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leonid [27]
3 years ago
8

The cost of a phone plan Q is $10 per month plus $0.14 per minute. Phone plan R cost $7 per month plus $0.17 per minute. If Anth

ony talks on the phone for 70 minutes in a month, which plan is less expensive for Anthony, and by how much?
Mathematics
1 answer:
Helen [10]3 years ago
6 0

Answer:

Plan Q cost $18.9 and it is less expensive by $0.9

Step-by-step explanation:

Cost of Phone Q=$10+$0.14 per minute

Cost of phone R=$7+$0.17 per minute

Let m=number of minutes

If Anthony talks for 70 minutes

Cost of Q=$10+$0.14(m)

=$10+$0.14(70)

=$10+$9.8

=$19.8

Cost of phone R=$7+$0.17(m)

=$7+$0.17(70)

=$7+$11.9

=$18.9

Plan Q cost $18.9 and it is less expensive by $0.9

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If a cookie recipe that makes 2 dozen cookies calls for 2 1/4 cups of flour, how cups of flour do you need to make 5 dozen cooki
Schach [20]

Answer:

5. 5/8 flour needed to make 5 dozen cookies

Step-by-step explanation:

2 dozen= 24

5 dozen=60

It takes 1 1/8 flour for 1 dozen cookies so 1 1/8 x 5= 5.625 in fraction form that= 5 5/8

5 0
2 years ago
If your car used 19.2 gallons of gas to go 1293.6 miles, how many miles per gallon (mpg) did the car get?
Anna007 [38]
G=m/x
G-gallons
m-miles
x-miles per gallon
19.2= 1293.6/x
x=1293.6/19.2
x= 67.375mpg
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5 0
3 years ago
A motel rents double rooms at $34 per day and single rooms at $26 per day. If 26 rooms were rented one day for a total of $804,
lubasha [3.4K]

Answer: 16 double rooms and 10 single rooms were rented.

Step-by-step explanation:

Let x represent the number of double rooms that were rented.

Let y represent the number of single rooms that were rented.

The total number of rooms rented in a day is 26. It means that

x + y = 26

A motel rents double rooms at $34 per day and single rooms at $26 per day. If all the rooms that were rented for one day cost a total of $804, it means that

34x + 26y = 804 - - - - - - - - - - -1

Substituting x = 26 - y into equation 1, it becomes

34(26 - y) + 26y = 804

884 - 34y + 26y = 804

- 34y + 26y = 804 - 884

- 8y = - 80

y = - 80/ - 8 = 10

x = 26 - y = 26 - 10

x = 16

5 0
3 years ago
4.48 Same observation, difference sample size: Suppose you conduct a hypothesis test based on a sample where the sample size is
Lemur [1.5K]

Answer:

P-value is lesser in the case when n = 500.

Step-by-step explanation:

The formula for z-test statistic can be written as

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } } =\frac{(x-\mu)\sqrt{n}}{\sigma}

here, μ = mean

σ= standard deviation, n= sample size, x= variable.

From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.

We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.

Now, for  first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore,  the P-value will be lesser in the case when n = 500.

6 0
2 years ago
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What are we measuring
4 0
3 years ago
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