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Kamila [148]
3 years ago
11

A telephone company offers a monthly cellular phone plan for $ 39.99 It includes 300 anytime minutes plus $ 0.25 per minute for

additional minutes.
The following function is used to compute the monthly cost for a​ subscriber, where x is the number of anytime minutes used.

Upper C left parenthesis x right parenthesis equalsC(x) =39.99
if 0 less than x less than or equals 3000 < x ≤300
0.25 x minus 35.010.25x−35.01
if x greater than 300x > 300
Compute the monthly cost of the cellular phone for use of the following anytime minutes.
​(a)  170=$
​(b)  335=$
​(c)  301=$
Mathematics
1 answer:
Nataly [62]3 years ago
3 0
A. 39.99 
b. 39.99 + 0.25(35) = 48.74
c. 39.99 + 0.25(1) = 40.24
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The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they
satela [25.4K]

Answer:

Total cost= $86.25

Step-by-step explanation:

Giving the following information:

Discount= 10%

Nill= $82.5

Tip= 15%

<u>First, we need to calculate the discounted price:</u>

Discount price= 82.5 / 1.1= $75

<u>Now, the tip:</u>

Tip= 75*0.15= $11.25

<u>Finally, the total cost:</u>

Total cost= 75 + 11.25

Total cost= $86.25

3 0
3 years ago
A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that
ZanzabumX [31]

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 80.2, \sigma = 11

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{63.7 - 80.2}{11}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

93.32% probability that a randomly selected score will be greater than 63.7.

5 0
3 years ago
Help with this plz what is the slope and the y intercept
GREYUIT [131]
Https://youtu.be/Qo1_xkv2w_M
4 0
3 years ago
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Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.
yarga [219]

9514 1404 393

Answer:

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  • Jack is 8

Step-by-step explanation:

Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...

  k + (k -5) = 21

  2k = 26 . . . . . . . add 5, collect terms

  k = 13 . . . . . . . . . divide by 2; Kim's age

  k -5 = 8 . . . . . . . Jack's age

Kim is 13; Jack is 8.

7 0
2 years ago
How many terms are there in the following expression: 3a + 3ab + 7b – 2c – 4d
Anastasy [175]
Lets count...
3a...thats 1 term
3ab...thats 2
7b....thats 3
-2c....movin on up to 4
-4d....and we end at 5

so this expression has 5 terms since none of the terms can be combined :)
3 0
3 years ago
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