Answer:
1
A bag contains 7 red balls and 3 green balls. Two balls are taken from the bag. Find the probabilities that they are:
(a)
both red
(b)
both green
(c)
one red and one green.
Show me
2
Weather experts estimate the probability of rain any day as
0.6 if it rained the previous day
0.3 if it did not rain the previous day.
Find the probability that a dry day is followed by,
(a)
two more dry days,
(b)
two wet days,
(c)
a wet day and then a dry day.
Show me
Exercises
1
A bag contains 3 red counters and 4 blue counters. Two counters are taken out of the bag. Find the probability that:
(a)
both counters are red,
Check
(b)
both counters are the same colour,
Check
(c)
the counters are different colours.
Check
2
A card is drawn at random from a full pack of playing cards. It is not put back. A second card is then drawn from the same pack.
(a)
Find the probability that:
(i)
both cards are hearts,
Check
(ii)
only one card is a heart,
Check
(iii)
neither card is a heart.
Check
(b)
Find the probability that:
(i)
both cards are sevens,
Check
(ii)
neither card is a seven,
Check
(iii)
at least one seven is obtained.
Check
3
The probability that a football team win their next match is:
⎧
⎨
⎩
0.3 if they won their last match,
0.8 if they lost their last match.
(a)
Find the probability that if a match is lost, the next two will be won.
Check
(b)
Find the probability that if a match is won, the next two will also be won.
Check
4
A pack of 24 cards contains 12 red cars, 8 yellow cards and 4 pink cards. In a game a player has to select two cards, one after the another. Find the probabilities that a player selects,
(a)
2 red cards,
Check
(b)
2 yellow cards,
Check
(c)
2 pink cards,
Check
(d)
2 cards that are the same colour,
Check
(e)
a pink card and a yellow card in any order.
Check
5
Nisha buys a bag of sweets. The bag contains 3 orange, 17 strawberry and 10 cherry flavour sweets. Nisha eats 3 sweets. Find the probability that she has:
(a)
not eaten an orange sweet,
Check
(b)
eaten 3 sweets of the same flavour,
Check
(c)
only eaten strawberry flavour sweets.
Check
6
Two yachts A and B regularly race against each other. In rough weather the probability that A wins is 0.8 and in fine weather 0.4. The probability of fine weather at a race is 0.7.
(a)
What is the probability that A wins a race?
Check
(b)
If there is a best of 3 races competition, what is the probability that A wins the competition?
Round up to 2 decimal places.
Check
7
Brian enjoys swimming. If it is a sunny day the probability that he swims is 0.9. It the day is not sunny, the probability that he swims is 0.65.
The probability that tomorrow will be sunny is 0.8.
Draw a tree diagram to illustrate this information.
Calculate the probability that Brian will not swim tomorrow.
Check
8
Wes gives Bronwen a box of 25 mixed sweets. 12 of the sweets have soft centres, 8 have toffee centres and 5 have hard centres. All of the sweets have identical wrappers. Bronwen chooses 2 sweets at random.
(a)
What is the probability that Bronwen will choose 2 toffee centred sweets?
Check
After they have eaten 3 soft centred sweets and 2 toffee centred sweets, Wes chooses 3 sweets at random from the 20 sweets that are left.
(b)
What is the probability that Wes will choose a soft centred sweet, followed by a toffee centred sweet, followed by a hard centred sweet?
Check
When there are only 10 sweets left, 3 have soft centres, 4 have toffee centres and 3 have hard centres. Bronwen chooses two sweets at random.
(c)
What is the probability that neither of the sweets will have a hard centre?
Check
9
The fast food chain Macduff's is running a competition.
You obtain a card with 12 circles covered up.
You are allowed to scratch off up to three circles.
You win if 2 or more PALM TREES are revealed.
You lose if two or more CRABS are found.
If you win, you scratch off one of the three squares to show your prize.
Step-by-step explanation:
the values of x and y vary directly and one pair of values are given. write an equation that relates x and y. simplify completely.
x=12, y=3
y= ? / ? x
Answer:
y= ? / ? x
==> y = 12/3 x
y = 4x
Step-by-step explanation:
[tex]x \: and \: y \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ let \: the \: relation \: be \: k\\ x = ky \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ - ky = - x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ ky = x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ k = \frac{x}{y} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ k = \frac{12}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ k = 4[/tex]
K = 4
What is the meaning of proportional and non-proportional?
Answer:
Proportional: Non-Proportional: How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.
Step-by-step explanation:
hope it helpsWhat is the solution to the system of equations represented by these two lines?
Question 2 options:
(2, 3)
(0, 4)
(3, 2)
(3, 0)
Answer:
(3,2)
Step-by-step explanation:
this is an intersecting lines which means it has one solution
PLEASE HELP!!!!!! A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 9 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?
15 over 20
11 over 20
6 over 20
5 over 20
This is the same as writing 5/20
====================================================
Explanation:
Instead of saying "9 over 20", I'll write 9/20. The same goes with the other fractions.
The 9/20 probability for red means there are 9 red out of 20 total.
Similarly, the 6/20 refers to 6 blue out of 20 total.
There are 9+6 = 15 sections that are either red or blue, but not both.
This leaves 20-15 = 5 sections for green and it leads to 5/20 as the final answer. We could reduce 5/20 to get 1/4, but it looks like your teacher doesn't want you to reduce the fraction. Sometimes it's handy to not reduce because we see that it's out of 20 spaces total.
Answer:
15/20
Step-by-step explanation:
BONUS: Your friend Alice is a full-time college student, earned $4,000 working at the campus bookstore over two semesters last calendar year, and also got a part-time job as a cashier in February, earning $9,500. Alice knows that you have been learning about taxes in your personal finance lessons and asks you, "Do I need to file taxes this year? If I do, what is the process like?" a) Determine if Alice needs to file taxes this year and explain your reasoning b) If you conclude that Alice does need to pay taxes, explain what forms she will need, what the deadlines are, and what method you recommend she use to file her taxes
Answer:
B
Step-by-step explanation:
yes, she does need to pay taxes and the steps needed to be taken are important.
It is found that Gross income was more than the larger of $1,050
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given that Your friend Alice is a full-time college student, earned $4,000 working at the campus bookstore over two semesters last calendar year.
Also he got a part-time job as a cashier in February, earning $9,500.
So, under the age of 65 and not older or blind, you must file your taxes if: Unearned income was more than $1,050.
Earned income was more than $12,000.
Therefore, Gross income was more than the larger of $1,050 or we can say on earned income up to $11,650 plus $350.
More about the Algebra link is given below.
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Help ASAP Please answer this
Answer:
1.Right
2.Obtuse
3.Acute
4.Straight
5.Obtuse
Step-by-step explanation:
Hope this Helps!!!!!
Find the student’s error in solving the following inequality.
2 < –3x –4 < 5
6 < –3x < 5
–2 > x > –5/3
The student should have added 4 to all parts (left, middle, and right) to get 6 < –3x < 9.
The student divided 6/–3 incorrectly.
The student should not have switched the direction of the sign in the final step.
Answer:
[tex]-3 < x < -2[/tex]
Step-by-step explanation:
Seperate compound inequalities into system of inequalities: [tex]\left \{ {{-3x-4 > 2} \atop {-3x-4 > 5}} \right.[/tex]
Rearrange unknown terms to the left side of the equation: [tex]-3x > 2+4[/tex]
Calculate the sum or difference: [tex]-3x > 6[/tex]
Reduce the greatest common factor for both sides of the inequality: [tex]-x > 2[/tex]
Divide both sides of the inequality by the coefficient of the variable: [tex]x < -2[/tex]
Rearrange unknown terms to the left side of the equation: [tex]-3x < 5+4[/tex]
Calculate the sum or difference: [tex]-3x < 9[/tex]
Reduce the greatest common factor for both sides of the inequality: [tex]-x < 3[/tex]
Divide both sides of the inequality by the coefficient of the variable: [tex]x > -3[/tex]
Find the intersection: [tex]-3 < x < -2[/tex]
Answer: [tex]-3 < x < -2[/tex]
HELP
drag and drop answer here
drag and drop answer here
drag and drop answer here
drag and drop answer here
Largest
l
Answer:
[tex]-\frac{17}{4}\\-3.95\\-\sqrt{15}\\-3\frac{6}{7}\\-3\frac{1}{4}\\-3.2[/tex]
Step-by-step explanation:
From smallest to largest:
[tex]-\frac{17}{4}\\-3.95\\-\sqrt{15}\\-3\frac{6}{7}\\-3\frac{1}{4}\\-3.2[/tex]
Joe had $293 in his savings account, but he started withdrawing $10 each week for spending money. How much money will be left in Joe's account after 12 weeks?
Answer:
$173
Step-by-step explanation:
10 - (taking away each week)
12 - (the amount of time)
10 x 12 = 120
$120 - $293 = $173
(or take 10 away for $293 12 times)
Bye, have a great day/night.
Joe's account have $173 after withdrawing.
what is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Joe had $293 in his savings account.
each week amount withdrawal = $10
So, after 12 weeks Joe's account have
= 293 - 12x 10
= 293 - 120
= 173
Hence, Joe's account have $173 after withdrawing.
Learn more about Unitary method here:
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The value of r2 for a relationship between distance (in miles) and the cost (in dollars) of a shuttle bus from a hotel to
an airport is calculated using computer software. Identify and interpret the value of r2 by completing the sentence.
The value of r2=___ tells us that about___ of the variation in the ___ of the shuttle bus is accounted for by the linear relationship created with the ____ of the shuttle bus.
Answer:
96.80%
97%
cost
distance in miles
Step-by-step explanation:
The first number is given in the data, you have to round up the percentage for the second answer, and for the last two its given in the directions.
The complete statement is: the value of r2 = 96.80% tells us that about 97% of the variation in the cost of the shuttle bus is accounted for by the linear relationship created with the distance of the shuttle bus.
How to identify and interpret r^2From the table, we have the following parameter;
R-Sq = 96.80%
The above value represents the coefficient of determination, r^2.
So, we have:
r^2 = 96.80%
Approximate
r^2 = about 97%
From the question, the dependent variable (y) is cost, while the independent variable (x) is distance.
Since the coefficient of determination (r^2) measures the variation between the dependent and the independent variables, the blanks would be completed with 96.80%, 97%, cost and distance, in that order
Read more about coefficient of determination at:
https://brainly.com/question/17237825
Please select the word from the list that best fits the definition
Creates clouds, snow, sleet, rain and hail
Answer:
water cycle
Step-by-step explanation
makes sense
Answer:
D. WATER CYCLE
Step-by-step explanation:
It takes 12 people to play a 4 minute pool game. How many people would it take to play a 36 minute game?
To play a 36-minute game, it takes 108 people.
Given information:
It takes 12 people to play a 4-minute pool game.
To find the number of people takes to play a 36-minute game:
Apply multiplication property.
Let n be the number of required people.
So, the required number n can be described as,
n = 36/4 x 12
n = 9 x 12
n = 108
Therefore, n = 108.
To learn more about multiplication;
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the sum of two numbers is 133. four times the smaller of the two numbers equals three times the greater number. find the numbera
56, 85, 64, 51, 23, 43, 82, 77, 50 what's the Mean, Median, Mode, Range
Answer:
Explanation
Step-by-step explanation:
Median is 56.
To calculate median you have to sort the numbers least to greatest and find the middle number sometimes there is 2 when there is an even number for the numbers in the dataset.
Mean 59.
For mean you add up all the scores and then divide them by the number of scores there were but for this case numbers.
56 + 85=141 + 64=205 + 51=256 + 23=279 + 43=322 + 82=404 + 77=481 + 50=531 divided by 9=59
Mode
Is all of them because mode is the number that appears most in the data set and in our data set every number only appears once so all of them>
Range is 62
Because range is highest number subtracting our lowest number so highest number=85
Our lowest number is 23
so 85 - 23=62
Hope this helps have a great day:)
A recipe for fruit salad includes 1/3 cup of grapes for 4 servings how many cups of grapes are needed for 30 servings of this fruit salad?
Answer:
2 1/2 Cups
Step-by-step explanation:
1. 1/3=4s (s is represents the amount of grapes in a serving)
2. (1/3)/4=4s/4 will equal 0.0833...
3. (0.0833...)(30)=2.5
*Use a calculator to be exact, don't round
Bill cut a cake into 14 pieces and ate 3 of them. Carol cut a same size cake into 16
pieces and ate 5 of them who ate more?
How much cake did they eat altogether?
Answer:
Bill ate more.
Step-by-step explanation:
Bill 14/3=4.66
Carol 16/5=3.2
then multiply the answer by 100 to get the percentage of how much they ate. After you get that, you add it together to figure out the percentage of cake they ate together.
Planet fitness costs $1 to sign up and $10 a month for its basic gym membership. Create an equation
What is the sum of the following equation?
eight tenths plus sixty hundredths equals blank 50 POINTS
A sixty eight hundredths
B one and four hundredths
C one and forty hundredths
D one and eighty six hundredths
Answer:
C
0.8+0.6=1.4
Step-by-step explanation:
eight tenths plus sixty hundredths equals blank
eight tenths = 0.8
sixty hundredths = 0.6
0.8+0.6=1.4
the answer is c
"0.8+0.6=1.4"
Use the image to answer the question.
Which side is opposite angle F in triangle RFE?
A. RE
B. RF
C. EF
D. FR
Answer:
RE
Step-by-step explanation:
Opposite side of the angle is the side which is not an holding arm of the angle.
Answer:
B. RF
Step-by-step explanation:
Hope this helps, have an amazing day/ restful night!
What is the volume of this shape?
At the seafood market, a pound of tuna cost $8. 55. Jeremy bought 8 3/5 lbs for a Sunday dinner.
[tex][Hello,BrainlyUser][/tex]
Answer:
$73.53
Step-by-step explanation:
Since 1 Pounds cost → $8.55
Then 8 3/5 * $8.55 = 73.53
Hence, Jeremy bough 8 3/5 for $73.53
[CloudyBreeze]
This recipe makes 30 shortbread fingers.
Rose follows this recipe, but only wants to make 6 fingers.
How much of each ingredient does she need?
Recipe: Makes 30
120 g butter
60 g sugar
180 g flour
Answer:
(listed in order) 24, 12, 36
Step-by-step explanation:
divide each answer by 5. Since 30÷6 is 5. So 180÷5 is 36. So on so fourth.
HELP FAST
Which of the following systems of inequalities has no solution?
3x - y > 1
O 6x – 2y < 20
4x + y > 4
8x + 2y < -5
3x - 4y < 1
O 3x – 4y < 8
y < 0
Ox20
Answer: 1)
y < 0
x >= 0
2)
3x - 4y < 1
3x - 4y < 8
3) 4x + y > 4
8x + 2y < -5
4)
3x - y > 1
6x - 2y < 20
Step-by-step explanation:
Which transformation is illustrated above?
Answer:
A
Step-by-step explanation:
Reflection.correct me if im wrong
Divide the following numbers. -45/-5 = what th answer
Answer:
9 is the answer
Find the value of x. PLS HELP ASAP
Answer: 20
Step-by-step explanation:
Find the measure of the missing angle
Answer:
40
Step-by-step explanation:
82 + 58 + ? = 180
140 + ? = 180
? = 40
Have an amazing day!
Please mark brainliest!
Kevin jersey figure that has four sides. All sides of the same length. His figure has no right angles. Figure does Kevin draw?
The speed of light is approximately
1.86 x 10^5 miles per second. How
many miles will light travel in a
24-hour day?
Answer:
16,070,400,000 miles per day
Step-by-step explanation:
Starting off, there are 60 seconds in a minute and 60 minutes in an hour. In total, there are 3600 seconds in an hour. We still need to multiply that number by 24 because the question asks for a full day. 3,600 multiplied by 24 is 86,400. Now that we know there are 86,400 seconds in a day, we can finally get down and dirty.
1.86 × 10^5 × 8.64 × 10^4
Combine the two powers of ten and get
1.86 × 8.64 × 10^9
This will give you
16.0704 × 10^9 or 16,070,400,000
Hope this helps!!
13 years ago Mei what’s 35 years old. How old is she know
Hey there!
35 years of age is her past age so to find out her age you just simply ADD her past age (which is like 35) plus 13.
YOUR EQUATION:
35 + 13 = current age
See with basic addition (two digit) you work from BACK to FORTH. So let’s do it that way to make it “easier” to solve.
5 + 3 = 8
3 + 1 = 4
Therefore, your answer SHOULD be: 48
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
