Answer:
a) 0.8413
b) 0.6293
Step-by-step explanation:
Data provided:
Mean tax paid = $2000
Standard deviation = $500
Sample size, n = 625
n=625
Now,
a) P( average tax paid on the sample forms is greater than $1980)
⇒ P(X > 1980)
or
⇒ 
or
⇒ 
or
⇒ P(Z > -1)
or
= 0.8413 (From standard normal table)
b) P(more than 60 of the sampled forms have a tax of greater than $3000)
given: p = 10% = 0.1
Now, by using CLT
mean = n × p
= 625 × 0.1
= 62.5
Standard deviation, s =
=
= 7.5
Thus,
P(X > 60)
= 
or
= P(Z > -0.33)
= 0.6293 (From standard normal table)
ANSWER
M=(−3,72)
Find A midpoint calculator on the internet
To answer this question, we need to write all sets of numbers that the given number belongs to.
For the first one, which is -4/5, it belongs to rational numbers and also to real numbers. We know this because it can be wrote in the form a/b (rational number) and if it is a rational number it has to be a real number.
It is not an integer or a natural number.
In a parallelogram, opposite angles are congruent. However, the same thing cannot be said for the other.
You can label one pair of opposite angles with x and the other 9x.
You also know that each quadrilateral has interior angles that add up to 360 so you can create the equation of
9x+9x+x+x=360
which can be simplified into
20x=360
x=18
Now, you know the angle measures of one pair of opposite angles. to find the other you plug in 18 to our other equation and multiply 9 to get 162.
The angles of the parallelogram is 18,18, 162 and 162.
Note: you can check if this is right if all the angles add up to 360.
The answer to the problem is 44 in^2.
