When a point is reflected across the x-axis, it's y value is flipped. Here is a formula for your future reference:
X-axis reflection: (x,-y)
Using your given coordinates, you simply plug the numbers in, resulting in final coordinates of (5,3.5).
Because the problem asks for the distance between the two points, you now have to find the difference between -3.5 and 3.5, which is 7.
There you go; the distance between the points is 7 units.
Answer:
The answer is 71.61%.
Step-by-step explanation:
Households discarding paper week is given to be normally distributed with a mean,
= 9.4 lb.
The normally distributed distribution has a standard deviation given as
= 4.2 lb.
The proportion of households that throw out at least 7 lb of paper a week is to be found.
Therefore we have to find p(X ≥ 7) which can be written as
p(X ≥ 7) = 1 - p(X < 7)
= 1 - p( Z <
)
= 1 - p( Z <
)
= 1 - p( Z < -0.571 )
= 1 - 0.2839
= 0.7161
Therefore the percentage of households that throw out at least 7 lb paper a week is 71.61%
Answer:
7.95
Step-by-step explanation:
In order to solve this, we need to use the rule of sine which is (a/sinA)=(b/sinB)=(c/sinC). Since we have both values of c we can do (12/sin104), which equals ~12.37. Therefore, since we already have A, 12.37=(a/sin40). We can change this by doing sin40×12.37=a. sin40×12.37=7.95.
Answer:
52 thousandths is 5.2 x 10^-2 (0.052)