The probability of rolling double threes with two number cubes is calculated by multiplying the likelihood of each die showing a three independently, which is 1/6. Since each die is independent, the combined probability is 1/6 x 1/6 or 1/36.
When rolling two number cubes, often referred to as dice, the probability of rolling double threes is determined by considering the likelihood of each event occurring independently. Each die has six faces, so the probability of rolling a three-on-one die is 1/6. Since the outcome of rolling the second die is independent of the outcome of the first die, its probability of showing three is also 1/6.
The combined probability of both independent events occurring—that is, rolling a three on both dice—is found by multiplying the probabilities of the individual events. This means the probability is 1/6 multiplied by 1/6, which equals 1/36. So, the chance of rolling double threes is 1/36.
If we were discussing a different combination, such as rolling a one and a three, we would add the probability of the first die rolling a one and the second a three to the probability of the first die rolling a three and the second a one. But in the case of double threes, there is only one possible outcome that meets the criteria (a three on the first die and a three on the second) and therefore only one product of probabilities to consider.
65=15+x^2 solve for x
Answer:
±5sqrt(2) =x
Step-by-step explanation:
65=15+x^2
Subtract 15 from each side
65-15=15-15+x^2
50 = x^2
Take the square root of each side
±sqrt(50) = sqrt(x^2)
±sqrt(25*2) =x
±sqrt(25)sqrt(2) =x
±5sqrt(2) =x
HELP ILL GIVE MOST BRAINLY AND 50 POINTS
HURRY PLEASE
Answer: C Or the third answer
Step-by-step explanation:
You square root it and get x+b/2a=±(√b^2-4ac)/√4a^2 which is the third answer or c
Answer:
Third option
Step-by-step explanation:
(x + b/2a)² = (-4ac + b²)/4a²
Square root both sides
x + b/2a = +/- sqrt(b² - 4ac)/sqrt(4a²)
Brittany surveyed the 37 students in her math class on whether they liked
jogging. Of the girls, 14 liked jogging and 8 did not. How many boys are in
Brittany's class?
Answer:15 boys
Step-by-step explanation:
14+8
37-22
Can someone help me with this? I will mark you as brainliest!
Answer:
-35
Step-by-step explanation:
replace the blank with variable such as y
now the equation is -2y=70
divide -2 from both sides and you'll get y=-35
therefore the blank is -35
A cereal company is putting 111 of 444 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1/41/41, slash, 4. Vera wonders how many boxes she should expect to buy to get all 444 prizes. She carried out 363636 trials of a simulation and her results are shown below. Each dot represents how many boxes it took to get all 444 prizes in that trial.
Answer:
(27/36) = (3/4) = 0.75
Step-by-step explanation:
The complete question is attached to this solution.
P(9 or fewer boxes) = P(x ≤ 9)
Since Vera carried out the simulation/experiment, this probability will be read from the results of her simulation (the dotplot).
Note that the dots on the numbers of the dotplot represent the number of boxes it took Vera to get all the prizes.
So, the probability of getting all the prizes in 9 or fewer boxes will be just counting the number of times in the simulation where she got the 4 prizes in 9 boxes or fewer.
This starts from the least number on the dotplot, 4 all the way to 9.
Total number of simulations = 36
P(x ≤ 9) = P(x=4) + P(x=5) + P(x=6) + P(x=7) + P(x=8) + P(x=9)
= (4/36) + (6/36) + (3/36) + (4/36) + (4/36) + (6/36) = (27/36)
Hope this Helps!!!!
This question is about the Coupon Collector's problem in probability theory. The expected number of cereal boxes one would need to buy to collect all 444 prizes can be calculated using the formula for the expected value of the coupon collector's problem: E[X] = n*(1 + 1/2 + 1/3 + ... + 1/n).
Explanation:This problem is essentially a mathematical statistics problem, more specifically, it involves the concept of probability and expected value. In this case, the company is inserting a prize into each box of cereal. There are 444 unique prizes, and the probability of getting any specific prize is 1 out of 444. Therefore, the number of boxes one would need to buy to collect all prizes follows what is known as the Coupon Collector's problem in probability theory.
The expected number of boxes one would need to buy can be calculated using the formula for the expected value of the coupon collector's problem: E[X] = n*(1 + 1/2 + 1/3 + ... + 1/n), where n is the number of unique prizes.
Plugging n = 444 into the formula gives us: E[X] = 444*(1 + 1/2 + 1/3 + ... + 1/444). For a large number of trials, this value will closely approximate the average number of boxes one would need to buy to collect all 444 prizes.
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Brian has reduced his cholesterol level by 16% after his last check up. If his original level was 200, what is his cholesterol level now?
Answer:
32 is his cholesterol
Step-by-step explanation:
What are the solutions to x2 + 4x - 12 = 0?
x= -2 or x = 6
x= 3 or x= -4
x= 2 or x = -6
x= 4 or x = -3
Answer:
x= -6 x=2
Step-by-step explanation:
x^2 + 4x - 12 = 0
Factor, what 2 terms multiply to -12 and add to 4
6* -2 = -12
6+-2 = 4
( x+6) (x-2) =0
Using the zero product property
x+6 =0 x-2=0
x= -6 x=2
Answer:
option C will be the correct answer
x= 2 or x = -6
Step-by-step explanation:
[tex]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 = 0 \: \: \: \: or \: \: \: \: x + 6 = 0 \\ x = 2 \: \: \: \: or \: \: \: \: x = - 6[/tex]
The ratio of a right angle to the total degrees in a circle is
Select one:
a. 1:2
b. 1:4
c. 1:3
d. 1:5
The ratio of a right angle to the total degrees in a circle is 90:360, which simplifies to a ratio of 1:4.
The ratio of a right angle to the total degrees in a circle can be found by comparing the degree measures of each. A right angle is 90 degrees, and a full circle is 360 degrees.
Therefore, the ratio of a right angle to the total degrees in a circle is 90:360.
When simplifying this ratio, we divide both terms by 90, the degree measure of the right angle, which gives us 1:4.
Hence, the ratio is simplified to 1:4.
7. If a 12 pack of soda cost Mr. Key $3.84, what would the unit price be for
one can? Write your answer using the constant of proportionality
equation
O
y 3.125x
O y-0.23
O y = 0,32%
y
0.30X
Answer:
32 cents
Step-by-step explanation:
3.84 ÷ 12 = 0.32 so 32 cents
The frequency table represents the job status of a number of high school students.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150.
Which shows the conditional relative frequency table by column?
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
To create the conditional relative frequency table, divide each entry in the original frequency table by the corresponding entry in the 'total' column.
Explanation:The conditional relative frequency table can be created by dividing each entry in the original frequency table by the corresponding entry in the 'total' column. The first column in the conditional relative frequency table will still have the labels 'currently employed', 'not currently employed', and 'total'. The second column will be labeled 'Looking for a job' with entries 0.12, 0.38, 0.33. The third column will be labeled 'Not looking for a job' with entries 0.7, 0.65, 1.0. And the fourth column will remain labeled 'total' with entries 0.27, 0.73, 1.0.
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1. Lynn has learned that she will need to save $1 million dollars to support her current lifestyle if she
retires in 15 years. Lynn jiad not thought about planning for retirement until now. If she begins
saving now, she will need to save approximately $67,000 per year. Based on her annual income of
$75,000, this goal is not attainable. How would Lynn's retirement be affected if she had understood
the importance of planning for retirement earlier?
Answer:
Given 40 years of time to plan in advance for retirement, Lynn would only need to save $25000 per year to end up with $1 million, which is attainable.
Step-by-step explanation:
Lets say that she starts planning for retire with 40 years in advance instead of just 15, if that is the case, then she would need to save $1.000.000/40 = $25.000 per year, which is a pretty big ammount but it is much more attainable than $67000, since it is only a third of her annual income.
What do you get when you subtract 9 from b?
When you subtract 9 from the variable "b," you get the expression:
b - 9
When you subtract 9 from the variable "b," you are performing a basic arithmetic operation in algebra. This subtraction results in a new value, which is b decreased by 9 units. In mathematical terms, it can be represented as:
b - 9
This expression represents the concept of taking a quantity, "b," and reducing it by 9. The result will depend on the specific value of "b." For example, if b = 15, then b - 9 would equal 6. If b = 20, then b - 9 would equal 11. In essence, subtracting 9 from "b" simply means subtracting 9 from the value represented by "b," whatever that value may be.
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Find an explicit formula for the geometric sequence 96,24,6,1.5,...
Answer: 96 / 4 ^n-1
Step-by-step explanation:
This is a geometric sequence with a first term of 96. The common ratio is the division of the 2nd term by the first term. This will be:
24/96 = 1/4
a = 96
r = 1/4
The formula will be:
ar ^n-1
= 96 × (1/4)^n-1
The concluding part is explained in the attached file.
Answer:
96(1/4)^n-1
Step-by-step explanation:
Hadi earned $358.00 from job this week. Next week, he expects his pay to be 17% less than it was this week. How much money should Hadi expect to be paid next week?
Answer: $297.14
Step-by-step explanation:
Let n be his pay,
X = n - n(17%)
X = n - n(0.17)
X = (358) - 358(0.17)
X = 358 - 60.86
X = $297.14
Identify the percent amount and base in this problem
75% of what number is 30%?
Answer:
2/5 or 0.4
Step-by-step explanation:
Let the number be x
75% of x = 30%
[tex]\frac{75}{100}*x=\frac{30}{100}\\\\x =\frac{30}{100}*\frac{100}{75}\\\\x=\frac{30}{75}\\\\x=\frac{2}{5}[/tex]
True or false:(6.9×10^8) (3.1×10^8)=2.139×10^17.
A true
B false
Answer:
True
Step-by-step explanation:
Answer:
i believe true
Step-by-step explanation:
i worked it and i got the same answer
1/2 plus what equals 7/8
To find the number that, when added to 1/2, equals 7/8, you must subtract 1/2 from 7/8. The solution to this problem is 3/8, meaning that 1/2 plus 3/8 equals 7/8.
Explanation:To solve the problem 1/2 plus what equals 7/8, you need to subtract 1/2 from 7/8. This is because you want to find out what number added to 1/2 will give you 7/8. Here is the step-by-step solution:
Convert 1/2 and 7/8 into decimal form. This would be 0.5 and 0.875, respectively. Then subtract 0.5 (which is 1/2) from 0.875 (which is 7/8). This results in 0.375. Then, convert 0.375 back into a fraction. The decimal 0.375 is equal to the fraction 3/8.So, 1/2 plus 3/8 equals 7/8.
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Final answer:
To find the number that when added to 1/2 equals 7/8, convert 1/2 to 4/8 so both fractions have a common denominator. Subtract 4/8 from 7/8, resulting in 3/8. Thus, 1/2 plus 3/8 equals 7/8.
Explanation:
The student is asking us to find the number that, when added to 1/2, equals 7/8. To solve this, we need to find a common denominator, which is 8 in this case. For 1/2, we multiply the numerator and denominator by 4 to convert it to 4/8. Now we have a common denominator, so we can find the missing number.
7/8 - 4/8 = 3/8
Therefore, 1/2 plus 3/8 equals 7/8. This calculation is based on the intuition that a number is needed to bridge the gap between 4/8 and 7/8.
Lisa and Elise are discussing measures of spread. Elise says the best measure of spread with which to compare data sets is the IQR. Lisa says the best measure of spread with which to compare data sets is the standard deviation. Complete the sentences
Elise is correct if the data set is
Large
Normal
Skewed
Small
Answer:
I believe the correct answer is normal
Step-by-step explanation:
Elise is correct if the data set is is normal.
What is Inter Quartile Range?The second and third quartiles, or the centre half of your data set, are contained in the interquartile range (IQR). The interquartile range provides the range of the middle half of a data set, whereas the range provides the spread of the entire data set.
The term "interquartile range" is IQR.
Also, interquartile range can have another term as mid spread.
One must organise the numbers from lower values to higher values in order to determine this range.
This evaluates data set variability.
Thus, Elise is correct if the data set is Normal.
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What is the volume of the box with a height of 3/2 inches a length of 7/2 inches and a width of 5/2 inches
You have $3.05. Entirely made of quarters and dimes. How many quarters and dimes are there.
Answer:
11 quarters and 3 dimes
Step-by-step explanation:
25 times 11 is 275
275+ 30= 305
quarter=25
dime= 10
Solve the inequality n + 20 < -42, and write the solution in interval notation.
Answer:
(-∞, -62)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsInterval Notation - [Brackets] denote inclusion, (Parenthesis) denote exclusionStep-by-step explanation:
Step 1: Define
n + 20 < -42
Step 2: Solve for n
[Subtraction Property of Equality] Subtract 20 on both sides: n < -62∴ Any number n smaller than -62 would work as a solution to the inequality. Our solution set in interval notation would be (-∞, -62).
PLEASE ANSWER!!!!!!!!!!
Which is the best estimate for 19% of 205?
Answer:
38.95
Step-by-step explanation:
[tex] \frac{19}{100} \times 205 = 38.95[/tex]
The 19 percentage of the number 205 is 38.95
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage value of the number be represented as A
Now , let the number be n = 205
Let the percentage be = 19 %
So , the value of A = n ( 19 % )
On simplifying , we get
A = 205 ( 19/100 )
A = 38.95
Therefore , the value of A is 38.95
Hence , the percentage value is 38.95
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What is the measure of JL (the minor arc)?
Answer:
164°
Step-by-step explanation:
By inscribed angle theorem:
[tex]m\overset {\frown} {JL} = 2 \times m\angle JKL\\
\therefore m\overset {\frown} {JL} = 2 \times 82°\\
\huge \red {\boxed {\therefore m\overset {\frown} {JL} = 164°}} \\ [/tex]
Answer:
164
Step-by-step explanation:
I learned about it.
The two cones below have the same radius, height, and
volume.
Are the two cones congruent? Explain and include
details to support your clain
I don't want to write the whole thing for you since that would be plagiarism for you to take, but be sure to include these key points:
One cone is oblique.
The cones have different slant heights.
The lengths of all corresponding edges are not equal.
Congruent cones must have congruent corresponding measures, including slant height.
Hope this helps!
The two cones are congruent because they have the same radius, height, and volume - all factors that determine a cone's size and shape.
Explanation:Yes, the two cones are congruent. In mathematics, two shapes are considered congruent when they have the exact same size and shape. When it comes to cones, this means that they possess the same radius and height. Since the question states that both the radius and height of the two cones are the same, we can deduce that the cones are congruent. The volume of a cone is determined by its radius and height (V=1/3πr²h) and since this is also the same for the two cones, it backs up the claim of congruency.
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Translation,rotation,reflection or dilation?
Answer:
I believe this would be a translation
Step-by-step explanation:
Answer:
Translation
Step-by-step explanation:
You didn’t flip it you just moved it
A 16-ft ladder is placed 4 ft. from the base of a
building. How high on the building will the ladder
reach?
Answer:15.5
Step-by-step explanation:4^2 + h^2 = 16^2
h^2 = 256 - 16 = 240 = 16*15
h = 4 square root 15
h = 15.5
Final answer:
The ladder will reach approximately 15.49 feet on the building, which can be determined by applying the Pythagorean theorem to the right-angled triangle formed by the ladder, the ground, and the building.
Explanation:
The student has asked a question involving the use of the Pythagorean theorem to determine the height a ladder will reach on a building when it is placed at a certain distance from the base of the building. To solve this, we can let the height the ladder reaches on the building be h feet. Since the ladder forms a right-angled triangle with the building and the ground, we can use the Pythagorean theorem which states a² + b² = c², where a and b are the lengths of the sides of the triangle, and c is the length of the hypotenuse (the ladder).
Applying this formula:
Let a = 4 feet (distance from the building).Let c = 16 feet (length of the ladder).To find h, our equation becomes 4² + h² = 16².Solving for h gives h² = 16² - 4², which simplifies to h² = 256 - 16.Thus, h² = 240.Taking the square root of both sides, h = √240, which is approximately 15.49 feet.Therefore, the ladder will reach approximately 15.49 feet high on the building.
Suppose that a randomly generated list of numbers from 0 to 9 is being used
to simulate an event that has a probability of success of 20%. Which of these
groups of numbers could represent a success?
O A. 0,1,2,3
O B. 0,1
O c. 0,1,2
OD. 0,1,2,3,4
Answer:
c:0,1
Step-by-step explanation:
The correct groups of numbers could represent a success are,
⇒ 0, 1
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 20%.
Hence, If you want to represent a 20% chance of success, then 2 of the 10 possible numbers need to represent success. It is convenient to use the numbers 0 and 1 for the purpose.
Thus, The correct groups of numbers could represent a success are,
⇒ 0, 1
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Solve the following system of equations.
{y= 7x + 11
{y= −3x + 1
Enter your answer as an ordered pair using parentheses and a comma,
like this: (42, 53)
Answer:
I don't know if I'mwrong right or worng because I got the same answer -1,4
Step-by-step explanation:
The solution of the system as an ordered pair is (-1, 4).
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
A system of equations.
y = 7x + 11 {equation 1}
y = −3x + 1 {equation 2}
Substituting the value of y from the equation 1 to equation 2,
7x + 11 = -3x + 1
10x = -10
x = -1
And y = 4
Therefore, the solution is (-1, 4).
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If you need to put 28.93 gallons of ice cream into just cups, how many cups can you make out of these? Round to a whole number.
Answer:
16 cups = 1 gallon
16( 28.93) = 462.88
Therefore, there are 462 cups of ice cream.
Step-by-step explanation:
Answer:
463 cups
Step-by-step explanation:
16 cups in one gallon.
1 | 28.93
—————- = 462.88 cups
| 16
A roll of plastic electrical tape costs 2.79$. If the sales tax rate is 5% then how much sales tax is being charged?
Answer:
$0.1395
Step-by-step explanation:
$2.79 x 0.05 = 0.1395
Answer:
14¢
Step-by-step explanation:
To solve this problem, we need to multiply 2.79 by 5%.
First, lets change 5% into a decimal as shown below:
5% -> [tex]\frac{5}{100}[/tex] -> 0.05
Now, lets multiply 2.79 by 0.05:
[tex]x=2.79(0.05)[/tex]
[tex]x=.1395[/tex]
The last step is to round our number. 0.1395 rounded to the nearest hundredth gives us .14 (14¢)
The sales tax being charged is 14¢