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3 years ago

Which graph is the linear function that has a slope of 1/3 and contains the point (- 2, - 4) ?

Mathematics

1 answer:

Vlad1618 [11]3 years ago

6 0

Answer:

Option 1 (The last one, bottom right)

Step-by-step explanation:

If you start at the origin and go 2 to the left and 4 down, you will reach a point. We can test the slope by using rise over run from one point to another. It goes up 1 and three across which is true in this case.

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A square scarf has a side length of 3/4 yard on each side what is the area of the scarf??

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Answer:

3 unit

Step-by-step explanation:

3/4 x 4 = 12/4 = 3

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3 years ago

The freezing point of a certain liquid is -7F . Another liquid freezes at -12F . What is the difference between the absolute val

melamori03 [73]

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2 years ago

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)"

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3 years ago

2. Lamar purchases comic books at garage

Otrada [13]

<u>Answer:</u>

Lamar will charge $\$7$ to the comic dealer for a comic book.

<u>Solution:</u>

It is given that lamar purchases a comic book for $\$4$ . He then marks up the price of a comic book by $75\%$ which means he increases the price of the book by $75\%$ and then sells it to the comic dealer.