QUESTION 8
Solve the problem that involves probabilities with events that are not mutually exclusive.
Consider a political discussion group consisting of 8 Democrats, 3 Republicans, and 7 Independents. Suppose that two
group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting
an Independent and then a Democrat.
14/81, 25/153, 7/306/ or 4/153?
Answers
Answer:
Option (2).
Step-by-step explanation:
Number of Democrats in a political discussion = 8
Number of Republicans = 3
Number of independents = 7
Total members in the discussion = (8 + 3 + 7)
= 18
Probability of selecting an independent = [tex]\frac{7}{18}[/tex]
Remaining members after selecting one independent = 17
Probability of selecting a Democrat = [tex]\frac{8}{17}[/tex]
Probability of selecting a Republican then a Democrat = [tex]\frac{7}{18}\times \frac{8}{17}[/tex]
= [tex]\frac{28}{153}[/tex]
Therefore, Option (2) will be the answer.
Related Questions
Will give brainliest! Which linear equation has a slope of -2 and a y-intercept of -3?
a
y = 3x + 2
b
y = 3x - 2
c
u = - 2x + 3
d
y = -2x - 3
Answers
Answer:
D. y = -2x - 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m is slope
b is y-intercept
Step 1: Define variables
m = -2
b = -3
Step 2: Substitute
y = -2x - 3
Answer:
D
y = -2x -3
Step-by-step explanation:
Hey there!
A linear equation starts with y.
y =
The slope is X (-2)
y = -2x
The y-intercept is -3
y = -2x - 3
~I hope I helped you! :)~
Can someone please help, ty!!
Answers
Answer:
32
Step-by-step explanation:
slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (32 - 14) / 0 - (-6)
= 18 / 6
= 3
y-intercept, use any point to determine b, let's use (2, 38) :
y = mx + b
38 = 3(2) + b
38 = 6 + b
b = 32
which fraction is equivalent to 0.36
Answers
Answer: 9/25, Percentage: 36%
5,395
- 2,697
How do you solve?
Answers
Answer:
2698
Step-by-step explanation:First you take 1000 from 5000 and then distribute it to 395
Answer:
you would subtract 2697 from 5395. you have it in the correct format. the answer would be 2,698.
Step-by-step explanation:
Nick earns 108$ for working 9 hours. Ian earns 77$ for working 7 hours. Ryan earns 92$ for working 8 hours and Justin earns 115$ for working for 10 hours. Who has the highest hourly wage?
(Not mine its my little sister's math test Imao)
Answers
Write an equation for the description.
A number x increased by 19 is 118.
Answers
Answer:
99
Step-by-step explanation:
99 + 19 = 118
Find the common difference of the arithmetic sequence 10,1,-8,...
Answers
Common difference = Second term - first term
Common difference = 1 - 10
Common difference = - 9
4/9 divided by 4 sorry need help
Answers
Answer:
Step-by-step explanation:4/9 /4= 1/9
What is a possible first step when multiplying 4/5 by 3
Answers
1.634 x 2
show your work for brainliest please!
Answers
x. 2
———
3.268
Answer: 3.268
Answer:
3.268
Step-by-step explanation:
line up the decimals. we know that since 2 is a whole number the decimal will be behind the 2 making it 1.634 x 2.000. you can waste paper multimplying by 0, 3 times. Instead add focus on the 2 and the other numbers.
1.634
x 2.000
2x4, 2x3, 2x6, and 2x1
be sure to carrying your numbers and you will get 3268 + 0 + 0 + 0. from here there are 2 numbers behind the decimal so move the decimal left 3 places
3268.0 = 3.268
hope this helps!
Rewrite the statement as an equation. $10
for each x plus $5 for each y equals $1500
Answers
Answer:
10x+5y=1500
Step-by-step explanation:
I don't know how to explain this but i think this is right.
What is the volume of the rectangular prism below?
2 cm
4 cm
4 cm
64 cm 3
20 cm 3
Answers
.....................
Answer:
32 cm 2
Step-by-step explanation:
volume of rectangular prism formula: lwh l=length (4) w=width (4) h=height (2) so 4*4 2=v; 32=v hope this helps have a great day! :D
Jayden wants to buy a sweater that costs 20 there is a coupon for 30% off if Jayden uses the coupon how much will the sweater cost?
Please help
Answers
Answer: $14.00
Steps: To find the percentage, Multiply original amount by the percentage (convert percent to decimal form).
So, 20 × .30 = 6
She gets $6.00 off the original price.
$20.00 - $6.00 = $14.00
Plz mark brainliest:)
Write the ratio:
10
to
68
as a fraction in lowest terms.
Answers
Answer:
5/34
Step-by-step explanation:
change 10:68 into 10/68, then divide by 2/2 to get 5/34.
ASAP PLS Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°.In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 20° more
than the measure of the second angle. What is the measure of each angle?
Answers
Answer:
80°, 40° and 60°
Step-by-step explanation:
Name the second angle X and the first angle to 2X (because it is twice the measure of angle number two) and the third angle to 20°+X (because it was 20° more than the second angle)
so we will have an equation of
180°=2x + x + (20°+x)
160°=4x
40°=x
so the second angle is 40° as it is represented by just one X
therefore the first angle which is twice the measure is 80° and the third angle which is 20° more is 60°. hope that helps!
PLEASEE HELP GIVING OUT BRAINLIEST
Answers
Answer:
0 < x + 7 < 5 = [-7,-2)
Step-by-step explanation:
Move all terms not containing x from the center section of the inequality.
7 < x < -2
convert the inequality to interval notation
[-7,-2)
Hope this helps.
Is (10^2)^-3 equivalent to (10^-2)^3
Answers
Answer:
Yes, they both become 1/1,000,000
Step-by-step explanation:
Juan needs to rent a car for his road trip to Savannah, GA. Juan asks his friends if he knows how much the car rental costs. Nadia says she paid $50 for a two-day car rental. Johanna says she paid $75 for a three-day rental, and Kristine paid $100 for a four-day rental.
Juan made the table below to help him visualize how much his car rental will cost.
Answers
Answer:
ok whats the question?
Step-by-step explanation:
i only see the explanation
On which number line do the points represent negative 4 and 1 over 2 and +3?
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 3rd tick mark to the left of 0. A point labeled T is placed between the 4th and the 5th tick marks to the right of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is between the 4th and 5th tick marks to the left of 0. A point labeled T is placed between the 2nd and 1st tick marks to the left of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 2nd and the 3rd tick mark to the right of 0. answer and u get brainliest
Answers
Answer:
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
Step-by-step explanation:
The points given are (-4.5,0) and (3,0), which means the points are on the x-axis. Point R (-4.5,0) will be located to the left of 0, the negative side of the number line between the 4th and 5th marks. Point T (3,0) will be located to the right of 0, the positive side of the number line at the 3rd mark.
The second answer is incorrect because point (-4.5,0) is not on the right side of 0 but on the left side.
The third answer is incorrect because point T(3,0) is place between 2 and first mark instead of the third mark.
The fourth answer is incorrect because R (-4.5,0) is placed on the first mark instead of between 4th and 5th mark.
Answer:
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
Point G(-3,2) is translated using the rule (x+10, y-6). What is the x-coordinate of G'? Enter your answer in the box.
Answers
Answer:
7 is the Anwser
Step-by-step explanation:
find the value ofx in the equation 3x+1=×+9.
Answers
Answer:
x = 4
Step-by-step explanation:
First, you subtract 1 from both sides, giving you 3x = x + 8
Then you subtract 1x from both sides, so 2x = 8
Divide the 2 from both sides which leaves you with the answer, x = 4
xanthe ran one quarter of a kilometer. She took a 5 minute rets, then ran another ten eighths of a kilometer. How many kilometers did she run in total.
Answers
Answer:
1 1/2 kilometers
Step-by-step explanation:
She ran 1/4 of a kilometer and then ran another 10/8 kilometer.
The 5 minute rest is to throw people off, so ignore it.
10/8 can simplify to 5/4 kilometers, so you can add that to the first quarter of a kilometer she already traveled.
5/4 plus 1/4 equals 6/4.
6/4 can be simplified to 3/2 which is equal to one and one half.
1 1/2
Hope this helps!
Ryan has 9 lollipops and 5 chocolate bars. What is the ratio of lollipops to chocolate bars?
Answers
Answer:
9:5
ratios are just putting the numbers next to each other with ':' in the middle
Step-by-step explanation:
Types of Data
Numbers
Yes/No
Longer response
What is the campus like?Is there on-campus housing?Is financial aid available?Are engineering scholarships offered?What majors are available?How much is the tuition?How many students are enrolled?What is the average class size?What percentage of those who apply are accepted?What dining options are offered on campus?
Answers
jfjkejkiydtmhfsngdjfs
Which is JK = C solved for K?
Answers
Answer:
k=c/j
Step-by-step explanation:
Which interval notation represents the set of all numbers greater than 0 and less than or equal to 3?
Answers
Answer:
(0,3)
Step-by-step explanation [0,3] indicates that the numbers are greater or equals to 0 and less than or equals to 3; while (0,3) leaves out the equal sign
What is the slope of the line on the graph below
o1/5
o1/3
o3
o5
Hurry ASAP
Answers
Explanation: Yes
Jerry can frame a room in 1 hour, while Jake takes 4 hours. How long would it take for them to frame a room working together?
Answers
Answer:
45 minutes
Step-by-step explanation:
If two people work together, the time it takes to frame will obviously be shorter. Since Jake Takes four times longer, he will only cut off a fourth of Jerry's time. Which is 15 mins. 60 mins - 15 mins = 45 mins.
The least common multiple that is divisible by both a and b is the smallest positive integer. It will take 4/5 hours for Jerry and Jake to frame a room working together.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Jerry can frame a room in 1 hour. Therefore, the rate at which Jerry frame the room is,
Rate of Jerry = 1/1 room per hour
= 1 room per hour
Jake can frame a room in 4 hours. Therefore, the rate at which Jake can frame the room is,
Rate of Jake = 1/4 room per hour
Now, the rate at which they two will work together is,
Rate of working together = 1 + 1/4 room per hour
= 5/4 room per hour
Further, the time it will take for the two of them to frame a room working together is,
Time = 1/Rate
= 4/5 hour
Learn more about Least Common Multiple:
https://brainly.com/question/20739723
#SPJ2
Corey earned
$3,200 working over the summer. If he
made $400 each week, how many weeks
did he work? How many weeks would he
need to work to earn $6,400? $8,800?
Answers
Answer:
He would need to work 8 weeks for 2300, 16 for 6400, and 22 for 8800
Step-by-step explanation:
You have to divide 3,200 by 400 since thats how much he makes in a week
that gives you 8
and you do the same for the rest
equation:
money wanted/400=weeks
Answer:)
he work for 8 weeks to earn 3,200
he needs to work 8 more weeks to earn 6,400
he needs to work 14 more weeks to earn 8,800
Step-by-step explanation:
Doughnuts at one shop cost £1.40 each.
Doughnuts at a second shop cost 20% more.
What is the difference in the cost of doughnuts at the two shops?
Answers
Given parameters:
Cost of doughnut at one shop = £1.40
Unknown
Difference in the cost of doughnuts at the two shops = ?
To find the difference in the cost of doughnuts at the two shops, we must know the cost of doughnut at the second shop;
Given that the cost of doughnut at the other shop is 20% more;
= 1.20 x £1.4
= £1.68
The difference in the cost of doughnuts = £1.68 - £1.40 = £0.28
So the answer is £0.28
