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Thepotemich [5.8K]
3 years ago
12

In arguing against the death penalty, Amnesty International has pointed out supposed inequities, such as the many times a black

person has been given the death penalty by an all-white jury. If jurors are selected randomly from an adult population, find the probability that all 12 jurors are white when the population is (a) 90% white and (b) 50% white.
Mathematics
1 answer:
uysha [10]3 years ago
5 0

Answer:

(a) 0.2824

(b) 0.0002441

Step-by-step explanation:

Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:

P(w=12) = p(w)^{12}

Where p(w) is the proportion of the population that is white:

(a) for p = 0.90

P(w=12) = 0.90^{12}\\P(w=12) =0.2824

The probability is 0.2824.

(b) for p = 0.50

P(w=12) = 0.50^{12}\\P(w=12) =0.0002441

The probability is 0.0002441.

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Write an equation for a circle with a diameter that has endpoints at (7, –4) and (1, –10). Round to the nearest tenth if necessa
Black_prince [1.1K]

The standard form for the equation of a circle is :

 (x−h)^2+(y−k)^2=r2 ----------- EQ(1)
 where handk are the x and y coordinates of the center of the circle and r is the radius.
 The center of the circle is the midpoint of the diameter.

 So the midpoint of the diameter with endpoints at (7,-4)and(1,-10) is :

 ((7+(1))/2,(-4+(-10))/2)=(4,-7)

 So the point (4,-7) is the center of the circle.

  Now, use the distance formula to find the radius of the circle:

  r^2=(7−(4))^2+(-4−(-7))^2=9+9=18

 ⇒r=√18

 Subtituting h=4, k=-7 and r=√18 into EQ(1) gives :

 (x-4)^2+(y+7)^2=18

7 0
3 years ago
3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.
Diano4ka-milaya [45]

Answer:

x = 0, -4 and -3.

Step-by-step explanation:

The given expression is "3x to the power of 3 + 21x squared + 36x = 0".

We can write this expression as follows :

3x^3+21x^2+36x=0

Taking 3x common.

3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0

x = 3

x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.

5 0
3 years ago
One number is six more than the other number . thesum of their squares is 90
Andreyy89

Answer:

the answer is 3 and 9. 9 is 6 greater than 3 and 9 squared and 3 squared added up give you 90.

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