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shusha [124]
2 years ago
7

There are two cell phone plans available from Cells Phones R Us company. Plan A charges $35 a month plus $0.05 for every text me

ssage. Plan B charges $50 a month plus $0.01 for every text message. How many text messages do you need to send in order for Plan A to cost the same as Plan B?
Mathematics
1 answer:
Yuri [45]2 years ago
5 0

if PLAN A is cheaper than PLAN B then,

P (A) < P (B)

30+0.01t < 20+0.05t      (subtract 0.05t from both sides)

29.95-0.04t < 19.95        (subtract 29.95 from both sides)

-0.04t < -10                      (divide both sides by -0.04)

t > 250

So plan A is cheaper than plan B when you send more than 250 texts.

Hope it helps.

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Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round y
tino4ka555 [31]

Answer:

0.8762 or 87.62%

Step-by-step explanation:

Since our mean is μ=14.3 and our standard deviation is σ=3.7.  If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:

z=\frac{x-\mu}{\sigma}

Our x value ranges from 10 to 26 therefore let x=10 and we obtain:

z=\frac{10-14.3}{3.7} =-1.16\\

If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.

Now let's calculate the z value when x = 26 and so:

z=\frac{26-14.3}{3.7}=3.16\\

Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.

Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:

0.9992 - 0.1230 = 0.8762

or 87.62%

7 0
3 years ago
Hey! can u help me with this?! 6 divided by 3/5 in fraction form!?!?!!?
frutty [35]

Answer:

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Step-by-step explanation:

You do

6÷ 3/5

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4 0
3 years ago
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Dennis_Churaev [7]

Answer:

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Step-by-step explanation:

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3 years ago
Math 8: Linear Functions, Part 2
Studentka2010 [4]

Answer:

\boxed{\text{1. y + 5 = -4(x - 3); \qquad 2. y - 8 = x + 1}}

Step-by-step explanation:

Question 1

The point-slope formula for a straight line is

y – y₁ = m(x – x₁)

x₁ = 3; y₁ = -5; m = -4  

Substitute the values

\boxed{\textbf{y + 5 = -4(x - 3)}}

The diagram shows the graph of equation 1 (red) with slope -4 passing through (3,-5).

Question 2

x₁ = -1; y₁ = 8; m = 1  

Substitute the values

\boxed{\textbf{y - 8 = x + 1}}

The diagram shows the graph of equation 2 (green) with slope 1 passing through (-1,8).

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3 years ago
What is the inverse of A(r)=15+3r
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A(r)=15-3r

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