Answer:
32.8937 units
Step-by-step explanation:
So, we can imagine this as a right triangle with a length of 11 (THe change of the X's) and the height being 31 (Change of the Y's)
Then we use pythagorean therom to find the hypotenuse (the length)
11^2 + 31^2 = c^2
121+961 = C^2
1082 = c^2
32.8937units
Answer:
1.a part, share, or number considered in comparative relation to a whole.
1/3 = 2/6
2.If a proposition is true, then we say it has a truth value of "true"; if a proposition is false, its truth value is "false". For example, "Grass is green", and "2 + 5 = 5" are propositions. The first proposition has the truth value of "true" and the second "false".
3.
Don't confuse cross multiplication with cross cancellation. You use cross cancellation to make multiplying fractions easier. Set the two cross products equal to each other. 1 · 2 = 2 and 0.5 · f = 0.5f.
Gemma gets 6 Biscuits and Zak gets 24 Biscuits.
Part A:
Significant level:
<span>α = 0.05
Null and alternative hypothesis:
</span><span>h0 : μ = 3 vs h1: μ ≠ 3
Test statistics:

P-value:
P(-0.9467) = 0.1719
Since the test is a two-tailed test, p-value = 2(0.1719) = 0.3438
Conclusion:
Since the p-value is greater than the significant level, we fail to reject the null hypothesis and conclude that there is no sufficient evidence that the true mean is different from 3.
Part B:
The power of the test is given by:

Therefore, the power of the test if </span><span>μ = 3.25 is 0.8105.
Part C:
</span>The <span>sample size that would be required to detect a true mean of 3.75 if we wanted the power to be at least 0.9 is obtained as follows:


Therefore, the </span>s<span>ample size that would be required to detect a true mean of 3.75 if we wanted the power to be at least 0.9 is 16.</span>