The speed limit on a road is 60 mph. the actual speeds of cars are measured and found to be normally distributed with a mean value of 63 mph and a standard deviation of 5 mph. approximately what percentage of cars exceed the speed limit by more than 10 mph?
a) 5.0%
b) 6296%
c) 7.3%
d) 8.1%

 8.1%

Step-by-step explanation:

Given :

Let x be the random variable that represents the actual speeds of cars.

The speed limit on a road is 60 mph.

Using formula , , we have for x= 60+10=70

Using z-table for right-tailed test value, The probability of  cars exceed the speed limit by more than 10 mph will be

Hence, the percentage of cars exceed the speed limit by more than 10 mph is 8.1%.

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.