Answer:
Option B. 1/2
Step-by-step explanation:
The smaller triangle is a dilation of the larger triangle with the center of dilation at (2, -1).
we have to calculate the scale factor of the dilation.
One point of the large triangle is (-4, -1). After dilation it has become (-1, -1) of the smaller one.
If we consider the x coordinates of the point x = -4 has reduced down to -1 therefore scale factor = side of small triangle/side of the large triangle = (2 + 1)/(2 + 4) = 3/6 = 1/2
Therefore Option B. 1/2 is the answer.
Answer:
1/72
Step-by-step explanation:
Probability of getting a 4 on white cube is:
P(W) · P(4) = 1/2 × 1/6 = 1/12
P(R) · P(>4) = 1/2 × 2/6 = 1/6
multiply both probabilities: 1/12 × 1/6 = 1/72
Answer:
Correct options are A,B,D:
- The sample needs to be random, but we don't know if it is.
- The actual count of community residents who received the concert brochure by mail is too small.
- n(1 minus p‐hat) is not greater than 10.
Step-by-step explanation:
Concert marketing: The college’s performing arts center wanted to investigate why ticket sales for the upcoming season significantly decreased from last year’s sales. The marketing staff collected data from a survey of community residents. Out of the 110 people surveyed, only 7 received the concert brochure in the mail.
1. (-1,-1) (2,-2)
2. (-3,0) (2,0)
3. (-4,-3) (-1,2)