .19 for each minute of calls the second plan has a $25 monthly fee and charges an additional .14 for each minute of calls. For how many minutes of calls will the cost of the two plans be equal?
Mathematics
1 answer:
GaryK [48]3 years ago
8 0

Answer:

Step-by-step explanation:

m = number of minutes

$ 8 monthly fee + 19 cents per minute

the expression for this is : 8 + 0.19m

$ 25 monthly fee and 14 cents per minute

the expression for this is : 25 + 0.14m

to find out when they will be equal, just set them equal to each other and solve for m, the number of minutes

8 + 0.19m = 25 + 0.14m .....subtract  0.14m from both sides

8 + 0.19m - 0.14m = 25......subtract 8 from both sides

0.19m - 0.14m = 25 - 8.....combine like terms

0.05m = 17...divide both sides by 0.05

m = 17 / 0.05

m = 340 <==== they are both the same at 340 minutes

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<u>Answer-</u>

<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>

<u>Solution-</u>

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

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We know that, the conditional probability of occurrence of A given that B occurs is,

P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}


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Putting these values,

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%

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3 years ago
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Answer:


Step-by-step explanation:

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