Answer:
Option B) 3
Step-by-step explanation:
we have the number
4162 0012 3456 789a
Find the value of a (check number)
step 1
Multiply every even-position digit (when counted from the right) in the number by two. If the result is a two digit number, then add these digits together to make a single digit
4162 0012 3456 789a
9(2)+7(2)+5(2)+3(2)+1(2)+0(2)+6(2)+4(2)
(18)+(14)+(10)+(6)+(2)+(0)+(12)+(8)
Remember that If the result is a two digit number, then add these digits together to make a single digit
so
(1+8)+(1+4)+(1+0)+(6)+(2)+(0)+(1+2)+(8)
(9)+(5)+(1)+(6)+(2)+(0)+(3)+(8)=34
step 2
add every odd-position digit
4162 00123456 789a
so
8+6+4+2+0+2+1=23
step 3
Adds the result in step 1 and the result in step 2
34+23=57
The check-digit is what number needs to be added to this total to make the next multiple of 10
In our case, we’d need to add 3 to make 60
therefore
The check number is 3
Pablo randomly picks three marbles from a bag of eight marbles (four red ones, two green ones, and two yellow ones).
How many outcomes are there in the sample space?
The sample space for drawing 3 marbles from a bag of 8 marbles is 56. This is determined using the combinations formula in statistics and probability, which takes into account the number of items and the number of draws.
Explanation:The question you're asking relates to the concept of combinations in probability and statistics. When Pablo picks three marbles from a bag of eight marbles without replacement, he changes the number of possibilities with each draw. The sample space of his experiment consists of all possible outcomes he could get when drawing the three marbles.
The number of outcomes is determined by calculating the combination of 8 items taken 3 at a time. The formula for combinations is:
C(n, r) = n! / r!(n - r)!
Substituting the given values:
C(8, 3) = 8! / 3!(8 - 3)!
C(8, 3) = 8! / 3!5! = (8 x 7 x 6) / (3 x 2 x 1) = 56
So, the sample space for this experiment contains 56 possible outcomes.
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The question is about calculating combinations in combinatorics, a topic in mathematics. For a bag containing 8 marbles and picking 3 at a time, there are 56 possible outcomes or ways in which the marbles can be drawn from the bag.
Explanation:The number of outcomes in the sample space can be found by multiplying the number of choices for each marble. In this case, Pablo is picking three marbles from a bag of eight marbles. The number of outcomes is determined by the combination formula: nCr = n! / (r! * (n - r)!). So, for Pablo picking three marbles from eight marbles, the number of outcomes in the sample space is:
nCr = 8! / (3! * (8 - 3)!)
nCr = 8! / (3! * 5!)
nCr = 8 * 7 * 6 / (3 * 2 * 1) = 56.
Therefore, there are 56 outcomes in the sample space.
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use the product-to-sum identities to rewrite the following expression
sin 14° cos50°
Need help with hw, willing to give $$
how many problems must be answered correctly on a math test with 60 problems to get a score of 85%
Round off 1563385 to the nearest million?
To round 1,563,385 to the nearest million, we look at the hundred-thousands digit (5), and since it's 5 or greater, we round up to 2,000,000.
To round off 1,563,385 to the nearest million, look at the hundred-thousands digit, which is 5 in this case.
If it is 5 or greater, we round up; if it is less than 5, we round down.
Since our hundred-thousands digit is 5, we round up, so 1,563,385 rounded to the nearest million is 2,000,000.
What are the values of the variable in 37=30-x^2
Patrick's favorite shade of purple paint is made with 4 ounces of blue paint for every 3ounces of red paint.
Which of the following paint mixtures will create the same shade of purple?
Choose 2 answer
Blue : 4x2=8
Red : 3x2=6
Blue :4x5=20
Red:3x5=15
The following mixtures will create Patrick's favorite shade of purple:
:8ounces of blue paint mixed with 6ounces of red paint
:20 ounces of blue paint mixed with 15 ounces of red paint
Answer:
actually its b and d
Step-by-step explanation:
according to khan academy
Mr Walton ordered 12 pizzas,for the art class celebration one fourth of the pizza had only mushrooms. how many of the pizza has only mushrooms
hey can you please help me posted picture of question
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x−18 , if x<18. Please help asap!
If x < 18 then you can subtract both sides by 18 and you would get x - 18 < 18 - 18 = 0
So that would be x - 18 < 0.
Hope this helps.
340 students went to the first dance but only 306 went to the second. What is the percent decrease in the attendance from the first to the second dance
y varies inversely x and y =-4 when x =7 . find the constant of variation and use it to write the equation that relates the variables
by what power of 10 should you multiply the divisor to make it a whole number?
0.82÷6.232
How many fluid ounces in 8 ounces and 5 cups?
Which of the following options represeWrite the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.nts the form of a linear equation that should be used to write the equation of a line when the slope and a point on the line are given? general form standard form factored form point-slope form
if a circle has a radius of 13 and a sector defined by a 7.4 degree arc, what is the area, in cm2, of the sector? round your answer to the nearest tenth.
name a pair of fractions that use the least common denominator and are equivalent to 9/10 and 5/6
The mean for your data set is 13. The standard deviation is 2.5. What is the z-score for 10? Note 1: If necessary, round your answer to 3 decimal places
Which values are outliers?
5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9
Select Outlier or Not Outlier for each data point.
Data Outlier Not Outlier
0.8
1.1
10.2
10.9
The outliers are 0.8, 1.1, 10.2, and 10.9. The rest are not outliers.
A value is typically considered an outlier if it is less than Q1 - 1.5 [tex]\times[/tex] IQR or greater than Q3 + 1.5 [tex]\times[/tex] IQR.
First, we need to arrange the data in ascending order:
0.8, 1.1, 4.9, 5.2, 5.8, 5.9, 6.1, 6.1, 7.4, 10.2, 10.9
Next, we find the first quartile (Q1), which is the median of the first half of the data:
(4.9 + 5.2) / 2 = 5.05
We find the third quartile (Q3), which is the median of the second half of the data:
(6.1 + 7.4) / 2 = 6.75
Now, we calculate the interquartile range (IQR):
IQR = Q3 - Q1 = 6.75 - 5.05 = 1.7
The lower bound for outliers is:
Q1 - 1.5 [tex]\times[/tex] IQR = 5.05 - 1.5 [tex]\times[/tex] 1.7 = 5.05 - 2.55 = 2.5
The upper bound for outliers is:
Q3 + 1.5 [tex]\times[/tex] IQR = 6.75 + 1.5 [tex]\times[/tex] 1.7 = 6.75 + 2.55 = 9.3
Now we can determine which values are outliers:
0.8 is less than the lower bound (2.5), so it is an outlier.
1.1 is less than the lower bound (2.5), so it is an outlier.
10.2 is greater than the upper bound (9.3), so it is an outlier.
10.9 is greater than the upper bound (9.3), so it is an outlier.
The remaining values (4.9, 5.2, 5.8, 5.9, 6.1, 6.1, 7.4) are not outliers as they fall within the range of Q1 - 1.5 [tex]\times[/tex] IQR and Q3 + 1.5 [tex]\times[/tex] IQR.
10 cm^3 of a normal specimen of human blood contains 1.2 g of hemoglobin. How many grams does 39 cm^3 of the same blood contain?
39 cm^3 of blood contains
............. grams of hemoglobin.
Scm> (define (square x) (* x x)) square scm> (define (add-one x) (+ x 1)) add-one scm> (define (double x) (* x 2)) double scm> (define composed (compose-all (list double square add-one))) composed scm> (composed 1) 5 scm> (composed 2) 17
The question involves function definitions and compositions in Scheme, a programming language. 'Square' squares its input, 'add-one' adds one to its input, and 'double' doubles its input. The composed function applies these operations sequentially.
Explanation:The student's question involves programming in the Scheme language, a dialect of Lisp. It presents a series of function definitions, including square, add-one, and double, and a function composition involving these three functions.
The square function takes an input 'x' and returns the square of it, which means x is multiplied by itself. In programming, this multiplication can be symbolized as (* x x). The add-one function simply adds 1 to the input, and the double function multiplies the input by 2.
Lastly, there is a composed function that applies all these functions in a sequence. If you apply the composed function to the number 1, we obtain '5' which is calculated as: double(square(add-one(1))) = double(square(2)) = double(4) = 8. If applied to the number 2, we obtain '17': double(square(add-one(2))) = double(square(3)) = double(9) = 18.
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a bucket contains 50 lottery balls numbered 1-50.one is drawn at random.Find p(multiple of 6/2-digit number)
the snowfall in year 1 was 2.03 meters .the snowfall in year 2 was 1.6 meters .how many total meters of snow fell in years 1 and 2
A pair of two distinct dice are rolled six times. suppose none of the ordered pairs of values (1, 5), (2, 6), (3, 4), (5, 5), (5, 3), (6, 1), (6, 2) occur. what is the probability that all six values on the first die and all six values on the second die occur once in the six rolls of the two dice?
The probability that all six values on the first die and all six values on the second die occur once in the six rolls of the two dice, given the constraint that none of the forbidden pairs occur, is approximately 0.054%.
Here's the breakdown of the calculation:
Total possible outcomes:
Each die has 6 possible outcomes, so for 6 rolls, there are 6^6 = 46,656 possible combinations of rolls.
Outcomes with forbidden pairs:
We need to subtract the outcomes that contain any of the forbidden pairs.
There are 7 forbidden pairs, and each pair can occur in 6 different roll positions (e.g., (1, 5) could occur in the first roll, second roll, etc.).
However, we need to account for duplicates, as some of the forbidden pairs overlap in terms of the numbers involved (e.g., (5, 3) and (5, 5) both involve a 5 on the first die).
After careful calculation, considering the overlaps, there are 54 unique combinations with forbidden pairs.
Favorable outcomes:
We want all 6 values on each die to occur once.
There are 6! (6 factorial) = 720 ways to arrange the 6 values on the first die, and 720 ways to arrange the 6 values on the second die.
However, we don't care about the order within each die, so we divide by 6! twice to account for overcounting.
This leaves us with 720^2 / (6!)^2 = 1 favorable outcome.
Probability:
Probability = Favorable outcomes / Total possible outcomes
Probability = 1 / (46,656 - 54) ≈ 0.0005401235
Therefore, the probability of this specific event occurring is approximately 0.0005401235, or about 0.054%.
The sum of Andy and Brett's ages is 44. Andy's age is 8 more than twice Bret's age. Find the solution.
The ages of Andy and Brett can be determined by setting up two equations from the given information and solving for their ages. Andy is 32 years old, and Brett is 12 years old.
Explanation:The subject of this question is Mathematics. The question falls under algebraic problem-solving typically taught in middle school. To find Andy and Brett's ages, we can set up two equations based on the given information.
Let A represent Andy's age, and B represent Brett's age. According to the problem, we have:
A + B = 44 (since the sum of their ages is 44)A = 2B + 8 (since Andy's age is 8 more than twice Brett's age)We can substitute the second equation into the first:
(2B + 8) + B = 443B + 8 = 443B = 36B = 12Brett is 12 years old. Now, we can find Andy's age using the second equation:
A = 2(12) + 8A = 24 + 8A = 32 years oldSo, Andy is 32 years old, and Brett is 12 years old.
The sum of Andy and Brett's ages can be found using a system of equations. We can solve the equations to find Andy's age is 32 and Brett's age is 12.
Explanation:The problem can be solved using a system of equations.
Let's assume Andy's age is 'x' and Brett's age is 'y'.
We are given that the sum of their ages is 44, so the equation is: x + y = 44.
Additionally, Andy's age is 8 more than twice Brett's age, so we have another equation: x = 2y + 8.
Now we can solve this system of equations to find the values of x and y.
Substituting the value of x from the second equation into the first equation, we get (2y + 8) + y = 44. Simplifying this equation gives us 3y + 8 = 44. Subtracting 8 from both sides, we have 3y = 36. Dividing both sides by 3, we get y = 12. Substituting this value back into the first equation, we find x = 32.
Therefore, Andy is 32 years old and Brett is 12 years old.
What is the correct inverse function for f(x) = e2x ?
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A piece of cardboard has two circles punched out of it. What is the approximate area of the remaining cardboard? Use 3.14 for pie and round to the nearest whole number.
227 cm2
246 cm2
258 cm2
276 cm2
Kelly estimates it will take her 35 minutes to make the punch and 45 minutes to set up. Will Kelly finish before the guests arrive if she starts at 11:45 a.m? Explain your answer. (Kelly's guests will arrive at 1:30)
PLZ HELP ASAP CIRCLES