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IrinaK [193]
2 years ago
11

The table represents a linear equation. Which equation correctly uses point (–2, –6) to write the equation of this line in point

-slope form? y – 6 = (x – 2) y – 6 = (x – 2) y + 6 = (x + 2) y + 6 = (x + 2)
Mathematics
2 answers:
sineoko [7]2 years ago
6 0

Answer:

y+6=m(x+2)

where I would have to look at the table to know m.

Step-by-step explanation:

Point-slope form of a line is

y-y_1=m(x-x_1)

where m \text{ is the slope and } (x_1,y_1) \text{ is a point on that line}

You are given (x_1,y_1)=(-2,-6) \text{, but no value for }m.

So we know we are looking for an equation that looks like this:

y-(-6)=m(x-(-2))

If you simplify this looks like:

y+6=m(x+2)

ololo11 [35]2 years ago
6 0

Answer:

d

Step-by-step explanation:

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There are 39 members on the Central High School student government council. When a vote took place on a certain proposal, all of
Nimfa-mama [501]

Answer:

Option a

Step-by-step explanation:

Given that all of the seniors and none of the freshmen voted for it.

Some of the juniors and some of the sophomores voted for the proposal and some voted against it.

If the proposal was to be adopted then a simple of majority of votes should have been cast.

Since all seniors voted for it, and no freshmen number of freshmen has to be less than seniors then only majority would have voted.

Regarding juniors and sophomores we assume some voted and some against thus approximately nullifying their votes.

So the correct option would be

a. There are more seniors than freshmen on the council.

Option b wrong since only some voted for it.

C is wrong because actual seniors were not given.

D is wrong because while seniors voted for sophomores voted against.

e is wrong since sophomores and freshmen nullified each other

3 0
2 years ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.755.75 millimeters and a standard de
svet-max [94.6K]

Let <em>D</em> be the random variable denoting the diameter of this shop's bolts, so that <em>D</em> is normally distributed with <em>µ</em> = 5.75 and <em>σ</em> = 0.07. The top 6% and bottom 6% of bolts have diameters <em>d</em>₁ and <em>d</em>₂ such that

P(<em>d</em>₁ < <em>D</em> < <em>d</em>₂) = P(<em>D</em> < <em>d</em>₂) - P(<em>D</em> < <em>d</em>₁) = 0.94 - 0.06

i.e. <em>d</em>₂ is the 94th percentile and <em>d</em>₁ is the 6th percentile, for which

P(<em>D</em> < <em>d</em>₂) = 0.94

P(<em>D</em> < <em>d</em>₁) = 0.06

Convert <em>D</em> to a random variable <em>Z</em> following the standard normal distribution using

<em>Z</em> = (<em>D</em> - <em>µ</em>) / <em>σ</em>

Then

P(<em>D</em> < <em>d</em>₂) = P((<em>D</em> - 5.75) / 0.07 < (<em>d</em>₂ - 5.75) / 0.07)

0.94 = P(<em>Z</em> < (<em>d</em>₂ - 5.75) / 0.07)

→   (<em>d</em>₂ - 5.75) / 0.07 ≈ 1.55477

→   <em>d</em>₂ ≈ 5.86

P(<em>D</em> < <em>d</em>₁) = P((<em>D</em> - 5.75) / 0.07 < (<em>d</em>₁ - 5.75) / 0.07)

0.06 = P(<em>Z</em> < (<em>d</em>₁ - 5.75) / 0.07)

→   (<em>d</em>₁ - 5.75) / 0.07 ≈ -1.55477

→   <em>d</em>₁ ≈ 5.64

So bolts with a diameter between 5.64 mm and 5.86 mm are acceptable.

4 0
1 year ago
A hungry college student just finished eating a large cheese and pepperoni pizza from​ Doug's Pizza Palace and felt there​ wasn'
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Answer:  14

Step-by-step explanation:

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For t-statistic , the degree of freedom for a sample with sample size 'n' is given by :-

df=n-1

Given : Sample size : n-1

Then, the number of degrees of freedom the t-value will have :-

df=15-1=14

Hence, the t-value will have 14 degrees of freedom.

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She would have to work 11 hours to get enough money to buy the sneakers

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Hope this helps!!

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Answer:

they would pay 38$ each day

Step-by-step explanation:

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