Answer:
The answer would be 1/6
The probability that both jurors selected are female is 1/6.
GivenFor a criminal trial, 8 active and 4 alternate jurors are selected.
Two of the alternate jurors are male and two are female.
During the trial, two of the active jurors are dismissed.
The judge decides to randomly select two replacement jurors from the 4 available alternates.
Total numbers of selected candidates is;
8 + 4 = 12
The judge decides to randomly select two replacement jurors from the 4 available alternates.
Therefore,
The probability that both jurors selected are female is;
[tex]= \dfrac{2}{12}\\\\= \dfrac{1}{6}[/tex]
Hence, the probability that both jurors selected are female is 1/6.
To know more about Probability click the link given below.
https://brainly.com/question/21145990
What is the next number in the pattern below? 3, 5, 9, 15, 23, ___ A. 31 B. 33 C. 35 D. 37
Answer:
33. numbers are being increased by a certain number, that number being increased by 2 every time
Step-by-step explanation:
Which of the following is equivalent to (x+4)(3x^2+2x)?
Answer:
C
Step-by-step explanation:
When expanding brackets, we distribute the left terms inside the right side brackets.
(x+4)(3x^2+2x)
(x + 4)(3x²) + (x + 4)(2x)
The reason why it is + (x + 4) is because the x has a positive sign.
Write an equation for each translation of y
|x1.
2.5 units left
Answer:
Step-by-step explanation:
the translation of y = |x| 2.5 units to the left is:
y = |x+2.5|
Graph the solution to this inequality on the number line.
0.3(x − 4) > -0.3
Answer:
Please refer to the attached image in the answer area.
Step-by-step explanation:
The given inequality is:
[tex]0.3(x -4) > -0.3[/tex]
To find:
The graph of inequality on the number line.
Solution:
First of all, let us simplify the inequality.
[tex]0.3(x -4) > -0.3[/tex]
Dividing it with 0.3 on the both sides:
[tex]x -4 > -1\\\text{Adding 4 on both sides}\\\Rightarrow x > 3[/tex]
i.e. all the values x > 3 will be our solution. There is no equal sign in the inequality so 3 will not be included in the solution.
Please refer to the attached image for the solution graph of the given inequality.
3 has an empty circle drawn over it which signifies that 3 is not included in the solution set.
Red line shows that all the values greater than 3 are included in the solution.
An interval estimate for the weight of a species of primates is (12, 15) kg. Find the point estimate for the species
of primates.
Answer:
12 + 15= 27/2 = 13.5 kg
Step-by-step explanation:
PLEASE HELP !!!! On the grid provided, draw a nonsymmetric four sided figure in Quadrant II labeled ABCD. The vertices on the figure should be integer ordered pairs. Your figure must be translated, reflected, and rotated (the order of these is your choice), your transformations must take you to Quadrant I, Quadrant III, and Quadrant IV but the final figure must end up in Quadrant I. After the first transformation, label the figure A׳B׳C׳D׳. After the second transformation, label the figure״A״B״C״D״. After the third transformation, label the figure A׳׳׳B׳׳׳C׳׳׳D׳׳׳
Answer:
The transformations included are
1) Reflection about the y-axis
2) 90° clockwise rotation
3) Reflection about the y-axis
4) Translation T(0, 21)
5) Translation T(14, 0)
Step-by-step explanation:
Reflecting a pre-image about the y-axis gives;
Point (x, y) becomes (-x, y)
Rotation 90° clockwise gives (x, y) becomes (-y, x)
Translating (x, y) by T(0, 21) gives (x, y + 21)
Translating (x, y) by T(14, 0) gives (x + 14, y).
The screen capture of the coordinates from the original solution that was having issue posting after answering is attached along side the figure chart
Question 4 Multiple Choice Worth 2 points
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
XY
3
4
5
67
89
O Initial value: 1, rate of change: 2
O Initial value: 1, rate of change: 1
O Initial value: 2, rate of change: 2
O Initial value: 3, rate of change: 2
action
It is predicted that garden gnome value will go up by 2% each year, forming a geometric progression. Jean-Claude has a garden gnome currently valued at £80,000. If the rate of inflation is correct:
a) What will Jean-Claude's gnome be worth after 1 year?
b) What is the common ratio of the geometric progression?
c) What will Jean-Claude's gnome be worth after 10 years?
d) It will take k years for the value of Jean-Claude's gnome to exceed £120,000. Find k.
Answer:
Step-by-step explanation:
a ) The worth of Jean-Claude's gnome after 1 year
= 80000 x 1.02
= £81600
b ) common ratio of geometric progression
= 81600 / 80000
= 1.02
c ) worth after 10 years
= 80000 x 1.02¹⁰
= 80000 x 1.21899
= £97519.55
d )
120000 = 80000 x [tex]1.02^k[/tex]
1.5 = [tex]1.02^k[/tex]
ln1.5 = k ln 1.02
k = ln 1.5 / ln 1.02
= .4054 / .0198
= 20.47 years .
The graph of F(x), shown below, has the same shape as the graph of G(x)=x^4, but it’s shifted 3 units to the left. What’s its equation?
Which of the following are the correct properties of a slope? Check all that apply. A. A negative slope means that the line moves down from left to right. B. The slope of a flat line should be exactly 0. C. The slope of a flat line is smaller than the slope of a steep line with a positive slope. D. The slope of a flat line is undefined. E. A negative slope means that the line moves up from left to right.
Answer:A and D
Step-by-step explanation: I am smart trust me :)
Answer:
a. b. c.
Step-by-step explanation:
ap3x
FIND THE PERIMETER OF A RECTANGLE WITH LENGTH 7CM AND BREADTH 4CM.
Answer:
22cm
Step-by-step explanation:
7+7 =14
4+4= 8
14+8=22
Answer:
[tex]\boxed{Perimeter = 22 cm}[/tex]
Step-by-step explanation:
[tex]Perimeter = 2(Length) + 2(Breadth)[/tex]
Where length = 7 cm, Breadth = 4 cm
Perimeter = 2(7) + 2(4)
=> Perimeter = 14+8
=> Perimeter = 22 cm
Identify the slope and y-intercept of each of the following. Please help ^^^^ a. y = x + 100 b. y = 2x - 5 c. y = 0.5x
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
All 3 equations are in this form
(a)
y = x + 100
with slope m = 1 and y- intercept c = 100
(b)
y = 2x - 5
with slope m = 2 and y- intercept = - 5
(c)
y = 0.5x ( or y = 0.5x + 0 )
with slope m = 0.5 and y- intercept c = 0
Which of the following steps would you preform to the system of equations below so that the equations have opposite y-coefficients? 4x+2y=4 12x-y=26
Answer:
FIRST. Multiply both sides of the bottom equation by 2
Step-by-step explanation:
12x - y = 26
×2 ×2
24x - 2y = 52
-2 is opposite to 2
A two-tailed test is one where: A. negative sample means lead to rejection of the null hypothesis B. results in either of two directions can lead to rejection of the null hypothesis C. results in only one direction can lead to rejection of the null hypothesis D. no results lead to the rejection of the null hypothesis
Answer:
Step-by-step explanation:
In a two tailed test, the alternative hypothesis contains the "unequal to" symbol. It is used when we are testing for a difference. This means that the test is regardless of direction. Therefore, the left tail and the right tail of the curve is considered when making decisions. This simply means that there are two critical regions for the test. Therefore, a two-tailed test is one where:
B. results in either of two directions can lead to rejection of the null hypothesis
at the end of the football season
Answer:
WHAT?
Step-by-step explanation:
VGTFTUNJMKL
Answer:
Fat monkey
Step-by-step explanation:
What ?
10. Five companies employed 2340, 3455, 675, 960 and 1350 workers. The first company
laid off 1 worker for every 5 workers, while the other three recruited 2 new workers for
every 3
THIS IS THE COMPLETE QUESTION
Five companies employed 2340, 3455, 675, 960 and 1350 workers. The first company laid off 1 worker for every 5 workers, while the other three recruited 2 new workers for every 3. a) What was the total number of workers at the beginning c) How many people: i) Lost job ii) Got job d) What was the total number of workers finally
Answer:
a) 8780
ci) 1159
cii) 1990
d) 9611
Step-by-step explanation:
a) What was the total number of workers at the beginning?
The Total number of workers at the beginning can be calculated by adding the number of workers which are
= 2340 + 3455 + 675 + 960 + 1350
= 8780
c) How many people: i) Lost job
TO calculate the number that lost their job, we know that the first company laid off 1 worker for every 5 workers,
But the employed workers were 2340 and 1 worker laid for every 5 workers. Hence we can say that
2340/5 = 468
Therefore, 468 lost job in the first company.
To calculate for the second company,
from the question we know that Workers employed were 3455 and 1 worker laid for every 5 workers. Then we can say that
3455 / 5 = 691
Therefore, 468 lost job in second company.
After getting the number that lost their job in the two companies we can now say that the total workers that lost job:
=468 + 691 = 1159
ii) To calculate the number that Got job
We know that other three companies recruited 2 new workers for every 3, then the number of people who got job in these three companies can be calculated as;
= [(675 * 2 )+ (960 *2) + (1350 *2) ]/ 3
= (1350 + 1920 + 2700) / 3
= 5970 / 3
= 1990
Therefore, we have 1990 people that got the job.
d) the total number of workers finally can be calculated by summing up the the workers who got job in the workers at beginning then minus the number ofworkers who lost job ,
We know that the Total number of workers:
8780 number of workers at the beginning
1159 is for companies who lost job
1990 is for companies who got job
total number of workers finally:
= (8780 )+ (1990) -( 1159)
= 9611
Therefore, the total number of workers finally are 9611.
#1. The area of a square tile is 53.4cm^2. find the length of one side of the tile, rounded to the nearest 10th.
#2 which RADICAL is not a perfect square
a)5.29
b)13.69
c)1.3
d)0.09
#3 A walkway is been constructed using square cement tiles that each have an area of 15.5ft^2. Six tiles will be lined up end to end to construct a walkway. What is the total length of the walkway? Round your answer to the nearest 10th of a foot.
PLEASE ANSWER ASAP
all of them or even one would help please please
Problem 1
Answer: 7.3Explanation: Apply the square root to the area to get the side length. This only applies to areas that are squares (hence the name).
==================================================
Problem 2
Answer: C) 1.3Explanation: Use your calculator to find that choices A,B,D plugged into the square root function yield terminating decimal values. "Terminating" means "stop". This implies that they are perfect squares (though not perfect squares in the sense of whole number perfect squares which you may be used to). Choice C is the only value that has a square root that leads to a non-terminating decimal. The digits of this decimal go on forever without any pattern. The value is irrational.
sqrt(5.29) = 2.3 terminating decimalsqrt(13.69) = 3.7 terminating decimalsqrt(1.3) = 1.140175425 keeps going forever without any patternsqrt(0.09) = 0.3 terminating decimal==================================================
Problem 3
Answer: 23.6 feet approximatelyExplanation: Apply the square root to 15.5 to get roughly 3.937; this is the approximate side length of one square. Six of these tiles placed together will lead to a total length of roughly 6*3.937 = 23.622 which rounds to 23.6 feet. Like with problem 1, the square root being used like this only works for square areas.
3/5 times by 210 equals
Answer:
it equals 315
Step-by-step explanation:
what is the sum of all possible multiples of 5 less than 500
Answer:
We need to find 5 + 10 + 15 + ... + 485 + 490 + 495. There are 99 numbers that are being added. To add this we can do 5 + 495, 10 + 490, 15 + 485 and so on. These pairs have a sum of 500 and since there are 98 / 2 = 49 pairs their sum is 500 * 49 = 24500. Since there is an odd number of numbers that are being added, there is one number that does not belong to a pair. That number is the 50th number in the list which is 50 * 5 = 250. Therefore the answer is 24500 + 250 = 24750.
The number name of 70080067
In Indian System
Answer:
Seven crore eighty thousands sixty-seven.
Step-by-step explanation:
70080067
Seven crore eighty thousands sixty-seven.
The graph of F(x),shown below,has the same shape as the graph of G(x)=x^4, but it is shifted 2 units to the right. What is it’s equation?
F(x) =____
Hey there! :)
Answer:
A. [tex]f(x) = (x - 2)^{4}[/tex]
Step-by-step explanation:
Recall that the transformation form of a polynomial with degree four is:
[tex]f(x) =[/tex] ±[tex]a(b(x-h))^{4} +k[/tex]
In this instance, we will need to use the h value, or the horizontal shift.
It is given that there is only a horizontal shift of 2 units to the right, or h = 2. Plug this into the equation:
[tex]f(x) = (x - 2)^{4}[/tex]
Simplify the variable expression by evaluating its numerical part and enter your answer below. j + 16 - 148 + 4
Answer:
j - 128.
Step-by-step explanation:
j + 16 - 148 + 4 = j - 132 + 4 = j - 128
Hope this helps!
Which of the following is the graph of the quadratic function? y=x^2+4-12
Answer:
Graph B
Step-by-step explanation:
The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis
Now the first thing we will do here is to solve the quadratic equation graph;
x^2 + 4x -12 = 0
x^2 +6x - 2x -12 = 0
x (x + 6) -2(x + 6) = 0
(x-2)(x + 6) = 0
x = 2 or -6
So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation
Graph B is the closest to what we have as answer
PLEASE HELP!! will give brainliest!!
Answer:
Reason 2 : Vertical opposite angles.
Reason 3 : Vertical opposite angles.
Reason 4 : Using statement 1 and 3.
Reason 5 : Using statement 1 and 2.
Reason 6 : AA property of similarity.
Step-by-step explanation:
Statement 1 : and .
Reason 1 : Given
Statement 2 :
Reason 2 : Vertical opposite angles.
Statement 3 : [tex]\angle GEF\cong \angle DEC[/tex]
Reason 3 : Vertical opposite angles.
Statement 4 : [tex]\angle ABC\cong \angle GEF[/tex]
Reason 4 : Using statement 1 and 3.
Statement 5 : [tex]\angle ACB\cong \angle GFE[/tex]
Reason 5 : Using statement 1 and 2.
Statement 6 : [tex]\triangle ABC\cong \triangle GEF[/tex]
Reason 6 : AA property of similarity.
Hence proved.
Help ASAP!!
Areas of Regular Polygons
Acellus
Find the area of the regular polygon.
Round to the nearest tenth.
Vyd
[? ] yd2
Answer: 98 yards
Step-by-step explanation:
In order to find the area of a square by the diagonal, all you need to do is square the length of the diagonal and then divide by 2. 7 is half of the length, so the full length is 14. 14 squared is 196. 196 divided by 2 is 98, which is your answer.
Can someone help me with this question please?
Answer:
In the Business class section not flying for first time is 13
Business class and flying first time is 7
Not in Business class and flying first time is 49
98 that are not first time or business class
Probability is 20/167. I hope this is right and helps!
SOMEONE PLEASE HELP ME THIS IS CONFUSING PLEASEE
An ISOSCELES right triangle has a hypotenuse of x√6 units what is the area of the triangle?
Answer:
x^2/2
Step-by-step explanation:
Alright, lets go.
Isosceles right triangle means a 45-45-90 triangle.
In a 45-45-90 triangle, the hypotenuse is [tex]\sqrt{2}[/tex] times the leg.
Therefore, the length of the leg is x√3.
The area of a triangle is b(h)/2
In a 45-45-90 right triangle, the area is equal to the length of a leg squared/2
A leg = x√3. (x√3)^2 = 3x^2
The area of the triangle is 3x^2/2
Using (x + a) (x + b) = x² + (a + b) x + ab, evaluate 75 x 77
(x + a) (x + b) = x² + (a + b) x + ab
75 * 77=
=(70+5)(70+7)
=70²+(5+7)*70+5*7
=4900+12*70+35
=4900+840+35
=5775
please help i will give out brainliest
answer on image attached. pls give brainliest :)
You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur. How many different routes are possible?
Answer:
i think maybe 5 routs or 7
Step-by-step explanation:
there are diffrent ways to get to rides
There are total 120 possible routes available.
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the selection does not matter.
Given that, You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur.
Since, there are 5 five ride, so possible rides = 5!
= 5x4x3x2x1
= 120
Hence, There are total 120 possible routes available.
For more references on combinations, click;
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