If (2,-5) is a point on a line with an
1 answer:
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Answer:
1st option is correct i.e., 1 over 2
Step-by-step explanation:
Given that Triangle ABC transformed to Triangle A'B'C'.
Coordinated of Triangle ABC are A(2,6) , B(2,4) and C(4,4)
Coordinated of Triangle A'B'C' are A'(1,3), B'(1,2) and C'(2,2)
Scale factor of Dilation is the no. of times coordinates of vertices of a figure increase or decrease.i.e.,
if A(a,b) ⇒ A'(c,d)
where, a.k=c & b.k=d then k is scale factor of dilation.
Value of k is same for all vertices.
For coordinates of A & A' ,we have
For coordinates of B & B' ,we have
For coordinates of C & C' ,we have
Therefore, the scale factor of dilation is since in all cases
1st option is correct i.e., 1 over 2
Answer:
8
Step-by-step explanation:
First off, we need to recognize that the formula for the volume of a sphere is .
Then, we can plug in our r values one at a time.
The volume for the sphere with a 6-inch radius is about 904.779.
The volume for the sphere with a 3-inch radius is about 113.097.
To find how much greater the larger sphere is, we simply create a ratio between the two numbers:
Do the division to find that the volume of the larger sphere is about 8 times the volume of the smaller sphere.
Using the binomial distribution, it is found that there is a 0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
Considering that there are 4 questions, and each has 5 choices, the parameters are given as follows:
n = 4, p = 1/5 = 0.2.
The probability that he answers exactly 1 question correctly in the last 4 questions is P(X = 1), hence:
0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.
More can be learned about the binomial distribution at brainly.com/question/24863377
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