Answer:
The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.
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 
.
So it is z with a pvalue of 
, so 
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 lower end of the interval is the sample mean subtracted by M. So it is 62 - 2.08 = 59.92
The upper end of the interval is the sample mean added to M. So it is 62 + 2.08 = 64.08.
The 90% confidence interval for the mean score of all takers of this test is between 59.92 and 64.08. The lower end is 59.92, and the upper end is 64.08.
Answer:
(the real answer would be 135.91) The numbers add (just the whole numbers) would be 135
Answer:
graph C
Step-by-step explanation:
because the vertex is h,k. h is -3 k is -25. C is the only graph with a vertex at that location.
Answer:
To calculate the volume of a cylinder, you need to know its height and the area of its base. Because a cylinder is a flat-top figure (a solid with two congruent, parallel bases), the base can be either the top or bottom
Step-by-step explanation:
The shape of the cross-section formed when a plane containing line AC and line EH intersects the cube is a rectangle.
<h3>What is the explanation for the submission above?</h3>
Note that the Area of the cross-section = 16 sqrt(2) = 22.63 sq. units. The justification for this is the properties of the Cubes.
- The top face ABCD is parallel and congruent to the bottom face EFGH....(A)
- Also, sides AE and CH are perpendicular to faces ABCD and EFGH ....(B)
Mathematically, we can righty state that Diagonals AC and EH are congruent .....(C)
Given the justification by (A), congruent top and bottom faces, let us look at the cross-section ACHE.
AC is congruent and parallel to EH (A) & (C)
EA & HC are perpendicular to AC (B)
Hence, the quadrilateral ACHE is a rectangle.
Step 2
Length of diagonal AC = sqrt(4^2+4^2) = 4 sqrt(2) Pythagoras theorem.
AE = CH = DG = 4 We state this because the of the properties of cube, all sides equal;
Hence, the Area of ACHE = 4* 4sqrt(2) = 16 sqrt(2)
= 22.63 sq. units
Learn more about Cuboids at:
brainly.com/question/1972490
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