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stiks02 [169]
3 years ago
10

Which is the greatest common factor of 16 and 40? A- 4 B- 8 C- 40 D- 80

Mathematics
2 answers:
andrey2020 [161]3 years ago
7 0
8 because it's the highest number that can go into both numbers evenly.
IRISSAK [1]3 years ago
3 0
16 = 4*4 = 2*2*2*2 
40= 5*8 = 5*2*2*2

2*2*2 = 8 
is the common part of 16 and 40, so 8 is the greatest common factor of 16 and 40.

Answer is B. 8.

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The following examples illustrate the associative
bagirrra123 [75]

Answer: A

Step-by-step explanation:

a • (b•c) = (a•b) • c

8 0
3 years ago
The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,
professor190 [17]

Answer:

0.2103 = 21.03% 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 interval.

Mean of 0.6 times a day

7 day week, so \mu = 7*0.6 = 4.2

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

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^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150

P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630

P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323

So

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0
3 years ago
What is the equation of a line that is perpendicular to a line with a slope of 2 and passes
geniusboy [140]

To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3

Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.

y=3x+b

2=3*(3)+b

2=9+b

-7=b  So now we know the y-intercept and slope. We just put them together now

y=3x-7

6 0
3 years ago
Read 2 more answers
A football is kicked into the air. Its height above the ground is approximated by the equation h=20t-5<img src="https://tex.z-dn
Anastaziya [24]

Answer:

Zeroes - x=0 and x=4

Football hits the ground at x=4 (4 seconds)

Step-by-step explanation:

1) Plug equation in graphing calculator and graph function.

2) Find zeroes

3) The second zero is when the football hits the ground

4 0
2 years ago
The lithospheric plates move an average of ____. (1 point) 5 inches per year 50 inches per year 5 centimeters per year 50 centim
Assoli18 [71]
J get answer on this way:
1 inches =2,54 centimeters,
5 inches=12,7 centimeters,
50 inches=127 centimeters,
average= 12,7/4+127/4+5/4+50/40=48,67 centimeters
4 0
3 years ago
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