Farmer Jonson is putting together vegetable baskets. He has 270 carrots and 180 beets. What is the largest number of baskets he
can put together so that he can have the same number of carrots in each basket and the same number of beets in each basket? (Hint: to be able to distribute 180 beets into baskets equally, the number of baskets must be a factor of 180. Likewise, in order to be able to distribute the 270 carrots into the same number of baskets equally, the number of baskets must also be a factor of 270.)
Circumference=2*pi*r or pi*d so if its 16pi you know that your diameter is 16 wich means your radius is 8 because d/2 is your radius. plug the 8 into the area formula wich gives you the formula pi*8^2. 8squared is 64. 64 times pi is 201. <span>or 64pi wich is the area of the same circle with the circumfernce of 16pi
This is a test for a single variance. We would set up the test hypothesis.
For the null hypothesis,
H0: σ² ≥ 25
For the alternative hypothesis,
H1: σ² < 25
The formula for determining the test statistic,x² is
x² = (n - 1)s²/σ²
Where n - 1 is the degree of freedom, df.
df = 12 - 1 = 11
x² = (11 × 22.79)/25 = 10.0276
For a test of 90% reliability, Confidence level = 0.9
Cl = 1 - alpha(level of significance)
alpha = 1 - 0.9 = 0.1
The critical value from the chi-square distribution table is 17.28. Since 17.28 > 10.0276, we would reject the null hypothesis. Therefore, the filling machine does not need repair because the variance of the process is not more than 25 oz.
