Some measurement on a population has a Normal distribution with expectation of 1000 and standard deviation of 150. We denote the difference between the 0.75-percentile and the 0.25-percentile the Interquartile Range. Identify a measurement value as outlier if it is larger than the 0.75-percentile plus 1.5 times the interquartile range or it is smaller than the the 0.25-percentile minus 1.5 times the interquartile range. The next 5 questions correspond to this information. The answer may be rounded up to 3 decimal places of the actual value: a. The 0.25-percentile of the measurement is
b. The 0.75-percentile of the measurement is
c. The interquartile range of the measurement is
d. The probability that a random measurement will be identified as outlier is

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

2.56 is the width of the garden

step-by-step explanation:

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

answerim :

n

step-by-step explanation:

im not sure but my dad knows