Answer:
21/24
Step-by-step explanation:
Answer:
The diagram is attached below.
Step-by-step explanation:
A normal distribution mean 0 and standard deviation 1 is known as the standard normal distribution.
So, the readings on the thermometers (denoted by <em>Z</em>) follows N (0, 1).
It is provided that 2.7% of the thermometers are rejected because they have readings that are too high and 2.7% are rejected because they have readings that are too low.
This implies that:

The value of <em>z</em> associated to both these probabilities are:
<em>z</em> = 1.93.
That is,

*Use a <em>z</em>-table.
The diagram for the two readings that are cutoff values separating the rejected thermometers from the others is attached below.
Answer:
The measurement which Jane finds to be 10 meters is the length of the banner.
Step-by-step explanation:
The measurement of 10 meters which Jane found after measuring how long the banner is before painting is the LENGTH of the banner.
This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.
It is possible to find the AREA, or PERIMETER, or LENGTH.
But what she finds is the LENGTH of the banner. If it was Area or Perimeter, the unit would have been square meters.
Answer:
5(9b + 8)
Step-by-step explanation:
Rewrite 45 as 5 * 9
Rewrite 40 as 5 * 8
= 5 * 9b + 5 * 8
Factor out common term 5
=5 (9b + 8)
9514 1404 393
Answer:
a) <8.356, 9.959>
b) <-0.605, -1.663>
c) <-5.023, 2.9>
Step-by-step explanation:
Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)
If you want to do these calculations by hand, the conversion is ...
<r, θ> ⇒ <r·cos(θ), r·sin(θ)>
In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.