Answer: P(x < 0.285) = 0.0668
Step-by-step explanation:
Since the diameters of pencils produced by the machine are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = diameters of pencils produced .
µ = mean diameter
σ = standard deviation
From the information given,
µ = 0.30 inches
σ = 0.01 inches
The probability that the diameter of a randomly selected pencil will be less than 0.285 inches is expressed as
P(x < 0.285)
For x = 0.285
z = (0.285 - 0.30)/0.01 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.0668
Ok, so 8. is adjacent because it makes up a 90 angle and number 13. is vertical because it has 2 lines going through each other.
the 2 negatives get rid of eachother so its 2
2
Answer:
∠1 = 73
∠2 = 107
∠4 = 107
Step-by-step explanation:
∠1 and ∠3 are vertical angles
Vertical angles are congruent
Which means that because ∠3 = 73°, ∠1 also equals 73°
∠2 and ∠3 are supplementary angles
supplementary angles add up to equal 180
Thus, ∠2 + ∠3 = 180
If ∠3 = 73° then ∠2 + 73 = 180
180 - 73 = 107
Hence, ∠2 = 107
∠2 and ∠4 are vertical angles
Like stated previously vertical angles are congruent
Which means that because ∠2 = 107°, ∠4 also equals 107°