A pot of soup, currently 74°C above room temperature, is left out to cool. If that temperature
difference decreases by 5% per minute, then what will the difference be in 14 minutes?
If necessary, round your answer to the nearest tenth.
°C
Answers
Answer:36.1
Step-by-step explanation:
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Related Questions
Question 1 of 10
Identify the type of function represented by f x = 2 1/2
Answers
The function represented by the f(x) =[tex]2(\frac{1}{2})^x[/tex] is an exponential decay function
The function is
f(x) =[tex]2(\frac{1}{2})^x[/tex]
The function is defined as the expression that represents the relationship between one variable and another variable.
The function is in the form of
f(x) = a × [tex]b^x[/tex]
Such functions are called exponential function
Here
The value of a = 2
The value of b = 1/2
If the value of b > 1, the function is called exponential growth function.
If the value of b < 1, the function is called exponential decay function.
Here b < 1
Therefore it is exponential decay function
Hence, the function represented by the f(x) =[tex]2(\frac{1}{2})^x[/tex] is an exponential decay function
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At the beginning of the lesson, Jacob determined that there was a problem with the sail length measurements of 7.5 meters, 4.8 meters, and 2.5 meters. Explain how Jacob was able to determine there was a problem with the specifications of the triangular sail.
Answers
Answer:
Jacob was able to determine there was a problem with the specifications of the triangular sail because of the Pythagorean theorem.
Step-by-step explanation:
Assume the triangular sail is a right triangle.
The Pythagorean theorem says: [tex]A^{2} + B^{2} = C^{2}[/tex]
If A = 4.8, B = 2.5, and C = 7.5, then [tex]4.8^{2} + 2.5^{2} = 7.5^{2}[/tex].
[tex]4.8^{2} + 2.5^{2} = 23.04 + 6.25 = 29.29[/tex]
[tex]7.5^{2} = 56.25[/tex]
In conclusion, [tex]29.29 \neq 56.25[/tex], so there is a problem with the sail.
Determine the intercepts of the line
x int
y int
Answers
Answer:
Y-int = -45, X-int =-11.25
Step-by-step explanation:
Please read this before moving on :)
An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+b, where m is slope and b is the y-intercept.
We know that equation of a line is y=mx+b. To find the value of the x-intercept of the line we simply need to put the value of the y as 0.
Using the Slope Equation : Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
1 - Finding the Slope
2 points; (0,-40), (-10,0)
0-(-40)/(-10)-0 = 40/-10 = -4
2 - Y-INTY=MX+B
Y=MX+(-45)
Y=MX-45
Y-int = -45
3 - X-INTY=MX+B
0=(-4)x+-45
45=-4x
X-int =-11.25
Lola received $522.50 when she cashed her paycheck. Why is this important to us?
Because you can also cash a check at a bank if you have an account there.
If you have a checking account, you can write and mail a check to pay your bills. The bank will withdraw the money from your account.
As long as you have enough money in your account (as much or more than what you're trying to cash), you can cash a check and get money back immediately.
You can deposit money into a savings account. A savings account is a good way to save your money and earn money called interest.
Banks also offer electronic services. You can use these services even when the bank is closed.
Some banks have more than one branch or office. Use the branch closest to you if you are in a different town or state. All branches will have access to your account information.
Monica cashed her paycheck at Ready Cash. The fee at Ready Cash to cash a check is 10% of the amount of the check. Her paycheck was $538. how much was the fee for Monica to cash her paycheck
Answers
Answer:
$53.8.
Step-by-step explanation:
10% of $538 is like saying 538 times .10. After you multiply, you get $53.8 as the fee that Monica had to pay.
if the same data are analyzed using a one-way anova and the randomized block design, the sums-of-square between groups (ssb) is:
Answers
Using One way ANOVA and Randomized block design, the sum of squares between groups (ssb) is equal to the sum of sum of sum of explantary variable A's sum of squares and errors sum of square.
Statistics uses one-way ANOVA to compare the means of three or more independent groups to determine if there is a statistically significant difference between the corresponding population means. It is constructed using the sum of squares measure of total variability used in the numerator of the standard deviation, subtracting the mean, squaring the difference, and adding all observations to obtain the total variability Generate a scale. For multiple groups, we focus on decomposing this total variability (total sum of squares) into the variability between means (the sum of squares of the explanatory variable A) and the variability of the residuals or errors (the error sum of squares).
SSTotal = sum of squares = ∑( yᵢ - Y )²
Total variation is assessed by the total mean (the estimated mean of all observations, available from mean-only models).
SSA = Sum of Squares of Explanatory Variable A
Also called treatment, regression, or model sum of squares. ∑∑(yᵢⱼ - Y' )²
SSE = error (residual) sum of squares
Variation of response around group mean.
Also called the sum of squared residuals.
SSE = ∑∑( Y - Y')²
The total sum of squares is always equal to the sum of the sum of the squares of the explanatory variable A and the sum of the squared errors, SST (total) = SSA + SSE. This equation means that if SSA increases, SSE must decrease if SSTotal remains the same. This result is called the sum of squares decomposition formula.
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if a seed is planted, it has a 95% chance of growing into a healthy plant. if 9 seeds are planted, what is the probability that exactly 3 don't grow?
Answers
If 9 seeds are planted, what is the probability that exactly 3 don't grow will be 1/5832000 as 5% chance are there that plant will not grow.
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
Here,
The chances of seed to be not growing is 1–0.95 =0.05.
For 3 seeds not to grow being simultaneous occurring events have the probability = 0.05×0.05x0.05=0.000125
As 9 seeds being planted the probability of selecting 1 out of 9 is (1/9).
So for 3 mutual occurring case is (1/9)×(1/9)x(1/9)= 1/729
So the probability will be (1/729)×1/8000=1/58,32,000
The likelihood that exactly 3 seeds out of 9 will not germinate is 1/5832000, or 5%, so there is a chance that the plant won't grow.
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Bert keeps honeybees on his farm. When he first started he used a six frame beehive that held 40 pounds of honey. now he uses a 30 frame beehive. It has the same ratios of frames to honey as a smaller beehive.
How much honey does Bert’s new beehive hold?
Answers
If now he uses a 30 frame beehive. It has the same ratios of frames to honey as a smaller beehive. The amount of honey that Bert’s new beehive hold is 200.
How to find the number of honey?Given data:
Number of frame beehive = 6
Pound of honey = 40
Current Frame beehive = 30
First step is to formulate an equation and then use the formulated equation to find the number of honey
40 × 30 ÷ 6
Hence,
40 × 5
= 200 honey
Therefore the number of honey is 200.
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At the 2004 athens olympics, the ration of canadas gold medals to greeces gold medals was 1:2. together,canada and greece won. 9 gold medals.how many did canada and greece win
Answers
The total number of medals won by Canada is 3 and Greece's 6,
Here we have to find the number of medals won by Canada and Greece.
The ratio of medals won by Canada and Greece is 1: 2.
The total number of medals won = is 9
The common number is x.
Medal won by Canada = x
Medal won by Greece = 2x
So we get the equation:
x + 2x = 9
3x = 9
x = 3
So the total medal won by Canada = 3
The total medal won by Greece = 2 × 3= 6
Therefore the number of medals won by Canada and Greece is 3 and 6 respectively.
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an important issue facing americans is the large number of medical malpractice lawsuits and the expenses that they generate. in a study of 1228 randomly selected medical malpractice lawsuits, it is found that 856 of them were later dropped or dismissed (based on data from the physician insurers association of america). construct a 99% confidence interval estimate of the proportion of medical malpractice lawsuits that are dropped or dismissed.
Answers
About [0.7479, 0.8091] of medical malpractice cases are abandoned or dismissed, according to the estimate with a 95% confidence level.
A confidence interval is a method for estimating a population parameter, such as the population proportion, at a given level of confidence, using the sample statistic, such as the sample proportion, and the confidence coefficient, such as the critical value.
arbitrary sample size, n = 1228
number of those who were dropped or dismissed, x = 856
The sample percentage of later discarded or dropped, p = 956 / 1228 ≅ 0.7785
Level of confidence = 0.99
Level of significance α = 0.01
The population proportion's 99% confidence interval estimate is calculated as follows:
p ± [tex]z_{a/2}[/tex] * [tex]\sqrt\frac{p (1 - p)}{n}[/tex]
Using the Excel function or the z-distribution table for calculation
[tex]z_{a/2} = z_{0.01/2} = z_{0.005}[/tex]
=NORMSINV(0.05)
[tex]z_{0.01/2}[/tex] ≅ ±2.58
The interval's computation is as follows:
0.7785 ± 2.58 * [tex]\sqrt\frac{0.7785 (1 - 0.7785)}{1228}[/tex]
= 0.7785 ± 2.58 * 0.0118
= = 0.7785 ± 0.0306
(0.7479, 0.8091)
As a result, the estimate of the proportion of medical malpractice claims that are withdrawn or dismissed at a 99 percent confidence interval is roughly [0.7479, 0.8091].
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Which equation represents this sentence?
Half the difference of a number and 5 is−2.
Responses
12(5−x)=−2
1 half left parenthesis 5 minus x right parenthesis equals negative 2
12x−5=−2
1 half x minus 5 equals negative 2
12(x−5)=−2
1 half left parenthesis x minus 5 right parenthesis equals negative 2
5−12x=−2
Answers
The equation which represents the sentence given; Half the difference of a number and 5 is−2 is; 1/2(x - 5) = -2; 1 half left parenthesis x minus 5 right parenthesis equals negative 2.
Word phrases from Algebraic expressions.It follows from the task content that the expression which best represents the given algebraic expression is to be determined.
First, the difference of a number, x and t is represented as; (x - 5).
Hence, the word phrase; Half the difference of a number and 5; is best represented algebraically as; 1/2(x - 5).
Ultimately, the whole word phrase; Half the difference of a number and 5 is -2 can best be represented as; 1/2(x - 5) = -2.
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Help needed with this equation thx
Answers
The geometric system has a length of f = 4 cm and a length of g = 6 cm.
How to find the missing lengths of a geometric systemHerein we find a geometric system formed by two rectangles, the rectangle ABCD has an area of 60 square centimeters and the rectangle APQD has an area of 24 square centimeters. The area of a rectangle is equal to the product of the lengths of its base (b) and its height (h), both in centimeters.
First, describe the area formulas for the rectangles ABCD and APQD, both in square centimeters:
Rectangle ABCD
(g + 9) · f = 60 (1)
Rectangle APQD
g · f = 24 (2)
Where:
g - Length of the side QD, in centimeters. f - Length of the side BC, in centimeters.Second, use distributive property in (1):
By (1):
g · f + 9 · f = 60
Third, use substitution by (2) on (1) and determine the value of f:
(2) in (1):
24 + 9 · f = 60
9 · f = 36
f = 4
Fourth, determine the value of g:
By (2):
g = 24 / f
g = 24 / 4
g = 6
The lengths of f and g are 4 and 6 centimeters, respectively.
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Guys, what is the answer to 5-x=12?
Answers
Answer:
x= -7
Step-by-step explanation:
here you go.....
please mark brainliest
Solve the inequality for x. Show each step of the solution for full credit. (3 points - 2 points showing work, 1 point correct answer)
7x+1/2 >4
Answers
The value of x in the Inequality (7x + 1)/2> 4 is x > 1.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. They are denoted by the symbols ≥ < > ≤.
In this case, the inequality is given as:
(7x + 1)/2> 4
Cross multiply
7x + 1 > 2 × 4
7x + 1 > 8
Collect like terms
7x > 8 - 1
7x > 7
Divide
x > 7/7
x > 1
Therefore, x > 1.
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the number of homes sold by a realtor during a month has the following probability distribution: number sold probability 0 0.20 1 0.40 2 0.40 what is the probability that the realtor sells no more than one house during a month?
Answers
The probability that the retailer sells no more than one house in a month is 0.60.
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes and how likely they are to happen. The analysis of events governed by probability is called statistics.
The given is a probability distribution. The probability density function or PDF of the probability is defined for the random variable x, where x ranges from 0 less than or equal to x less than or equal to 2 ie the range of x is from 0 to 2 with 0 and 2 inclusive.
x : 0 1 2
p(x): 0.20 0.40 0.40
The probability that the retailer sells no more than one house in a month is given by
P(x less than or equal to one) = P(0) + P(1)
=0.20 + 0.40 = 0.60.
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
there is probably a way to do this w/o calculus, but I cheated and used that.
A = Length * Width
A = x * ( 650 -2x)
A = 650x -2[tex]x^{2}[/tex]
d/dx ( A = 650x -2[tex]x^{2}[/tex])
0=650 -4x
4x = 650
x = 135 m
A= 650*135 -2*[tex]135^{2}[/tex]
A = 51,300 [tex]m^{2}[/tex]
HLP ME PLSSSS ITS DUE IN 5 MNS
Answers
Answer:
It's either 1:3 or 1:3
Step-by-step explanation:
A scale factor is times, calculate and, a reinduced PEMDAS
Container A has 600 mL of water and is being filled at a rate of 12 mL per minute. Container B has 1500 mL of water and is being drained at 12 mL per minute. How many minutes, m, will it take for the two containers to have the same amount of water?
Answers
Answer:
It will take 37.5 minutes for both containers to reach the same amount of water which is 1050 mL
Step-by-step explanation:
1500 - (12 × 37.5) = 1050
600 + (12 × 37.5) = 1050
a toy manufacturer inspects boxes of toys before shipment. each box contains 17 toys. the inspection procedure consists of randomly selecting three toys from the box. if one or more of the toys are defective, the box is not shipped. suppose that a given box has two defective toys. what is the probability that it will be shipped? a) 0.1765 b) 0.6691 c) 0.3309 d) 0.0221 e) 0.4341 f) none of the above.
Answers
The probability that it toys will be shipped is option b ) 0.6691 .
Hypergeometric Distribution will be used
P ( X = x ) = h ( x , N , n , k ) = [tex]C_{k,x}[/tex][tex]C_{N-k,n-x}[/tex] / [tex]C_{N,n}[/tex]
[tex]C_{n,x}[/tex] = n! / [ x! ( n - x ) !
According to question,
N = 17
k = 2
n = 3
To find : P ( X = 0 ) ,
P ( X = 0 ) = h ( 0 , 17 , 3 , 2 )
= [tex]C_{2,0} C_{15,3} / C_{17,3}[/tex]
= 455 / 680
= 0.6691
So there is 66.91 % probability that toys will be shipped .
Hence , option b ) 0.6691 is the correct answer .
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18=0.125 . Which calculation is NOT a way to find 58?
Answers
The calculation that is not a way to find a fraction of 5/8 is:
1 - 0.125.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y, as follows:
Fraction = x/y.
The terms are classified as follows:
The top term x is the numerator of the fraction.The bottom term y is the denominator of the fraction.Hence the numeric value of the fraction 5/8 presented in this problem is given as follows:
5/8 = 0.625.
The calculation that is not a way to find the fraction of 5/8 is the only expression that has a different value than 5/8.
The expression with a different value is of:
1 - 0.125 = 0.875.
As the value of 0.875 is different than the value of 0.625 equivalent to the fraction of 5/8.
Missing InformationThe complete problem is given by the image at the end of the answer.
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Answer two questions about Equations A and B:
A. 3(x+2) = 18
B. x+2=6
1) How can we get Equation B from Equation A?
Choose 1 answer:
Add/subtract the same quantity to/from both sides
Add/subtract a quantity to/from only one side
Multiply/divide both sides by the same non-zero constant
Multiply/divide only one side by a non-zero constant
2) Based on the previous answer, are the equations equivalent? In other words, do they have
the same solution?
Answers
Part A
We can get equation B from A by Multiply/divide both sides by the same non-zero constant.
Part B
The two equations are equivalent, they have same solution
The equations are
3(x+2) = 18
x + 2 = 6
Part A
Consider the first equation
3(x + 2) = 18
Divide both side of the equation by 3
3(x+2) / 2 = 18/3
x + 2 = 6
We will get equation B from equation A, if we divide both side of the equation by 3
Part 2
The first equation
3(x+2) = 18
x + 2 = 6
x = 6-2
x = 4
The second equation
x+2 = 6
x = 6-2
x = 4
Both the equation has same solution
Hence,
Part A
We can get equation B from A by Multiply/divide both sides by the same non-zero constant.
Part B
The two equations are equivalent, they have same solution
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9. (-1kw-1z-2)-3
- (-1)-³³₂
11, 9-648
h2
These are the questions here is the photo
Answers
Using the simplification of power, [tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=-64w^{-3}z^{6}[/tex] and [tex]\frac{g^{-6}h^8}{h^2}=g^{-6}h^{6}[/tex].
In the given question,
We have to simplify the given expression.
Before simplifying the expression we first learn that the negative power can be positive after changing their position from numerator to denominator.
We use the method of adding the power of expression to solve the expression.
(1) The given expression is [tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}[/tex].
We firstly simplifying the power after the bracket by multiplying the power to each variable.
[tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=(-\frac{1}{4})^{-3}(w^{-1})^{-3}(z^{-2})^{-3}[/tex]
Simplifying the expression.
[tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=(-1)^{-3}(\frac{1}{4})^{-3}(w^{-3})(z^{6})[/tex]
Now we make the power positive by changing their position
[tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=(-1){4}^{3}(w^{-3})(z^{6})[/tex]
Simplifying
[tex](-\frac{1}{4}w^{-1}z^{-2})^{-3}=-64w^{-3}z^{6}[/tex]
(2) The given expression is [tex]\frac{g^{-6}h^8}{h^2}[/tex].
Simplifying the expression.
As we know that the power with same base get subtracted when they are in division.
So [tex]\frac{g^{-6}h^8}{h^2}=g^{-6}h^{8-2}[/tex]
[tex]\frac{g^{-6}h^8}{h^2}=g^{-6}h^{6}[/tex]
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pls hurry and thanks 40 pts
Answers
The angle of x in the triangle is 75 degrees.
How to find the angles of triangle?The sum of angles in a triangle is 180 degrees. The triangle is a an isosceles triangle.
An isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure.
Therefore, the base angles are equal.
The third angle of the triangle is 30 degrees(vertically opposite angles)
Hence,
x + x + 30 = 180
2x + 30 = 180
2x = 180 - 30
2x = 150
x = 150 / 2
x = 75 degrees
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the data set has 80 observations and has mean 30 and standard deviation 5. approximately how many observations lie between 20 and 40?
Answers
A minimum of 71 observations must fall inside the interval (20, 40).
Define Chebyshev's theorem.It is true that Chebyshev's Theorem holds true for all conceivable data sets. The minimal percentage of measurements that must fall within one, two, or more standard deviations of the mean is described. The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous other probability distributions can be applied with this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem.
Given,
The data set has 80 observations and has mean 30 and standard deviation 5.
Chebyshev's theorem states that for each data set, the proportion (or percentage) of values that lie within k standard deviations of the mean (that is, the interval (x -ks , x +ks) is at least 1-1/k² . where k > 1.
x = 30
s = 5
Three standard deviations are added to and subtracted from the mean to get the interval (10, 40).
(30 - 3.5, 30 + 3.5) = (10, 40)
According to Chebyshev's Theorem, this interval contains at least 1 -1/3² = 8/9 of the data. Given that 8/9 of 80 is 71.11, the interval must include at least 71.11 observations. However, one cannot make a fractional observation, so we draw the conclusion that the interval must contain at least 71 observations.
A minimum of 71 observations must fall inside the interval (20, 40).
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If B=x^{2}+ 2 and C=2+2x^{2}find an expression that equals 2B+C in standard form.
Answers
The expression that equals 2B+C in standard form is 4x² + 6
How to determine the expression?From the question, we have the following parameters that can be used in our computation:
B = x² + 2
C = 2 + 2x²
The expression to calculate is given as
2B + C
Substitute the known values in the above equation, so, we have the following representation
2B + C = 2x² + 4 + 2 + 2x²
Evaluate the like terms
2B + C = 4x² + 6
Hence, the expression is 4x² + 6
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The area of a rectangle is 110 square units. It’s length measures 11 units. Find the length of diagonal
Answers
The diagonal of the rectangle is 14.87 units.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Area of rectangle = 110 square units
Length = 11 units
Area of a rectangle = Length x Wide.
110 square units = Length x Wide
110 = 11 x Wide
Wide = 110/11
Wide = 10
Now,
The diagonal of a rectangle.
Using the Pythagorean theorem we get,
Diagonal² = Wide² + Length²
Diagonal² = 10² + 11²
Diagonal² = 100 + 121
Diagonal² = 221
Diagonal = √221
Diagonal = 14.87 units.
Thus,
The diagonal of the rectangle is 14.87 units.
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1. Of the three lines in the graph, one has slope 1, one has slope 2, and one has slope
Label each line with its slope. HELP IM REALLY STUCK ON THIS
Answers
rove by induction that 3n < n! for all integers n greater than 6. state whether you are using regular or strong induction
Answers
We can use both regular and strong induction.
The Fundamentals of Inductive Mathematics (i.e., Regular Induction). If any of the following statements involving a positive number, n, are accurate: The claim is true if and only if n is 1. If the assertion is true for n=k, then it must also be true for n=k+1(x).
In a variation of induction known as strong induction, we make the assumption that the assertion is true for all values before k. This provides us with more information with which to work.
Regular Induction form
N>6 = n=7 in basic case
3n = 37 = 2187
N! = 7! = 5040
For n= 7 3n<n! is true
Induction hypothesis
Let for n= k and k>6
Assume 3k<k! is true
We prove that for k = k+1 the assumption holds true then the assumption must be true for k
K = k+1
3k+1 < (k+1)!
3k. 3 < (k+1) k!
3k < (k+1)/3.k!
For k>6
(k+1)/3 >1 and let (k+1)/3 = p
3k < P.k!
But we assumed that 3k < k! for k > 6 then 3k must be less than p.k1 since P>1
Therefore 3k<k! for k>6
3n < n! for all integers n greater than 6.
Therefore we can use both regular and strong induction
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Graph the function f(x)=−14x−2.
Use the line tool and select two points to graph.
Answers
The slope is negative so the function is decreasing.
Let’s find the intersection points of the function:
0=-14x-2
14x=-2
X≈-0.142
(-0.142,0)
Y=-14*0-2
Y=2
(0,2)
Here is the answer:
the numbers 1, 2, 3, 4, 5 are to be arranged in a circle. an arrangement is badbad if it is not true that for every nn from 11 to 1515 one can find a subset of the numbers that appear consecutively on the circle that sum to nn arrangements that differ only by a rotation or a reflection are considered the same. how many different bad arrangements are there?
Answers
There are 2 different bad arrangements possible.
We see that there are 5! absolute ways of orchestrating the numbers. Nonetheless, we can constantly turn these numbers so that, for instance, the number 1 is dependably at the highest point of the circle. Consequently, there are just 4! ways under turn, which is easy to drill down. We methodically list out every one of the 24 cases.
Presently, we should inspect assuming they fulfill the circumstances. We can see that by selecting each number, in turn, we can continuously acquire subsets with aggregates 1, 2, 3, 4, and 5. By picking the round trip, we can get 15. By selecting everything aside from 1, 2, 3, 4, and 5, we can get subsets with amounts of 10, 11, 12, 13, and 14.
This implies that we presently just have to check for 6, 7, 8, and 9. Be that as it may, whenever we have found a set adding to 6, we can pick all the other things and get a set adding to 9, and comparably for 7 and 8. Hence, we just have to check each case for whether we can acquire 6 or 7.
We observe that there are just 4 arrangements that fulfill these circumstances. In any case, each of these is an impression of another. We divide by 2 for these reflections to get the final answer of B = 2.
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a box contains tiles. each tile has certain properties: each tile is made of wood or plastic. each tile is red, yellow, or blue. each tile is a triangle, square, pentagon, or circle. there is exactly one tile for each combination of properties. for example, there is one red circle that is made of wood. steve chooses one tile, and ellen chooses a different tile. what is the probability that the two chosen tiles differ with respect to all three properties?
Answers
1/24 is the probability that the two chosen tiles differ with respect to all three properties
1/2 chance that the tiles materials will be different (wood or plastic). 1/3 chance exists that the tiles will have different colors (r, y or b) 1/4 chance where the tile shapes will change (t, s, p or c)the probability that all three attributes of the two tiles will be different.1/2 * 1/3 * 1/4 = 1/24 The probability of an event occurring is a measure of its likelihood. It assesses the likelihood of an event. P(E) = Number of Favourable Outcomes/Total Outcomes is the probability formula.
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