Answer:
KM = 7 Units
Step-by-step explanation:
In the given structure ΔKLM
∠KLM = 30° and side KL = 14 and ∠KML = 90°
and we have to find the measurement of KM.
From right angle triangle KLM
Side Sin30° = KM/KL = KM/14
KM = 14×sin30° = 14×1/2 = 7
So the answer is KM = 7 Units
Answer:
7.3% of the bearings produced will not be acceptable
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Target value of .500 in. A bearing is acceptable if its diameter is within .004 in. of this target value.
So bearing larger than 0.504 in or smaller than 0.496 in are not acceptable.
Larger than 0.504
1 subtracted by the pvalue of Z when X = 0.504.



has a pvalue of 0.9938
1 - 0.9938= 0.0062
Smaller than 0.496
pvalue of Z when X = -1.5



has a pvalue of 0.0668
0.0668 + 0.0062 = 0.073
7.3% of the bearings produced will not be acceptable
Answer:
I figure you could simplify it by multiplying both sides by 6, resulting in -31+23=-30+18-1+5
-8=-8
Step-by-step explanation:
Answer:
6.4 inches
Step-by-step explanation:
We are going to have to use ratio's here. We know that 1 inch = 2.5 feet and we know that Terrance is making a scale model of a car that is 16 feet long. We need to work out the length of the car in inches so,
1 inches = 2.5 feet
? inches = 16 feet
→ We are going to divide 16 by 2.5 and then multiply that answer by 1 to get our result so
16 ÷ 2.5 = 6.4
6.4 × 1 = 6.4
The final answer is 6.4 inches
Step-by-step explanation:
angle 2 = 180-39= 141°
angle 2 = 141°