Answer:
Step-by-step explanation:
From the figure attached,
Point B has been dilated to form point B'.
B(3, 1) → B'(6, 2)
→ B'[(2 × 3), (2 × 1)]
Since rule for the dilation of a point (x, y) by a factor of k is,
B(x, y) → B'(kx, ky)
By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.
Therefore, other vertices of the quadrilateral will be,
A(-2, 3) → A'(-4, 6)
C(1, -1) → C'(2, -2)
D(-3, -2) → D'(-6, -4)
Answer:
The degrees of freedom are given by;

The significance level is 0.1 so then the critical value would be given by:

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays
Step-by-step explanation:
For this case we have the following observed values:
Mon 25 Tue 22 Wed 19 Thu 18 Fri 16 Total 100
For this case the expected values for each day are assumed:

The statsitic would be given by:

Where O represent the observed values and E the expected values
The degrees of freedom are given by;

The significance level is 0.1 so then the critical value would be given by:

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays
Answer:
99
Step-by-step explanation:
1/9 of 72 = 8
1/4 of 72 = 18
1 + 8 = 9
72 + 18 = 90
90 + 9 = 99
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Just dividing the volumes of the pan, 189 and one bar, 3, suggests that at most she'll be able to cut 63 bars.
But you'll also have to prove that you can divide it in a regular pattern. And you can:
9 divides by 1
10.5 divides by 1.5
2 divides by 2.
So no incomplete bars!
Answer:
Step-by-step explanation:
6:2
Divide both sides by 3.
18 divided by 3 is 6
Now do the other side
6 divided by 3 is 2
So, 6:2
3:1
Divide both sides by 6
18 divided by 6 is 3
Now do the other side
6 divided by 6 is 1
So, 3:1
9:3
Divide both sides by 2
18 divided by 2 is 9
Now do the other side
6 divide by 2 is 3
So, 9:3
Hope this helped :)