Answer:
For bbff we have only 6.3% probability
Step-by-step explanation:
If the parents are heterozygous for both traits, them they are represented by:
BbFf × BbFf
Parent 1: BbFf
Parent 2: BbFf
We have to find the percentage of occurence of bb × ff, which is a child that has blue eyes and no freckles, with no dominant factor.
By distributing the possibilities in a Punnett square, <em>vide</em> picture. We have the following possibilities:
Genotype Count Percent
bBfF 4 25
BBfF 2 12.5
bBFF 2 12.5
bBff 2 12.5
bbfF 2 12.5
BBFF 1 6.3
BBff 1 6.3
bbFF 1 6.3
bbff 1 6.3
For bbff we have only 6.3% probability
1. it is right-angled triangle because it has a 90 degree angle.
Answer: 4
36.87 degrees
Step-by-step explanation:
The figure shown is a right angled triangle. It has three sides, one of which is the longest. The longest side is called the hypotenuse. Either of the shorter sides is called the opposite and the adjacent side(always the side carrying both the 90 degrees angle and the given angle).
Since the triangle is a right angled triangle,
We can apply Pythagoras theorem to get the opposite side.
Hypothenuse ^2 = opposite ^2 + adjacent ^2
5^2 = 4 ^2 + opposite ^2
opposite = √ 25 - 16
opposite = √9 = 3
Let the angle be # degrees,
Cos # = adjacent / hypothenuse
= 4/5 = 0.8
# = cos^-1 (0.8) = 36.87 degrees
Answer:
d and e
Step-by-step explanation:
To factor 4x² + 17x - 15
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term, that is
product = 4 × - 15 = - 60 and sum = + 17
The factors are + 20 and - 3
Use these factors to split the middle term
4x² + 20x - 3x - 15 ( factor by grouping the first/second and third/fourth terms )
= 4x(x + 5) - 3(x + 5) ( take out the common factor (x + 5) )
= (x + 5)(4x - 3) → d/e
we will draw the graph according to the given constraints
NOTE: when we draw the graph from constraints inequalities becomes equalities just to draw the graph
Given constraints are:




Now we draw the graph of given constraints using graphing calculator. Please see the attachment for the graph. Shaded region is the feasible region