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The probability that a boy is born with Down's syndrome is p, 0

Answers

Answer 1

Answer:

Answer:

The probability that a baby born with Down's syndrome is a boy is $(p)/(p+q)$ .

Step-by-step explanation:

The probability of a baby born being a boy (B) or a girl (G) is same, i.e.

P (B) = P (G) = 0.50.

The probability of a boy is born with Down's syndrome is, P (D|B) = p.

The probability of a girl is born with Down's syndrome is, P (D|G) = q.

The law of total probability states that:

$P(X)=P(X|Y)P(Y)+P(X|Z)P(Z)$

Use this law to compute the probability of a baby born with Down's syndrome as follows:

$P(D)=P(D|B)P(B)+P(D|G)P(G)\n=(p*0.50)+(q*0.50)\n=0.50(p+q)$

The conditional probability of an event X given that another event Y has already occurred is:

$P(X|Y)=(P(Y|X)P(X))/(P(Y))$

Compute the probability that a baby born with Down's syndrome is a boy as follows:

$P(B|D)=(P(D|B)P(B))/(P(D)) =(p*0.50)/(0.50(p+q)) =(p)/(p+q)$

Thus, the probability that a baby born with Down's syndrome is a boy is $(p)/(p+q)$ .

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PLS HELP I NEED AN ANSWER

Answers

Answer:

Step-by-step explanation:

None of the other answers make sense, so just by process of elimination it should be B.

Good luck on your assignment!

Helen is building a rectangular garden in her backyard and she wants to have a fence around it.The perimeter of her garden is 20 yards. She is buying wood fence panels that cost $2 per foot. How many feet of fence panels does she need

Answers

Based on the calculations, Helen needs to buy 60 feet of fence panels for her rectangular garden in the backyard

How many feet of fence panels does she need

From the question, we have the following parameters that can be used in our computation:

The perimeter of her garden is 20 yards.
She is buying wood fence panels that cost $2 per foot

This means that

Perimeter = 20 yards

By metrric unit of conversion, we have

1 yard = 3 feet

So, we have

Perimeter = 20 * 3 feet

Evaluate

Perimeter = 60 feet

Hence, she needs to buy 60 feet of fence panels

Answers

$\text{Solve for y:}\n\n2y+2=(3y)/(2)\n\n\text{Multiply both sides by 2 to cancel the denominator}\n\n4y+4=3y\n\n\text{Subtract 3y from both sides}\n\ny+4=0\n\n\text{Subtract 4 from both sides}\n\n\boxed{y=-4}$

Answer:-4

Step-by-step explanation:

2y+2=3y/2

Cross multiply

2(2y+2)=3y

Open bracket

4y+4=3y

Collect like terms

4y-3y=-4

y=-4

What is the best approximation for the perimeter of polygon ABCDE?

Answers

Solution

- The coordinates of the points read from the graph given are:

A=(-2,3)

B=(0,6)

C=(5,4)

D=(3,-1)

E=(-1,-2)

- To find the perimeter, we can use the distance between two points formula to find the lengths of each side of the polygon after which we add them up.

- Thus, we have:

$\begin{gathered} D=√((y_2-y_1)^2+(x_2-x_1)^2)\text{ \lparen Distance between two points\rparen} \n \n AB=√((6-3)^2+(0--2)^2) \n AB=√(9+4)=√(13) \n \n BC=√((6-4)^2+(0-5)^2) \n BC=√(4+25)=√(29) \n \n CD=√((4--1)^2+(5-3)^2) \n CD=√(25+4)=√(29) \n \n DE=√((-2--1)^2+(-1-3)^2) \n DE=√(1+16)=√(17) \n \n AE=√((3--2)^2+(-2--1)^2) \n AE=√(25+1)=√(26) \end{gathered}$

- Thus, the Perimeter is

$\begin{gathered} P=AB+BC+CD+DE+AE \n P=√(13)+√(29)+√(29)+√(17)+√(26) \n P=23.598006...\approx24units \end{gathered}$

- Thus the best approximation is 24.3 units (OPTION B)

Which function is a quadratic function?P(x)=2x(×^2+6)+1
M(x)=-4(x+3)-2
t(x)=-8x^2(x^2-6+1
H(x)=3x(x-2)-4

Answers

The correct answer is: [D]: " H(x) = 3x(x - 2) - 4 " .
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Note: A "quadratic function" takes the form of:
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f(x) = ax² + bx + c ;
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Answer choice: [D]: " H(x) = 3x(x - 2) - 4 " ;

takes this form:
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" H(x) = 3x(x - 2) - 4 " ;

→ " 3x(x - 2) - 4 " ;

Note the "distributive property" of multiplication:
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a(b + c) = ab + ac ; AND

a(b - c) = ab - ac ;
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→ As such;

" 3x(x - 2) = (3x * x) - (3x * 2) = 3x² - 6x;

So, we can rewrite the expression:

→ " 3x(x - 2) - 4 " ;

as: → " 3x² - 6x - 4 ;

And the entire function as:

H(x) = 3x(x - 2) - 4 ;

as:

H(x) = 3x² - 6x - 4 ;

Which takes the form of a "quadratic function" ;

→ f(x) = ax² + bx + c ;

in which: a = 3 ; b = - 6 ; c = - 4 .
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Algebra 2. pls help:(

Answers

the correct answer is C

The correct one is C because you want to add the imaginary numbers together to simplify the equation. 6i+5/2i=17/2i. Then you add that to your real number. 17/2i+2/3

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Is the answer a, b, c, or d.

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