What does the abbreviation for the Latin phrase Anno Domini refer to?
1 answer:
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Answer:
- corner angles are 80° (∠JKL) and 100° (∠MJK)
- side lengths are 2√61
Step-by-step explanation:
The given length measures are the diagonals of the rhombus, so each side will be the hypotenuse of the triangle with legs half as long:
√(12² +10²) = √244 = 2√61 ≈ 15.62 . . . . side length
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The given angle measure is half the measure at ∠J. The full measure of ∠J is 100°, so the measure of ∠K is 180° -100° = 80°
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Step-by-step explanation:
From the question we are told that
The population proportion is
The sample size is n = 1640
The number found to be living with at least one grandparent is
The level of significance is
The null hypothesis is
The alternative hypothesis is
Generally the sample proportion is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
From the z table the area under the normal curve to the left corresponding to 0.0077 is
From the value obtained we see that hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%