First you need to set up your decimal as a fraction
45 9
---- divided by 5 ------
100 20
9/20 is your answer
Answer:
D. Corresponding.
Step-by-step explanation:
<u>Interior angles</u> are always on the inside of a set of lines, an example being that if the answer had been interior angles, the top orange line would most likely move just below the straight line it is resting upon and turn so that it would look something like the first picture attached. The picture attached shows a. alternate interior. They can be considered alternate due to the fact that they are on two different sides of that diagonal line.
<u>Exterior angles</u> would be where they are placed in the drawing you provided now, except alternate exterior angles would be on alternating sides of that significant diagonal line. A picture is attached and shows what b. alternate exterior might look like.
<u>Vertical angles</u> appear on opposing sides. This one is hard to word, but I will attach a picture if it allows me to. You see in your picture where the top orange line is resting? Jump across that line. Jump one down in that little acute angle place that is still touching the top horizontal line. This is where you would have had to place your bottom orange angle to make it vertical.
<u>Corresponding angles</u> are just like shown in the question you were given. With corresponding angles, they are always on the same side of the diagonal lines splitting the sides, yet one will seem to rest on the interior and the other will rest on the exterior so that they both look exactly the same curve wise. I would provide a chart online since this is not really one to draw since you already have, but I do not want this answer taken down for plagiarism. Just look up corresponding angles online and it should show you what I mean.
For the given probability mass function of X, the mean is 3.5 and the standard deviation is 1.708.
- A discrete random variable X's probability mass function (PMF) is a function over its sample space that estimates the likelihood that X will have a given value. f(x)=P[X=x].
- The total of all potential values for a random variable X, weighted by their relative probabilities, is known as the mean (or expected value E[X]) of that variable.
- Mean(μ) = 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) + 6(1/6).
- Mean(μ) = (1+2+3+4+5+6)/6
- Mean(μ) = 21/6
- Mean(μ) = 3.5
- The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution represents its standard deviation. It is denoted by 'σ'.
- A random variable's variance (or Var[X]) is a measurement of the range of potential values. It is, by definition, the squared expectation of the distance between X and μ. It is denoted by 'σ²'.
- σ² = E[X²]−μ²
- σ² = [1²(1/6) + 2²(1/6) + 3²(1/6) + 4²(1/6) + 5²(1/6) + 6²(1/6)] - (3.5)²
- σ² = [(1² + 2²+ 3² + 4²+ 5²+ 6²)/6] - (3.5)²
- σ² = [(1 + 4 + 9 + 16 + 25 + 36)/6] - (3.5)²
- σ² = (91/6) - (3.5)²
- σ² = 15.167-12.25
- σ² = 2.917
- σ = √2.917
- Standard deviation (σ) = 1.708
To learn more about variance, visit :
brainly.com/question/14116780
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The answer would be 2 because a square root has to be the same 2 numbers which is 2 for this example. 2x2=4. Hope this helps! If you have anymore questions please ask me. Stay Safe! And have a good day!
The speed v is 12 m/s.
You need to convert the seconds to hours and meters to kilometers:
3600s = 1 hr
If you divide 3600 on both sides you will get
1 s = (1/3600) hr
1000m = 1 km
If you divide 1000 on both sides you will also get
1 m = (1/1000) km
v = [(12/1000) km] / [(1/3600) hr]
v = [(12*3600)/1000] km/hr
v = 216/5 km/hr
The distance in 4 hours is
d = [(216/5) km/hr] * 4hr
d = 864.50 km
This is why your answer should be 12 m/s
Hope this helps!! - Queenb369
