8% of $650 is 52$.
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Answer: the night temperature was 3 degrees below the afternoon temperature
Step-by-step explanation:
Answer:
2.37 ; 1.6731
Step-by-step explanation:
Given the data:
X:___0____1____2____3____4____5
P(x):_0.10_0.15_0.26__0.30_0.15__0.04
the expected frequency of floods per town per summer
Σ(flood per Town per summer) * probability
Σ(X)*p(x)
Σ(0*0.10) + (1*0.15) + (2*0.26) + (3*0.30) + (4*0.15) + (5*0.04)
= (0 + 0.15 + 0.52 + 0.90 + 0.60 + 0.2)
= 2.37
Variance (s²) :
Σ[x². P(x)] - u²
Using an online variance calculator to save computation time :
s² = 16731 / 10000
s² = 1.6731
1) Converting true bearing to quadrant:
a) 140 degrees.
Taking North as origin, it would be:
E50S
So, final answer for this part is E50S
b) 94 degrees
Taking North as origin position, it would be: E04S
So, final answer for this part is E04S
2) Converting to true-bearing:
a) S50W = from north, it would be: 180+ 50 = 230 degrees
So, 230 degrees is the answer.
b) N15W = from north, in anti-clock wise direction (direction in which we usually calculate) would be: 360-15 = 345
So, 345 degrees is the answer.
Hope this helps!
Step-by-step explanation:
according to the property of the parallelogram m(OPE)=m(OHE), then 2x+25=3x-15, then (after calculation the 'x'):
1. x=40;
2. m(OHE)=2*40+25=105°;
3. m(OPE)=3x-15=3*40-15=105°;
4. m(HOP)=180-m(OPE)=180-105=75°;
5. m(HEP)=m(HOP)=75°.