Answer:
The right answer is Option B:
Step-by-step explanation:
In this case we have to perform a hypothesis test on the proportion of the people owning cats.
The claim is that the proportion is significantly different than 905, what means it can be greater or smaller than 90% to reject the null hypothesis. Because of that, the null hypothesis has to state an equality (H0:p=0.9).
The right answer is Option B:
Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
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<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
Answer:
The volume of the softball is 6.6 times the volume of the tennis ball
Step-by-step explanation:
we know that
The volume of a sphere is equal to
step 1
Find the volume of the softball
we have
substitute
step 2
Find the volume of the tennis ball
we have
substitute
step 3
Divide the volume of the softball by the volume of the tennis ball
therefore
The volume of the softball is 6.6 times the volume of the tennis ball
<em>Alternative Method</em>
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
The scale factor is equal to the ratio of its radius
therefore
The scale factor elevated to the cube is
therefore
The volume of the softball is 6.6 times the volume of the tennis ball