The set of numbers given can form 20 3-digit numbers that are divisible by 5.
Permutation is the number of ways an <em>r </em>digit number can be arranged from a set of<em> n </em>numbers. Also, this type of arrangement gives importance to the order or sequence of numbers.
Given: r = 3 digit number, n = 6 numbers in the set (2, 3, 5, 6, 7, and 9)
Since none of the digits should be repeated, then the number of choices each time decreases. In addition, the number should be divisible by 5, which means that the only number that should be at the end is 5. This leaves only five choices for the first number and four choices for the second number. We can now determine how many 3-digit numbers that are divisible by 5 can be formed from the set of numbers given.
Number of 3-digit numbers divisible by 5 = (first number)*(second number)*(third number)
Number of 3-digit numbers divisible by 5 = 5*4*1 = 20
To learn more about permutation, please refer to the link brainly.com/question/4658834.
#SPJ4
By the definition, An observed value of \bar{x} to estimate the mean of population is a point estimate and the statistic \bar{x} is a poiont estimator.
It is given that, "Hen 430 randomly selected light bulbs were tested in a laboratory"
That is, the Random sample size n= 430
The statement given that, "224 lasted more than 500 hours"
So x=224
Now find a point estimate of the last more than 500 hours proportion of all light bulbs:
Thus 
This implies that 
Thus the answer is D: 0.521.
*This is on the assumption that the equation is 
So firstly, you'll need to rewrite this as 
Next, remember the rule for exponents to radicals: "![x^\frac{m}{n}=\sqrt[n]{x^m}](https://tex.z-dn.net/?f=%20x%5E%5Cfrac%7Bm%7D%7Bn%7D%3D%5Csqrt%5Bn%5D%7Bx%5Em%7D%20%20)
. Applying this rule to both would look like this: 
Next, simplify 2^3: 
Next, apply the product rule of radicals (√ab = √a*√b) to this expression, and your answer will be 
Answer:
=4x2+12x+9
Step-by-step explanation:
(2x+3)(2x+3)
(happy to help)
Answer:
Step-by-step explanation:
let x and y be the sides of the rectangle.
2(x+y)=44
x+y=44/2=22
y=22-x
1 tile=1 sq. ft.
120 tiles=120 sq.ft.
area=120 sq.ft.
xy=120
x(22-x)=120
22x-x²=120
x²-22x+120=0
x²-12x-10x+120=0
x(x-12)-10(x-12)=0
(x-12)(x-10)=0
x=12,10
if x=12
y=22-12=10
if x=10
y=22-10=12
floor dimensions are 12 ft ×10 ft
