Answer:
The ratio 132 : 60 as a fraction is 132/60
The ratio 132 : 60 as a decimal is 2.2
The ratio 132 : 60 as a percent is 220%
B
If you need help to visualize it, think of 48 circles. Circle groups of 6 circles. Grouping the circles, is the same as plain dividing 48 by 6 without the pictures.
Based on the triangle sum theorem and the triangle inequality theorem:
1. B. 23°, 67°, 90°.
2. A. 1 cm, 2 cm, 3 cm.
<h3>What is the Triangle Sum Theorem?</h3>
According to the triangle sum theorem, all three interior angles of any triangle has a sum of 180 degrees.
What is the Triangle Inequality Theorem?
Based on the triangle inequality theorem, one side of a triangle must be less than or equals the sum of any other two sides of the triangle. (a + b ≥ c).
Part 1:
23° + 67° + 90° = 180°, therefore, based on the triangle sum theorem, the set of angle measures that could be the interior angles of a triangle is: B. 23°, 67°, 90°.
Part 2:
1 + 2 = 3
1 + 3 > 2
2 + 3 > 1
Therefore, based on the triangle inequality theorem, the set of side lengths that could be that of the sides of a triangle is: A. 1 cm, 2 cm, 3 cm.
Learn more about the triangle sum theorem on:
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Answer:
1. H0: σ2 ≤ 0.0008
Ha: σ2 > 0.0008
2. test statistic = 32.625
3. p value = 0.2931
4. D
Step-by-step explanation:
s² = 0.0009
alpha = 0.05
σ² = 0.0008 this is the value that we would be testing
1. <u>hypothesis</u><u>:</u>
H0: σ2 ≤ 0.0008
Ha: σ2 > 0.0008
2. <u>test </u><u>statistic</u><u>:</u>
X² = (n-1/σ²)s²
= ((30-1)/0.0008)0.0009
= 32.625
3. <u> </u><u>p-value:</u>
P(X² > 32.63) = 0.2931
4. <u>conclusion</u><u>:</u>
the p-value at 0.2931 is greater than alpha at 0.005, (0.2931>0.05). So the correct option is D. we do not reject H0. the sample does not support conclusion that the population variance specification is being violated.
