Answer:
1 is a increase
2 is decrease
Step-by-step explanation:
Answer:
<u>The correct answer is 5/24 or 0.21</u>
Step-by-step explanation:
1. Let's review all the information given to answer the question correctly:
Science class in seventh grade = 4 girls and 4 boys
Science class in eighth grade = 5 girls and 7 boys
2. What is the probability that both students selected for the competition are girls, a seventh grader and an eighth grader?
These are independent events, therefore:
Probability of two independent events = Probability of A * Probability of B
Probability of both students selected for the competition are girls = 4/8 * 5/12
Probability of both students selected for the competition are girls = 20/96 = 5/24
<u>The correct answer is 5/24 or 0.21</u>
The numbers are 9 and 10.
Let x be the first number. Since they are consecutive, this means (x+1) represents the second number.
The square of x is x². The square of (x+1) is
(x+1)²=(x+1)(x+1)=x²+1x+1x+1=x²+2x+1
The difference of these squares would be given by
x²+2x+1 - x²
Setting this equal to 19,
x²+2x+1 - x² = 19
Combining like terms,
2x+1=19
Subtract 1 from each side:
2x+1-1=19-1
2x=18
Divide both sides by 2:
2x/2 = 18/2
x = 9
The first number, x, is 9. This means the second number, x+1, is 9+1=10.
Answer:
1/512
Step-by-step explanation:
Let staring fraction = x
Half-life = 20 years ; this is the time taken for an element to decrease to half of its original size
Hence,
After 20 years - - - > x/2
After 40 years - - - - > x/2 ÷ 2 = x/2 * 1/2 = x /4
After 60 years - - - - > x/4 ÷ 2 = x/4 * 1/2 = x/8
After 80 years - - - - -> x/8 ÷ 2 = x/8 * 1/2 = x / 16
After 100 years - - - > x/16 * 1/2 = x/32
After 120 years - - - - > x/32 * 1/2 = x/64
After 140 years - - - - -> x / 64 * 1/2 = x / 128
After 160 years - - - - - > x / 128 * 1/2 = x/256
After 180 years - - - - > x/256 * 1/2 = x / 512
Hence, the fraction after 180 years = 1/512
Answer:
f(x)=4x^2
Step-by-step explanation:
I'm guessing the third function 4x squared. It curves up with the data points while all the other functions create straight lines.
