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
Crank
3 years ago
10

A communications company offers a variety of calling card options. Card A has a 30¢ connection fee and then costs 2¢ per minute.

Card B has a 10¢ connection fee and then costs 6¢ per minute. Find the length of the call that would cost the same with both cards.
Mathematics
1 answer:
arlik [135]3 years ago
3 0

Answer:

The length of the call that would cost the same with both cards is 5 minutes.

Step-by-step explanation:

Hi there!

The cost with card A can be expressed as follows:

cost A = 30 + 2 · m

Where "m" is the length of the call in minutes.

In the same way, the cost of card B will be:

cost B = 10 + 6 · m

Where "m" is the length of the call in minutes.

We have to find the value of "m" for which the call would cost the same with both cards.

Then:

cost A = cost B

30 + 2 · m = 10 + 6 · m

Subtract 10 and 2 · m to both sides of the equation:

30 - 10 =  6 · m - 2 · m

20 = 4 · m

Divide by 4 both sides of the equation:

20/4 = m

5 = m

The length of the call that would cost the same with both cards is 5 minutes.

Have a nice day!

You might be interested in
Please help.<br> Algebra.
iogann1982 [59]
The answer is b (2,-5)
4 0
2 years ago
To solve 6x=72 do you use the addition property of equality
lawyer [7]

Answer:

No , the division property of equality.

Step-by-step explanation:

The Division Property of Equality states that if you divide both sides of an equation by the same nonzero number, the sides remain equal.

Hope this helps!!

3 0
3 years ago
Marcus is skiing. He is 869 1/10 get up the mountain. He descends to 450 7/10 feet. What is his change in elevation
MatroZZZ [7]

Answer:

418 4/10

Step-by-step explanation:

To answer this we subtract 450 7/10 from 869 1/10.

We must borrow a '1' from 869 1/10:  868 11/10

Now subtract 450 7/10 from 868 11/10:

418 4/10 (CHANGE IN ELEVATION)

This reduces to 418 2/5.

7 0
2 years ago
What is the sum of the geometric sequence 1,3,9... if there were 11 terms?
Delicious77 [7]

Answer:

88,573

Step-by-step explanation:

3 0
3 years ago
The probability of flu symptoms for a person not receiving any treatment is 0.038. In a clinical trial of a common drug used to
alexgriva [62]

Answer:

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 1164, p = 0.038

So

\mu = E(X) = np = 1164*0.038 = 44.232

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = 6.5231

Estimate the probability that at least 47 people experience flu symptoms.

Using continuity correction, this is P(X \geq 47 - 0.5) = P(X \geq 46.5), which is 1 subtracted by the pvalue of Z when X = 46.5.

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

Z = \frac{46.5 - 44.232}{6.5231}

Z = 0.35

Z = 0.35 has a 0.6368

1 - 0.6368 = 0.3632

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

6 0
2 years ago
Other questions:
  • Translate the word phrase into a math expression. 1 fewer than a number.
    12·1 answer
  • Perputation PLZ HELP ME 20 pionts A college questionnaire was distributed among high school students asking each student to rank
    6·2 answers
  • a carpenter needs to make 60 dowels. Each dowel must be 6 inches long. the wood from which the carpenter will cut the dowels com
    10·2 answers
  • If you made a graph to represent a situation where each avocado costs $0.89, what would be the slope of the line?
    14·1 answer
  • A circle with center O is shown. Create the equation for the circle.​
    10·1 answer
  • Pls Answer Quickly! (Only if You know!)
    11·1 answer
  • Cos 25° cos 20° - sin 25° sin 20° please help
    11·1 answer
  • A telephone pole were fixed 50m apart.how many poles were there in 26km??​
    11·1 answer
  • Help if you can if not that’s fine
    11·2 answers
  • Shaun is building a fence around his yard.The dimensions of the area he is fencing is 20.5 yd by 11.25 yd. Shaun has calculated
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!