All categories

1 year ago

-4 2/3= 2n/3 + 1/3 +n/3

Mathematics

1 answer:

Tom [10]1 year ago

4 0

Answer: step by step

Step-by-step explanation: n = -15

if need more clarification lmk

You might be interested in

I really need help...

lianna [129]

It could not be 73º because if you add that to 120 then it will be more than 180 degrees, which is the total number of degrees in a triangle. Hope this helps!

8 0

3 years ago

Read 2 more answers

The volume of a cylinder = ar2h. Use 3.14 for A. What is the volume of this cylinder? You may use the calculator tool in the men

zloy xaker [14]

Answer:

{Height and radius not given}

7 0

2 years ago

Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer) between a "worker" com

My name is Ann [436]

Answer:

a. The value of alpha is 3.014 and the value of beta is 12.442

b. The probability that data transfer time exceeds 50ms is 0.238

c. The probability that data transfer time is between 50 and 75 ms is 0.176

Step-by-step explanation:

a. According to the given data we have that the mean and standard deviation of the random variable X are 37.5 ms and 21.6.

Therefore, E(X)=37.5 and V(X)=(21.6)∧2

To calculate alpha we would have to use the following formula:

alpha=E(X)∧2/V(X)

alpha=(37.5)∧2/21.6∧2

alpha=1,406.25 /466.56

alpha=3.014

To calculate beta we would have to use the following formula:

β= V(X) ∧2/E(X)

β=(21.6) ∧2/37.5

β=466.56 /37.5

β=12.442

b. E(X)=37.5 and V(X)=(21.6)∧2

Therefore, P(X>50)=1−P(X≤50)

Hence, To calculate the probability that data transfer time exceeds 50ms we use the following formula:

P(X>50)=1−P(X≤50)

=1−0.762

=0.238

The probability that data transfer time exceeds 50ms is 0.238

c. E(X)=37.5 and V(X)=(21.6)∧2

Therefore, P(50<X<75)=P(X<75)−P(X<50)

Hence, To calculate the probability that data transfer time is between 50 and 75 ms we use the following formula:

P(50<X<75)=P(X<75)−P(X<50)

=0.938−0.762

=0.176

The probability that data transfer time is between 50 and 75 ms is 0.176

6 0

3 years ago

Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93

Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

$M = \frac{a + b}{2}$

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 2.93 and 3.1 volts

This means that $a = 2.93, b = 3.1$ . So

Mean:

$M = \frac{2.93 + 3.1}{2} = 3.015$

Standard deviation:

$S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049$

What is the probability that a battery has a voltage less than 2.98?

$P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941$

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

6 0

3 years ago

An icosahedron has twelve faces, the most of any Platonic solid.

jolli1 [7]

Answer:

Step-by-step explanation:

True

3 0

3 years ago