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german
3 years ago
14

How to calculate the area of a triangle with the hypotenuse as an arc?

Mathematics
1 answer:
agasfer [191]3 years ago
7 0
The arc of the triangle 
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Find the distance, to the nearest tenth, between (6, 5) and (-3, -4).
labwork [276]

Answer:

12.70

Step-by-step explanation:

7 0
3 years ago
16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours
Reika [66]

Answer:

a) 23.11% probability of making exactly four sales.

b) 1.38% probability of making no sales.

c) 16.78% probability of making exactly two sales.

d) The mean number of sales in the two-hour period is 3.6.

Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So we use the binomial probability distribution 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.

A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours, find:

Six calls per hour, 2 hours. So

n = 2*6 = 12

Sale on 30% of these calls, so p = 0.3

a. The probability of making exactly four sales.

This is P(X = 4).

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

P(X = 4) = C_{12,4}.(0.3)^{4}.(0.7)^{8} = 0.2311

23.11% probability of making exactly four sales.

b. The probability of making no sales.

This is P(X = 0).

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

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

1.38% probability of making no sales.

c. The probability of making exactly two sales.

This is P(X = 2).

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

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

16.78% probability of making exactly two sales.

d. The mean number of sales in the two-hour period.

The mean of the binomia distribution is

E(X) = np

So

E(X) = 12*0.3 = 3.6

The mean number of sales in the two-hour period is 3.6.

4 0
3 years ago
3^3/5-2<br> -(4-2)^2/2<br> If it doesn’t compute it’s my fault.
lara31 [8.8K]

Answer:

1

Step-by-step explanation:

3^3/5-3-(4-2)^2/2

3^3/3-2^2/2

3-2

=1

6 0
3 years ago
Tyrone saved 24$ of the 60 that he earned mowing lawns .what percent of his earnings did tyrone save
mezya [45]
If 24 of the 60 were saved then the percent saved is

(24/60) x 100

Let's imagine for a second that all 60 was saved, then 100% of the money would be saved. Which makes sense, because

(60/60) x 100 = 100%

So the amount saved dived by the amount earned all times 100 is the percent saved.
6 0
3 years ago
Write an equation to show "three times a number is 11".
Charra [1.4K]

Answer:

3x=11

Step-by-step explanation:

a number: x

three times x: 3x

is equal to 11: 3x=11

6 0
3 years ago
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