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4 years ago

Find (x - 3)(2x - 1) using the table of products. Write your answer in standard form.

Mathematics

1 answer:

mote1985 [20]4 years ago

6 0

Answer:

top left is 2x²

top right -6x

bottom left -1

bottom right 3

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Dairy cows at large commercial farms often receive injections of bST (Bovine Somatotropin), a hormone used to spur milk producti

ExtremeBDS [4]

Answer:

a) 26.33 kg/d and 29.67 kg/d

b) 94.5%

Step-by-step explanation:

a. Find a 99% confidence interval for the true mean milk production.

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

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.575*\frac{2.25}{\sqrt{12}} = 1.67$

The lower end of the interval is the sample mean subtracted by M. So it is 28 - 1.67 = 26.33 kg/d

The upper end of the interval is the sample mean added to M. So it is 28 + 1.67 = 29.67 kg/d

The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d

b. If the farms want the confidence interval to be no wider than ± 1.25 kg/d, what level of confidence would they need to use?

We need to find z initially, when M = 1.25.

$M = z*\frac{2.25}{\sqrt{12}} = 1.67$

$1.25 = z*\frac{2.25}{\sqrt{12}} = 1.67$

$2.25z = 1.25\sqrt{12}$

$z = \frac{1.25\sqrt{12}}{2.25}$

$z = 1.92$

When $z = 1.92$ , it has a pvalue of 0.9725.

1 - 2*(1 - 0.9725) = 0.945

So we should use a confidence level of 94.5%.

6 0

4 years ago

Mrs. Mack teaches three art classes, and there are 30 students in each class. She has a supply

lina2011 [118]

Answer:

90/150

3/5

Step-by-step explanation:

4 0

3 years ago

Find the slope of the line through each pair of points. 9) (17, -6), (-11,7)

blsea [12.9K]

Answer:

slope = - $\frac{13}{28}$

Step-by-step explanation:

calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (17, - 6 ) and (x₂, y₂ ) = (- 11, 7 )

m = $\frac{7-(-6)}{-11-17}$ = $\frac{7+6}{-28}$ = - $\frac{13}{28}$

3 0

2 years ago

8. Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning

tino4ka555 [31]

In this case, to flip any of the points to map up accurately to the other points, we would have to do a transformation of reflection about the y-axis. The reason behind this is that out of other transformation process, we can only achieve the image of triangle ∆A’B’C’ through reflection.

Dilation will not work since it only changes the size of the object. The shape and position will not affected.

A translation will not work because although the shape can move, it still needs to flip to achieve triangle ∆A’B’C’.

A rotation will also not work because when you rotate it, the shape will still not map over the new one.

<span>
<span>Therefore the only answer to this question would be to reflect triangle ∆ABC about the y-axis.</span></span>

4 0

4 years ago

PLEASE REALLY NEED HELP

Naddik [55]

Point-slope form: y-y1=m(x-x1)

y-2 = -8(x+8)
y-2 = -8x-64
y = -8x-62

Perpendicular = reciprocal
-8 becomes 1/8
Answer: y = (1/8)x - 62

8 0

3 years ago