Complete question :
Six jurors are to be selected from a pool of 20 potential candidates to hear a civil case involving a lawsuit between two families. Unknown to the judge or any of the attorneys, 2 of the 20 prospective jurors are potentially prejudiced by being acquainted with one or more of the litigants. They will not disclose this during the jury selection process. If 6 jurors are selected at random from this group of 20, find the probability that the number of potentially prejudiced jurors among the 6 selected jurors is ;
a. exactly 1
b. none
c. at most 2
Answer:
0.442 ; 0.479 ; 1
Step-by-step explanation:
Given:.
Total number of candidates = 20
Number of jurors to be selected = 6
Number of prejudiced jurors = 2
Required outcome / Total possible outcomes :
Using the combination formula :
nCr = n! ÷ (n-r)!r!
1.)
P(number of prejudiced jurors is exactly 1) :
[2C1 * 18C5] ÷ 20C6
(2*8568)÷ 38760
= 0.442
B.)
P(None of the jurors is prejudiced) :
[2C0 * 18C6] ÷ 20C6
(1 * 18564) ÷ 38760
= 0.479
C.)
P(at most 2 of the jurors are prejudiced)
P(x =0) + p(x = 1) + p(x = 2)
P(x = 2) :
[2C2 * 18C4] ÷ 20C6
(1 * 3060) ÷ 38760
= 0.079
P(x =0) + p(x = 1) + p(x = 2)
(0.479 + 0.442 + 0.079)
= 1
Which statement is true?
0 3<-3
0 -333
-13 > -10
-10 > -13
I need help
Answer:
3<-3 FALSE
0>-333 True
-13>-10 false
-10>-13 true
Answer:
-10 > -13
Step-by-step explanation:
On a number line (I wanna see if this works lol)
|___|___|___|___|___|___|
-15 -14 -13 -12 -11 -10 -9
Describe the steps to solve using the Quadratic Formula:
Answer:
Put the equation into the form ax 2 + bx = – c.
Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).
Using the value of b from this new equation, add. ...
Find the square root of both sides of the equation.
Solve the resulting equation.
find the solution to the system of equations? 4x-3y-z=3 , -3x+5y+z=9, x+2z=6
Answer:
is this the one?
Step-by-step exExplanation:
Adding third equation to first one,
7
x
+
5
y
+
z
+
x
−
6
y
−
z
=
0
−
18
or
8
x
−
y
=
−
18
.
(
1
)
Adding 2 times of third one to second one,
−
x
+
3
y
+
2
z
+
2
⋅
(
x
−
6
y
−
z
)
=
16
−
2
⋅
18
or
x
−
9
y
=
−
20
(
2
)
Substracting 8 times of
(
2
)
from
(
1
)
,
8
x
−
y
−
8
⋅
(
x
−
9
y
)
=
−
18
−
8
⋅
(
−
20
)
71
y
=
142
, so
y
=
2
Hence,
x
−
9
⋅
2
=
−
20
or
x
−
18
=
−
20
, so
x
=
−
2
Thus,
7
⋅
(
−
2
)
+
5
⋅
2
+
z
=
0
or
z
−
4
=
0
, so
z
=
4Explanation:
Adding third equation to first one,
7
x
+
5
y
+
z
+
x
−
6
y
−
z
=
0
−
18
or
8
x
−
y
=
−
18
.
(
1
)
Adding 2 times of third one to second one,
−
x
+
3
y
+
2
z
+
2
⋅
(
x
−
6
y
−
z
)
=
16
−
2
⋅
18
or
x
−
9
y
=
−
20
(
2
)
Substracting 8 times of
(
2
)
from
(
1
)
,
8
x
−
y
−
8
⋅
(
x
−
9
y
)
=
−
18
−
8
⋅
(
−
20
)
71
y
=
142
, so
y
=
2
Hence,
x
−
9
⋅
2
=
−
20
or
x
−
18
=
−
20
, so
x
=
−
2
Thus,
7
⋅
(
−
2
)
+
5
⋅
2
+
z
=
0
or
z
−
4
=
0
, so
z
=
4planation:
5 (x+9) = 3 (x +8) + 2x
Answer:
No solution
Step-by-step explanation:
Distribute
5x+45 = 3x+24+ 2x
Combine terms
45=5x-5x
45=0
This statement is not true so it is no solution
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 5% each year. One year after it was purchased, the value of the savings bond was $131.25. Find the value of the bond when Tyler's mom purchased it. The value of the bond when his mom purchased it was? Enter only the numeric value, no symbols or spaces. $
.
Answer:
125
Step-by-step explanation:
131.25 105
of 100
Cross multiply process
131.25x100=108x?
131.25x100=13125
13125=108?
13125/108=?
125=?
:)
Brainliest for correct answer
For A(1, 1), B(4, 5), and C(4, 1), find all locations of a fourth point, D, so that a parallelogram is formed using A, B, C, D in order as vertices.
Answer:
isn't it that a parallelogram has 6 sides and these are 4?????????............
Identify the type of solution from a graph.
Answer:
the answerrrr I believe is C
Hey could someone please help me with this really hard assignment is taking me forever. Thank you marking brainliest!
Answer:
Exercise 1: The length of the unknown leg is 4 inches.
Exercise 3: The following straws can be used to construct the triangle: b) [tex]3\,in[/tex], c) [tex]4.5\,in[/tex], d) [tex]6.5\,in[/tex], e) [tex]10\,in[/tex], f) [tex]13.5\,in[/tex]
Exercise 4: Possible options of this exercise: 1) (2, 4, 5), 2) (4, 5, 6), 3) (5, 6, 10), 4) (1, 2, 11), 5) (1, 4, 11), 6) (1, 10, 11)
Step-by-step explanation:
Exercise 1:
Let suppose that triangle represented in the figure is a right triangle, the length of the missing leg is determined by Pythagorean Theorem:
[tex]y = \sqrt{l^{2}-x^{2}}[/tex] (1)
Where:
[tex]l[/tex] - Hypotenuse, in inches.
[tex]x[/tex] - Known leg, in inches.
[tex]y[/tex] - Unknown leg, in inches.
If we know that [tex]l = 11\,in[/tex] and [tex]x = 10\,in[/tex], then the length of the unknown leg is:
[tex]y = \sqrt{21}[/tex]
Since 4 is the least whole number closest to [tex]\sqrt{21}[/tex], then we conclude that the length of the unknown leg is 4 inches.
Exercise 3:
The range of possible lengths for the missing side of the triangle is represented by the following simultaneous inequality:
[tex]x + y > l > x-y[/tex] (2)
Where:
[tex]x[/tex] - Greater side, in inches.
[tex]y[/tex] - Lesser side, in inches.
[tex]l[/tex] - Missing side, in inches.
If we know that [tex]x = 8\,in[/tex] and [tex]y = 6\,in[/tex], then we have the following range of missing sides:
[tex]14\,in > l > 2\,in[/tex]
The following straws can be used to construct the triangle: b) [tex]3\,in[/tex], c) [tex]4.5\,in[/tex], d) [tex]6.5\,in[/tex], e) [tex]10\,in[/tex], f) [tex]13.5\,in[/tex]
Exercise 4:
Let check each pair to determine possible constructions by means of the inequality used in Exercise 3:
(i) [tex]x = 4\,in, y = 2\,in[/tex]
[tex]6\,in>l>2\,in[/tex]
Possible choices: 5 inches.
(ii) [tex]x = 5\,in, y = 2\,in[/tex]
[tex]7\,in > l > 3\,in[/tex]
Possible choices: 4 inches, 6 inches.
(iii) [tex]x = 6\,in, y = 2\,in[/tex]
[tex]8\,in > l > 4\,in[/tex]
Possible choices: 5 inches, 6 inches.
(iv) [tex]x = 10\,in, y = 2\,in[/tex]
[tex]12\,in > l > 8\,in[/tex]
Possible choices: None.
(v) [tex]x = 5\,in, y = 4\,in[/tex]
[tex]9\,in > l > 1\,in[/tex]
Possible choices: 2 inches, 6 inches.
(vi) [tex]x = 6\,in, y = 4\,in[/tex]
[tex]10\,in > l > 2\,in[/tex]
Possible choices: 5 inches.
(vii) [tex]x = 10\,in, y = 4\,in[/tex]
[tex]14\,in > l > 6\,in[/tex]
Possible choices: None.
(viii) [tex]x = 6\,in, y = 5\,in[/tex]
[tex]11\,in > l > 1\,in[/tex]
Possible choices: 2 inches, 4 inches, 10 inches.
(ix) [tex]x = 10\,in, y = 5\,in[/tex]
[tex]15\,in > l > 5\,in[/tex]
Possible choices: 6 inches.
(x) [tex]x = 10\,in, y = 6\,in[/tex]
[tex]16\,in > l > 4\,in[/tex]
Possible choices: 5 inches.
Possible options of this exercise: 1) (2, 4, 5), 2) (4, 5, 6), 3) (5, 6, 10), 4) (1, 2, 11), 5) (1, 4, 11), 6) (1, 10, 11)
Answer: Give other user brainliest
Step-by-step explanation:
HELP I NEED HELP!! ASSIGNMENT DUE IN A FEW MINUTES. QUESTION IN PICTURE. WORTH 20 POINTS PLEASE HELP
Answer: the question is asking you to basically plot the point so you should plot the point by using desmos graphing calculator, and you should get the answer.
Step-by-step explanation:
This is the last math problem for today, I appreciate this app so much help me and Gn
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
14-8 is 6
Hope this answer helps
Andrew can jog 144 miles in 11 hours. Enter the number of miles he can jog in 1 hour.
Solomon is wrapping presents for his 7 teachers. The box is shaped like the figure below. How much wrapping paper will Solomon need to cover all 7 boxes?
is the answer 907.2? i just need confirmation <3
Answer:
He said " How much wrapping paper will Solomon need to cover all 7 boxes" so its probably 7-10 i think
Step-by-step explanation:
haha 900 is too much :) good try
5/8 ÷ 2/8 = ????????????????????????
The blue figure is a dilation image of the black figure. The origin is the center of dilation. Tell whether the dilation is an enlargement or a reduction. Then find the scale factor of the dilation.
Answer: Reduction, 1/5
Because the image is smaller than the pre-image, it would be a reduction. Then you would count the length of one side of the Images. The length of the pre-image is 20 and the new image is 4. Then you would make a ratio of the new image to the pre-image which is 4/20, which simplifies to 1/5.
Hope this helps!
The scale factor of the dilation will be 1/4.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The blue figure is a dilation image of the black figure.
And, The origin is the center of dilation.
Now,
Since, The blue figure is a dilation image of the black figure.
And, The origin is the center of dilation.
Here, The length of black figure = 16 units
And, The length of blue figure = 4 units
So, The scale factor of the dilation = 4/16
= 1/4
Learn more about the divide visit:
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Does anyone know what is going on with this website? So many hackers, trolls, and people giving non answers to the questions asked! It didn't used to be this way. :(
Answer:
Lots of people are just answering to get free points now, they're not actually giving answers.
(and sorry if you miss the way it used to be).
10) y=-3x
-6x - 2y = -8
Help guys
Answer:
y=−9x and y=−4
Step-by-step explanation:
any luck with this question ??
Answer:
B you just multiply the exponents in (w^8)^8
Expand (Explain your work)
(3p - 2)^2
Answer:
9p^2-12p+4
Step-by-step explanation:
Apply perfect square formula;
a=3p , b=2
Apply perfect square formula;
(3p)^2-2*3p*2+2^2
Simplify:
=9p^2-12p+4
The rectangle below represents the base of a rectangular prism.
The height of the rectangular prism is 12 centimeters. What is the volume of the rectangular prism?
1. 120cm3
2. 20cm3
3. 32cm3
4. 240cm3
Answer:
its 2. 20cm³ or 3. 32cm³
Step-by-step explanation:
I'm dont know if im right because the picture is asking for something different then the question
I’ll give brainliest
A circle has a circumference of 9π m.
What is the area of this circle?
Answer:
20.25 m²
Step-by-step explanation:
hope this helps
Please help!
Passes through (-6, -1) and parallel to. x - y = 4
what is the equation of the line?
Answer:
y = x + 5
Step-by-step explanation:
1) First, find the slope of the line [tex]x-y = 4[/tex]. We can do this by setting it up in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. Whatever [tex]m[/tex] or the coefficient of the x-term is will be the slope. Isolate y in the equation:
[tex]x-y = 4\\-y = -x+4\\y = x -4[/tex]
So, the slope of the given equation is 1. Parallel lines share the same slope, thus the slope of the new line will be 1 as well.
2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] is the slope, substitute 1 for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line passes through, substitute the x and y values of (-6, -1) into those places as well. Then, isolate y in the resulting equation to put the equation in slope-intercept form and find the answer:
[tex]y-(-1) = 1 (x-(-6))\\y + 1 = 1 (x + 6)\\y + 1 = x + 6\\y = x + 5[/tex]
Please hurry I'm being timed....
Answer: [tex]2\sqrt{34[/tex]
Step-by-step explanation: The answer simplified is 2 radical 34
The radius of a salad bowl is 8.9 inches. What is the surface area of the bowl? (Assume the bowl is half a sphere and use 3.14 for ).
a. 3979.51 in2
b. 994.88 in2
c. 497.44 in2
d. 52.92 in2
Answer:
994.88 in2
Step-by-step explanation:
Use the surface area formula SA = 4(pi)(r2) which results in SA = 4(3.14)((8.9)2) = 994.88 square inches. Because the bowl represents half a sphere, it is necessary to divide that answer by 2 to get the surface of the bowl.
If radius of a salad bowl is 8.9 inches then the surface area of the bowl is 497.44 square inches, option c is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that radius of a salad bowl is 8.9 inches.
We have to find the surface area of the bowl
The surface area of a half-sphere is given by the formula:
SA = 2πr²
where r is the radius of the sphere.
In this case, the radius of the salad bowl is 8.9 inches.
Substituting this value into the formula, we get:
SA = 2 x 3.14 x (8.9)²
SA = 497.44 square inches
Surface area =497.44 square inches
Hence, if radius of a salad bowl is 8.9 inches then the surface area of the bowl is 497.44 square inches, option c is correct.
To learn more on Three dimensional figure click:
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find the length of the missing side
Answer:
x = 11.1
Its a right angle triangle with the values of its adjacent and hypotenuse given so cos is used.
class 9
if (x+1) is a factor of x³+2x²-5x-6, then factorise it.
please give me the answer fast...
9514 1404 393
Answer:
(x +3)(x +1)(x -2)
Step-by-step explanation:
A graphing calculator is a good tool for finding factors fast. Each zero (p) gives rise to a factor (x -p).
The graph shows zeros at -3, -1, and 2, so your factorization is ...
(x +3)(x +1)(x -2)
A monkey weighs 8.2 kilograms. How many grams does the monkey weigh? Use the number of zeros of the product when multiplying a number by a power of 10 to help you. (2 points)
A. 8,200 grams
B. 820 grams
C. 82,000 grams
D. 82 grams
Answer:
8,200= A)
Step-by-step explanation:
I need help thank you
Answer:
Select All
Step-by-step explanation:
they all are correct
La máquina de una fábrica de tornillos produce el 63% de la producción diaria mientras que la máquina b produce el 27% la máquina tiene una probabilidad del 1.5% de producir tornillos defectuosos la máquina b produce con 3% de defectuosos
a) ¿cuál es la probabilidad de que al tomar un tornillo de la producción total y éste sea defectuoso?
b) ¿cuál es la probabilidad de que al tomar al azar un tornillo defectuoso éste haya sido producido por la máquina b?
Find the area of the polygon. Note that the figure is not drawn to scale.
Need an answer ASAP! If possible, I will give Brainliest.
Answer:
66
Step-by-step explanation: