Answer:
0.68268
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = 85
z = 85 - 105/20
z = -1
Probability value from Z-Table:
P(x = 85) = 0.15866
For x = 125
z = 125 - 105/20
z = 1
Probabilty value from Z-Table:
P(x = 125) = 0.84134
The probability that a randomly selected adult has an IQ between 85 and 125 is calculated as:
P(x = 125) - P(x = 85)
= 0.84134 - 0.15866
= 0.68268
Answer:
6. x = 15
7. JL = 78
Step-by-step explanation:
6. 8x - 23 = ½(10x + 44) (midsegment theorem)
Multiply both sides by 2
2(8x - 23) = 10x + 44
16x - 46 = 10x + 44
Collect like terms
16x - 10x = 46 + 44
6x = 90
Divide both sides by 6
x = 90/6
x = 15
7. MN = 5x - 16
JL = 4x + 34
MN = ½(JL) (midsegment theorem)
5x - 16 = ½(4x + 34) (substitution)
2(5x - 16) = 4x + 34
10x - 32 = 4x + 34
Collect like terms
10x - 4x = 32 + 34
6x = 66
x = 66/6
x = 11
JL = 4x + 34
Plug in the value of x
JL = 4(11) + 34 = 44 + 34
JL = 78
Answer:
B. multiplying the percentage of work done by the physical units.
Step-by-step explanation:
Equivalent units are calculated by multiplying the number of physical (or actual) units on hand by the percentage of completion of the units. If the physical units are 100 percent complete, equivalent units will be the same as the physical units. However, if the physical units are not 100 percent complete, the equivalent units will be less than the physical units.
Answer:
X=16
Step-by-step explanation:
Solving for variable 'x'.
Add '-6x' to each side of the equation.
20 + 4x + -6x = -12 + 6x + -6x
Combine like terms: 4x + -6x = -2x
20 + -2x = -12 + 6x + -6x
Combine like terms: 6x + -6x = 0
20 + -2x = -12 + 0
20 + -2x = -12
Add '-20' to each side of the equation.
20 + -20 + -2x = -12 + -20
Combine like terms: 20 + -20 = 0
0 + -2x = -12 + -20
-2x = -12 + -20
Combine like terms: -12 + -20 = -32
-2x = -32
Divide each side by '-2'.
x = 16
Simplifying
x = 16