A plant can either have a smooth seed (p) or a rough seed (q). Rough seeds are recessive and smooth seeds are dominant. In a population of 100 plants, 32 of them have rough seeds.p^2 + 2pq + q^2 = 1

a) What is q^2?

b) What is q?

c) What is p?

d) If there are 19 plants with rough seeds in a population of 100, what is the allele frequency for smooth seeds?

Answers

Answer 1
Answer: To calculate this, the Hardy-Weinberg principle can be used:

p² + 2pq + q² = 1 and p + q = 1

where p and q are the frequencies of the alleles (p - dominant, q - recessive), and p², q² and 2pq are the frequencies of the genotypes.

a) Since 32 plants have rough seed (recessive genotype: q²) out of 100 plants in total, then 

q² = 32/100 = 0.32


b) q = √q² = √0.32 = 0.56


c) Since p + q = 1, then

p = 1 - q = 1 - 0.56 = 0.44


d) 19 plants with rough seeds (recessive genotype: q²) in a population of 100 means that q² = 19/100 = 0.19

We need to calculate p (the allele frequency for smooth seeds).
We can find q because we know q²:

q = √q² = √0.19 = 0.44

Since p + q = 1, then

p = 1 - q = 1 - 0.4 = 0.56

Answer 2
Answer:

I followed what the other user said and I think it's correct!

a) 0.32

b) 0.56

c) 0.44

d) 0.56


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Please help me!!! ASAP!!1. what is the solution of the matrix equation ?
[9 4] x= [-9 -6]
[2 1] [-1 -8]

A. [5 -26]
[9 -60]

B. [-5 26]
[-1 -8]

C. [-5 26]
[9 -60]

D. [9 26]
[9 1]


solve the system
{ 2x +y - 4z = -30
{ 3x + 2y +2z =-8
{5x + 5y + z = -26

A. (-30,-8,-26)
B.(4,-2,4)
C. (-4,-2,4)
D.(-4,2,-4)

Answers

C= \left[\begin{array}{ccc}-5&26&\n9&-60\end{array}\right]
Find the determinant;

9*1- 2*4= 1

Inverse of the matrix;
1(
\left[\begin{array}{ccc}1&-4\n-2&9\end{array}\right]

Pre-multiplying the matrix by the inverse on both the left hand side and the right hand side gives the answer above.

What is the maximum of the sinusoidal function?


Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

Given is a graph with more than 2 periods shown. The wave represents that it is the sine function.

From the graph we find that the graph gets its maximum at y=-2 and minimum at y =-6

Hence range =[-6,-2]

Amplitude = 2

There is no x intercept but y intercept =-4

Hence the possible equation would be

y = 2sin(bx+k)-4

for some real b and k

Since sine max value is 1, we have

Maximum value is 2-4 =-2

Hello from MrBillDoesMath!

Answer:

y = -2



Discussion:

From the graph the maximum value or "highest point" on the function  appears to be

y = -2

Thank you,

MrB

Write the expression as a complex number in standard form. 20 + (-23 -8i) +7i Here are the answers that are an option

3 + 7i


-3 - i


-3 - 15i


3 + 15i

Answers

20 + (-23 -8i) +7i =-3-i
20+(-23-8i)+7i=20-23-8i+7i=-3-iso B option is correct: -3-i

Im thinking of a number , multiply it by 4 and add 5 to the product, you get 41. Find the numbera) 9
b) 10
c) 11
d) 12

Answers

A

I hope this helps:D

Answer:

Answer is a) 9

Step-by-step explanation:

9 x 4 = 36

36 + 5 =41

Hope this help (。・ω・。)

Edit:

or you can use this method

41 - 5 = 36

36 divides by 4, then you will get 9

The phone you want to purchase is $200. You have a coupon for 30% off the purchase price. How much will you pay for the phone after the discount?

Answers

Answer:

$140

Step-by-step explanation:

Orignal Price: $200

200 x 0.3

= 60

200 - 60

= 140

Answer:the phone will cost 140

Step-by-step explanation:

What's the answer to: divide £48 in the ratio 7:5 (please show your working, much appreciated)

Answers

I can see you come from outside the USA. No insults intended!!
.
Anyways, we have to put one side of the ratio and match it to 48. 
.
Or even better...
.
MAKE!!
A!!
PROPORTION!!
.
So... Let's say 7 is proportional to 48... so 7/5 = 48/x, where x is the number equivalent to ratio of 5.
.
Cross multiply!!
.
7x = 240.
.
Divide 7 on both sides.
.
x = 34 2/7.
.
Hope I helped!!