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Veronika [31]
3 years ago
14

Use technology to find the line of best fit for the following data.

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Given:

The data points are:

(1, 0), (2, 3), (3,1), (4,4), (5,5)

To find:

The equation of best fit line in the form of y=mx+b and then find the value of b.

Solution:

The general form of best fit line is:

y=mx+b              ...(i)

Where, m is the slope of best fit line and b is the y-intercept of the line.

Using the graphing calculator, we get the equation for the best fit line and the equation is

y=1.1x-0.7          ...(ii)

On comparing (i) and (ii), we get

b=-0.7

Therefore, the value of b is equal to -0.7.

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Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone
Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

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.

Probability of each system working:

4 components, which means that n = 4

Each has a 30% probability of failing, so p = 1 - 0.3 = 0.7

For the system to work, all 4 components have to work. This is P(X = 4).

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

P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so n = 7

0.2401 probability of a system working.

We have to find P(X = 3).

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

P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615

16.15% probability that exactly 3 of them would function

5 0
3 years ago
PLEASE ASNWER ILL GIVE BRAINLIEST
deff fn [24]

Answer:

8.6

Step-by-step explanation:

a^2+b^2=c^2

7^2+5^2=c^2

49+25=c^2

74=c^2

8.6=c

3 0
3 years ago
A bag contains 5 blue marbles, 6 red marbles, and 9 green marbles. Two marbles are drawn at random, one at a time and without re
sveticcg [70]
I think the answer is A.2/9
5 0
3 years ago
B) Select all expressions that can be used to find 85% of 280.
abruzzese [7]

Answer:

238

85%of 280 is 238

Step-by-step explanation:

hope this helps

4 0
2 years ago
Please help me<br>i wanna sleep :(​
Anni [7]

Answer:

what langue is that

Step-by-step explanation:

8 0
3 years ago
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