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FrozenT [24]
3 years ago
8

A cell phone company charges by the minute (and partial minute) for a phone call. Arionna’s plan includes 300 minutes in the $20

base cost. If she uses more than 300 minutes, there is a $5 overage fee and an additional charge of $0.25 per minute. Which graph represents the cost of her plan per minute, where x represents the minutes used and y represents the cost?
A B C D

Mathematics
2 answers:
Allushta [10]3 years ago
4 0
D, or the last graph on the bottom right. The line have to be connected for it to be the line in the question
andre [41]3 years ago
3 0

Answer: First Graph A will be the correct graph for given function.

Explanation: Since, According to the given questions there are two conditions

1- Arionna’s plan includes 300 minutes in the $20 base cost.

That is, function f(x) =20, when 0\leq x \leq 300

2- If she uses more than 300 minutes, there is a $5 overage fee and an additional charge of $0.25 per minute.

That is, function f(x)= 20+5+0.25x ⇒ f(x)= 25+0.25x, when x>300

Thus, we can say that there is a piece wise function of the entire given situation.

Which is f(x)= \begin{cases}20 & \text{ if } 0\leq x\leq 300 \\ 25+.25x & \text{ if } x> 300 \end{cases}

Since, after mapping the graph of above situation we found that It is similar to option A.

Note: according to graph B there is no charge for minutes less than 300 which is wrong. So, it can not be the graph of given situation.

In graph C until completing 300 minutes the charge is continuously increasing. But according to question it is fixed to 20 dollar. So, it can not be the graph of given situation.

In graph D except charge of per minute there is no overage fee for more than 300 minutes. which is also wrong.So, it can not be the graph of given situation.

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Anna has $430. She wants to buy a phone that costs $275. Anna will also have to pay a sales tax of 7%.
ki77a [65]
19.25 (tax)
294.25 (total price)
135.75 (money left)

REASONING:

In this word problem it says Anna has 430 dollars. The phone costs 275 dollars. It also says that when she buys the phone, she will have to pay a tax of 7%.

To find how much tax she will pay, we must do [275] x [0.07]

After inputting this into a calculator, you will get 19.25 (tax)


To find the total price, all you have to do is add 19.25 to 275. When you do this, you will get 294.25 dollars (total price)


To find how much money she has left,

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3 years ago
HI! I HAVE A TEST ON MONDAY AND IM TRYING TO STUDY, IM KINDA STUCK ON HOW TO DO THIS PROBLEM..
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Answer: See below

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number of yellow pieces/number of blue pieces

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The ratio that represents the number of yellow pieces to the total number of pieces is part-to-whole

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Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

H_0: \mu = 16

At the alternative hypothesis, it is tested if the mean is different, hence:

H_1: \mu \neq 16

<h3>What is the test statistic?</h3>

The test statistic is:

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

In which:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the population.
  • n is the sample size.

The parameters for this problem are:

\overline{x} = 15.75, \mu = 16, \sigma = 1.46, n = 150.

Hence:

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

z = \frac{15.75 - 16}{\frac{1.46}{\sqrt{150}}}

z = -2.1

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.

Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

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