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3 years ago

Write the equation for the vertical line that passes through the point (5,-2)

Mathematics

1 answer:

amid [387]3 years ago

4 0

If it's just a vertical line, then it could be displayed as: x = 5.

A vertical line is not actually a function, and because of such, the entire line is just the value of the x value, as it will never have enough x value.

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Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n

konstantin123 [22]

Answer:

a) $P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

b) $P(13.848$ Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by $S^2$ and we select a random sample of size n from a normal population with a population variance $\sigma^2$ . And we define the following statistic:

$T = \frac{(n-1) S^2}{\sigma^2}$

And the distribution for this statistic is $T \sim \chi^2_{n-1}$

For this case we know that n =25 and $\sigma^2 = 6$ so then our statistic would be given by:

$\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2$

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

$P(S^2 > 9.1)$

And we can multiply the inequality by 4 on both sides and we got:

$P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

$P(3.462 < S^2$

If we multiply the inequality by 4 on all the terms we got:

$P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2$ And we can find this probability like this: $P(13.848$ And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

8 0

3 years ago

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

Reptile [31]

Answer:

Step-by-step explanation:

B.(10,1)

4 0

3 years ago

A. A newborn red panda weighs 100 grams. A

77julia77 [94]

Answer:

$y=100\cdot (1.07)^d$

Step-by-step explanation:

Find the expression to represent how much you would expect a cub to weigh $d$ days after it's born as exponential growth function $y=a\cdot b^d,$ where $a$ is the initial panda's weight and $b$ is the rate of growth.