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2 years ago

A waitress earned $73 for 6 hours of work. The total included $46 in tips. What was her hourly wage?

Mathematics

2 answers:

Virty [35]2 years ago

8 0

Answer: $4.50 per hour

Step-by-step explanation:

First, find how much she earned, excluding the tips.

73-46= 27

She earned $27 in the 6 hours, without tips

To find her hourly wage, you divide 27 by six because, since she worked 6 hours to earn $27, we need to find the unit rate.

27/6 = 4 dollars 50 cents.

nadezda [96]2 years ago

5 0

Answer: $4.5/hour

Step-by-step explanation:

Total earned in 6 hours subtracted tips equals wage over 6 hours.

Divide by 6 hours to find individual hourly wage.

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A triangle has angles measuring 58 and 93 degrees. What is the measure of the third angle?

wolverine [178]

The third angle is 29 degrees.

180 - 58 - 93 = 29

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2 years ago

A baseball is struck by a batter at an angle such that it reaches its maximum height at the location of the pitcher – and just g

Kobotan [32]

Answer:

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Step-by-step explanation:

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3 0

2 years ago

A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters

natita [175]

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

70% of all eligible voters will vote in the next presidential election.

This means that $p = 0.7$

20 eligible voters were randomly selected from the population of all eligible voters.

This means that $n = 20$

What is the probability that fewer than 11 of them will vote?

This is:

$P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308$

$P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120$

$P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039$

$P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010$

$P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002$

$P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0$

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

$P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479$

0.0479 = 4.79% probability that fewer than 11 of them will vote

8 0

2 years ago

A triangle has sides of length 48 mm, 5cm and 1.4 cm.

cricket20 [7]

Answer:

The triangle is a right-angled triangle.

Step-by-step explanation:

Hi there,

I have included the answers as image format to the answers.

If you found my answer helpful, then please do me a favor by marking me as the brainliest as it means a lot to me.

From a fellow student,

Good day ahead, :)

Dan

5 0

2 years ago

You purchase a car using a $18,000 loan with a 5% simple interest rate. Suppose you pay the loan off after 3 years. How much int

noname [10]

Answer: $2,700

Step-by-step explanation:

$18,000 times 5% = 900

900 times 3 is 2,700

Therefore your answer will be 2,700

4 0

2 years ago