21 identical blue, 15 identical black and 17 identical red. the lights are out and he is completely in the dark. how many socks must he take out to make 100 percent certain he has at least one pair of black socks?
Answers
The person would need to take out a minimum of 31 socks to make sure they have at least one pair of black socks.
To make 100 percent certain he has at least one pair of black socks, the person would need to take out a minimum of 31 socks. Here's how we can determine this:
1. The person wants to have at least one pair of black socks. This means they need to select two black socks from the pile.
2. To ensure they have at least two black socks, they need to assume the worst-case scenario, where they have already selected all the blue and red socks. In this scenario, the person would have taken out 21 blue socks and 17 red socks, which totals to 38 socks.
3. Since they need to have two black socks, they subtract 2 from the total number of socks they have already taken out (38 - 2 = 36).
4. Now, the person needs to add the 15 identical black socks they haven't taken out yet.
5. Therefore, the minimum number of socks the person must take out to make 100 percent certain they have at least one pair of black socks is 36 + 15 = 51.
So, the person would need to take out a minimum of 31 socks to make sure they have at least one pair of black socks.
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Related Questions
The prices of petrol in a British and an American
petrol station are shown below.
The conversion rate is $1 = £0.80
What is the price of 1 litre of petrol in the cheaper
petrol station?
Give your answer in pounds (£).
British petrol station
£13.20 for 12 litres
of petrol
American petrol station
$17 for 20 litres
of petrol
Answers
The price of 1 liter of petrol at the cheaper petrol station is £0.68.
What is the conversion rate?
Just dividing the number of conversions by the total number of ad interactions that can be linked to a conversion within the same time period yields the conversion rate. Your conversion rate would be 5%, for instance, if you had 50 conversions out of 1,000 interactions, as 50 divided by 1,000 equals 5%.
Here, we have
Given: The prices of petrol in a British and an American petrol station are shown below. The conversion rate is $1 = £0.80.
We have to find the price of 1 liter of petrol in the cheaper petrol station.
$1 = £0.80
= £13.20×($1/£0.80)
= $16.5
For British petrol station
12 liter of petrol = $16.5
1 liter = $16.5/12
1 liter = $1.375
For American petrol station
20 liters of petrol = $17
1 liter = $17/20
1 liter = $0.85
The price of cheaper petrol from American petrol stations = $0.85× (£0.80/$1)
= £0.68
Hence, the price of 1 liter of petrol at the cheaper petrol station is £0.68.
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WILL GIVE BRAINLIST!
The options in the select area are Add and subtract Multiply Addition and Subtraction properties of equality Descriptive Property
Answers
2. Subtract
3. Add
4. Subtraction properties
Brainlist please if it’s rite?
Rectangle A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-1, -6),A(−1,−6),A, left parenthesis, minus, 1, comma, minus, 6, right parenthesis, comma B(-1,7)B(−1,7)B, left parenthesis, minus, 1, comma, 7, right parenthesis, C(1, 7)C(1,7)C, left parenthesis, 1, comma, 7, right parenthesis, and D(1, -6)D(1,−6)D, left parenthesis, 1, comma, minus, 6, right parenthesis.
Given these coordinates, what is the length of side ABABA, B of this rectangle?
Answers
Answer:
13 units
Step-by-step explanation:
Points A(-1, -6) and B(-1, 7) both lie on the vertical line x=-1. That means the distance between them is the difference of their y-coordinates:
__
By -Ay = 7 -(-6) = 13
Segment AB is 13 units long.
heather, age 12, lives in the same household and her mother, uncle, and grandmother. who can qualify to claim heather as a dependent? who takes precedence?
Answers
Heather, age 12, lives in the same household as her mother, uncle, and grandmother. The mother can qualify to claim Heather as a dependent and takes precedence.
A dependent is an individual who is unable to support themselves financially and needs the support of another person or family. Dependents can be children under the age of 19 or full-time students under the age of 24 or adults who are unable to take care of themselves. Heather is 12 years old and does not support herself financially.
Therefore, her mother can qualify to claim Heather as a dependent since they live in the same household. The mother is responsible for providing a home for Heather, making sure she has food and clothing, and taking care of her. Heather's uncle and grandmother can also claim her as a dependent if they provide more than half of her financial support or pay for her expenses.
Heather's mother takes precedence over her uncle and grandmother in claiming Heather as a dependent. When more than one person is eligible to claim the same dependent, the person with the higher adjusted gross income (AGI) takes precedence.
Since Heather lives with her mother, her mother has the first right to claim her as a dependent.
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sophie is designing a new board game, and is trying to figure out all the possible outcomes. how many different possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, flips a coin, and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?
Answers
Answer:
48
Step-by-step explanation:
Since there are:
4 possibilities,
2 possibilities, and
6 possibilities
So the number of possible outcomes is:
4 × 2 × 6
= 48
measures of central tendency include all except: a. standard deviation b. median c. mean d. mode
Answers
The correct answer is (a) standard deviation. The measure of central tendency that is NOT included among the given options is the standard deviation (a).
Measures of central tendency are statistical measures that represent the central or average value of a dataset. They provide insight into the typical or central value around which the data tends to cluster. The three commonly used measures of central tendency are the mean, median, and mode.
a. Standard deviation is not a measure of central tendency. It is a measure of dispersion or variability in a dataset. It quantifies how spread out the data points are from the mean. Standard deviation provides information about the spread or scatter of the data rather than representing a central value.
b. Median is a measure of central tendency that represents the middle value in a dataset when the data points are arranged in ascending or descending order. It divides the data into two equal halves.
c. Mean is a measure of central tendency that represents the arithmetic average of a dataset. It is calculated by summing all the data points and dividing by the total number of observations.
d. Mode is a measure of central tendency that represents the most frequently occurring value or values in a dataset. It identifies the value(s) that appear(s) with the highest frequency.
Therefore, the standard deviation (a) is the measure of central tendency that is NOT included among the given options.
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A rectangle has area of 36 square units and width of 4. find it's length.
Answers
Answer:
9 units
Step-by-step explanation:
area = length × width
length = area / width
length = 36 units² / 4 units
length = 9 units
Question 5 Find the equation of the ellipse with the center (6,3), a focus at (3, 3), and a vertex at (11,3).
Answers
We can restrict the domain of f(x) to [0, +infinity) and obtain the inverse function as follows: f^(-1)(x) = sqrt(x^2 - 22), x >= 0
To find the inverse of the function f(x) = sqrt(22 + x^2), we can follow these steps:
Replace f(x) with y: y = sqrt(22 + x^2)
Solve for x: x = sqrt(y^2 - 22)
Interchange x and y: y = sqrt(x^2 - 22)
Solve for y: y = +/- sqrt(x^2 - 22)
However, since we are looking for a function that has a unique output for every input, we need to restrict the domain of the inverse function to ensure that it is one-to-one.
The function f(x) = sqrt(22 + x^2) is an even function, which means that f(-x) = f(x). This implies that the inverse function will also be even. Therefore, we can restrict the domain of f(x) to [0, +infinity) and obtain the inverse function as follows:
f^(-1)(x) = sqrt(x^2 - 22), x >= 0
Note that we have taken the positive square root to ensure that the output of the inverse function is always non-negative.
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can you anyone help me to answer 1.5 and 1.6 please using excel thanks for trying but this question is not answered fully can you show the graph for 1.6 and when you answer can you mark 1.5 and 1.6 I like the way you try please do agin
Task 1.4
Measurement of inspection time, from a large sample of outsourced components, gave the following distribution:
Time (seconds) 20 22 24 25 27 28 29 31
Number (individual data 2 ) 1 3 4 4 2 4 3 3
a. Calculate Product moment correlation coefficient
b. Determine the equation of the least squares regression line of the number of components on time.
c. Use equation of the least squares regression line to predict the number of components for an inspection time of 26 seconds.
Task 1.5
Your manager thinks that the inspection time should be the same for all outsourced components. Using the data
provided test (at the 5% significance level) this hypothesis and indicate whether there is a correlation or not.
Task 1.6
Your manager has asked you to summarise, using appropriate software, the statistical data you have been
investigating in a method that can be understood by non-technical colleagues.
Answers
Task 1.4:
a. To calculate the product moment correlation coefficient, we need to use the formula:
r = Σ((X - x)(Y - y)) / √(Σ(X - x)² * Σ(Y - y)²)
Where X and Y represent the variables "Time" and "Number," x and y represent their respective means, and Σ denotes summation.
Using the given data, we can calculate:
x = (20 + 22 + 24 + 25 + 27 + 28 + 29 + 31) / 8 = 26.5
y = (1 + 3 + 4 + 4 + 2 + 4 + 3 + 3) / 8 = 3
Now, calculating the product moment correlation coefficient:
r = ((20 - 26.5)(1 - 3) + (22 - 26.5)(3 - 3) + ... + (31 - 26.5)(3 - 3)) / √((20 - 26.5)² + (22 - 26.5)² + ... + (31 - 26.5)²) = -0.0606
Therefore, the product moment correlation coefficient is approximately -0.0606.
b. The equation of the least squares regression line can be found using the formulas:
b = r * (Sy / Sx)
a = y - b * x
Where b represents the slope, a represents the intercept, and Sy and Sx represent the standard deviations of Y and X, respectively.
Given that Sy = 1.286, Sx = 3.286, and using the previously calculated r, x, and y, we can calculate:
b = -0.0606 * (1.286 / 3.286) ≈ -0.0237
a = 3 - (-0.0237 * 26.5) ≈ 3.628
Therefore, the equation of the least squares regression line is:
Number = 3.628 - 0.0237 * Time
c. To predict the number of components for an inspection time of 26 seconds, we substitute the time value into the regression equation:
Number = 3.628 - 0.0237 * 26 ≈ 3.02
Hence, the predicted number of components for an inspection time of 26 seconds is approximately 3.02.
Task 1.5:
To test the hypothesis that the inspection time should be the same for all outsourced components, we can use a hypothesis test. The null hypothesis (H0) assumes no correlation between the variables, and the alternative hypothesis (H1) assumes a correlation exists.
Using the data provided, we can perform a correlation test, such as Pearson's correlation test, at the 5% significance level. If the p-value is less than 0.05, we reject the null hypothesis and conclude that there is a correlation.
Task 1.6:
To summarize the statistical data in a way that can be understood by non-technical colleagues, appropriate software, such as Microsoft Excel, can be used to create visualizations. For example, a scatter plot can be created to show the relationship between the inspection time and the number of components.
The regression line can also be displayed on the plot to indicate the trend. Additionally, summary statistics such as mean, standard deviation, and correlation coefficient can be provided in a clear and concise manner.
Using charts and visualizations helps to present the data in an easily understandable format,
allowing non-technical colleagues to grasp the relationship between variables and draw meaningful insights.
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The difference when 3 and 3/4 is subtracted from -3 and 3/4 is
Answers
7.5 or 7 1/2 or 15/2
explanation:3 3/4 - -3 3/4 = 15/2
have great day… OR DIE BY MY BLADE <3 ^-^
Three cylinders have a height of 8cm. Cylinder 1 has a radius of 1cm. Cylinder 2 has a radius of 2cm. Cylinder 3 has a radius of 3cm. Find the volume of each cylinder.
Answers
Answer:
Volume of Cylinder 1 = π×r×r×h
= 22÷7×1×1×8
= 25.13cm
Volume of Cylinder 1 = π×r×r×h
= 22÷7×2×2×8
= 100.53cm
Volume of Cylinder 1 = π×r×r×h
= 22÷7×3×3×8
= 226.19cm
What would be the solution to the system of equations: y= -x + 4 y= 3x
Answers
Answer:
Step-by-step explanation:
The value of y is given in equation 2
Putting value of y = 3x in equation 1
Y = - x + 4
3x = - x + 4
Bringing like terms on one side
3x + x = 4
4x = 4
x = 4/4 = 1
Now putting value of x = 1 in equation 2
Y = 3x
Y = 3(1) = 3
Help me please :( thank you
Answers
Answer:
A
Step-by-step explanation:
A
Step by step explanation
can someone pretty pleaseee find the volume?
Answers
Answer: Your answer is 64 m³
Hope it helped :D
answer pleaseeeeeeeeeeeeeee
Answers
Answer:
A. Square
Step-by-step explanation:
Hope this helps!
Please mark brainliest! Thanks!
does anyone know where i can get all the answers to the Holt, Rineheart and Winston geometry text book?
Answers
Answer:
page number?
Step-by-step explanation:
If xy = 13 and both x and y are positive integers, then what is the sum of x + y?.
Answers
The sum of x + y is always equal to 14.
What is positive integers?
Positive integers are the numbers that we use to count: 1, 2, 3, 4, and so on. A collection of positive integers excludes numbers with a fractional element that is not equal to zero and negative numbers.
Since x and y are positive integers, we can find the possible values of x and y by finding the factors of 13. The positive integer factors of 13 are 1 and 13. Therefore, the possible pairs of x and y are (1, 13) and (13, 1).
The sum of the two values for x and y in each pair is 14.
So, The sum of x + y is always equal to 14.
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Find the sum of the first 10 terms of the following sequence. Round to the nearest hundredth if necessary. 3, 2,4/3
Answers
The sum of the first 10 terms of the following geometric sequence is 8.76.
What is a geometric sequence?
The sequence where each word is varied by another by a common ratio is known as a geometric progression or geometric sequence. When we add a constant (which is not zero) to the term before it, the sequence's subsequent term is created. The following symbols stand in for it: a, ar, ar2, ar3, ar4, etc.
Geometric Progression (GP), a form of sequence in mathematics, is a series in which each subsequent term is created by multiplying each preceding term by a set integer, known as a common ratio. A geometric sequence of integers that follows a pattern is another name for this development.
The terms are given: 3, 2,4/3
a = 3
r = 2/3
The sum of 1st 10 term will be= (a - ar\(r^{9}\))/1-r
= (3 - 3*(2/3)\(r^{9}\)) / (1-2/3)
= (3 - 512/6561)/ (1/3)
=2.9219*3
=8.76
Hence, the sum of the first 10 terms of the following sequence is 8.76.
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best estimate for 6 3/4 divided by 1 2/3
Answers
Answer:
4.05
Step-by-step explanation:
If TRAP is an isosceles trapezoid, what is the value of X?
6x"
(2x + 4)"
Answers
Answer:
The answer is 22.
Step-by-step explanation:
6x+2x+4=180
8x+4=180
8x=176
x=22
A(- 2, – 4), B(6, 1); 3 to 2
Answers
Answer:to find the coordinates of $P$ so that $AP$ to $PB$ is the given ratio, first look for the slope in rise over run form. Then, determine the ratio by thinking of it as dividing into segments.
Step-by-step explanation:
;)
Given a process to fill bottles of adhesive. The adhesive can be sold if the volume is 18.43 ounces ±0.28 ounces. The process average is found to be 18.55 ounces with a standard deviation of 0.13 ounces. 3. What is the Process Capability Ratio? 4. What is the Process Capability Index? 5. Which of the following most accurately describes the actual process quality level? a. currently better than 3σ Quality b. currently less than 3σ Quality and it will still not be capable of 3σ Quality if a shift in location occurs c. currently less than 3σ Quality, but a shift in location could increase the level to better than 3σ Quality The design specification for the length of a component is 5.700 " ±0.0378." Given the following values for the
x
ˉ
-chart that monitors the process:
x
ˉ
=5.700"LCL=5.673"UCL=5.727" 6. Does the process meet the traditional definition of a "Capable" process? 7. The size of one sigma is approximately inches. 8. The quality level of the process is sigma. [round to 1 significant digit past the decimal] 9. Does the process meet the definition of true 6 sigma quality? 10. A change to the process has resulted in new control chart values:
x
ˉ
=5.700"LCL=5.668
′′
UCL=5.732
′′
This change has increased/decreased/not afftected the quality of the process.
Answers
The size of one sigma is approximately 0.027 inches. The quality level of the process is 4 sigma. The process does not meet the definition of true 6 Sigma quality. The change to the process control chart values has increased the quality of the process.
The process capability ratio is calculated by dividing the tolerance range (2 * 0.28 ounces) by 6 times the process standard deviation (6 * 0.13 ounces), resulting in a value of 0.62. This ratio indicates that the process is capable of meeting the specifications.
The process capability index is calculated by dividing the tolerance range (2 * 0.28 ounces) by 6 times the standard deviation (6 * 0.13 ounces), resulting in a value of 0.92. This index suggests that the process is close to meeting the specifications.
Based on the given options, the actual process quality level is currently less than 3σ Quality, but a shift in location could increase it to better than 3σ Quality. This means that the process has room for improvement but has the potential to meet higher quality standards with adjustments.
For the length of a component, the process meets the traditional definition of a "Capable" process as the average falls within the control limits (LCL = 5.673", UCL = 5.727").
The size of one sigma is approximately the process standard deviation, which is 0.13 inches.
The quality level of the process can be calculated by subtracting the process average from the upper specification limit (USL) and dividing it by 3 times the process standard deviation. In this case, \(\frac{(USL - process average) }{(3 * standard deviation)}\) = \(\frac{(5.727 - 5.700) }{(3 * 0.13) }\) ≈ \(\frac{0.077}{0.39}\)≈ 0.20. Rounded to 1 significant digit past the decimal, the quality level is 0.2 sigma or 4 sigmas.
The process does not meet the definition of true 6 Sigma quality, as it falls short of the required quality level.
The change to the process control chart values has increased the quality of the process. The new values of x, LCL, and UCL are still within control limits, indicating an improvement in process stability.
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Given f(x) = √(x-3) , what is the positive value of f(12)?
Answers
Answer:
3
Step-by-step explanation:
Given
f(x) = \(\sqrt{(x-3)}\) , then
f(12) = \(\sqrt{12-3}\) = \(\sqrt{9}\) = ± 3
There are 2 values 3 and - 3
The positive value of f(12) is + 3
what type of slope does this line have
Answers
Answer:
yeah it is a positive slope
Step-by-step explanation:
HELP PLEASE!! you only have to do B
Answers
The values of a and b in the equations are 100 each
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =
The given equations are
a. 5x²/2 when x = 10
By substitution, a= 5(10)²/2
This implies that a=( 5 * 100)/2
a= 200/2 = 100
b = [2x²(x-5)]/10x
Substituting x=10 in the equation we have
b = 2*10²(10-5)]/[10(10)]
200(5)/100
b= 10000/100
Therefore b = 100
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$75, $97, $360, $84, $119, $100 Find the median
a. 45
b. 98.5
C. 97
d. 100
Answers
Answer:
C.97
Step-by-step explanation:
what is 1656 divided by 16
Answers
Answer:
103.5
Step-by-step explanation:
Answer:
103.5
Step-by-step explanation:
The question is,
→ what is 1656 divided by 16?
Forming as problem,
→ 1656 ÷ 16
Let's solve the problem,
→ 1656 ÷ 16
→ 103.5
Thus, the answer is 103.5.
Natalia paid $38.95 for three medium-sized pizzas and a salad. if Natalia paid $11.98 for the salad, which equation can be used to find how much did each pizza cost?
A. 3m + $11.98 = $38.95
B. 4m + $11.98 = $38.95
C. 3m + $38.95 = $11.98
D. none of these
PLEASE HELP!!
Answers
Answer:
A
Step-by-step explanation:
$38.95 for 3 m size pizzas and a salad
38.95 = 3m + 11.98
Answer:
3m+$11.98=$38.95
Step-by-step explanation:
$11.98=one salad ,
3m=The price of three medium-sized pizza &
$38.95=The price of three medium-sized pizza & a salad
Sove
V=
V2-
V=
I have to use the cylinder to find the answer
Answers
Answer:
1
Step-by-step explanation:
V2-V1=volume of dinosaur,v2 is 5 and v2 is 6
Which of the following equations does not represent a linear relation?
a) y = 4x^2 - 7
b) y = 3x + 45
c) 4x - 3y = 8
d) 10x = 5y - 2