Answer:
0.1 or 1/10
Step-by-step explanation:
The digits 4, 5, 6, 7 and 8 are randomly arranged to form a three digit number, where the digits are not repeated.
This is question of permutation.
Imagine this sum as; there are 3 boxes(blank spaces for digits) and 5 different fruits(digits) are to be put in these boxes, where a box can hold a maximum of only 1 fruit. The number of such permutations are: ⁵P₃
By formula (a! is factorial a):
ᵃPₙ ![= \frac{a!}{(a-n)!}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7Ba%21%7D%7B%28a-n%29%21%7D)
⁵P₃ ![= \frac{5!}{(5-3)!}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%21%7D%7B%285-3%29%21%7D)
⁵P₃ ![= \frac{5!}{2!}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%21%7D%7B2%21%7D)
⁵P₃ ![= \frac{5*4*3*2*1}{2*1}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%2A4%2A3%2A2%2A1%7D%7B2%2A1%7D)
⁵P₃= 60
This is the total count of possible numbers that can be formed.
Now, for a number to be greater than 800 and even; first digit should necessarily be 8. Last digit can be 4 or 6. Using these conditions, there are 6 possibilities. 854, 864, 874, 846, 856, 876 are the numbers.
The probability that number is even and greater than 800 is:
![P=\frac{ favorable outcomes}{equally likely possible outcomes}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%20favorable%20outcomes%7D%7Bequally%20likely%20possible%20outcomes%7D)
![P=\frac{6}{60}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B6%7D%7B60%7D)
![P=\frac{1}{10}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B1%7D%7B10%7D)
285 is the answer. 190÷4=47.5
47.5×6=285
The formula for calculating the height is h = 3V/πr²
<h3>Subject of the formula</h3>
The formula given is the formula for calculating the volume of a cone
V = 1/3πr²h
where
h is the height
r is the radius
Make h the subject of the formula
Cross multiply
3V = πr²h
Divide both sides by πr²
3V/πr² = πr²h/πr²
h = 3V/πr²
Hence the formula for calculating the height is h = 3V/πr²
Learn more on subject of formula here: brainly.com/question/657646
#SPJ1
The structure makes a right triangle with the hypotenuse of 23 ft.
To find the height of the can we need length along y or...
sin(31 degrees) x 23 ft = 11.85 ft approx.
answer: 11.85 ft approx.
Answer: $0.24
Multiply the cost and the pencils to get 1.5 then do 1.74-1.5 to get 0.24