The weights of the cars passing over a bridge have a mean 3,550 pounds and standard deviation of 870 pounds. Assume that the weights of the cars passing over the bridge are normally distributed. Use the empirical rule to estimate the percentage of cars over the bridge whose weights are between 1810 and 4420 lbs. a. 13.5%
b. 81.5%
c. 68%
d. 95%

Mean = 3550

SD = 870

Find P(1810 <x<4420)

z = x -mean / sd

= (1810 - 3550 / 870) < z< (4420 - 3550 / 870)

= -2 <z< 1

Using the -z table -2 = 0.0228 and 1 = 0.8413

Subtract: 0.8413 - 0.0228 = 0.8185 x 100 = 81.85%

Rounding everything may change answer slightly so

The closest one is B 81.5%

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions