Given that the length of one leg is 6 and the angle is 40°
The hypotenuse is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Simplifying, we have;
Dividing, we get;
Therefore, the value of x is 7.83(app.)
Hence, Option A is the correct answer.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Step-by-step explanation:
From the question we are told that
The first sample size is
The number that tested positive is
The second sample size is
The number that tested positive is
The level of significance is
Generally the first sample proportion is mathematically represented as
=>
=>
Generally the second sample proportion is mathematically represented as
=>
=>
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented
=>
=>
From the z table the area under the normal curve to the right corresponding to 1.56 is
Generally the p-value is mathematically represented as
=>
=>
From the value obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Answer:
300%
Step-by-step explanation:
Given
Required
Find the percentage change in y when x decreased by 50%
First, convert to equation
Where k is the constant of proportionality
When x decreased by 50%
Expand
Substitute for y
The percentage change is then calculated as:
<em>The percentage in y is 300%</em>