Jk has endpoints j(-1,10) and k(-5,2). MN has endpoints M(9,-7) and N (1,-3).is JK congruent MN.
1 answer:
To determine if these line segments are congruent you can find the distances between the x values and the y values for each set of points.
(-1, 10) and (-5, 2). 4 on x axis and 8 on the y axis.
(9, -7) and (1, -3). 8 on the x axis and 4 on the y-axis.
This means they are congruent. Each triangle would have the same two side lengths making the hypotenuse the same.
(-1, 10) and (-5, 2). 4 on x axis and 8 on the y axis.
(9, -7) and (1, -3). 8 on the x axis and 4 on the y-axis.
This means they are congruent. Each triangle would have the same two side lengths making the hypotenuse the same.
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Answer:
P = 0.0215 = 2.15%
Step-by-step explanation:
First we need to convert the values of 900 and 975 to standard scores using the equation:
Where z is the standard value, x is the original value, is the mean and
is the standard deviation. So we have that:
standard value of 900:
standard value of 975:
Now, we just need to look at the standard distribution table (z-table) for the values of z = 2 and z = 3:
z = 2 -> p_2 = 0.9772
z = 3 -> p_3 = 0.9987
We want the interval between 900 and 975 hours, so we need the interval between z = 2 and z = 3, so we just need to subtract their p-values:
P = p_3 - p_2 = 0.9987 - 0.9772 = 0.0215
So the probability is 0.0215 = 2.15%