any number larger than 1 or less than -1 will result enlargment (with center at (0,0)
so answers are:
10: enlargement
11: 2/5 = 0.4 reduction
12: redusction
13: 1 isometric
14: enlargment
15: reduction 16: scale is 1.5
17: scale is 0.5
18: scale is 0.5 19 triangles are not scaled. ther are different .
The diameter of the circle is 361 units
The solution would be like this for this specific problem:
H0: p = p0, or <span>
H0: p ≥ p0, or
H0: p ≤ p0 </span>
find the test statistic z
= (pHat - p0) / sqrt(p0 * (1-p0) / n)
where pHat = X / n
The p-value of the test is
the area under the normal curve that is in agreement with the alternate
hypothesis. <span>
H1: p ≠ p0; p-value is the area in the tails greater than |z|
H1: p < p0; p-value is the area to the left of z
H1: p > p0; p-value is the area to the right of z </span>
Hypothesis equation:
H0: p ≥ 0.67 vs. H1: p
< 0.67
The test statistic is: <span>
z = ( 0.5526316 - 0.67 ) / ( √ ( 0.67 * (1 - 0.67 ) / 38 )
z = -1.538681 </span>
The p-value = P( Z < z
) <span>
= P( Z < -1.538681 )
<span>= 0.0619</span></span>
30 ÷ 3 = 10 = 1/3. So 10 students play sports. 10 ÷ 5 = 2 = 1/5, so 2 × 2 = 4 = 2/5. Your answer is 4 students. I hope this helps!
