Answer:
The p value would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance
Step-by-step explanation:
Information given
n=145 represent the random sample taken
X=89 represent the number of people who believed the supermarket brand was as good as the national brand
estimated proportion of people who believed the supermarket brand was as good as the national brand
is the value to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true proportion is less than 0.64, the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
The p value would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is significantly less than 0.64 at 5% of significance
Answer:
The maximum distance traveled is 4.73 meters in 0.23 seconds.
Step-by-step explanation:
We have that the distance traveled with respect to time is given by the function,
.
Now, differentiating this function with respect to time 't', we get,
d'(t)=9.8t-2.3
Equating d'(t) by 0 gives,
9.8t - 2.3 = 0
i.e. 9.8t = 2.3
i.e. t = 0.23 seconds
Substitute this value in d'(t) gives,
d'(t) = 9.8 × 0.23 - 2.3
d'(t) = 2.254 - 2.3
d'(t) = -0.046.
As, d'(t) < 0, we get that the function has the maximum value at t = 0.23 seconds.
Thus, the maximum distance the skateboard can travel is given by,
.
i.e. 
.
i.e. 
.
i.e. .
i.e. d(t) = 4.73021
Hence, the maximum distance traveled is 4.73 meters in 0.23 seconds.
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, - 2) and (x₂, y₂ ) = (1, 6)
m = 
= 
= 
= 2
Answer:
Domain: 
Range: 
Step-by-step explanation:
The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following: , because this is the set of real values for which the function will produce a real output.
The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).
Answer:
?
Step-by-step explanation:
impossible to answer without knowing which is the divisor and which is the dividend.
