20 x 18 x 5 properties
1 answer:
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Answer:
Correct options:
(x – 8)² + (y – 9)² = 3
(x – 8)² + (y – 9)² = 14
Step-by-step explanation:
If the circle has a center at (8,9), the equation for this circle is:
All concentric circles have the same center, so their equations need to have the same left side of the equation above.
-> x2 + y2 = 25
This circle has a center at (0,0), so it's not concentric to our circle.
-> (x – 8)² + (y – 9)² = 3
This circle has a center at (8,9), so it's concentric to our circle.
-> (x – 8)² + (y – 9)² = 14
This circle has a center at (8,9), so it's concentric to our circle.
-> (x – 8)² + (y + 9)² = 3
This circle has a center at (8,-9), so it's not concentric to our circle.
-> (x + 8)² + (y + 9)² = 25
This circle has a center at (-8,-9), so it's not concentric to our circle.
-> (x + 9)² + (y + 8)² = 3
This circle has a center at (-8,-9), so it's not concentric to our circle.
Correct options:
(x – 8)² + (y – 9)² = 3
(x – 8)² + (y – 9)² = 14
Answer:
Yes. The male and female consumers differ in the amounts they spend.
Step-by-step explanation:
We can express the null and alternative hypothesis as:
It is assumed a significance level of 0.05.
The standard deviation of the difference of means is calculated as:
The test statistic is
The degrees of freedom are:
The P-value for t=10.11 is P=0, so it is smaller than the significance level. The null hypothesis is rejected.
We can conclude that male and female consumers differ in the amounts they spend.
Answer:
The length of the model is 21 inches
Step-by-step explanation:
we have
The scale factor
That means
1 unit in the model represent 12 units in the actual
1 inch in the model represent 12 inches in the actual
Remember that
so
1 inch in the model represent 1 ft in the actual
The scale factor is
therefore
21 ft in the actual represent 21 inches in the model