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vichka [17]
3 years ago
15

Katherine is considering two new cell phone plans. She doesn't want to spend more for minutes she won't use. One plan allows up

to 250 minutes per month for $49, and the other plan allows up to 350 minutes per month for $65. In the last 6 months, she used 1,479 minutes. Use estimating and an exact answer to determine the best cell phone plan for Katherine.
Mathematics
1 answer:
mojhsa [17]3 years ago
8 0

Answer:

The first plan of $49 will be best plan for her.

Step-by-step explanation:

Katherine used 1479 minutes call in the last 6 months.

So, the average monthly call that Katherine made is \frac{1479}{6} =246.5 minutes.

Now, there are two plans for mobile recharge.

One is 250 minutes call time for $49 and the other is 350 minutes call time for $65.

Since 246.5 < 250 and Katherine does not want to spend more for minutes she won't use, then the first plan of $49 will be the best plan for her. (Answer)

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In a recent​ year, an author wrote 171 checks. Use the Poisson distribution to find the probability​ that, on a randomly selecte
sveticcg [70]

Answer: 0.3741

Step-by-step explanation:

Poison probability ;

P(x) = [U(^x) e(^-U)] ÷ x!

Where U = mean

Note: e = exponential symbol

Number of checks that year = 171

Number of days in a year = 365

U = 171/365 = 0.468

Average checks per day = 0.4685

Probability that at least one check was written per day is can be calculated by;

P(not 0) = 1 - P(0)

Therefore,

P(x) = [U(^x) e(^-U)] ÷ x!

P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!

P(0) = [ 1 * 0.6259] ÷ 1

P(0) = 0.6259

Therefore,

P(not 0) = 1 - 0.6259 = 0.3741

4 0
3 years ago
What is the equation of the line containing the points (3, 1), (9, 3), and (27, 9)?
lutik1710 [3]

From the given points that are (3,1),(9,3),(27,9), we can say that x is three times of y. That is

x= 3y

And we need to solve for y. For that, we need to get rid of 3 from the right side by dividing both sides by 3 . And on doing so , we will get

\frac{x}{3} = \frac{3y}{3}

\frac{x}{3}=y

or

y=\frac{x}{3}

7 0
3 years ago
Whoever gets this answered will get 15 points. Pls answer quickly
mihalych1998 [28]

Answer:

76%

Step-by-step explanation:

First parts right

75.7% i think maybe

8 0
3 years ago
A marine biologist monitors the population of sunfish in a small lake. He records 800 sunfish in his first year, 600 sunfish in
Colt1911 [192]

Answer:

Let's use the variable y to represent the number of years passed since the first year.

The population on the first year (y = 0) was 800

The population in the second year (y = 1) was 600.

The ratio in which the population decreased can be calculated as:

R = 600/800 = 0.75

This means that 600 is the 75% of 800, this also means that between the first year and the second year, the population decreased by the 25%

Now let's look at the ratio between the second and third year (y = 2), the population the third year was 450

Now the ratio is:

R = 450/600 = 0.75

Same as before, then we already can see that the population will decrease by 25% each year.

The generic exponential decay equation is:

f(y) = A*(1  - r)^y

where:

A = initial population, in this case, is 800

y = our variable, in this case, represents the number of years

r = the amount that decreases per each unit of our variable, this must be written in decimal form. In this case, we know that the population decreases by 25% each year, and 25% written in decimal form is 0.25

Also, (1 - r) = R, where R is the ratio we found earlier.

To do this, we just divide 25% by 100% to get (25%/100% = 0.25)

Then our equation will be:

f(y) = 800*(1 - 0.25)^y

f(y) = 800*( 0.75)^y

1) We want to predict when the population will be 200.

to do this, we set:

f(y) = 200 = 800*( 0.75)^y

and solve it for y.

(200/800) = 0.75^y

(1/4) = 0.75^y

Now we can use the relationship:

Ln(a^x) = x*ln(a)

Then let's apply Ln( ) in both sides to get

ln(1/4) = y*ln(0.75)

ln(1/4)/ln(0.75) = y = 4.8 years.

This means that 4.8 years after the first year, the population will be around 200.

2) The population in the 25 th year (this is 24 years after the first one, so we take y = 24) is:

f(24) = 800*(0.75)^(24) = 0.80

Around this point, we will have no more sunfish in the lake.

7 0
3 years ago
Nick has 30 coins in his pocket. Some coins are nickels. Some are dimes. The total value of all of the coins in his pocket is $1
HACTEHA [7]
X + y= 30
.05x + .10y= 1.65

n + d = 30
5n + 10d = 165

-5n - 5d = -150
5n + 10d = 165

5d = 15

d = 3 dimes

n + 3 = 30

n= 27 nickels
6 0
3 years ago
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