The total number of points scored is given by the equation A = 23 points
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total points scored be represented as A
Now , the equation will be
Substituting the values in the equation , we get
A = 3x + 2y + z be equation (1)
where x = red team = 3 points
y = yellow team = 5 points
z = blue team = 2 points
So , A = 3 ( 3 ) + 2 ( 5 ) + 2
A = 9 + 10 + 2
A = 21 points
Hence , the equation is A = 21 points
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1. A sample of two printed circuit boards is selected without replacement from a batch. Describe the ordered) sample space for each of the following batches: (a) The batch contains 90 boards that are not defective, 8 boards with minor defects, and boards with major defects. (b) The batch contains 90 boards that are not defective, 8 boards with minor defects, and 1 board with major defects. 2. A wireless garage door opener has a code determined by the up or down setting of 12 switches. How many outcomes are in the sample space of possible codes?
The sample space of possible codes for the wireless garage door opener is 4096.
(a) The sample space for this batch of printed circuit boards would be 98 total boards, ordered such that the non-defective boards are first (90 boards), followed by minor defects (8 boards) and major defects (0 boards). The total number of ordered samples is given by the formula: nPr = n!/(n-r)! where n is the total number of boards in the batch and r is the number of boards selected from the batch. In this case, n = 98 and r = 2, making the total number of ordered samples 9703.
(b) The sample space for this batch of printed circuit boards would be 99 total boards, ordered such that the non-defective boards are first (90 boards), followed by minor defects (8 boards) and major defects (1 board). The total number of ordered samples is given by the formula: nPr = n!/(n-r)! where n is the total number of boards in the batch and r is the number of boards selected from the batch. In this case, n = 99 and r = 2, making the total number of ordered samples 9801.
For the wireless garage door opener, the code is determined by the up or down setting of 12 switches. This means that each switch can either be up or down for a total of 2 possible settings for each switch. The total number of possible codes is given by the formula [tex]2^12[/tex], which is equal to 4096. This is because each switch has 2 possible settings, and when multiplied by 12 switches, there are [tex]2^12[/tex] possible combinations. Therefore, the sample space of possible codes for the wireless garage door opener is 4096.
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Abdoulaye bought headphones online for $57. He used a coupon code to get a 40% discount. The website also applied a 15% processing fee to the price after the discount. How much was the discount, in dollars and cents?
The discount in the price of the headphones is of $17.67
How much was the discount?
If we apply a discount of D (D is the percentage in decimal form).
Then the new value (using A as the initial value) is:
A' = A*(1 - D)
If instead, we have an increase of I (also in decimal form) the new value is:
A' = A*(1 + D)
Here the original value is $57, and we have a discount of 0.4 and an increase of 0.15, then the new value will be:
A' = $57*(1 - 0.4)*(1 + 0.15) = $39.33
Then the discount is of:
$57 - $39.33 = $17.67
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The sum of 21 and 4, doubled
21
Verify that the indicated function is an explicit solution of thegiven differential equation. Assume an appropriate intervalI of the definition for each solution.
dy/dt + 20y = 24; y = 6/5 - (6/5)e-20t
To verify that the given function is an explicit solution of the given differential equation, we can plug it into the differential equation and see if it satisfies the equation.
Plugging in the given function, we get: dy/dt + 20y = 24; (6/5)e-20t - 6/5 = 24. Simplifying, we get 0 = 0, which is true. This means that the given function is an explicit solution of the differential equation, and it is valid on any interval I.
To find a function solution to a differential equation, you must first identify the type of equation you are dealing with. If it is a linear equation, you can use the method of integrating factors or the method of undetermined coefficients, depending on the equation.
If it is a nonlinear equation, you can use the method of separation of variables, the method of substitution, or the method of series solutions. Once you have identified the equation, you can use the appropriate method to find the solution.
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A square is inscribed in a circle. Then a smaller circle is inscribed in the square. Find the ratio of the area of the smaller circle to the area of the larger circle.
The ratio of the area of the smaller circle to the area of the larger circle is 1/2.
How to calculate the ratioRatio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
From the information, the square is inscribed in a circle and then a smaller circle is inscribed in the square.
Let the radius of smaller circle be 2r, then length of side of larger square is ✓2r and the length of side of smaller square is
The ratio of area of smaller square to larger square is:
= 4r² / 4(✓2r)²
= 1/2
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let ct number of children in indiana at the beginning of year t, and at number of adults in indiana at the beginning of year t. during any given year, 5% of all children
In Indiana become adults, and the number of children in Indiana increases by 2% as a result of births and immigration. If we let c0 = 6 million and a0 = 4 million.
Then the population of Indiana can be modeled by the following recursive equation:
ct = (1 + 0.02) * ct-1 + 0.05 * at-1
at = (1 - 0.05) * ct-1
This equation models the growth of the population of Indiana based on the number of children and adults in the previous year, taking into account the conversion of children into adults and the growth in the number of children.
The given information states that during any given year, 5% of all children become adults, while adults stay the same. Hence, the number of adults in year t can be determined as follows:
at = (1 + 0.05) * ct-1
Where ct-1 is the number of children in the previous year. This equation reflects that the number of adults in year t is the sum of the adults from the previous year plus 5% of the children in the previous year.
This model assumes that the growth in the number of adults is solely dependent on the children becoming adults, and no other factors, such as migration, birth, or death, are considered. This model is also based on the assumption that 5% of the children will become adults each year, which may not hold true in reality.
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leonard mccoy is a manager at a coffee shop, and he has to decide how many workers to hire. one worker can make 30 drinks that sell for $2.50 on average in one hour. a second worker can make another 25 drinks in one hour.
McCoy should hire two workers if their total profit is greater than the total profit of one worker.
To calculate how many workers McCoy should hire to make the most profit, he must first calculate the total number of drinks that can be made in one hour. One worker can make 30 drinks in an hour, and a second worker can make 25 drinks in an hour. This means that with two workers, 55 drinks can be made in one hour.
The next step is to calculate the total profit that can be made in one hour. This can be done using the formula Profit = Price x Quantity. Since the drinks sell for $2.50 on average and the total number of drinks made in one hour is 55, the total profit from one hour of work is $137.50.
This means that hiring two workers can make McCoy $137.50 in profit in one hour. To decide if this is the best option, McCoy should compare the total profit of two workers to the total profit of one worker. If the total profit of two workers is greater than the total profit of one worker, then McCoy should hire two workers. If the total profit of one worker is greater than the total profit of two workers, then McCoy should hire one worker.
McCoy should hire two workers if their total profit is greater than the total profit of one worker.
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Swim flippers are helpful for scuba diving. sam has 40 pairs of flippers that he rents out to customers. thirty percent are currently rented out how many pairs of flippers are currently rented out
try 13 pairs of flippers
It’s in between 10 and 15
i bet you cant solve this...
After hip surgery, your physical therapist tells you to slowly return to walking. The therapist suggests walking for 5 minutes each day for the first week and increasing that time by 5 minutes per day each week thereafter. How many weeks will it be before you are up to 45 minutes of walking per day?
10
11
9
13
Answer:
9
Step-by-step explanation:
figure it yourself...... .... ....
Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone. Which graph best represents this situation?
The graph will have a slope of 15 and is attached with the answer below.
What is a constant of proportionality?The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.
When y and x are two quantities that are directly proportional to one another, the proportionality constant k is defined as k=y/x.
Given that Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone.
The equation can be written as:-
y = kx
The value of k will be calculated as :-
60 = k x 5
k = 60 / 5
k = 12
The equation will be:-
y = 12x
The graph of the linear relation is attached with the answer below.
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find the probability that he lands it on the tenth try. while a generic rule for finding probability that he first lands the bottle on the floor
Without more information about the specific situation (such as the height from which the bottle is dropped, the surface on which it is dropped, and so on), a value for p cannot be determined.
The probability of landing a bottle on the floor on any given try is a fixed value, typically represented by "p".
The probability that he will land the bottle on the floor on the tenth try is then given by:
P(tenth attempt landing) = (1 - p)9 * p
where (1 - p)9 represents the probability that he fails to land the bottle on the floor in the first nine attempts, and p represents the probability that he lands the bottle on the floor on the tenth attempt.
However, without more information about the specific situation (such as the height from which the bottle is dropped, the surface on which it is dropped, and so on), a value for p cannot be determined.
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find the pattern 1,3,2,6,4,12
Answer: x3
Step-by-step explanation:
two supplementary angles are in the ratio of 2 to 3 the number of degrees in the smaller angle is what
the number of degrees in the smaller angle is 60 degrees.
The smaller angle is 60 degrees.
Let x = number of degrees in the smaller angle
Then the number of degrees in the larger angle = 3x
Given that the two angles are in the ratio of 2 to 3
2x = 3x
x = 60
Therefore, the number of degrees in the smaller angle is 60 degrees.
The two supplementary angles are supplementary angles because the sum of their angles is 180 degrees. This means that if we denote the number of degrees in the smaller angle as x, then the number of degrees in the larger angle must be 180-x. We know that their ratio is 2 to 3, which can be written as 2x = 3(180-x). Solving this equation gives us x = 60, so the number of degrees in the smaller angle is 60.
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PLEASE HELP NOW! GRADPOINT
WHICH SYSTEM IS THE SOLUTION OF THE GRAPH?
Option B is correct, y≥-4 and y≤-x+4 is the system of solutions of the given graph.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
From the given graph a line is passing at y=-4
and the shading is towards the origin so the inequality will be y≥-4.
The other line is passing through points (4,0) and (0,4)
Slope=4/-4=-1
So equation of line is y=-x+4
and the shading is y≤-x+4
Hence, option B is correct, y≥-4 and y≤-x+4 is the system of solutions of the given graph.
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graph Y+1=-2/3(x+1)
how do i graph this line. I would need two points to graph the line.
Answer:
y = -2/3x + y
y = -2/3x + 1
Step-by-step explanation:
y = -2/3x + b
when x = 0,
y = -2/3 * 0 + b
y = b
b = y
Solve the LP problem. If no optimal solution exists because there is no Solution Set, enter EMPTY. If no optimal solution exists because the region is unbounded, enter UNBOUNDED. Note that an unbounded region can still have an optimal solution while a bounded region is guaranteed to have optimal solutions. HINT [See Example 1.] Minimize c = x + 2y subject to x + 3y 2 28 5x + y 2 28 x > 0, y = 0. (X,Y)= ( ) +-/7.14 points My Notes Solve the LP problem. If no optimal solution exists because there is no Solution Set, enter EMPTY. If no optimal solution exists because the region is unbounded, enter UNBOUNDED. Note that an unbounded region can still have an optimal solution while a bounded region is guaranteed to have optimal solutions. HINT [See Example 1.] Maximize and minimize p = x + 2y subject to x + y28 x + y s 10 X-V58 x-y -8. Minimum: p = (x,y) =(
The optimal solution to the LP problem is (x,y) = (8,10). The objective function is minimized at this point, with a minimum value of 18.
We can solve this LP problem by using the graphical method.
First, we plot the constraints:
x + 3y <= 28 --> y <= -(1/3)x + 28/3
5x + y <= 28 --> y <= -5x + 28
x >= 0
y >= 0
Next, we find the feasible region formed by the intersection of these constraints. This region is a bounded polygon and is shown in blue in the figure below.
Finally, we find the point in the feasible region that minimizes the objective function c = x + 2y. We do this by plotting the objective function as a straight line with slope equal to 2 and y-intercept equal to 0. The line should pass through the feasible region and intersect it at the point with the minimum value of c.
From the figure, we can see that the line intersects the feasible region at the point (8, 10), which is the minimum value of c = x + 2y, with a minimum value of 18.
Therefore, the optimal solution to the LP problem is (x,y) = (8,10).
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4x+y=10 what is the answer
Answer:
Answer for X
[tex]4x + y = 10[/tex]
[tex](4x + y) + ( - y) = 10 - y[/tex]
[tex]4x = 10 - y[/tex]
[tex] \frac{4x}{4} = \frac{10 - y}{4} [/tex]
[tex]x = \frac{10 - y}{4} [/tex]
Answer for y
[tex]4x + y = 10[/tex]
[tex](4x + y) + ( - 4x) = 10 - 4x[/tex]
[tex]y = 10 - 4x[/tex]
For the following scores: 15,14,9,10,15,12,14,11,13. 14,13,14,12,14,13,13,12,11 Organize the scores in a frequency distribution table. If there are rows in the table below the minimum value of X , leave the unused rows at the bottom. Based on the frequencies, identify the shape of the distribution. The distribution is with of scores. Last question: The distribution is (negatively skewed, positively skewed, or roughly symmetrical) with (no distinct piles, two piles, or one pile) of scores.
At scores of 13 and 14, the two piles correspond to the two frequency local maxima.
Here's the frequency distribution table:
Score Frequency
9 1
10 1
11 3
12 4
13 5
14 5
15 2
The distribution has two piles of scores and is roughly symmetrical. This is due to the fact that the frequencies are concentrated in the center of the distribution and become less frequent as you move away from it.
The two piles correspond to the two frequency local maxima at scores of 13 and 14.
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Solve |x + 3 = -7. Please help
Answer:
B. No solution
Step-by-step explanation:
The output of an absolute value function can never be a negative number.
Absolute value is the distance between a number |x| and 0 and that distance will always be positive.
Answer: B: No solution
Step-by-step explanation:
18. Relative to a fixed origin O, the points A, B and C have position vectors given respectively by i+j, -2i+k, and 2 i + j+3k. (a) State the vector equation of line OC. (b) If the point P lies on the line OC such that PA PB has the minimum value, find the coordinates of P.
Answer:
Step-by-step explanation:
e.g. r = 2i – k + λ(4i – 7j + 5k).
which of the following schedules is recoverable, but does not avoid cascading rollback and is not serializable?
A number of schedule that is recoverable but does not avoid cascading rollback and is not serializable is a schedule that contains interleaved operations from two or more transactions that conflict with each other.
For example, Transaction A writes to a data item, then Transaction B reads the same data item, then Transaction A commits has number of , and finally Transaction B commits. In this case, the schedule is recoverable, since both transactions will eventually commit, but it is not serializable, since Transaction B has read a data item that was written by Transaction A after Transaction B began but before Transaction A committed. Furthermore, it does not avoid cascading rollback, since if Transaction A is rolled back, then Transaction B will also need to be rolled back.
which of the following schedules is recoverable, but does not avoid cascading rollback and is not serializable?
A. Schedule A: T1 {R1(A); W2(C)} T2 {R2(B); W1(A)}
B. Schedule B: T1 {R1(A); W1(A)} T2 {R2(B); W2(C)}
C. Schedule C: T1 {R1(A); W2(C)} T2 {R2(B); W2(C)}
D. Schedule D: T1 {R1(A); W2(C)} T2 {R2(B); W2(A)}
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I want 5 halves of a cupcake for myself 6 halves for my friend and 3 half for our other friend
Answer:
I don't really understand what you mean, maybe is this?
Step-by-step explanation:
5 halves of 14 = 5/14
6 halves of 14 = 6/14
3 halves of 14 = 3/14
Answer:
5+6=11+1=12
Step-by-step explanation:
what is 12 halves? 6
ABC + DEF = GHI
Using digits 1 through 9, find the greatest value of GHI, where each letter is represented by a different digit.
The greatest value of GHI that can be achieved using digits 1 through 9, where each letter is represented by a different digit, is 984.
The greatest value of GHI can be found using the following formula:
GHI = 987 - (ABC + DEF)
Using this formula, we can solve for GHI by substituting the values for ABC, DEF, and 987. For the highest value of GHI, we can set ABC and DEF to the lowest possible values, 1 and 2 respectively. This gives us the following equation:
GHI = 987 - (1 + 2)
GHI = 984
Therefore, the greatest value of GHI that can be achieved using digits 1 through 9, where each letter is represented by a different digit, is 984.
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Much of data analysis involves interpreting proportions lots and lots of related proportions. So let's recall the basics. It might help to start by reviewing the main rules from Data 8, with particular attention to what's being multiplied in the multiplication rule. (a) The Pew Research Foundation publishes the results of numerous surveys, one of which is about the trust that Americans have in groups such as the military, sci- entists, and elected officials to act in the public interest. A table in the article summarizes the results. Pick one of the options (1) or (2) to answer the question below; if you pick (1), tell us what p is. Then, explain your choice. The percent of surveyed U.S. adults who had a great deal of confidence in both scientists and religious leaders 1. is equal to p%. 2. cannot be found with the information in the article. Americans' trust in medical scientists, scientists, military relatively high; fewer trust journalists, business leaders, elected officials % of U.S. adults who say they have a (of) confidence in each of the following groups to act in the best interests of the public Great deal Fair amount Not too much None at all Medical scientists 43 46 9 2 Scientists 39 48 10 2 The military 38 45 13 4 Religious leaders 17 46 26 11 Journalists 9 39 33 19 Business leaders 5 43 41 11 Elected officials 3 33 49 14 Note: Respondents who did not give an answer are not shown. Source: Survey conducted April 20-26, 2020. PEW RESEARCH CENTER
The probability that an adult has a great deal of confidence in both scientists and religious leaders is equal to A x B = (43/100)(17/100) = 0.0721, or p = 7.21%.
I choose option 1. The percent of surveyed U.S. adults who had a great deal of confidence in both scientists and religious leaders is equal to p%.
To calculate p, we use the multiplication rule, which states that the probability of two independent events occurring together is equal to the product of their individual probabilities.
In this case, let A be the probability that an adult has a great deal of confidence in scientists, and let B be the probability that an adult has a great deal of confidence in religious leaders.
A = 43/100
B = 17/100
Therefore, the probability that an adult has a great deal of confidence in both scientists and religious leaders is equal to A x B = (43/100)(17/100) = 0.0721, or p = 7.21%.
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The solution to 7(b-1)/b ≤0 is:
0
O 0
O 0>b≥1
O. 0≥b>1
The solution to the given inequality is b ≤ 1.
What are Inequalities?Inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥.
Given inequality expression is,
7 (b - 1) / b ≤ 0
(7b - 7) / b ≤ 0
(7b / b) - (7 / b) ≤ 0
7 - 7/b ≤ 0
Adding 7/b on both sides,
7 ≤ 7/b
Multiplying b on both sides,
7b ≤ 7
b ≤ 1
Hence the value of b is b ≤ 1.
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Mr. Kenmar has
28 peppers to sell. He packages the peppers into
equal groups of 4. How many packages can
Mr. Kenmar make? Explain how you solved.
Answer:
Kenmar can make 7 packages of peppers, since 28 divided by 4 is 7. To solve, I divided 28 by 4 and got the answer of 7.
Step-by-step explanation:
Add -12+7 = what is the answer ?
Answer:
-12 + 7 = -5
Step-by-step explanation:
An example of this equation could be if you owe someone $12 and then receive $7 from them, your debt to them would be reduced to $5. Another example could be if you have 12 apples and someone gives you 7 apples, you would have a total of 19 apples.
Find the value of each variable in the parallelogram.
Answer:
x=9
y=15
Step-by-step explanation:
Since it is a parallelogram, there is a property of a parallelogram that says that opposite sides are congruent/equal. So x would equal to 9 and y is equal to 15
Answer:
Step-by-step explanation:
X = 9
Y = 15
will give brainliest
what is x if 3x+4=19
3x + 4 = 19
3x = 19-4
3x = 15
[tex]x = \frac{15}{3} \\ [/tex]
x = 5