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Goshia [24]
3 years ago
15

Troy signed up for a new cell phone plan which charges him a fee of $40 per month, plus $0.05 for each text message ( t) that he

sends. If Troy wants to spend at most $70 on his cell phone bill this month, which inequality below can be used to determine the number of text messages that he can send?
Mathematics
1 answer:
Daniel [21]3 years ago
7 0

From what I can tell, the inequality is:

40 + .5t ≤ 70

Is that one of your options?

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A baker blends 600 raisins and 400 chocolate chips into a dough mix and, from this, makes 500 cookies. (a) Find the probability
Nina [5.8K]

Answer:

a) P(X = 0) for raisins = 0.33287

b) P(X = 2) for chocolate chips = 0.14379

c) P(X ≥ 2) for both bits = 0.59399

Step-by-step explanation:

The average amount of raisin per cookie is 600/500 = 1.2

The average amount of chocolate chips per cookie = 400/500 = 0.8

a) Using Poisson's distribution function

P(X = x) = (e^-λ)(λˣ)/x!

For raisin, Mean = λ = 1.1

x = 0

P(X = 0) = (e⁻¹•¹)(1.1⁰)/(0!) = 0.33287

b) Using Poisson's distribution function

P(X = x) = (e^-λ)(λˣ)/x!

For chocolate chips, Mean = λ = 0.8

x = 2

P(X = 2) = (e⁻⁰•⁸)(0.8²)/(2!) = 0.14379

c) the probability that a randomly chosen cookie will have at least two bits (raisins or chips) in it.

For this, the average number of bit in a raisin = (600+400)/500 = 2 bits per raisin.

P(X ≥ 2) = 1 - [P(X = 0) + P(X = 1)]

For P(X = 0)

P(X = x) = (e^-λ)(λˣ)/x!

Mean = λ = 2

x = 0

P(X = 0) = (e⁻²)(2⁰)/(0!) = 0.13534

For P(X = 1)

P(X = x) = (e^-λ)(λˣ)/x!

Mean = λ = 2

x = 1

P(X = 1) = (e⁻²)(2¹)/(1!) = 0.27067

P(X ≥ 2) = 1 - [P(X = 0) + P(X = 1)]

P(X ≥ 2) = 1 - (0.13534 + 0.27067) = 1 - 0.40601 = 0.59399

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You and a friend are playing a game by tossing two coins. If both coins land
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c. No. You have a probability of winning, while your friend has a
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Read 2 more answers
Need help with this math​
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Answer:

About 22.7 millions

Step-by-step explanation:

Latin America 58%

App. 39.1 million = 39,100,000

People were born in Latin America:

0.58 x 39100000 = 22,678,000

Round to the nearest tenth million = 22.7 millions

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Answer:

x=4

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