Answer:
45°,55° and 80°.
Step-by-step explanation:
Dilations preserve angle measures, regardless of the scale factor. Therefore, the angle measures of the image will be the same of that of the pre-image, so our answer is still 45 °, 55 °, and 80 °.
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<h2><em><u>negative relationship and not a causal relationship</u></em></h2>
Answer:
x=2.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
Family of 2
Cost, C1 = $25
Family of 6
Cost, C2 = $65
Given that 2 points are given above as the following in coordinate form:
A(2,25) and B(6,65)
Rate of change is given as = (y2 - y1)/(x2 - x1)
= (65 - 25)/(6-2)
= 40/4
Therefore,
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
(y - 25)/(65 - 25) = (x - 2)/(6 - 2)
(y - 25)/40 = (x - 2)/4
(y - 25) = 40/4 × (x - 2)
(y - 25) = 10 × (x - 2)
Expanding,
y - 25 = 10x - 20
y = 10x - 20 + 25
y = 10x + 5
Answer: Mean = 4.8
Standard deviation = 1.96
Step-by-step explanation:
The mean and standard deviation of the binomial distribution is given by :-
, where n is the total number of trials , p is the the probability of success.
Given : The probability that the produced by a particular manufacturer are less than 1.680 inches in diameter = 20%=0.2
Sample size : n=24 [since 1 dozen = 12]
Now, the mean and standard deviation of the binomial distribution is given by :-
