Eliminate the y in the following system of equations. What is the result when you add the two equations?
2 answers:
You might be interested in
Answer:
There is evidence to show that the single-earner couples on average spend more time watching television together
Step-by-step explanation:
Given that a recent study compared the time spent together by single- and dual-earner couples. According to the records kept by the wives during the study, the mean amount of time spent together watching television among the single-earner couples was 61 minutes per day, with a standard deviation of 15.5 minutes. For the dual-earner couples, the mean number of minutes spent watching television was 48.4 minutes, with a standard deviation of 18.1 minutes.
(Right tailed test where x stands for single earner and y for double)
Let us assume sample sizes are 500 each.
Difference -12.600
Standard error 1.066
95% CI -14.6913 to -10.5087
t-statistic -11.823
DF 998
Significance level P < 0.0001
Since p is less than alpha we reject null hypothesis.
There is evidence to show that the single-earner couples on average spend more time watching television together
The probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.
<h3>What is probability?</h3>Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.
John is playing a game of darts. In this game of dart,
- The probability that he throws a dart into the center of the dart board (the Bull’s eye) is 1/10.
- The probability that he throws the dart into the 10-point ring is 3/10.
The probability that he either hits a Bull’s eye or scores 10 points is equal to the sum of the probability he hits the bull's eye and the probability that he throws the dart into the 10-points ring.
Let, the probability that he either hits a Bull’s eye or scores 10 points is P. Thus,
Hence, the probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.
Learn more about the probability here;