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3 years ago

PLS HELP If |7 − 6y| > 30, whats the possible value of y?

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

4 0

Answer:

y<−23/6 or y> 37/6

Step-by-step explanation:

Solve Absolute Value.

|−6y+7|>30

We know either−6y+7>30or−6y+7<−30

−6y+7>30(Possibility 1)

−6y+7−7>30−7(Subtract 7 from both sides)

−6y>23

−6y /−6 > 23/−6

(Divide both sides by -6)

y<−23/6

−6y+7<−30(Possibility 2)

−6y+7−7<−30−7(Subtract 7 from both sides)

−6y<−37

−6y/−6< −37/−6

(Divide both sides by -6)

y> 37/6

Therefore the answer is

y<−23/6 or y> 37/6

I hope this helped you.

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write an equation that could be used to find two consecutive even integers whose product is 24. Let x represent the first intege

mariarad [96]

(X)+(X+1)=24

"consecutive" means right after the other, so, if the first one is (X), the second integer must be (X+1). The answer 24 is given so you just have to solve the equation.

2X+1=24
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2 years ago

You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. Whe

Snowcat [4.5K]

You have to watch 30 movies to earn a free movie pass.

Step-by-step explanation:

Given,

Points earned for each movie = 2 points

Current points = 40 points

Free movie pass = 100 points

Let,

x be the number of movies you have to watch.

2*number of movies + current points = 100

$2x+40=100$

Subtracting 40 from both sides

$2x+40-40=100-40\\2x=60$

Dividing both sides by 2

$\frac{2x}{2}=\frac{60}{2}\\x=30$

You have to watch 30 movies to earn a free movie pass.

Keywords: linear equation, division

Learn more about division at:

#LearnwithBrainly

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2 years ago

The graph represents two complex numbers, z1 and z2, as solid line vectors. Which points represent their complex conjugates?

REY [17]

Point A represents the complex conjugate z₁ and point L represents the complex conjugate of z₂ respectively

The complex conjugate of a complex number is a complex number that having equal magnitude in the real and imaginary part as the complex number to which it is a conjugate, but the imaginary part of the complex conjugate has an opposite sign to the original complex number

Therefore, graphically, the complex conjugate is a reflection of the original complex number across the x-axis because the transformation for a reflection of the point (x, y) across the x-axis is given as follows;

Preimage (x, y) reflected across the x axis give the image (x, -y)

Where in a complex number, we have;

x = The real part

y = The imaginary part

The reflection of z₁ across the x-axis gives the point A, while the reflection of z₂ across the x-axis gives the point L

Therefore;

Point A represents the complex conjugate z₁ and point L represents the complex conjugate of z₂

Learn more about complex numbers here;

brainly.com/question/20365080

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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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2 years ago

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AveGali [126]

Answer:

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Step-by-step explanation:

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