Answer: 2
Explanation: got off math wy in pic
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 25
The sample mean is 
The standard deviation is 
Let assume the level of significance of this test is 
The null hypothesis is 
The alternative hypothesis is 
Generally the degree of freedom is mathematically represented as

=> 
=> 
Generally the test statistics is mathematically represented as

=> 
=> 
Generally from the student t distribution table the probability of obtaining
to the right of the curve at a degree of freedom of
is

From the value obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Answer:
The Distance cover by boat in 2 hours and 15 minutes is 72 km
Step-by-step explanation:
Given as :
The Distance cover by boat = 128 kilometer
The time taken is 4 hours
As , Distance = Speed ×Time
So , Speed = 
Or, Speed = 
∴ Speed = 32 km per hour
Now, again The boat travel 2 hours and 15 minutes further with speed 32 kmph
So, Time2 = 2 +
Or, Time2 = 2 +
I.e Time2 =
hours
Again , Distance = Speed ×Time
So , Distance = 32kmph ×
hours
I.e Distance =
= 72 kilometer
Hence The Distance cover by boat in 2 hours and 15 minutes is 72 km Answer
The graph that shows the solutions for the inequality, y > -1/3x + 1 is: C. Graph A.
<h3>How to Find the Graph of a Linear Inequality?</h3>
The inequality sign, ">" means that the graph of the inequality has a dashed line where the shaded part is above the boundary line and the boundary line is dashed or dotted. If "≥" is used, the boundary line would not be dashed or dotted and the shaded area would be above it.
On the other hand, "<" is used when the shaded area is below the boundary line and the boundary line is a dashed line. If "≤" was used, the boundary line won't be dashed or dotted, while the shaded area would be below the boundary line that is not dotted.
Given y > -1/3x + 1, the slope (m) = change in y / change in x is -1/3.
Graph A has a slope of -1/3 and the shaded part is above the boundary line.
Therefore, the graph that shows the solutions for y > -1/3x + 1 is: C. Graph A.
Learn more about inequality graph on:
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