Answer:
11 km
Step-by-step explanation:
Assuming your "direction 030°" is a bearing measured clockwise from north, the amount the motorist moved east on the first leg of the journey was ...
(36 km)sin(30°) = 18 km
From that point, moving 7 km west makes his easterly position ...
18 km -7 km = 11 km . . . . east of O
_____
The sine of an angle is the ratio of the side opposite to the hypotenuse. You can find the length of the side opposite (the easterly motion) by multiplying the sine of the bearing angle by the distance of travel. A diagram can help.
Answer:
The goat population reaches 1000 in 12.4 years
Step-by-step explanation:
After <em>t </em>years, the number of goats is given by
where is the initial number of goats and <em>b</em> is the per capita growth rate.
From the question,
Answer:
(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(D)The mean number of points per player per game is the same at all 3 schools.
Step-by-step explanation:
<u>Baylor University</u>
6 players who each score 12 points per game
6 players who each score 0 points per game.
The Scores are: 0,0,0,0,0,0,12,12,12,12,12,12
<u>University of Maryland</u>
1 player scores 58 points per game,
1 player scores 14 points per game,
The rest(10) of the players score 0 points per game.
The Scores are: 0,0,0,0,0,0,0,0,0,0,14,58
<u> Dartmouth College</u>
4 players score 5 points per game,
4 players score 6 points per game,
4 players score 7 points per game.
The Scores are: 5,5,5,5,6,6,6,6,7,7,7,7
The following applies:
(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(D)The mean number of points per player per game is the same at all 3 schools.
Answer:
a) P(X<50)=0.9827
b) P(X>47)=0.4321
c) P(-1.5<z<1.5)=0.8664
Step-by-step explanation:
We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.
a) This means we have to calculate P(x<50).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:
b) We have to calculatee P(x>47).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:
c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5
So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):