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
joja [24]
2 years ago
14

A cell phone provider offers a plan that costs $20 per month plus $0.20 per text message sent or received. A comparable plan cos

ts
$30 per month but offers unlimited text messaging. Complete parts a. and b. below.
a. How many text messages would have to be sent or received in order for the plans to cost the same each month?
In order for the plans to cost the same.
text messages would have to be sent or received
b. If you send or receive an average of 200 text messages each month which plan would you choose and why?​
Mathematics
2 answers:
USPshnik [31]2 years ago
8 0
They would have sent 5
guapka [62]2 years ago
6 0

Answer:

Step-by-step explanation:

a)

30=20+0.2m

10=0.2m

50=m

So after sending 20 messages the plans would cost the same.

b)

Obviously from the first part that the unlimited plan is cheaper when sending 200 messages, but the costs numerically would be.

Unlimited plan costs $30 while the other plan costs

20+0.2(200)=$60

You might be interested in
. upper left chamber is enlarged, the risk of heart problems is increased. The paper "Left Atrial Size Increases with Body Mass
Sonbull [250]

Answer:

Part 1

(a) 0.28434

(b) 0.43441

(c) 29.9 mm

Part 2

(a) 0.97722

Step-by-step explanation:

There are two questions here. We'll break them into two.

Part 1.

This is a normal distribution problem healthy children having the size of their left atrial diameters normally distributed with

Mean = μ = 26.4 mm

Standard deviation = σ = 4.2 mm

a) proportion of healthy children have left atrial diameters less than 24 mm

P(x < 24)

We first normalize/standardize 24 mm

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (24 - 26.4)/4.2 = -0.57

The required probability

P(x < 24) = P(z < -0.57)

We'll use data from the normal probability table for these probabilities

P(x < 24) = P(z < -0.57) = 0.28434

b) proportion of healthy children have left atrial diameters between 25 and 30 mm

P(25 < x < 30)

We first normalize/standardize 25 mm and 30 mm

For 25 mm

z = (x - μ)/σ = (25 - 26.4)/4.2 = -0.33

For 30 mm

z = (x - μ)/σ = (30 - 26.4)/4.2 = 0.86

The required probability

P(25 < x < 30) = P(-0.33 < z < 0.86)

We'll use data from the normal probability table for these probabilities

P(25 < x < 30) = P(-0.33 < z < 0.86)

= P(z < 0.86) - P(z < -0.33)

= 0.80511 - 0.37070 = 0.43441

c) For healthy children, what is the value for which only about 20% have a larger left atrial diameter.

Let the value be x' and its z-score be z'

P(x > x') = P(z > z') = 20% = 0.20

P(z > z') = 1 - P(z ≤ z') = 0.20

P(z ≤ z') = 0.80

Using normal distribution tables

z' = 0.842

z' = (x' - μ)/σ

0.842 = (x' - 26.4)/4.2

x' = 29.9364 = 29.9 mm

Part 2

Population mean = μ = 65 mm

Population Standard deviation = σ = 5 mm

The central limit theory explains that the sampling distribution extracted from this distribution will approximate a normal distribution with

Sample mean = Population mean

¯x = μₓ = μ = 65 mm

Standard deviation of the distribution of sample means = σₓ = (σ/√n)

where n = Sample size = 100

σₓ = (5/√100) = 0.5 mm

So, probability that the sample mean distance ¯x for these 100 will be between 64 and 67 mm = P(64 < x < 67)

We first normalize/standardize 64 mm and 67 mm

For 64 mm

z = (x - μ)/σ = (64 - 65)/0.5 = -2.00

For 67 mm

z = (x - μ)/σ = (67 - 65)/0.5 = 4.00

The required probability

P(64 < x < 67) = P(-2.00 < z < 4.00)

We'll use data from the normal probability table for these probabilities

P(64 < x < 67) = P(-2.00 < z < 4.00)

= P(z < 4.00) - P(z < -2.00)

= 0.99997 - 0.02275 = 0.97722

Hope this Helps!!!

7 0
3 years ago
How many hours does antoine sleep in a day
guajiro [1.7K]
Antoine sleep 8 hours in a day
5 0
3 years ago
Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65
Slav-nsk [51]

The order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

<h3>How to Order a Set of Decimal Numbers?</h3>

When considering the order of a set of decimal numbers, the value larger the digit that is close to the decimal point, the larger the decimal number, and vice versa.

Given the following set of decimal numbers, 7.321, 7.3, 7.065, 7.65.

Notice that all decimal numbers start with 7. So, the digit close to the decimal point is what we will consider to determine which decimal number is greater or the least.

The decimal number that has the greater digit that is close to the decimal point is, 7.65, followed by 7.321, then 7.3.

The decimal number with the least digit closer to the decimal point is 7.065.

Therefore, the order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

Learn more about order of decimal numbers on:

brainly.com/question/20603315

#SPJ1

6 0
2 years ago
Issac put $5 in a shoe box every day for the months of april, may, and june. He then spent 75% of the money on baseball cards. H
igor_vitrenko [27]
As of 2021:
April-$150
May-$155
June-$150
Total-$455
Spent 75%=455/100x75
=341.25
455-341.25=$113.75
Round off to 3sf: $114
Have a good day
3 0
3 years ago
Two pounds of grapes cost 6$ what number belongs in the most right empty cell?
sdas [7]

Answer:

Table shown below

Step-by-step explanation:

Table shown below

To solve this problem let's use proportions.

If 2 pounds of grapes cost $6, half the amount will cost half the dollars, so the last row will have $3 in the price

For the second row, we know the price is $1, that is, one-sixth of the original given price. It should correspond to one-sixth of the amount of grapes or 2/6 pounds.

Simplifying the fraction, we get 1/3 or 0.33 pounds

6 0
3 years ago
Other questions:
  • Please help meeee!!!! :)
    14·2 answers
  • Plz help me<br><br> I want to solve the two questions in the picture plz
    12·1 answer
  • Pls help, <br><br> 6(d+1)−2d=54
    8·1 answer
  • How do you create a model for 0.33 divided by 3
    11·2 answers
  • Which point is on the graph of f (x)=4^x
    12·2 answers
  • Find the exact value of cos A in simplest radical form
    7·1 answer
  • What does x and y equal
    5·2 answers
  • The sum of three consecutive integers is -51 what is the value of the smallest number
    14·1 answer
  • 525 divided 5 = what ? R ?
    6·2 answers
  • A. 12/35<br> B. 35/12<br> C. 35/37<br> D. 12/37
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!