Answer:
No; the slopes of segment LM and segment LN are not opposite reciprocals
Step-by-step explanation:
slope of LM: (2 - 0)/(2 - 0) = 1
slope of LN: (-1 - 0)/(2 - 0) = -1/2
Two lines are perpendicular when the multiplication of their slopes is equal to negative one, that is, they are opposite reciprocals. In this case:
slope of LM*slope of LN = 1*(-1/2) = -1/2
Answer: The answer is 2 more teaspoons. 7 more teaspoons. Mixture B would use more salt,3 more teaspoons.
Step-by-step explanation:
Total marbles = 2 + 7 = 9
P(Purple, then white) = (7/9)(2/8) = 7/36
Answer: 7/36
Using a calculator with the binompdf and binomcdf features, I can calculate these values. My calculator is a TI-83 plus, and the features are found under the 2nd, Vars keys (Scroll up or down until you see them).
If "exactly" is to be found, use binompdf:
binompdf(number of trials, probability of success, exactly number)
ANSWER for exactly 3: binompdf(8, 0.5, 3) = 0.21875 = 21.875%
If "at least" is to be found, use binomcdf:
binomcdf(number of trials, probability of success, at least number - 1)
ANSWER for at least 6: binomcdf(8, 1/2, 5) ≈ 0.8555 ≈ 85.55%
If "at most" is to be found, use binomcdf:
binomcdf(number of trials, probability of success, at most number)
ANSWER for at most 3: binomcdf(8, 0.5, 3) ≈ 0.3633 ≈ 36.33%
Answer:
see explanation
Step-by-step explanation:
The secant- secant angle PRS is half the measure of the difference of the intercepted arcs, that is
(PD - QS) = 50 ( multiply both sides by 2 )
PD - QS = 100, that is
12x + 8 - (4x + 4) = 100
12x + 8 - 4x - 4 = 100
8x + 4 = 100 ( subtract 4 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Thus
arc PD = 12(12) + 8 = 144 + 8 = 152°
arc QS = 4(12) + 4 = 48 + 4 = 52°