Using the standard normal distribution, find the two z-scores that that form the middle shaded region. the shaded region is symmetric about z = 0 . round your z-scores to two decimal places.

Between (-0.675, 0.675)

Step-by-step explanation:

We know that a standard normal distribution curve is bell shaped unimodal , symmetrical about mean.

for thsi standard normal variate with notation z, we get mean =0 and std deviation = 1

For the middle shaded region, we find z such that the area between -z and z is 0.50 exactly half.

From standard normal distribution table, we get that z= ±0.675

Hence between z=-0.675 and z = 0.675 we get the middle region with area equal to exactly 1/2.

Between (-0.675, 0.675)

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3