Answer:
35
Step-by-step explanation:
2/5x55=22
55-22=33
22x1/11=2
33+2=35
35 left on tree
Tickets numbered 4, 5, 6......48, 49 are placed in a box and mixed thoroughly. One ticket is drawn from the box. Find the probability that the number on the ticket is:
(i) an even number (ii) A number less than 16
(iii) a perfect square (iv) a prime number less than 30.
Answer:
i) The probability that the number on the ticket is even is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) The probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
Step-by-step explanation:
Tickets numbers are: 4, 5, 6......48, 49
So, total tickets in box = 46
We need to find probability that the number on the ticket is:
i) an even number.
Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48
Total number of favourable outcomes = 23
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 23
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{23}{46}\\Probability=\frac{1}{2}[/tex]
So, the probability that the number on the ticket is an even number is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) A number less than 16
Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15
Total number of favourable outcomes = 12
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 12
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{12}{46}\\Probability=\frac{6}{23}[/tex]
So, the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) a perfect square
Perfect squares are: 4,9,16,25,36
Total number of favourable outcomes = 5
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 5
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{5}{46}[/tex]
So, the probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) a prime number less than 30.
Prime numbers less than 30 are: 5,7,11,13,17,19,23,29
Total number of favourable outcomes = 8
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 8
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{8}{46}\\Probability=\frac{4}{23}[/tex]
So, the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
Jenny was doing laundry. She folded 10
towels and divided them evenly into p
piles. Which expression represents the
number of towels in each pile?
Pls be right will give brainliest
Answer:
The answer is D.
Step-by-step explanation:
Can someone please help?!
complete the table for values y= 2x+ 3
Answer:
There should be a table with the values of x to find Y or vice versa, it depends.
Step-by-step explanation:
it's an easy way to answer this question in the table given. You just have to substitute the given values into the formula and find the Yor X depending on the table what you are searching for?
for example, if you are given x as 2 then, to find Y will be:
Y =2(2) + 3
Y = 7
Write the standard form of the line that has a slope - 3/4 intercept of -2Include your work in your final answer Type your answer in the box provided or use the upload option to submit your solution
What is diffusion
Explain how blood clots
When was the first world war fought
Answer:
Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.
Step-by-step explanation:
help pls thanks huys
Answer:
12
Step-by-step explanation:
Let the unknown number be x.
8 = -4(1) + x
8 = -4 + x
x - 4 = 8
x = 8 + 4
x = 12
Answer:
[tex]a_{n}[/tex] = - 4n + 12
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = a₂ - a₁ = 4 - 8 = - 4 , then
[tex]a_{n}[/tex] = 8 - 4(n - 1) = 8 - 4n + 4 = - 4n + 12
Choose the answer that validates that the rate of change is constant by showing that the ratios of the two quantities are proportional and equivalent to the unit rate (simplified constant rate of change): NUMBER OF TEXTBOOKS Number of Students Number of Textbooks 7 35 14 70 21 105 28 140
Given:
The table of values is
Number of Students : 7 14 21 28
Number of Textbooks : 35 70 105 140
To find:
The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.
Solution:
The ratio of number of textbooks to number of students are
[tex]\dfrac{35}{7}=5[/tex]
[tex]\dfrac{70}{14}=5[/tex]
[tex]\dfrac{105}{21}=5[/tex]
[tex]\dfrac{140}{28}=5[/tex]
All the ratios of the two quantities are proportional and equivalent to the unit rate.
Let y be the number of textbooks and x be the number of students, then
[tex]\dfrac{y}{x}=k[/tex]
Here, k=5.
[tex]\dfrac{y}{x}=5[/tex]
[tex]y=5x[/tex]
Hence the rate of change is constant that is 5.
Can some help me fast!
Answer:
5x +2y =38
5(6) +2y = 38
30 +2y= 38
2y= 8
y= 4
(6, 4)
5(0) +2y =38
2y= 38
y= 19
(0,19)
5(-2) +2y= 38
-10 +2y =38
2y= 48
y=24
(-2,24)
if each value of the data of the poplation function is doubled which of the following is not correct?
A. the mean is doubled
B. the mode is doubled
C. the variance is doubled
D. the median is doubled
Answer:
The variance is doubled; C
Step-by-step explanation:
Here, we want to select what will be wrong if every number in the dataset is doubled
A. This is correct
The mean is the average of the numbers which is calculated by dividing the sum of the numbers by the count of the numbers
By doubling the numbers, we have simply doubled the sum while the count is same
So what we have as the result of the division will be 2 times what we had initially making the mean doubled
B. The mode is doubled
Yes, this is correct
The mode is the highest in frequency
Doubling all numbers will not double their frequencies but their values. So the number that was the mode in the previous case will be the same but now doubled
D. The median is doubled
This is correct
The median deals with the middle number.
Since all numbers are doubled in the present case, the median to is also doubled along side as the numbers are now twice what they were evenly
C. This is wrong
The variance has to do with the spread of data
We are actually subtracting values
Since we are doubling across board, the difference between the numbers is the same as this, the variance cannot change
We can look at this from the angle that all others are measures of central tendency looking at having a central figure while the variance is a measure of spread.
HELP ASAP
suppose the fee is 7.5% of the selling price. determine the total cost of the game(fee included) original cost of the game is $76.
show your work
Answer:
Original Cost: $76
Fee: 7.5%
Take 7.5% of 76 (76 times .075) and add the result to the original amount $76
So, 76 times .075= 5.7
5.7+76= 81.7
Step-by-step explanation:
Solve: 7n + 5 = -44 HELPPPPPPPPPPP
Answer:
-7
Step-by-step explanation:
7n+5=-44
-5 - 5
7n=-49
7/7 -49/7
n = -7
What is the equation in slope intercept form of a line that passes through the point (-3,-11) and is parallel to the line y=2x-4?
Step-by-step explanation:
hey i hope this helps idk if its clear enough but yeah
When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?
The graphs of y= ‐4x and y= ‐4x+2 are shown. Use the drop-down menus to complete the statements.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare to the amount of vegetables?
Answer:
There is two ounces of water for every ounce of vegetables.
Step-by-step explanation:
Given that:
Sam needs 16 ounces of water and 8 ounces of vegetables to make 1 batch of vegetable soup.
Ratio is defined as the quantitative relation between two numbers.
We will use ratio to compare the amount of water to amount of vegetables.
Ratio of water to vegetables
16 : 8
Dividing by 8
[tex]\frac{16}{8}:\frac{8}{8}[/tex]
2:1
Hence,
There is two ounces of water for every ounce of vegetables.
Erin owns 48 movies on DVD. Three eighths of the movies are comedies, 1/3 are dramas, 1/4 are action adventure, and the rest are science fiction. What part of her movie collection is science fiction?
Can anyone plz help me
Answer:
They multiplied the exponents instead of adding.
Step-by-step explanation:
Essentially, 2^2 x 2^3 is (2)(2) x (2)(2)(2) which is 5, not 6
Answer:
when it says times it doesn't mean times the powers it means add
basically the first one is correct
Well heck,how come, to me this looks like collage level stuff please help me? My cousin isn’t awake enough and he usually helps me and I don’t wanna wake him up,just help me till he wakes up. Try to answer correctly please,if you don’t know then please scroll past ok? I need to get this right so my mom can think I’m “perfect”
Answer:
Step-by-step explanation:
i=prt
your p=30 dollars
rate is 10%
t=1 year
i=(30*0.01*1)=3
3 dollars
7/12+1/3 show your work and how you got your answer and you do all that and don’t scam me I will give branlist
Answer: 11/12
Step-by-step explanation:
7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:
7/12 + 4/12 = 11/12
11/12 is in simplest form, so that should be correct! Hope this helps! :)
Step-by-step explanation:
Hi so are we dating?????
i really need help,please. also happy holidays!
Answer:
D
Step-by-step explanation:
the imaginary unit i is defined as i = ?
The sum of two angles is 138.6° one angle has a measure of 54° what is M The measure in degrees of the second angle
Answer:
84.6 degrees
Step-by-step explanation:
138.6 - 54 = 84.6
simply 8/-4 dived by -3/9
Answer:
-6
Step-by-step explanation:
Mke y the subject of the formula.
w=x^2-2yz
Answer:
W = x^2 - 2yz / - w
0 = x^2 - 2yz - w / +2yz
2yz = x^2 - w // 2z
y = (x^2 -w ) / 2z
So correct answer is D
Help please!
Thank you!
Answer:
81
Step-by-step explanation:
y= x²
if x= 9 substitute x with 9 in the equation
y= 9² = 81
The line that passes through (2, 4) and (0, 8) can be expressed by which of the following
Answer:
The first one and the second one
Step-by-step explanation:
I hope that this helped
HELPPPP!!!
Use the diagram to answer the question
PLEASE HELP FAST ILL GIVE BRIANLIST AND EXTRA POINTS!
What expression is equivalent to
Answer:
A
Step-by-step explanation:
Okay.
A negative exponent means we want to "flip" the term.
so we get
(1/-c^2)^1/3
When we get a fraction exponent, we want to "root" the term by that
so we get
[tex]\sqrt[3]{\frac{1}{-c^2} }[/tex]
Which simplifies to
[tex]\frac{\sqrt[3]{1} }{\sqrt[3]{-c^2} }[/tex]
Which becomes[tex]1/\sqrt[3]{-c^2}[/tex]