Answer:
u problem can not be fixed, sorry
The conclusion of the research is that we reject the null hypothesis and we conclude that the bag filling machine does not work correctly at the 426 gram setting.
<h3>How to solve hypothesis testing?</h3>
We are given;
Population Mean; μ = 426
Sample mean; x' = 433
Sample size; n = 13
Standard deviation; s = 29
significance level; α = 0.05
Let us define the hypotheses;
Null Hypothesis; H₀: μ = 426 g
Alternative Hypothesis; H_a: μ < 426 g
Formula for the z-score here is;
z = (x' - μ)/(s/√n)
z = (433 - 426)/(29/√13)
z = 0.87
From online p-value from z-score calculator, we have;
p-value = 0.1922
This p-value is greater than the significance value and as such we reject the null hypothesis and we conclude that the bag filling machine does not work correctly at the 426 gram setting.
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Based on the information given, the value of the area of the irregular figure will be 13.7 ft².
<h3>How to calculate the area.</h3>
From the complete question, the area of a triangle will be:
= 0.5 x base x height
= 0.5 x 3.6 x 4.8
= 8.64 ft²
Area of the semicircle = 0.5πr²
Area of the semicircle = 0.5 x 3.14 x 1.8²
Area of the semicircle = 5.09 ft²
Area of the irregular figure = Area of the semicircle + Area of the triangle
= 5.09 ft² + 8.64 ft²
= 13.73ft² = 13.7 ft²
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"If this month is September, then next month ends in the letter r." This is a valid converse statement.
The converse of a conditional statement is made once the hypothesis and conclusion are reversed. Likewise, the converse statement, “If the grass is wet, then it's raining” is logically such as the inverse statement, “If it's NOT descending, then the grass isn't wet.” These relationships are significantly useful in mathematics courses once you are asked to prove theorems supported definitions that are already best-known.
This converse statement is valid as after the month of September, the month of October comes and it ends with letter 'r'.
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