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3 years ago

Is the answer 4/5 ? Can someone help please ?

Mathematics

1 answer:

Zina [86]3 years ago

8 0

Answer:

$m=-\frac{4}{5}$

Step-by-step explanation:

We can take 2 arbitrary points in the graph and solve for slope using the formula shown below.

<u>Note:</u> we will use the 2 points (2,-3) & (-3,1)

Where x_1 = 2, y _1 = -3 and x _ 2 = -3 and y _ 2 = 1

The formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's plug the numbers and find the slope:

$m=\frac{1-(-3)}{-3-2}\\m=\frac{4}{-5}\\m=-\frac{4}{5}$

Hence, thsi is the slope.

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Based on past experience, the main printer in a university computer centre is operating properly 90% of the time. Suppose inspec

yaroslaw [1]

Answer:

a) 38.74% probability that the main printer is operating properly for exactly 9 inspections.

b) Approximately 100% probability that the main printer is operating properly for at least 3 inspections.

c) The expected number of inspections in which the main printer is operating properly is 9.

Step-by-step explanation:

For each inspection, there are only two possible outcomes. Either it is operating correctly, or it is not. The probability of the printer operating correctly for an inspection is independent of any other inspection, which means that the binomial probability distribution is used 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.

Based on past experience, the main printer in a university computer centre is operating properly 90% of the time.

This means that $p = 0.9$

Suppose inspections are made at 10 randomly selected times.

This means that $n = 10$

A) What is the probability that the main printer is operating properly for exactly 9 inspections.

This is $P(X = 9)$ . So

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

$P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874$

38.74% probability that the main printer is operating properly for exactly 9 inspections.

B) What is the probability that the main printer is operating properly for at least 3 inspections?

This is:

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

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

$P(X = 0) = C_{10,0}.(0.9)^{0}.(0.1)^{10} \approx 0$

$P(X = 1) = C_{10,1}.(0.9)^{1}.(0.1)^{9} \approx 0$

$P(X = 2) = C_{10,2}.(0.9)^{2}.(0.1)^{8} \approx 0$

Thus:

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0 = 0$

Then:

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0 = 1$

Approximately 100% probability that the main printer is operating properly for at least 3 inspections.

C) What is the expected number of inspections in which the main printer is operating properly?

The expected value for the binomial distribution is given by:

$E(X) = np$

In this question:

$E(X) = 10(0.9) = 9$

3 0

3 years ago

What is the value of x in x+3=3x+4?

pav-90 [236]

Answer:

-.5=x or -1/2=x

Step-by-step explanation:

x+3=3x+4

-x -x

3=2x+4

-4 -4

-1=2x

/2 /2

-.5=x or -1/2=x

8 0

2 years ago

when the base of a ladder is placed 10ft away from the base of a building, the top of the ladder touches the building at 18ft ab

Vikki [24]

35 feet i think i’m not sure

6 0

2 years ago

1.1.3 what is a function

GrogVix [38]

Answer:

A function is going to be a line graphed on a coordinate plane. It has 1 or more variables. A function can be a straight line, a parabola, etc. however a function cannot have a repeating x-value.

7 0

3 years ago

Please Help! I need help to my math question

dem82 [27]

First you need to get rid of the parenthesis by distributing the 0.6 to each term inside.
(0.6)(10n) + (0.6)(25) =10+5n
6n +15 = 10+5n subtract the 5n on both sides and subtract 15 from both sides
6n-5n = 10-15
n=-5

5 0

3 years ago

Read 2 more answers