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yuradex [85]
3 years ago
14

The yield from silver queen was compared to the yield of country gentlemen. Note: Differences were taken by taking Silver Queen

- Country Gentlemen The 95% confidence interval for the mean is (-0.223, 0.988). What is the correct interpretation of this interval?
Mathematics
1 answer:
Mumz [18]3 years ago
6 0

Answer:

-0.223 \leq \mu_{sylver} -\mu_{Country} \leq 0.988

We can conclude that the difference between the two means are between -0.223 and 0.988.

And for this case the confidence interval contains the value of 0 so then we have enough evidence to conclude that we don't have significant difference between the means of Silver Queen and the Country Gentlemen.

Step-by-step explanation:

For this case we have the following interval for the difference between Silver Queen - Country Gentlemen:

-0.223 \leq \mu_{sylver} -\mu_{Country} \leq 0.988

We can conclude that the difference between the two means are between -0.223 and 0.988.

And for this case the confidence interval contains the value of 0 so then we have enough evidence to conclude that we don't have significant difference between the means of Silver Queen and the Country Gentlemen.

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) find a vector parallel to the line of intersection of the planes 5x − y − 6z = 0 and x + y + z = 1.
snow_tiger [21]
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.

Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>

We calculate the cross product as a determinant of (i,j,k) and the normal products

    i   j   k
   5 -1 -6
   1  1  1

=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>

Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0

Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
5 0
3 years ago
Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).
MAXImum [283]

General Idea:

When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

Applying the concept:

In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)

We know x = 6 & kx = 7.2

Substituting 6 for x in the equation kx = 7.2, we get 6k = 7.2.

Dividing 6 on both sides\frac{6k}{6}=\frac{7.2}{6}

Simplifying fractions on both sidesk=1.2

Point A from the diagram is (-3, 3)

x-coordinate of A' = kx=1.2 * -3 = -3.6

y-coordinate of A' = ky =1.2*3=3.6

Point A' is given by (-3.6, 3.6)

Conclusion:

<u>Scale factor of dilation is 1.2</u>

<u>The coordinates of point A' is (-3.6, 3.6)</u>

6 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST
ehidna [41]

Answer:

36 + 16 √3

Explanation!

You would first need to simply the radical by breaking the radicand up into a product of known factors!

So the answer would be 36 + 16 √3

If you want decimal form here you go! :)

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Hope this helps you out!

5 0
3 years ago
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Scrat [10]

Answer:

B

Step-by-step explanation:

6x + 30 + 4x = 10(x+3)

10x + 30 = 10x + 30

0 = 0

3 0
3 years ago
Is 5x+7=x-2 a one solution?
il63 [147K]
5x-x=-2-7
4x=-9
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Since there are 2 answers, it is not one solution.
4 0
3 years ago
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