In the given table we note that there are six clear subintervals: [0, 0.5], [0.5, 1.0], [1.0, 1.5], [1.5, 2.0], [2.0, 2.5], and
gizmo_the_mogwai [7]
Answer:
The width is 0.5.
Δt, can be stated as follows = 0.5
Step-by-step explanation:
The change is 0.5
Answer:
The number of people needed is 
Step-by-step explanation:
From the question we are told that
The population proportion is 
The margin of error is 
From the question we are told the confidence level is 90% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the sample size is mathematically represented as
![n =[ \frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * p(1-p)](https://tex.z-dn.net/?f=n%20%3D%5B%20%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20p%281-p%29)
=> ![n =[ \frac{1.645 }{0.03} ]^2 * 0.65(1-0.65)](https://tex.z-dn.net/?f=n%20%3D%5B%20%5Cfrac%7B1.645%20%7D%7B0.03%7D%20%5D%5E2%20%2A%200.65%281-0.65%29)
=>
To get from 8.4 to 10 in multiplication, we need to multiply 8.4 by 10/8.4
That means that if we multiply 30 by 10/8.4 we get the answer
which is 35,714
The same with the other
8.4 times 100/30 = 28
Answer: 12 miles per gallon
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Yes. If the diagonals bisect the angles, the quadrilateral is always a parallelogram, specifically, a rhombus.
Consider quadrilateral ABCD. If diagonal AC bisects angles A and C, then ΔACB is congruent to ΔACD (ASA). Hence AB=AD and BC=CD (CPCTC).
Likewise, if diagonal BD bisects angles B and D, triangles BDA and BDC are congruent, thus AB=BC and AD=CD. (CPCTC again). Now, we have AB=BC=CD=AD, so the figure is a rhombus, hence a parallelogram.
