Step-by-step explanation:
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Answer: Option C.
Step-by-step explanation:
You need to find the distance AB with the formula for calculate the distance between two points:
Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:
You know that A'B'=6, then the scale factor of dilation can be calculated with:
Substituting values, you get:
This matches with the option C.
Answer
7.53
1,227 then divide that by 163 so
1,227÷163= 7.53 so then you would go
163 and multiply 7.53 and you would get 1,227
Answer:
Step-by-step explanation:
Suppose the time required for an auto shop to do a tune-up is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = points scored by students
u = mean time
s = standard deviation
From the information given,
u = 102 minutes
s = 18 minutes
1) We want to find the probability that a tune-up will take more than 2hrs. It is expressed as
P(x > 120 minutes) = 1 - P(x ≤ 120)
For x = 120
z = (120 - 102)/18 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.8413
P(x > 120) = 1 - 0.8413 = 0.1587
2) We want to find the probability that a tune-up will take lesser than 66 minutes. It is expressed as
P(x < 66 minutes)
For x = 66
z = (66 - 102)/18 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
P(x < 66 minutes) = 0.02275
Answer:
The value of w is 7.
Step-by-step explanation:
According to Pythagoras theorem,
Hypotenuse²=Perpendicular²+Base²
H²=P²+B²
Here,
Hypotenuse given=7√2
w=y
Perpendicular=Base=x
(7√2)²=x²+x²
49*2=2x²
(49*2)/2=x²
49=x²
√49=x
7=x
Perpendicular=x=7
