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lakkis [162]
3 years ago
9

Alexis cell phone company charges her $35 a month for phone service plus $0.40 for each text message. How many text message does

Alexis send in a month if her bill was $72?
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
8 0

Answer:

$92.50

Step-by-step explanation:

$72 - $35 = 37

37 / 0.40 = 92.5

Answer = $92.50

You might be interested in
Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye
Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}

We have also the set of sales of boat accesories S_b, the colored one in the image.

We are given the data:

P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2

From these relations you can compute the probabilities of the intersections colored in the image:

pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08

You are asked about the conditional probability:

P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}

To calculate this, you need  P(S_b) . In the image you can see that the set S_b is the union of the two disjoint pink and blue sets. Then:

P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32

Finally:

P(S_s|S_b) = \frac{0.24}{0.32}=0.75

4 0
4 years ago
Absolute vale of -5-i?
nikitadnepr [17]

Answer:

5+i

Step-by-step explanation:

4 0
3 years ago
Part A
Trava [24]

Answer:

The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x

Step-by-step explanation:

The given parameters are;

The increase in water usage for both regular days and special event for the current year = 20%

The water usage for last year regular days = 13,505 gallons

The water usage per special event = 18.5 gallons

The total water usage = 13,616 gallons

Therefore, we have;

The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons

The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons

The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;

U = 16,206 gallons + x × 22.2 gallons

∴ The total water usage at the park this year, U = 16,206 + 22.2·x

7 0
3 years ago
Read 2 more answers
You decide to use the larger suitcase to transport rectangular prism watermelons back home. Though their dimensions vary, the av
vampirchik [111]
So the formula for volume is V=(l)(w)(h)
They already gave you the volume so it’s just basic algebra.
730= 10x(9)
81= 10x
8.1=x

So x is equal to 8.1 but in the question it’s say about which indicates to round it so it should be 8 but I’m not 100% sure.
7 0
3 years ago
Read 2 more answers
 A store that buys and sells used video games buys a game at a cost of ​$415 and sells it at a selling price of ​$477.25. Find t
PilotLPTM [1.2K]

The markup value = $62.25

The mark up percentage = 15%

Step-by-step explanation:

Step 1 :

Cost price of the video game = $415

Selling price of the video game = $477.25

We need to find the mark up value and the markup percentage

Step 2 :

The markup value can be computed by taking the difference of the selling and the cost price.

Hence the markup = $477.25-$415 = $62.25

The markup percentage is computed on the cost price

so the mark up percentage =( 62.25 ÷ 415) × 100 = 15%

Step 3 :

Answer :

The markup value = $62.25

The mark up percentage = 15%

6 0
3 years ago
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