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Paraphin [41]
3 years ago
13

Terrence leaves a $3 tip at a restaurant. If that tip is equal to 15% of his total bill, what is his total bill?​

Mathematics
2 answers:
lakkis [162]3 years ago
7 0

Answer:

$20

Step-by-step explanation:

To find the total bill, divide the tip amount by 0.15

3/0.15

= 20

So, his total bill was $20

prohojiy [21]3 years ago
5 0
Since the tip ($3) is 15% of the total bill, we can find Terrence’s total bill by dividing his tip with 15%.

3 ÷ 15%

= 3 ÷ 15/100

= 3 x 100/15

= 300/15

= 20

His total bill is $20
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3 years ago
Analyze the asymptotes of the function.
koban [17]

Answer:

vertical asymptote at x=-1

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Step-by-step explanation:

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To find vertical asymptote we set the denominator =0 and solve for x

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5 0
3 years ago
Consider a Poisson distribution with μ = 6.
bearhunter [10]

Answer:

a) P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}

b) f(2) = 0.04462

c) f(1) = 0.01487

d) P(X \geq 2) = 0.93803

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of successes

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

In this question:

\mu = 6

a. Write the appropriate Poisson probability function.

Considering \mu = 6

P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}

b. Compute f (2).

This is P(X = 2). So

P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}

P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462

So f(2) = 0.04462

c. Compute f (1).

This is P(X = 1). So

P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}

P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487

So f(1) = 0.01487.

d. Compute P(x≥2)

This is:

P(X \geq 2) = 1 - P(X < 2)

In which:

P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}

P(X = 0) = \frac{e^{-6}*6^{0}}{(0)!} = 0.00248

P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487

P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462

Then

P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00248 + 0.01487 + 0.04462 = 0.06197

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.06197 = 0.93803

So

P(X \geq 2) = 0.93803

5 0
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Answer:

See Below.

Step-by-step explanation:

Paragraph Proof:

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2-Column Proof

 Statements                                               Reasons:

1) \angle 1\cong \angle 4                                                    Given

2) \text{The two lines are parallel}                        Alternate Exterior Angles Converse

3) \angle 3\cong \angle 2                                                  Alternate Interior Angles Theorem

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