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3 years ago

7. What is the length of the line segment between A(–5, 8) and B(7, 8)?

Mathematics

1 answer:

Verizon [17]3 years ago

4 0

Answer:

7) C

8) B

9) C

Step-by-step explanation:

7) sqrt[(8-8)² + (-5-7)²] = 12 units

8) y = 4x

9) y = 6 - x

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A restaurant offers the following limited lunch menu:. Main Courses: Beef, Pork Roast, Duck, Quiche. Vegetables: Broccoli, Carro

max2010maxim [7]

The correct answer to this question is "120 ways"

Main Courses consists of Beef, Pork Roast, Duck, Quiche (4), Vegetables consists of Broccoli, Carrots, Potatoes (3), Beverages consists of Coffee, Tea, Milk, Soda and Shakes (5), Desserts consists of Ice Cream, Brownies (2)

The total number of ways can be solved as: 4 * 3 * 5 * 2 = 120

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4 years ago

What is Nine sixteenths of 11 inches?

fenix001 [56]

<span>6.1875 inches would be 9 / 16 ths of 11 inches

</span>

4 0

3 years ago

Read 2 more answers

f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential 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 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.

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:

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

The probability of finding a value higher than x is:

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

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

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

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

4 0

3 years ago

What is the value of 2/3^-4

Reptile [31]

Answer:

$\frac{16}{49}$

Step-by-step explanation:

To solve problems like this, we need to multiply the base , $\frac{2}{3}$ , the amount of times as the exponent, 4.

Essentially, the equation is $\frac{2}{3}$ x $\frac{2}{3}$ x $\frac{2}{3}$ x $\frac{2}{3}$ .

The product would be $\frac{16}{49}$ .

Now we can't forget that the exponent is a negative. But because the exponent is an even number, we don't need to worry about that.

Hope this helped :)

8 0

3 years ago

Natalie has 300 cookies for a bake sale. She makes 8 more batches with 12 cookies in each batch. She sells 6 bags of cookies wit

vitfil [10]

Answer:

I would say it's not reasonable. the answer would be the first one

Step-by-step explanation:

6 0

3 years ago