Answer: The margin of error is 0.041.
Step-by-step explanation:
Since we have given that
n = 1010
x = 515
So, it becomes
At 99% level of confidence ,
z = 2.58
So, Margin of error would be
Hence, the margin of error is 0.041.
The answer is x = 30 mm.
Similar shapes have proportional measurements. Hence:
side AB/side BC = side DE/side EF
1.) Substitute with given:
<span> AB/BC = DE/EF
10/4 = DE/12
2.) Cross multiply </span>10/4 = DE/12<span>
4DE = 120
3.) Divide both sides of the equation by 4 </span>to solve for DE:<span>
4DE/4 = 120/4
DE = 30 mm.
4.) Substitute and cross multiply to check if the values are equal:
</span> AB/BC = DE/EF
10/4 = 30/12
4(30) =10(12)
120 = 120
Answer:
$51.84
Step-by-step explanation:
The first step is to take the 20% off of the shoes. To do so, find 20% of 60. 0.20 (20% written as a decimal) * 60 = 12. Subtract 12 from 60 because the shoes are 20% OFF. 60 - 12 = 48.
Now, we must determine the price after sales tax. The sales tax is 8%. So, find 8% of 48. 0.08 (8% as a decimal) * 48 = 3.84. Then, add 3.84 to 48 because sales tax is an addition to the price. 48 + 3.84 = 51.84.
Now, add the label to have your final answer. The shoes cost $51.84.
The percent grade of the road will be 4.7692%.
<h3>How to calculate the percentage?</h3>
It should be noted that the difference will be:
= (1132 - 1070)/1.3 ÷ 1000
= 62/(1.3 × 1000)
= 62/1300
= 31/650
= 0.047692
Therefore, the percent grade of the road will be 4.7692%.
Learn more about percentages on:
brainly.com/question/24877689
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