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Answer:
He have <u>47</u> ducks and <u>7</u> cows.
Step-by-step explanation:
Given:
Farmer Jones raises ducks and cows.
He looks out his window and sees 54 animals with a total of 122 feet.
Now, to find the each type of animal he have.
Let the number of ducks be
And the number of cows be
So, total number of animals are:
....( 1 )
As, the feet of cows are 4 and ducks are 2.
Now, the total number of feet are:
Substituting the value of from equation (1) we get:
<em>Subtracting both sides by 108 we get:</em>
<em>Dividing both sides by 2 we get:</em>
<em>The number of cows = 7.</em>
Now, to get the number of ducks we substitute the value of in equation (1):
<em>The number of ducks = 47.</em>
Therefore, he have 47 ducks and 7 cows.
Answer:
Step-by-step explanation:
Given that :
population mean μ = 120
sample size n = 37
sample mean x = 111
standard deviation = 21
The null hypothesis and the alternative hypothesis can be computed as:
The null hypothesis:
The alternative hypothesis:
Since this test is two-tailed, the value for the test statistics can be computed as:
z = -2.605
z = -2.61
Since this is a two-tailed test
P-value = 2(z < -2.61)
From the z table;
P-value = 2(0.0045)
P -value = 0.009
Decision rule: To reject the null hypothesis if the p-value is lesser than the level of significance
Conclusion: We reject the null hypothesis since the p-value is lesser than the level of significance. Thus, there is sufficient evidence to conclude that the average breaking distance differs from 120 feet.