The constant of proportionality k is 3.5
Step-by-step explanation:
Proportionality describes any relationship that is always in the same
ratio
If two quantities x and y are in proportionality, then
1. y ∝ x
2. y = k x , where k is the constant of proportionality
∵ x ⇒ 6 , 7 , 8 , 9
∵ y ⇒ 21 , 24.5 , 28 , 31.5
∵ y ∝ x
∴ y = k x
- Use x = 6 and y = 21 to find the value of k
∵ x = 6 and y = 21
∴ 21 = k (6)
- Divide both sides by 6
∴ k = 3.5
- Use x = 7 and y = 24.5 to find the value of k
∵ x = 7 and y = 24.5
∴ 24.5 = k (7)
- Divide both sides by 7
∴ k = 3.5
- Use x = 8 and y = 28 to find the value of k
∵ x = 8 and y = 28
∴ 28 = k (8)
- Divide both sides by 8
∴ k = 3.5
- Use x = 9 and y = 31.5 to find the value of k
∵ x = 9 and y = 31.5
∴ 31.5 = k (9)
- Divide both sides by 9
∴ k = 3.5
The constant of proportionality k is 3.5
Learn more:
You can learn more about proportionality in brainly.com/question/10708697
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Answer:
Normal distribution is a Continuous distribution.
Step-by-step explanation:
Normal Distribution:
The following information is true about normal distribution.
- Theoretically, the mean, median, and mode are the same.
- Its parameters are the mean, mu, and standard deviation, sigma.
- About two thirds of the observations fall within plus or minus 1 standard deviation from the mean.
But normal distribution is not a discrete distribution. It is a continuous distribution.
- The normal distribution is a continuous probability distribution. This has several implications for probability.
- The probability that a normal random variable X equals any particular value is 0.
Answer:
Step-by-step explanation:
Let's examine the following general product of two binomials with variables x and y in different terms:
so we want the following to happen:
Notice as well that 
means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product 
, then we can consider the case in which one of this (b or d) is the negative factor. So let's then assume that 
are positive.
We can then try combinations for such as:
Just by selecting the first one 
we get that 
and since
This quadratic equation give as one of its solutions the integer: d = -2, and consequently,
Now we have a good combination of parameters to render the factoring form of the original trinomial:
which makes our factorization:
Answer:
Mean absolute deviation. The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset
Step-by-step explanation:
Hope this helps
Answer:
Step-by-step explanation:
We are given the following in the question:
The organizers estimate that the variation in distance flown by the athletes will be σ = 10 meters.
This will be stated by the null hypothesis.
It was claimed that the organizers are underestimating the variation and the variation in distance is greater than 10.
This will be stated by the alternate hypothesis.
The parameter for the given hypothesis is standard deviation, 
.
