Total distance covered = 5 x 30 = 150 miles
Angle of travel with respect to south pole = 180 - 164°56' = 15°4'
Let the distance southwards covered be x, then
cos 15°4' = x/150
Thus, x = 150 cos 15°4' = 144.84
Therefore, the distance covered southwards = 145 miles to the nearest mile.
Answer:
11
Step-by-step explanation:
Opposite sides are congruent at parallelograms. So x+16 must be equal to 2x+5. Solve the equation;
2x+5 = x+16
x = 11 .
Answer:
The variance for the number of tasters is 4.2
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are tasters, or they are not. The probability of a person being a taster is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The variance of the binomial distribution is:
![V(X) = np(1-p)](https://tex.z-dn.net/?f=V%28X%29%20%3D%20np%281-p%29)
It is known that 70% of the American people are "tasters" with the rest are "non-tasters". Suppose a genetics class of size 20
This means that ![p = 0.7, n = 20](https://tex.z-dn.net/?f=p%20%3D%200.7%2C%20n%20%3D%2020)
So
![V(X) = np(1-p) = 20*0.7*0.3 = 4.2](https://tex.z-dn.net/?f=V%28X%29%20%3D%20np%281-p%29%20%3D%2020%2A0.7%2A0.3%20%3D%204.2)
The variance for the number of tasters is 4.2
Answer:
For the decimal form it is, 1369.71428571
The fraction form is 1369 (5/7)
Step-by-step explanation:
y-int: 140
slope: -4
to find the slope u gotta use the (y2-y1)/(x2-x1) formula
120-140 = -20
5-0 = 5
-20/5 = -4