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Lisa [10]
3 years ago
5

The cone shown has a diameter of 18 meters and a slant height of 15 meters .Which choice is closest to the lateral surface area?

Use 3.14 to approximate.
Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

Cone diameter = 18 m therefore radius = 9 m

Lateral Area = PI * radius * slant height

Lateral Area = 3.14 * 9 * 15 = 423.90 square meters

Step-by-step explanation:

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After arriving at the university student medical clinic, the waiting times to receive service after checking-in follow an expone
Marina CMI [18]

Answer:

6 students are served per hour.

45.12% probability a student waits less than 6 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

mean of 10 minutes.

This means that m = 10, so \mu = \frac{1}{10} = 0.1

How many students are served per hour?

One student is served each 10 minutes, on average

An hour has 60 minutes

60/10 = 6

6 students are served per hour.

Calculate the probability a student waits less than 6 minutes.

P(X \leq x) = 1 - e^{-0.1*6} = 0.4512

45.12% probability a student waits less than 6 minutes.

5 0
3 years ago
Formulate the recursive formula for the following geometric sequence.
Katyanochek1 [597]

Answer:

a_n=-\frac{1}{4 a_{n-1}

Step-by-step explanation:

The recursive formula for the geometric sequence is given by:

a_n = a_{n-1} \cdot r

where,

r is the common ratio terms

-16, 4, -1, ...

This is a geometric sequence.

Here,  and

Since,

ans so on .....

Substitute the given values we have;

⇒

Therefore, the recursive formula for the following geometric sequence is,

8 0
3 years ago
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The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Co
Dvinal [7]
Explanation: As the least common multiple of two numbers is 60 , the two numbers are factors of 60 . Among {1,2,3,4,5,6,10,12,15,20,30,60} ,5 & 12 is the only two pair of numbers whose difference is 7 .

Answer: 5 & 12
8 0
3 years ago
Rosanne is training for the Austin marathon, so she plans to run 10 miles in her neighborhood this weekend. It usually takes her
PolarNik [594]

Answer:2.5 cups

Step-by-step explanation:

Given

Rosanne runs 6 miles in an hour

If she drinks 0.5 cups of water every  \frac{1}{3}  of an hour

So in 1 hour Rosanne drinks 1.5 cups

So, for 6 miles Rosanne drinks 1.5 cups

i.e. For   1\ mile \quad \equiv \quad \frac{1}{4}\ \text{cup}

for    10\ mile\quad \equiv \quad \frac{10}{4}\ \text{cup}

=2.5\ \text{cup}

6 0
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Which of these sets of angle measures could be three angles in a triangle
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It’s going to be B. 50+60+70=180 which is how many degrees are in a triangle.
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