Colton has 8 comedy movies, 6 action movies, 555 fantasy movies, and 1 drama movie on his list of favorite movies.
2 answers:
Answer:
The correct option is A.
Step-by-step explanation:
It is given that Colton has 8 comedy movies, 6 action movies, 5 fantasy movies, and 1 drama movie on his list of favorite movies.
Total number of favorite movies is
Therefore Colton has 20 movies in the list of favorite movies.
For every 5 movies on the list, there are 2 movies of required category.
For every 20 movies on the list, there are 8 movies of required category.
Out of 20 movies we have 8 comedy movies, therefore the required category is comedy movie.
The ratio of comedy movie and total movies is
Therefore we can say that for every 5 movies on the list, there are 2 comedy movies. Option A is correct.
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Answer:
The p value can be founded with this formula:
Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor
Step-by-step explanation:
Information given
represent the mean for Gibbs products
represent the mean for the competitor
represent the population standard deviation for Gibbs
represent the sample standard deviation for the competitor
sample size for the group Gibbs
sample size for the group competitor
Significance level provided
z would represent the statistic
Hypothesis to verify
We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The p value can be founded with this formula:
Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor
Answer:
Yes, vectors u and v are equal.
Step-by-step explanation:
We need to check whether vectors u and v are equal or not.
If the initial point is and terminal point is
, then the vector is
Vector v with an initial point of (-5,22) and a terminal point of (20,60).
..... (1)
Vector u with an initial point of (50,120) and a terminal point of (75,158).
.... (2)
From (1) and (2) we get
Therefore, vectors u and v are equal.