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2 years ago

What is the equation of this graphed line?

Mathematics

2 answers:

Nimfa-mama [501]2 years ago

8 0

Answer:

y = -1/3x - 5

Step-by-step explanation:

Using points on the graph to get the equation

Slope intercept form:

y = mx + b

From the graph, point (0, -5) we can see y-intercept is b = -5

An calculating the slope using two points (-6, -3) and (6, -7):

m = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = -1/3

So the line is:

y = -1/3x - 5

pantera1 [17]2 years ago

4 0

Answer:

Step-by-step explanation:

y=1/2-5x

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You're a quality control manager in a fruit juice company. You want to choose

alekssr [168]

Answer:

246.

Step-by-step explanation:

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

b) The minimum sample size to achieve this is 246.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find the margin of error M as such

In which is the standard deviation of the population(square root of the variance) and n is the size of the sample. So in this question,

The lower end of the interval is the sample mean subtracted by M. So it is 99 - 0.78 = 98.22

The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

(b) (5 points) If we want the sampling error to be no greater than 0.5, what is the minimum sample size to achieve this based on the same confidence level with part (a)

We need a sample size of n

n is found when

Then

Rounding up

The minimum sample size to achieve this is 246.

7 0

2 years ago

What is the coefficient of q in the sum of these two expressions? (23q – 34) and (–16q – r)

Zigmanuir [339]

Answer:

The coefficient of q is 7

Step-by-step explanation:

The two expressions are

(23q – 34) and (–16q – r)

and .

(–16q – r)

The sum of the two expressions is

23q - 34 + -16q - r

When we group like terms the expression will be,

=23q - 16q - r - 34

When we simplify the expression will now be

=7q - r - 34

The coefficient of q is the constant behind q in the expression.

The coefficient of q is therefore 7.

5 0

2 years ago

Which classification best describes ∠2?

just olya [345]

The angle is obviously larger than a right angle because it is bending outwards. This means it is greater than 90°, so ∠2 must be an obtuse angle.

4 0

3 years ago

Read 2 more answers

Find (f/g)(x). Please help !!

Setler [38]

Answer:D

Step-by-step explanation:

factorise 2x²-16x+32

x²-8x+16

(x-4)²

factorise 4x²-2x-20

2x²-x-10

2x²+4x-5x-10

2x(x+2)-5(x+2)

(2x-5)(x+2)

solving for (f/g)(x)

(x-4)²/(x+2)÷(2x-5)(x+2)/(x-4)²

(x-4)²/(x+2)*(x-4)²/(2x-5)(x+2)

(x-4)⁴/(2x-5)(x+2)²

6 0

3 years ago

What dimensions of the box maximize the volume of the box? please help thank you so much!

bonufazy [111]

so, let's recall that the volume of a rectangular prism, namely a box, is Lwh, just the product of its dimensions, length, width and height.

now, check the 1st picture below. we know the original paperboard is a 16x14, so the width, as you see in the picture is w = 8 - x, its length is L = x, and its height is 14 -(x/2) - (x/2).

$\bf V(x)=\stackrel{L}{(x)}\stackrel{w}{(8-x)}\stackrel{h}{\left( 14-\cfrac{x}{2}-\cfrac{x}{2} \right)}\implies V(x)=(8x-x^2)(14-x) \\\\\\ V(x)=112x-8x^2-14x^2+x^3\implies V(x)=x^3-22x^2+112x$

now, let's find the critical points, by setting the derivative to 0, and then we'll do a first-derivative test.

$\bf \cfrac{dV}{dx}=3x^2-44x+112\implies 0=3x^2-44x+112 \\\\\\ \textit{plugging those values in the quadratic formula}\qquad x\approx \begin{cases} 11.39\\ 3.28 \end{cases}$

now, if we plot those two points, we get 3 regions, and then we check each of those regions to see what's the value of the first derivative.

check the 2nd picture below, that'd be the first derivative test, as you can see from the arrows, the slope increases and then decreases at 3.28, namely that critical point is the maximum, so the Volume maximizes at x = 3.28.

6 0

2 years ago