Answer:
A)
Step-by-step explanation:
n = -3
Output: (n - 2)
-3 - 2 = -5
It's A because it's the ONLY choice where the output is -5 when the input is -3
(n+7)(n+2)(3n-4) pls answer the question
Answer:
3x3+23x2+6x−56 it depends what type of answer they want like do they want you to simplify, if so that's the answer
3) How much does a customer pay for an article marked at $50.00 if a sales tax of 6% is charged?
(a) $44.00 (b)$47.00 (c)$53.00 (d)$56.00
Let A and B be arbitrary matrices for which the indicated sum is defined. Determine whether the statement below is true or false. Justify the answer. A ⊤
+B ⊤
=(A+B) ⊤
Choose the correct answer below. A. The statement is true. The transpose property states that (A+B) ⊤
=A ⊤
+B ⊤
. B. The statement is false. The transpose property states that (A+B) ⊤
=A ⊤
B ⊤
. C. The statement is true. The transpose property for matrices is the same as for algebraic exponents of real numbers. D. The statement is false. The transpose property is inapplicable here.
The correct answer is A. The statement is true. The transpose property states that (A+B)⊤ = A⊤ + B⊤.
The transpose of a matrix is obtained by interchanging its rows with columns. When adding two matrices, the sum is computed by adding the corresponding elements of the matrices.
Let's consider the transpose of (A+B). By definition, the (i, j)-th entry of (A+B)⊤ is equal to the (j, i)-th entry of (A+B). This means that the entry in the i-th row and j-th column of (A+B)⊤ corresponds to the entry in the j-th row and i-th column of (A+B).
Now, let's consider the matrices A⊤ and B⊤. The (i, j)-th entry of A⊤ + B⊤ is obtained by adding the (i, j)-th entries of A⊤ and B⊤. Since A⊤ has its rows and columns interchanged from A, the entry in the i-th row and j-th column of A⊤ corresponds to the entry in the j-th row and i-th column of A. Similarly, the entry in the i-th row and j-th column of B⊤ corresponds to the entry in the j-th row and i-th column of B.
Since the sum of the entries in the i-th row and j-th column of (A+B)⊤ and A⊤ + B⊤ are the same, we can conclude that (A+B)⊤ = A⊤ + B⊤.
Therefore, the statement A⊤ + B⊤ = (A+B)⊤ is true, and the transpose property holds for matrix addition.
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I need the reflection on this one
HI HELP ME PLEASEEE!’
We're given
(0, 144)
(1, 48)
(2, 16)
(3, 16/3)
\(f(x) = a*b^x\\144 = a*b^0\\144 = a\\\)
now that we know a, we can find b
\(f(x) = 144*b^x\\48 = 144*b\\b = \frac{48}{144}\\b = \frac{1}{3}\)
\(f(x) = 144*(\frac{1}{3})^x\)
In the figure below, points J, K, and L are the midpoints of the sides of AXYZ.
Suppose JK=38, X2=96, and YX=56.
Find the following lengths.
Answer:
28 ; 76 ; 38
Step-by-step explanation:
KL = \(\frac{XY}{2}\) = \(\frac{56}{2}\) = 28 units
YZ = 2 × JK = 38 × 2 = 76 units
LZ = 76/2 = 38 units
The lengths are: KL = 28 units, YZ = 76 units and LZ= 38 units.
What is Mid point theorem?The line segment in a triangle connecting the midpoint of two sides of the triangle is said to be parallel to its third side and is also half the length of the third side, according to the midpoint theorem.
Given:
J, K, and L are the midpoints of the sides of ΔXYZ.
JK=38, X2=96, and YX=56.
Now, using Mid point theorem
JK= 1/2 YZ
38 = 1/2 YZ
YZ= 2 x 38
YZ = 76 units.
and, KL= 1/2 YX
KL = 1/2(56)
KL= 28
LZ = 1/2 (YZ)
LZ = 1/2(76)
LZ = 38 units
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Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer. A used Car salesperson can be paid using two methods of commission. METHOD X uses straight commission 3.5% of the selling price of all vehicles sold. METHOD Y uses a fixed amount of £250 per week plus commission of 1.5% of the selling price of all vehicles sold. If the total selling price of the Cars sold in each week is on average £20,000, calculate which of the two methods of commission the salesperson would prefer.
The cost of one computer is £600 and the cost of one printer is £800.
Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.
Let the cost of a computer be x and the cost of a printer be y.
Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)
4x + 5y = 6000 ---------------------- (2)
Solving equations (1) and (2) simultaneously:x = 600y = 800
Therefore, the cost of a computer is £600 and the cost of a printer is £800..
:Therefore, the cost of one computer is £600 and the cost of one printer is £800.
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\( - 2 - 9 + 3\)
I don't understand
Answer:
- 8
Step-by-step explanation:
- 2 - 9 + 3
=> First rearrange the terms,
=> 3 - 2 - 9
=> 1 - 9
=> - 8
Student A can solve 75% of problems, student B can solve 70%. What is the probability that A or B can solve a problem chosen at random?
The probability that student A or B can solve a problem chosen at random is 0.95.
Probability is calculated by dividing the number of favourable outcomes by the number of possible outcomes.
Random: An event is referred to as random when it is not possible to predict it with certainty. The probability that either student A or B will be able to solve a problem chosen at random can be calculated as follows:
P(A or B) = P(A) + P(B) - P(A and B) where: P(A) = probability of A solving a problem = 0.75, P(B) = probability of B solving a problem = 0.7, P(A and B) = probability of both A and B solving a problem. Since A and B are independent, the probability of both solving the problem is:
P(A and B) = P(A) x P(B) = 0.75 x 0.7 = 0.525
Now, using the above formula: P(A or B) = P(A) + P(B) - P(A and B) = 0.75 + 0.7 - 0.525 = 0.925
Therefore, the probability that student A or B can solve a problem chosen at random is 0.95 (or 95%).
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Let the long-run profit function for a representative firm is given by π i
=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.
(a) The firm's output supply function is given by q = (p + 199) / 2.
(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.
(c) Each firm sells 70 computers in the long run.
To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:(39 - 0.009q) = (2q - 2) / q
Simplifying the equation, we find:
q = (p + 199) / 2
This represents the firm's output supply function.
To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:p = 39 - 0.009((p + 199) / 2)
Simplifying and solving for p, we get:
p ≈ $32.56
Substituting this price back into the output supply function, we find:
q = (32.56 + 199) / 2 ≈ 115.78
Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:
Number of firms = q / 70 ≈ 10
Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:70 * 10 = 700
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HELP ME SOMEONE PLEASEE
For a random sample of 60 overweight men, the mean of the number of pounds that they were overweight was 32. The standard deviation of the population is 3.9 pounds.The best point estimate of the mean is pounds.
The most accurate estimate of the population mean is 32 pounds, based on the sample data.
The best point estimate of the mean can be obtained by using the sample mean as an estimate for the population mean.
Given that the sample mean of the number of pounds that the 60 overweight men were overweight is 32, the best point estimate of the mean is also 32 pounds.
Therefore, the best point estimate of the mean is 32 pounds.
Mean: The term "mean" refers to a measure of central tendency. It is often referred to as the average of a set of numbers. The mean is calculated by adding up all the values in the set and dividing the sum by the total number of values.
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the probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random. complete parts (a) through (d).
The probabilities of different events related to the type B' blood in four randomly selected people from the United States are 0.000207, 0.0600, 0.400. The events in parts (a) and (b) are considered unusual.
The probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random of different scenarios are calculated.
The probability that all four have type B' blood is 0.000207, The probability that none of the four have type B' blood is 0.0600, The probability that at least one of the four has type B' blood is 0.400, The events in parts (a) and (b) can be considered unusual because their probabilities are less than or equal to 0.05.
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_____The given question is incomplete, the complete question is given below:
The probability that a person in the United States has type B' blood is 12 % Four unrelated people in the United States are selected at random Complete parts (a) through (d) The probability that all four have type B' blood is 000207 (Round to six decimal places as needed) (b) Find the probability that none of the four have type B' blood The probability that none of the four have type B' blood is 0600 (Round to three decimal places as needed) (c) Find the probability that at least one of the four has type B' blood The probability that at least one of the four has type B' blood is 400 (Round to three decimal places as needed) (d) Which of the events can be considered unusual? Explain Select all that apply OA The event in part (a) is unusual because its probability is less than or equal to 0.05 OB. The event in part (c) is unusual because its probability is less than or equal to 0.05 O C. None of these events are r uual O D. The event in part (b) is unusual because its probability is less than or equal to 0.05 Click to select your answer and then click Check Answer
A number cube is tossed 60 times.
Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8
Determine the experimental probability of landing on a number greater than 4.
17 over 60
18 over 60
24 over 60
42 over 60
The experimental probability of landing on a number greater than 4 is 18/60
How to determine the experimental probability?The experimental probability will be given by the number of times that the outcome was greater than 4 (so a 5 or a 6) over the total number of trials.
We can see that the total number of trials is 60, and we have:
The outcome 5 a total of 10 times.
The outomce 6 a total of 8 times.
Adding these values we will get 10 + 8 = 18
Then the experimental probability of a number greater than 4 is:
E = 18/60
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Please help fast!!!!!!
alecla runs the air conditioner in her home when it is hot outside. she uses the equation c = 0.01m to determine the cost, c, in dollars, to run the
air conditioner for m minutes.
according to the equation, what is the cost per minute of running alecia's air conditioner?
The cost per minute of running Alecia's air conditioner is $0.01.
The equation c = 0.01m represents a linear relationship between the cost, c, and the number of minutes, m, that Alecia runs her air conditioner. In this equation, 0.01 is the coefficient of m, which indicates the cost per minute.
To understand the cost per minute, let's consider an example. Suppose Alecia runs her air conditioner for 10 minutes. We can substitute this value into the equation to find the corresponding cost:
c = 0.01m
c = 0.01 * 10
c = 0.10
From this calculation, we see that running the air conditioner for 10 minutes would cost $0.10.
By examining different values of m, we can observe that for each additional minute the air conditioner is run, the cost increases by $0.01. This means that the cost per minute of running the air conditioner remains constant at $0.01.
In summary, according to the equation c = 0.01m, the cost per minute of running Alecia's air conditioner is $0.01. Regardless of the specific number of minutes, each minute of operation incurs a cost of $0.01.
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Which number is the greatest?
Select one:
10/3
7/2
9/4
17/8
Answer:
7/2
Step-by-step explanation:
Firstly lets put them all in common denominators (LCM) 3,2,4 and 8 re all divided by 24.
17/8 x 3/3 = 51/24
7/2 x 12/12 = 84/24
9/4 x 6/6=54/24
10/3 x 8/8= 80/24
Now lets see which one is greatest: 7/2 or 84/24
Hope this helps :D
Answer:
7/2
Step-by-step explanation:
10/3 = 3.333
7/2 = 3.500
9/4 = 2.250
17/8 = 2.125
a and b are positive integers and 7a+5b=49. Find the values of a and b.
a and b are positive integers and 23a+17b=320. Find the values of a and b.
please hel you can get 30 points
Solving a system of equations, it is found that the value of a is of -191.75 and the value of b is of 278.25.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the equations are:
7a + 5b = 49.23a + 17b = 320.Multiplying the first equations by 17 and the second by -5, we have that the system is:
119a + 85b = 833.-115a - 85b = -1600.Then, adding them:
4a = -767
a = -767/4
a = -191.75
Then:
\(b = \frac{49 - 7a}{5} = \frac{49 - 7(-191.75)}{5} = 278.25\)
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In triathlons, it is common for racers to be placed into age and gender groups. Friends Leo and Mary both completed the Hermosa Beach Triathlon, where Leo competed in the Men, Ages 30 - 34 group while Mary competed in the Women, Ages 25 - 29 group. Leo completed the race in 1:22:28 (4948 seconds), while Mary completed the race in 1:31:53 (5513 seconds). Obviously Leo finished faster, but they are curious about how they did within their respective groups. Can you help them? Here is some information on the performance of their groups:
The finishing times of the Men, Ages 30 - 34 group has a mean of 4313 seconds with a standard deviation of 583 seconds.
The finishing times of the Women, Ages 25 - 29 group has a mean of 5261 seconds with a standard deviation of 807 seconds.
The distributions of finishing times for both groups are approximately Normal. Remember: a better performance corresponds to a faster finish.
(a) Write down the short-hand for these two normal distributions.
(b) What are the Z scores for Leo�s and Mary�s finishing times? What do these Z scores tell you?
(c) Did Leo or Mary rank better in their respective groups? Explain your reasoning.
(d) What percent of the triathletes did Leo finish faster than in his group?
(e) What percent of the triathletes did Mary finish faster than in her group?
(f) If the distributions of finishing times are not nearly normal, would your answers to parts (b) - (e) change? Explain your reasoning
Therefore , the solution of the given problem of standard deviation comes out to be Mary beat about 62.44% of the other triathletes in her division, finishing first.
what does standard deviation mean?Statistics uses variance as a gauge of variation. The photograph of that figure is used to compute the average deviation between what was collected and the mean. In contrast with numerous other valid measures of variability, it includes those data points on their own by comparing each value to the mean. Variations may be brought on by willful mistakes, irrational expectations, or shifting economic or business conditions.
Here,
a) Men, 30-34 years old group: N(4313, 5832) Women, 25-29 years old group: N(5261, 8072)
(b)
=> Z score = (4948 - 4313) / 583 = 1.09 for Leo.
Mary's Z score is
=> (5513 - 5261) / 807 = 0.31.
(c) We must compare their Z scores in order to evaluate their rankings. Leo ended ahead of his group's mean, according to his Z score of 1.09, while Mary came in below it, according to her Z score of 0.31.
(d) . With the aid of a table or computer,
we determine that this region is roughly 0.8621 or 86.21%.
Leo outperformed about 86.21% of the triathletes in his division, finishing first.
(e) A table or calculator helps us determine that this region is roughly 62.44%.
Mary beat about 62.44% of the other triathletes in her division, finishing first.
(f) Our responses to sections (b) through (e) could change if the distributions of finishing times are not virtually normal.
Z ratings only have significance when the distribution is normal or roughly normal.
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3/4 + (-6/5) please i need correct answer or i wont pass
Answer:
Don't worry, I gotcha.
Step-by-step explanation:
3 -6 -3
---- + ---- = ----
4 5 9
for the probability distribution of a discrete random variable x, the sum of all values of x must be
For the probability distribution of a discrete random variable x, the sum of all values of x must be equal to 1.
We have,
The sum of all values of a discrete random variable x in its probability distribution should be equal to 1 because the probability distribution represents the likelihood of each possible value occurring.
In other words, the probabilities assigned to each value of x should account for all possible outcomes and collectively add up to the total probability of 1, which represents the certainty or 100% likelihood of an event occurring.
In a probability distribution, each value of x has an associated probability assigned to it.
These probabilities must satisfy two conditions: they must be non-negative (greater than or equal to 0) and their sum must be equal to 1. This ensures that the total probability accounts for all possible outcomes and covers the entire sample space.
By summing up the probabilities for all values of x in the probability distribution, we can verify if they add up to 1. If the sum is not equal to 1, it implies that there is an error in the probability distribution, and it needs to be adjusted to meet the requirement of a valid probability distribution.
Thus,
For the probability distribution of a discrete random variable x, the sum of all values of x must be equal to 1.
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The complete question:
For the probability distribution of a discrete random variable x, the sum of all values of x must be?
the goal is to test to determine if there is a significant difference between mean value added by the manufacturer and the mean cost of materials in manufacturing assuming a 1% level of significance. use excel to perform the f-test for equality of variances at the 1% significance level. which variable will be group 1? what can you conclude from running the f-test?
If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.
The F-test is a statistical test used to compare the variances of two groups.
In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.
Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.
Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.
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Twelve is at least
number x decreased
by 7.
Answer:
x is greater than or equal to 19
Answer:
Wrong.
Step-by-step explanation:
It's 12 ≤ N - 7
a circle is inside a square. the radius of the circle is increasing at a rate of 2 meters per hour and the sides of the square are decreasing at a rate of 1 meter per hour. when the radius is 5 meters, and the sides are 23 meters, then how fast is the area outside the circle but inside the square changing? the rate of change of the area enclosed between the circle and the square is square meters per hour.
For the radius of the circle 5 meters and sides 23meters the rate of change of area which is enclosed between the circle and the square is equal to -42.9 square meters per hour.
Let us consider radius of the circle be r.
And each side of the square be x.
As radius of the circle is increasing at a rate of 2 m/hour.
⇒ dr/dt = 2.
Sides of the square are decreasing at the rate of 1meter per hour
⇒ dx/dt = -1
Area outside the circle and inside the square given by :
A(t) = x² - πr²
Here x(t) and r(t) both are functions of time;
Derivative with respect to 't' we get,
⇒ A'(t) = 2x (dx/dt ) - π( 2r × dr/dt)
Here radius 'r' = 5 meters
And x = 23/4 sides
= 5.75m
Substitute the value we get,
⇒A'(t) = 2 × 5.75 × (-1 ) - π × 5 × 2
⇒A'(t) = - 11.5 - 10π
⇒A'(t) = -11.5 - 10 × 3.14
⇒A'(t) = -11.5 - 31.4
⇒A'(t) = -42.9 square meters per hour.
Therefore, the rate of change of the area enclosed between the square and the circle is equal to -42.9 square meters per hour.
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Which statement about the product is true?
5.643 x 4.6
O The product is irrational.
The product is neither rational nor irrational.
O The nature of the product cannot be determined.
O The product is rational.
Answer:
Product is rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Answer:
the product is rational
13. The emf result at the junction of a thermocouple is given by the equation e=0.4T−e T−100. The thermocouple is then calibrated using a standard thermometer. When the standard thermometer reads 50∘C, what is the reading of the thermocouple?
O a. 50.09
O b. 50.11
O c. 50.13
O d. 50.15
The standard thermometer reads 50°C, the reading of the thermocouple is 0.3922.
To find the reading of the thermocouple when the standard thermometer reads 50°C substitute T = 50 into the equation e = 0.4T - e(T - 100). Let's calculate it:
e = 0.4(50) - e(50 - 100)
e = 20 - e(-50)
e = 20 + 50e
to solve this equation for e. Let's rearrange it:
50e + e = 20
51e = 20
e = 20/51 ≈ 0.3922
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14 customers entered a store over the course of 7 minutes. At what rate were the customers entering the store in customers per minute?
Answer:
2
Step-by-step explanation:
Rate = Total number of customers / Total time
Rate = 14/7
Rate = 2
Therefore, the customers were entering the store at a rate of 2 customers per minute.
What is the solution to the linear system below? SOLVE WITH SUBSTITUTION.
y= 1/2x - 4
-2 + 4y = -16
In the 1908 Olympic Games, the Olympic marathon
was lengthened from 40 kilometers to approximately
42 kilometers. Of the following, which is closest to
the increase in the distance of the Olympic
marathon, in miles? (1 mile is approximately
1.6 kilometers.)
A) 1.00
B) 1.25
C) 1.50
D) 1.75
The closest increase in the distance of the Olympic marathon, in miles, is 1.25 miles. The correct option is B.
Given the Olympic marathon has been extended from 40 km to about 42 km.
Option B is correct. In 1908, the marathon was extended by 42 - 40 = 2 km. Since 1 mile is equal to 1.6 km, the 2 km increment can be converted to miles by multiplying as illustrated:
2 km × (1 mile / 1.6 km) = 1.25 miles
The options other than B are A, C, and D are incorrect and may be due to errors in applying conversion rates or other calculation errors.
Hence, an increase in the distance of the Olympic marathon when the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers is 1.25 miles.
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Nahid is payed 200$ a week + 5% of her sales during the week. The equation p=0.05s represents nahids pay for the week. P represents the total pay for week and s represents her total sales. If nahid was payed 290 at the end of the week, use the equation to determine how much did she sold.
Answer:
She sold $1800 worth.
Step-by-step explanation:
290-200=90
90 x 20 because 100÷5=20
90 x 20 = 1800
$1800
a plumber charges a rate of $65 per hour for his time but gives a discount of $7 per hour to senior citizens. write an expression which represents a senior citizen's total cost of plumber in 2 different ways
An equation highlighting the discount: y = (65 - 7)x
A simpler equation: y = 58x