Answer:
There is not enough evidence to support the claim that the true average penetration is at most 50 mils.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 50
Sample mean,
= 52.8
Sample size, n = 45
Alpha, α = 0.05
Sample standard deviation, s = 4.5
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
The calculated test statistic is greater than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Conclusion:
There is not enough evidence to support the claim that the true average penetration is at most 50 mils.
Step-by-step explanation:
The congruence statement is correct as KL = KR, LM = RQ and MK = QK. Also all the congruent angles correspond to the respective letters.
Answer:
Quadratic Equations
A quadratic equation is one of the form ax2 + bx + c = 0, where a, b, and c are numbers, and a is not equal to 0.
Factoring
This approach to solving equations is based on the fact that if the product of two quantities is zero, then at least one of the quantities must be zero. In other words, if a*b = 0, then either a = 0, or b = 0, or both. For more on factoring polynomials, see the review section P.3 (p.26) of the text.
Example 1.
2x2 - 5x - 12 = 0.
(2x + 3)(x - 4) = 0.
2x + 3 = 0 or x - 4 = 0.
x = -3/2, or x = 4.
Answer: 0.27£
Explanation:
9 apples + 9 bananas = 2.43
9(apple + banana) = 2.43
Apple + banana = 2.43/9
Apple + banana = 0.27£
Therefore, the cost of an apple AND a banana is 0.27£
I believe that the answer for this is that she is going over budget considering that 100$ in debt she won't be able to pay because without the debt she would have to pay 1,605 out of her 1,700 so add 100 to 1,605 and she would be over budget