What is the value of B for the following triangular prism?
1 answer:
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Answer:
The margin of error is of 0.73 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 2.575.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The margin of error is of 0.73 oz.
The lower end of the interval is the sample mean subtracted by M. So it is 15.3 - 0.73 = 14.57 oz.
The upper end of the interval is the sample mean added to M. So it is 15.3 + 0.73 = 16.03 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.
QUESTION 1
The figure is a tra-pezoid.
The area of a trapezoid is given by the formula;
We substitute the values to obtain;
QUESTION 2
The approximate length of the ribbon is equal to the circumference of the circular table cloth.
We can find this by using the formula for calculating the circumference of a circle.
where is the radius of the circular table cloth.
We substitute this value and into the formula to get;
The approximate length of the ribbon is 22.0ft to the nearest tenth.
QUESTION 3
Type of quadrilateral:Rectangle
Explanation: A rectangle has 4 angles that are right angles.
The two pairs of opposite sides of a rectangle are also congruent.
QUESTION 4.
The circumference of a semi circle is calculated using the formula;
where is the radius of the semicircle.
QUESTION 5
The area of the entire figure is the area of the semicircle plus the area of the isosceles triangle.
QUESTION 6
The area of the parallelogram is given by the formula;
From the diagram, .
Given, A=23.7 inches squared.
We substitute the values to obtain;
QUESTION 7
The area of a rectangle is given by the formula;
The area of the bigger rectangle
The area of the smaller rectangle
The area of the shaded region