To solve this, we can use the z statistic. The formula for
z score is given as:
z = (x – u) / s
where x is the actual cost = 4000, u is the mean cost =
5000, and s is the standard deviation = 2000
Solving for z:
z = (4000 – 5000) / 2000
z = - 0.5
<span>Therefore the piano cost is only 0.5 standard deviations
below the average cost.</span>
Answer: There are 6720 ways to award 5 distinct prizes.
Step-by-step explanation:
Given : Total number of contestants are entered = 8
The number of distinct prizes = 5
Since , the order of warding the prize matters , So we use Permutations.
The number of permutation of selecting r things out of n things =
Here , n= 8 and r=5
Then, the number of different ways 5 distinct prizes can be awarded
=
Hence, there are 6720 ways to award 5 distinct prizes.
Answer:
the answer is C I hope it helps you
Which relationships have the same constant of proportionality between yyy and xxx as the following table? xxx yyy 444 323232 777 565656 888 646464 Choose 3 answers: Choose 3 answers:
To solve this
problem, we must remember that the sum of interior angle of a polygon is:
Sum of
interior angles = (n – 2) * 180˚
So, we can say
that:
Sum of
interior angles = angle A + angle B + angle C + angle D = (4 – 2) * 180˚
Where,
angle C + angle
D = 110 + 70 = 180˚
Therefore
substituting this value:
angle A + angle
B + 180˚ = 2 * 108˚
angle A + angle
B = 360˚ - 180˚
angle A + angle
B = 180˚ (answer)
Hence we can
also conclude that,
<span>angle A + angle
B = angle C + angle D</span>