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3 years ago

Write an equation of a line passing through (-1,9) and (-5,11).

Mathematics

1 answer:

lubasha [3.4K]3 years ago

3 0

Answer:

Hi there!

The answer to this question would be:

Step-by-step explanation:

the general equation would be: y= -1/2x + 17/2

first you want to solve for the slope (m): you wanna do delta y (change of y ) over delta x (change of x)

so it goes like (11-9)/(-5-(-1)) and you get -1/2

then you want to solve for the y intercept (b)

so you plug in one of the point that you were given, in this case I am using (-1,9)

so now the equation looks like 9 = 1/2 +b then solve for b and you get b=17/2

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Aleks04 [339]

Answer:

B, C

Step-by-step explanation:

Both these intervals are where the graph is increasing.

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3 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

Plz, help me, guys! Show a step by step if you can.

chubhunter [2.5K]

Answer:

61 pens, 244 batteries

Step-by-step explanation:

4*3x+4x=976

16x=976

x=61

4x=244

5 0

3 years ago

PLS HELP FOR A GRADE DUE TODAY BRUH PLS

rewona [7]

Answer:

A Yes, because every x-vaule has a single y-vaule

Step-by-step explanation:

None of the points share a point on the x axis meaning none of them are directly vertical of each other they are all seperate from each other.

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3 years ago

If D is an n × n diagonal matrix with entries dii, then det D = d11d22 ∙ ∙ ∙ dnn. Verify this theorem for 2 × 2 matrices.

nadya68 [22]

Answer:

Verified

Step-by-step explanation:

Let the diagonal matrix D with size 2x2 be in the form of

$\left[\begin{array}{cc}a&0\\0&d\end{array}\right]$

Then the determinant of matrix D would be

det(D) = a*d - 0*0 = ad

This is the product of the matrix's diagonal numbers

So the theorem is true for 2x2 matrices

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3 years ago