Answer:
the probability that less than 33% of the people sampled will answer yes to the question =0.5676
Step-by-step explanation:
Answer: $1411.50
Step-by-step explanation:
Since the sale price is $35 each and there are 30 units, the cost will be:
= $35 × 30
= $1050
We then add the sales tax on the product which is 8%. This will be:
= $1050 + (8% × $1050)
= $1050 + (0.08 × $1050)
= $1050 + $84
= $1134
We then add Shipping price which is $15. This will be:
= $1134 + $15
= $1149
We then add the 25% rush charge on the sales price. This will be:
= $1050 × 25%
= $1050 × 0.25
= $262.50
To get total cost, this will be:
= $1149 + $262.50
= $1411.50
For the answer to the question above asking to f<span>ind the coordinates of Z without using any new variables.
</span>
Vector WZ equals vector VP, which is (p, -q)
So Z is (-p - r + p, q - q) which is (-r, 0)
I hope my answer helped you.
Answer:
106.1 ft/s
Step-by-step explanation:
You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.
The speed is the ratio of distance to time:
speed = distance/time = 127.2972 ft/(1.2 s) ≈ 106.1 ft/s.
_____
In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:
d² = 1² + 1²
d² = 2
d = √2
Since this is the diagonal for a side length of 1, any other side length will serve as a scale factor for this value. A square with a side length of 90 ft will have a diagonal measuring 90√2 ft.