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4 years ago

Which could be the approximate value of the correlation coefficient for the accompanying scatter plot?

Mathematics

2 answers:

LekaFEV [45]4 years ago

8 0

The answer is D. It is a positive correlation so I can't be negative. It also is a strong correlation so it cannot be 0.21. So the answer is D.

Viktor [21]4 years ago

7 0

Answer:

Step-by-step explanation:

The chart shows a strong positive correlation, hence this eliminates the negatives. Then 0.91 is a higher(strong) correlation coefficent.

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The computer that controls a bank's automatic teller machine crashes a mean of 0.5 times per day. What is the probability that,

dexar [7]

Answer:

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval

Mean of 0.5

7-day week, so $\mu = 7*0.5 = 3.5$

What is the probability that, in any seven-day week, the computer will crash less than 3 times?

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

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3.5}*(3.5)^{0}}{(0)!} = 0.0302$

$P(X = 1) = \frac{e^{-3.5}*(3.5)^{1}}{(1)!} = 0.1057$

$P(X = 2) = \frac{e^{-3.5}*(3.5)^{2}}{(2)!} = 0.1850$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0302 + 0.1057 + 0.1857 = 0.3216$

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

3 0

3 years ago

Which postulate or theorem proves △MNQ≅△PNQ ?

dedylja [7]

Angle Angle Side Congruence Theorem proves ΔMNQ = ΔPNQ.

3 0

4 years ago

Read 2 more answers

PLS HELP ME WITH THIS ALGEBRA!

artcher [175]

Answer:

120 g

Step-by-step explanation:

A salt solution contains 10% salt and weights 80g.

Salt content of the solution is:

80*0.1 = 8 g

4% solution has 8 g salt, total solution is:

0.04x = 8
x = 8/0.04 = 200 g

Water to be added:

200 - 80 = 120 g

6 0

3 years ago

10 POINTS!!

Georgia [21]

Answer:

an=n^3-n^2-6

Step-by-step explanation:

6 0

4 years ago

Alfonso leans a 20 ft ladder long against the wall with a base of 6 feet from the wall. How far up the wall does the ladder reac

jolli1 [7]

Answer:

19.1 ft

Step-by-step explanation:

-This a Pythagorean theorem problem given by the function:

$b^2+h^2=H^2$

Where

H is the Hypotenuse length

h is the perpendicular height

b is the base length.

#Given that H=20 ft and base length,b =6 ft, the perpendicular height is calculated as:

$h^2+b^2=H^2\\\\h^2=H^2-b^2\\\\h^2=20^2-6^2=364\\\\h=\sqrt{364}\\\\=19.0788\approx 19.08\ ft$ $\approx 19.1 \ ft$

Hence, the ladder reaches the wall at a height of 19.1 ft

5 0

3 years ago