Answer is option II
Given that there are 7 points earned for each touch down and 3 points for each field goal.
t represents thenumber of touchdowns and f the number of field goals.
Then points scored would be 7(t) +3(f) = 7t+3f
Hence we get 7t+3f =55
Also number of field goals was 1 more than twice the number of touchdowns.
Twice the touchdowns = 2(t)
f = 2t+1
Hence the two equations would be:
f = 2t+1
7t+3f =55
Hence option ii is the right answer.
Answer:
45.2°
Step-by-step explanation:
a = 14
b = 11
c = 10
The Law of Cosines is given as:
arccos (a²+b²﹣c²/2ab)
In this above question, to find m
= arccos(11²+14²﹣10²/2·11·14)
= 45.20717°
Approximately = 45.2°
Option d is the correct answer
<u><em>Answer to a.</em></u>
a. −14/15
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):

Use cosine trigonometric relation.
