In the figure below
1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

Where

Thus,

thus, BC = 7.5
2) BX = 9, BA = 15, BY = 15, YC = y
In the above diagram,

Thus, from the theorem of similar triangles,

solving for y, we have

thus, YC = 10.
Answer: 40%
Step-by-step explanation:
first you symplify your fraction:
12/30 = 2/5
then divide your numerator from your denominator:
2÷5 =0.4
then you convert your decimal into a percentage:
0.4×100=40%
Answer:
The 99% confidence interval would be given by (0.286;0.562)
Step-by-step explanation:
Information given:
represent the families owned at least one DVD player
represent the total number of families
represent the estimated proportion of families owned at least one DVD player
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 99% confidence interval would be given by (0.286;0.562)
Answer:
y=7
Step-by-step explanation:
Since y "b" of the triangle is x and the hypotenuse is 2x, you can divide 14 by 2 and get 7, the answer.
Answer:
A) 315/1005
Explanation:
Total choices: 120 + 255 + 35 + 60 + 200 + 110 + 75 + 150 = 1005
Favorable choices: 255 + 60 = 315
probability:
favorable choices/total choices
315/1005
21/67