Answer:
P(A and B) = 1/4
Step-by-step explanation:
Since A and B are not linked. The event is said to be independent events:
Therefore;
P(A and B) = P(A) × P(B)
Where; P(A and B) is the probability that both A and B are in the same gamete.
P(A) = 1/2 => Probability of allele A in the gamete
P(B) = 1/2 => Probability of allele B in the gamete
Thus,
P(A and B) = P(A) × P(B) = (1/2) * (1/2) = 1/4 = 0.25.
Answer:
Step-by-step explanation:
Given
See attachment for table
Required
Determine the explicit formula for the table
First, we need to check if the guppies increases at arithmetic progression or geometry progression.
For arithmetic progression:
We calculate the common difference (d)
Take n as 1
From the table:
Take n as 2
From the table:
The two differences are not equal. So, this
For geometry progression:
We calculate the common ratio (r)
Take n as 1
From the table:
Take n as 2
From the table:
The two ratios are equal.
So, the next step is to calculate the explicit formula using n term of a geometric progression.
Because the progression starts from 0, we make use of the following formula
Substitute values for g(0) and r
Hence:
The explicit formula is:
Answer:
AB + BC = AC
BC = AC - AB
5x + 6 = 37 - (2 x + 3) = 37 -2 x - 3 = 34 - 2 x
7 x = 34 - 6 = 28
x = 4
BC = 5 x + 6 = 5 * 4 + 6 = 26
Check:
AB = 2 x + 3 = 2 * 4 + 3 = 11
AB + BC = 26 + 11 = 37
Answer:
(3x-4)(x-5)
Step-by-step explanation:
This is in the form
ax²+bx+c.
To factor this, we find factors of a·c that sum to b; this means factors of 3(20) = 60 that sum to -19:
60 = 1(60) or -1(-60); 2(30) or -2(-30); 3(20) or -3(-20); 4(15) or -4(-15); 5(12) or -5(-12); 6(10) or -6(-10). The only of these that sum to -19 are -4 and -15. This means we will split up -19x into -4x and -15x:
3x²-4x-15x+20
Next we group the first two terms and the last two terms:
(3x²-4x)+(-15x+20)
Factor out the GCF of each group. For the first group, this is x:
x(3x-4)
For the second group, this is -5:
-5(3x-4)
The common factor for these two groups is (3x-4):
(3x-4)(x-5)
Answer:
The equation is Linear
Step-by-step explanation:
