Answer:
First statement is correct.
Step-by-step explanation:
In the first statement,
in the left hand side, 10 has -3 as its power but in the right hand side +3 is the 10's power.
According to 10's power, left hand side < right hand side.
Hence, there is no need to check the other statements.
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.
The length and the width of the rug having an area of 40 square feet will be 5 feet and 8 feet respectively.
<h3>what is area?</h3>Area is defined as the space covered by any object in the two dimensional plane. Here it is given that the area of the rug should be 40 square feet and the length of the rug is 3 less then its width.
So to find out the length and the width we will form an equation.
Let the width is = x feet
So the length will be = x-3 feet
Now the area will be
By solving the quadratic equation
Here the value of x will be positive because length cant be negative.
So the width of the rug will be x=8 feet
Length of the rug will be x-3= 8-3=5 feet
Hence the length and the width of the rug having an area of 40 square feet will be 5 feet and 8 feet respectively.
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