MATHEMATICS HIGH SCHOOL

Martha has widow's peak and attached earlobes. Martha's dad had a straight hairline and unattached earlobes. If Martha marries a man that is heterozygous for both traits, what is the probability that they will have a child with a widow's peak and attached earlobes?

Answers

Answer 1

Answer:

Answer:

the probability of having a widow peak and attached earlobe = 0.6667*0.66667 = 0.4445 = 44.5%

Step-by-step explanation:

Martha = widow's peak + attached earlobes.

Martha's dad = straight hairline + unattached earlobes.

Martha husband =straight hairline+ widow's peak + attached earlobes

what is the probability that Martha child will have a widow's peak + attached earlobes?

since,

Martha + Martha husband =straight hairline+ widow's peak + attached earlobes

the probability of the child having widow peak is 2/3 = 0.6667

the probability of the child having attached earlobes is 2/3 = 0.66667

the probability of having both = 0.6667*0.66667 = 0.4445

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Sam will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 57 and costs an additional 0.13 per mile driven. The second plan has an initial fee of 46 and costs an additional 0.15 per mile driven.For what amount of driving do the two plans cost the same?What is the cost when the two plans cost the same?
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Complete the function table and write the rule.
How many solutions are there to the equation below? 12x+6=5x

What is the coefficient of x^2y^3 in the expansion of (2x+y)^5

Answers

Answer:

Step-by-step explanation:

A P E X

We figure out the coefficient of x^2y^3 by figuring out the coefficients in both (x+y)^4 and (x+2y)^4.

Using the binomial theorem, the coefficient of x^2y^3 on the first expansion is

(4 choose 3)x^2y^3=6x^2y^3,

and the coefficient of x^2y^3 on the second expansion is

(4 choose 3)x^2(2y)^3=6x^2(4y^2)=24x^2y^3.

Thus, the coefficient in the sum of these two expansions is 6+24=30.

Are 2/3 and 5/6 equivalent ratios. Justify your answer

Answers

No because u would multiply to get a common denominator and it would be 4/6 5/6

Answer:

no they are not because 2/3 is equal to .6 and 5/6 is equal to .83

Step-by-step explanation:

Simplify sin(3x+13)=cos(4x)

Answers

Sin(3×+13)=sin(pi/2-4×)
3x+13 =pi/2 -4× or 3×+13 =pi-pi/2 + 4×
7× = pi/2 - 13 +k2pi or -× = pi/2 +k2pi
× = pi/14 - 13/7 k2pi/7 or X = -pi/2 + kpi

The length of a rectangular room is 7.9m and it's width is 8.6m. Find the area of the room.

Answers

Length x Width=Area
Multiply
8.6 x 7.9= 67.94cm^2

$Formula = Length * Width=Area$

$8.6 * 7.9= 67.94cm^2$

Sue deposited $3000 in a savings account earning 2% interest over 8 years. What was the total interest Sue earned?

Answers

Original Interest: I = Prt
I = (3000)(0.02)(8)
I = (60)(8)
I = 480

Simple Interest: A = P(1 + rt)
A = 3000(1 + (0.02)(8))
A = 3000(1 + 0.16)
A = 3000(1.16)
A = 3480

Compound Interest: $C = P((1 + r)^(n) - 1)$
$C = 3000(1 - 0.02)^(96) - 1)$
   $C = 3000((0.98)^(96) - 1)$
   $C = 3000(014 - 1)$
   $C = 3000(-0.86)$
   $C = -2580$

Payment Amount: $A = P(r(1 + r)^(n))/((1 + r)^(n) - 1)$
$A = 3000((0.02(1 + 0.02)^(96))/((1 + 0.02)^(96) - 1))$
$A = 3000((0.02(1.02)^(96))/((1.02)^(96) - 1))$
$A = 3000((0.02(6.7))/(6.7 - 1))$
$A = 3000((0.134)/(5.7))$
$A = 3000(0.024)$
$A = 72$

a test has 25 questions and is worth a total of 100 points. it consists of multiple choice that are worth 8 points each and short answer that are worth 3 points each. how many multiple choice are there on the test?

Answers

Answer:

Step-by-step explanation:

8*5=40 and then 20 short answer that are 3 each. that makes up the rest of the 60 points

Answer:

There would be 5 multiple choice questions

Step-by-step explanation:

5x8=40

20x3=60

25 questions for total of 100 points

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