Using the <u>arrangements and the probability concept</u>, it is found that there is a 0.75 = 75% probability that the number formed is not divisible by 4.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- The number of possible arrangements of n elements is given by
In this problem, there are 4 elements, hence 
.
A number is a multiple of 4 if the <u>number composed by it's last 2 digits are multiples of 4</u>.
- Hence, the possible options for the last 2 digits are: 56, 68, 76.
- For each of them, there are
options for the first 2 digits, hence, there will be 2 x 3 = 6 multiples of 4.
The other 18 numbers formed are not divisible by 4, hence:
0.75 = 75% probability that the number formed is not divisible by 4.
For more on <u>arrangements and probabilities</u>, you can check brainly.com/question/24437717
Answer:
The correct point would be D) (6, 1.5)
Step-by-step explanation:
To find the y value, put in 6 for x in the equation and simplify.
y = x÷4
y = 6÷4
y = 1.5
Answer:
160 total beads
Step-by-step explanation:
so if 1/4 of the beads are red, then 3/4 of them are not.....so 3/4 is the remainder of beads.....and 3/5 of the remainder are yellow....so 3/5 of 3/4 =
3/5 * 3/4 = 9/20...so 9/20 are yellow.....and the rest (48) are blue.
1/4 + 9/20 = 5/20 + 9/20 = 14/20 reduces to 7/10...so 7/10 of the beads are red and yellow
so if 7/10 of the beads are red and yellow, then 3/10 are blue
3/10 of what number is 48
3/10x = 48
x = 48 * 10/3
x = 480/3
x = 160
let me check it..
1/4 are red......160 total beads.....so red beads = (1/4 * 160) = 160/4 = 40
3/5 of the remainder is yellow.....so 3/5 of (160 - 40) = 3/5(120) = 72 yellow
and then u have 48 blue...
40 + 72 + 48 = 160
so there are 160 total beads.......40 red, 72 yellow, and 48 blue <===
The answer is 8.25 years
The exponential function can be expressed as:
A = P * e^(kt)
A - the final amount
P - the current amount
k - the rate
t - time in years
If the final amount is the half of its current amount, then:
A = P/2
So,
A = P * e^(kt)
P/2 = P * e^(kt)
Divide P from both sides:
1/2 = e^(kt)
Logarithm both sides with natural logarithm:
ln(1/2) = ln(e^(kt))
ln(0.5) = kt * ln(e)
k = -0.084
-0.693 = -0.084 * t * 1
-0.693 = -0.084t
t = -0.693 / -0.084
t = 8.25 years
9514 1404 393
Answer:
D The new line would be less steep than the original line.
Step-by-step explanation:
Assuming the slope is change from 3 to 1/3, the new line would be less steep.
__
The steepness of a line increases as the magnitude of the slope increases. The slope 1/3 is less than 3, so a line with that slope is less steep than a line with a slope of 3.
