1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rewona [7]
2 years ago
13

A cell phone plan charges $15$15 per month for 300300 text messages. The plan charges $0.08$0.08 for each additional text messag

e. You use 6060 additional texts this month. What is your bill for the month?
Mathematics
1 answer:
Reika [66]2 years ago
3 0

The company charges 15 dollars per month for first 300 text messages and thereafter 0.08 dollars for any additional text message.

It says that we used additional 60 text messages (after fair usage of first 300 messages in the plan).

Our bill for this month would be sum of charges for 300 messages and charges for additional 60 messages.

Total bill = 15 dollars + 60x0.08 dollars = (15 + 4.80) dollars.

Total bill = 19.80 dollars.

Hence, our bill this month would be 19.80 dollars.

You might be interested in
The composite scores of individual students on the ACT college entrance examination in 2009 followed a normal distribution with
Mumz [18]

Answer:

35.57% probability that a single student randomly chosen from all those taking the test scores 23 or higher.

0.41% probability that a simple random sample of 50 students chosen from all those taking the test has an average score of 23 or higher.

The lower the standard deviation, the higher the z-score, which means that the higher the pvalue of X = 23, which means there is a lower probability of scoring above 23. By the Central Limit Theorem, as the sample size increases, the standard deviation decreases, which means that Z increases.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 21.1, \sigma = 5.1

What is the probability that a single student randomly chosen from all those taking the test scores 23 or higher?

This is the pvalue of Z when X = 23.

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

Z = \frac{23 - 21.1}{5.1}

Z = 0.37

Z = 0.37 has a pvalue of 0.6443

1 - 0.6443 = 0.3557

35.57% probability that a single student randomly chosen from all those taking the test scores 23 or higher.

What is the probability that a simple random sample of 50 students chosen from all those taking the test has an average score of 23 or higher?

Now we use the central limit theorem, so n = 50, s = \frac{5.1}{\sqrt{50}} = 0.72

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

Z = \frac{23 - 21.1}{0.72}

Z = 2.64

Z = 2.64 has a pvalue of 0.9959

1 - 0.9959 = 0.0041

0.41% probability that a simple random sample of 50 students chosen from all those taking the test has an average score of 23 or higher.

Why is it more likely that a single student would score this high instead of the sample of students?

The lower the standard deviation, the higher the z-score, which means that the higher the pvalue of X = 23, which means there is a lower probability of scoring above 23. By the Central Limit Theorem, as the sample size increases, the standard deviation decreases, which means that Z increases.

5 0
3 years ago
Uhhhhhhhhhhhhhhhhhh what is 2+2-1=?????????
gregori [183]
2+2-1=3
2+2=4
And 4 minus 1 equals 3
8 0
3 years ago
Ira wants to buy a skateboard. She paid $120 including the sales tax of 7%.
satela [25.4K]
the original cost was $111.60.
8 0
3 years ago
Jan walks 40 meters in 15 seconds what is her rate?
schepotkina [342]
The answer is 2.67 seconds per second when rounded but 2.66666...
6 0
3 years ago
A chef buys a 1-gallon jug of milk for a cookie recipe. He first uses 1/4 of the milk. Then he uses 2/3 of the remaining milk. H
inn [45]

Answer:

1/12 of a jug is what is left

3 0
3 years ago
Other questions:
  • Are these two triangles similar? How can you tell?
    15·1 answer
  • Sam wants to get the new iPhone 6 that costs $750. He already has $60 saved toward the cost. How much will he have to save per m
    15·2 answers
  • Jensen and Raju had the same amount of money at first. After Jensen spent
    14·1 answer
  • Write an inequality for the graph.
    13·2 answers
  • A rectangular cabinet is 5 feet long, 2 feet wide, and 3 feet tall. What is the surface area of the cabinet? Please help
    15·1 answer
  • There are 32 customer in for checkout Lanes how many customers are in 7 check out lanes ​
    8·1 answer
  • £200 into the ratio 3:5
    6·1 answer
  • 2. Explain how the graph of x > 5 is different from the graph of x 5.
    11·1 answer
  • True or false: 1-51 = -5?
    12·2 answers
  • In a basket, half the fruits are Apples and one fourth the total are Bananas. The remaining fruits are 8 Pears. How many apples
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!