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hichkok12 [17]
3 years ago
9

Dr.Lee's dentist practices is open for 7 hours each day. His receptionist schedules appointments, allowing 1/2 hour for a cleani

ng and 1 hour to fill a cavity. He charges $40 for a cleaning and $95 for a filling.Dr.Lee cannot do more than 4 fillings per day.Find the number of each type of appointment that maximize Dr.Lee's income for the day.

Mathematics
1 answer:
Maurinko [17]3 years ago
4 0

Step-by-step explanation:

Below is an attachment containing the solution.

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All of the houses on Algebra Avenue in Mathopolis are either two or three stories high. The Mathemagician assures you that the t
padilas [110]

Answer:

The number of houses on Algebra Avenue are 76 houses

Step-by-step explanation:

The given information are;

Buildings on Algebra Avenue in Mathpolis = 2 or 3 stories high

Total number of stories = 95 + Total number of houses

The number of two-story houses = 3× The number of three-story houses

Let the number of three-story houses = X

Therefore, the number of two-story houses = 3 × X

Total number of stories = 3×X + 2×3×X = 9·X

The total number of houses = X + 3 × X = 4·X

Given that, the total number of stories = 95 + Total number of houses, we have;

9·X = 95 + 4·X

9·X - 4·X = 95

5·X = 95

X = 95/5 = 19

X = 19

The total number of houses = 4·X

Therefore, the total number of houses = 4 × 19 = 76 Houses.

7 0
4 years ago
Describe the 4 cases to look out for when dealing with adding or subtracting integers
Norma-Jean [14]

Answer:

Step 1: Take the absolute value of each number. Step 2: Subtract the number with a smaller absolute value from the number with bigger or larger absolute value. Step 3: Copy the sign of the number with the bigger or larger absolute value.

Step-by-step explanation:

7 0
3 years ago
What is the slope of (10, 10) and (2, 1).
defon

Answer:

9/8

Step-by-step explanation:

my work is in the picture. lmk if you'd like me to explain more

8 0
3 years ago
Dan invests £13000 into his bank account. He receives 2.3% per year simple interest. How much will Dan have after 4 years? Give
frozen [14]

Answer:

=14237.90

Step-by-step explanation:

13000*1.023^4=14237.89832

=14237.90

8 0
3 years ago
The probability that a randomly selected teenager watched a rented video at least once during a week was 0.75. What is the proba
Whitepunk [10]

Answer:

There is a 75.65% probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week.

Step-by-step explanation:

For each teenager, there are only two possible outcomes. Either they watched a rented video at least once during a week, or they did not. This means that we can solve this problem using the binomial probability distribution.

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 combinatios 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.

In this problem we have that:

The probability that a randomly selected teenager watched a rented video at least once during a week was 0.75. This means that p = 0.75.

What is the probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week?

Group of 7, so n = 7.

P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7).

In which

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

P(X = 5) = C_{7,5}.(0.75)^{5}.(0.25)^{2} = 0.3115

P(X = 6) = C_{7,6}.(0.75)^{6}.(0.25)^{1} = 0.3115

P(X = 7) = C_{7,7}.(0.75)^{7}.(0.25)^{0} = 0.1335

So

P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) = 0.3115 + 0.3115 + 0.1335 = 0.7565.

There is a 75.65% probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week.

3 0
3 years ago
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