Round 235,674 to the nearest thousand
2 answers:
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Answer:
38.9 square inches.
Step-by-step explanation:
We are asked to find the difference in area covered by a single 3 inch windshield wiper operating with a central angle of 138 degrees compared to a pair of 5 inch wipers operating together each having a central angle of 114 degrees.
We will use area of sector formula to solve our given problem as:
, where, r represents radius and theta represents central angle.
Let us find area of sector with central angle 140 degree and radius 3 inch.
Now, we will find area of sector with central angle 114 degree and radius 5 inch and multiply by 2 as:
Let us find difference of area as shown below:
Therefore, the difference in area covered is approximately 38.9 square inches.
Answer:
1. The required information are
The average annual bonuses, received by employees from company A
The average annual bonuses, received by employees from company B
The standard deviation, σ₁, of the average annual bonuses for employees from company A
The standard deviation, σ₂, of the average annual bonuses for employees from company A
The number of employees in company A, n₁
The number of employees in company B, n₂
2. The null hypothesis is H₀: -
≤ 100
The alternative hypothesis is Hₐ: -
> 100
Step-by-step explanation:
1. The required information are
The average annual bonuses, received by employees from company A
The average annual bonuses, received by employees from company B
The standard deviation, σ₁, of the average annual bonuses for employees from company A
The standard deviation, σ₂, of the average annual bonuses for employees from company A
The number of employees in company A, n₁
The number of employees in company B, n₂
2. The null hypothesis is H₀: -
≤ 100
The alternative hypothesis is Hₐ: -
> 100
The z value for the hypothesis testing of the difference between two means is given as follows;
At 0.5 level of significance, the critical = ± 0
The rejection region is z > and z < -
Therefore, the value of z obtained from the relation above more than or less than 0, we reject the null hypothesis, and we fail to reject the alternative hypothesis.