Answer:
False
Step-by-step explanation:
(8 + 5 x 3)^2
= 23^2
= 529
PRST is a trapezium. PQR and PTU are
straight lines. Find the values of x and y.
Answer:
x = 56 degrees
y = 62 degrees
Step-by-step explanation:
Given TS || PR
x = 56 ................. corresponding angles TS, PR parallel sides of trapezium.
VSK = x ...................... correspoinding angles given TU || SV
y = 118 - VSK .......... given VSR = 118
= 118 - 56
= 62
when processing an invoice what account is debited
a. cash
b. accounts payable
c. accounts receivable
d. the answer depends on the transaction
Answer:
D
Step-by-step explanation:
Because the account that gets debited depends on the specific transaction
Help please help me
please tell me which is a function and which is not
Answer:
Step-by-step explanation:
Draw a vertical line through each purple dot in each graph.
If the line crosses only one dot (in each graph), that graph is the graph of a function. If the line crosses more than one dot, that graph is not the graph of a function.
a survey found that 78% of the men questioned preferred computer-assisted instruction to lecture and 68% of the women preferred computer-assisted instruction to lecture. there were 100 randomly selected individuals in each sample. find the 95% confidence interval for the difference of the two proportions.
The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.
Given that,
In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.
We have to calculate the 95% confidence range for the difference between the two proportions.
We know that,
The 95% confidence interval for difference between two population proportions is given as follows :
\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)
Here,
p₁ is 0.78
p₂ is 0.68
n₁ is 100
n₂ is 100
Z is 1.96
P is 0.73
Q is 0.27
So,
((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)
(0.10±0.122)
(0.10-0.122,0.10+0.122)
(-0.022,0.222)
Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.
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The volume of rectangular bar is 640 cubic units. The width is 3 units more than the height and the length is 1 unit more than three times the height. Find the dimensions of the bar.
Answer:
H = 5 , W = 8 , L = 16
Step-by-step explanation:
what is the probability that the largest among these random samples is greater than the population median?
The probability that the largest of n random samples is greater than the population median M is bounded above by\(1 - F(M)^(n-1) \times F(X(n))\).
Assumptions about the population and the sampling method.
Let's assume that the population has a continuous probability distribution with a well-defined median, and that we are taking independent random samples from this population.
Let \(X1, X2, ..., Xn\) be the random samples that we take from the population, where n is the sample size.
Let M be the population median.
The probability that the largest of these random samples, denoted by X(n), is greater than M.
Cumulative distribution function (CDF) of the population distribution to calculate this probability.
The CDF gives the probability that a random variable takes on a value less than or equal to a given number.
Let F(x) be the CDF of the population distribution.
Then, the probability that X(n) is greater than M is:
\(P(X(n) > M) = 1 - P(X(n) < = M)\)
Since we are assuming that the samples are independent, the joint probability of the samples is the product of their individual probabilities:
\(P(X1 < = x1, X2 < = x2, ..., Xn < = xn) = P(X1 < = x1) \times P(X2 < = x2) \times ... \times P(Xn < = xn)\)
For any x <= M, we have:
\(P(Xi < = x) < = P(Xi < = M) for i = 1, 2, ..., n\)
Therefore,
\(P(X1 < = x, X2 < = x, ..., Xn < = x) < = P(X1 < = M, X2 < = M, ..., Xn < = M) = F(M)^n\)
Using the complement rule and the fact that the samples are identically distributed, we get:
\(P(X(n) > M) = 1 - P(X(n) < = M)\)
= \(1 - P(X1 < = M, X2 < = M, ..., X(n) < = M)\)
=\(1 - [P(X1 < = M) \times P(X2 < = M) \times ... \times P(X(n-1) < = M) \times P(X(n) < = M)]\)
\(< = 1 - F(M)^(n-1) \times F(X(n))\)
Probability depends on the sample size n and the distribution of the population.
If the population is symmetric around its median, the probability is 0.5 for any sample size.
As the sample size increases, the probability generally increases, but the rate of increase depends on the population distribution.
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sketch graph. then identify the domain and range of each. you may use either method of graphing. X/Y table or graph by transformation
The range of the function is all values of y such that y is greater than or equal to -3. So, the range is [-3, infinity).
What is function?In mathematics, a function is a rule that assigns a unique output for each input in a set. The set of inputs is called the domain, while the set of outputs is called the range. Functions can be represented in various forms, such as an algebraic expression, a table of values, a graph, or a set of ordered pairs. Functions are essential in mathematical modeling, problem-solving, and data analysis in various fields such as science, engineering, economics, and finance.
Here,
The domain of this function is all values of x such that x - 1 is greater than or equal to zero, which means x is greater than or equal to 1. So, the domain is [1, infinity).
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please sombody help mee
Answer:
A) y=1500+150x
Step-by-step explanation:
The y-intercept (0,1500) matches up with the first equation.
Each time x increases by one, y increases by 150. Example- (1, 650) and (2, 1800)
Please give brainliest if I helped! :)
Answer:
y= 150 + 1500x
Step-by-step explanation:
the yintercept is 1500. each point on the y axis is 100 and each point on the y axis is 1
so i go up 3 which is 300 and to the right 2 points which is 2 to get to the next point.
300/2 is 150
Which statement below is not consistent with the benefits of adding an individual difference variable (i..., gender) to a single factor (i.e, factor A) ANOVA? a. doing so reduces the within treatments variance b.doing so allows for examination of whether there are differences between the levels of the individual difference variable c. doing so reveals if an interaction exists between the individual difference variable and the single factor O d. doing so reduces the between treatments variance for the single factor
The statement that is not consistent with the benefits of adding an individual difference variable (i.e., gender) to a single factor (Factor A) ANOVA is d. doing so reduces the between treatments variance for the single factor.
a. Adding an individual difference variable (e.g., gender) to a single factor ANOVA can reduce the within treatments variance. By accounting for individual differences, the variability within each treatment group decreases, leading to a more accurate assessment of the effect of the single factor.
b. Adding an individual difference variable allows for the examination of whether there are differences between the levels of the individual difference variable. In this case, it allows for investigating whether there are differences between genders (e.g., males and females) in relation to the single factor being studied.
c. Adding an individual difference variable also reveals if an interaction exists between the individual difference variable (e.g., gender) and the single factor (Factor A). An interaction occurs when the effect of the single factor on the outcome variable differs across the levels of the individual difference variable. It helps identify whether the relationship between Factor A and the outcome varies based on gender.
However, statement d. is not consistent with the benefits of adding an individual difference variable. Adding an individual difference variable does not typically reduce the between treatments variance for the single factor. Instead, it primarily focuses on reducing the within treatments variance and examining interactions. The between treatments variance refers to the variability between the levels of the single factor being studied, and adding an individual difference variable does not directly affect this variance.
In summary, statement d. ("doing so reduces the between treatments variance for the single factor") is not consistent with the benefits of adding an individual difference variable (i.e., gender) to a single factor ANOVA.
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suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.3 and a mean diameter of 202 inches. if 70 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.1 inches? round your answer to four decimal places.
Probability that the mean diamter of the sample shaftes would differ from the population mean by less than 0.1 inches is 0.4778.
What do you mean by standard deviation?
The standard deviation is a statistical indicator of how widely distributed a set of values are. A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.
Here, it is given that
Standard deviation , σ = 1.3
Mean diamter, μ = 202
Number of shafts , n = 70
σ\(_{x}\) = σ/\(\sqrt{n}\) = 1.3/\(\sqrt{70}\) = 0.1554
Difference less than 0.1 = 202 - 0.1 = 201.9 , 202 + 0.1 = 202.1
P(\(\overline{x}\) < 0.1) = P(201.9 < x < 202.1)
P ( 201.9 - 202 / 0.1554 ) < \(( \bar x - \mu\bar x /\sigma\bar x)\) < ( 202.1 - 202 / 0.1554 )
P ( - 0.1 / 0.1554 < z < 0.1 / 0.1554 )
P (-0.64 < z < 0.64 )
P ( z < 0.64) - p ( z < -0.64 )
Using z table
= 0.7389 - 0.2611
= 0.4778
Probability =0.4778
Therefore, Probability that the mean diamter of the sample shaftes would differ from the population mean by less than 0.1 inches is 0.4778.
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Jeffrey has a fish tank that holds 8 liters of water. He already has the tank filled with 1 liter of water. How many more milliliters of water does Jeffrey need to completely fill the fish tank
Jeffrey has a fish tank that holds 8 liters of water. He already has the tank filled with 1 liter of water. Thus, to fill the fish tank completely with water, Jeffrey needs 7000 milliliters of water.
This is because 1 liter is equal to 1000 milliliters. Thus, 8 liters are equal to 8 × 1000 = 8000 milliliters.
Therefore, the amount of water Jeffrey needs to completely fill the fish tank is 8000 - 1000 = 7000 milliliters of water.
Jeffrey has a fish tank of 8 liters of water that already has 1 liter of water in it.
The amount of water Jeffrey needs to completely fill the fish tank is calculated by subtracting the liters of water already present in the tank from the total liters of water the tank can hold.To completely fill the fish tank, Jeffrey needs to fill the remaining 7 liters with water. One liter of water is equivalent to 1000 milliliters. Thus, Jeffrey needs to multiply the remaining liters of water he needs to fill by 1000 milliliters.
7 × 1000 = 7000
Therefore, Jeffrey needs 7000 milliliters of water to completely fill the fish tank with water.
To completely fill the fish tank, Jeffrey needs 7000 milliliters of water because he has already filled it with 1 liter of water, and the fish tank can hold 8 liters of water.
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Do
this mathematics operations using the rules of precision
(9.11)+(6.232)
(7.4023)x(19)
(9.162)-(2.39)
(0.00482)x(213)
(8.73)/(5.198)
(7644)/(0.13)
Answer:
Step-by-step explanation:
Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:
(9.11) + (6.232)
The sum of 9.11 and 6.232 is 15.342.
(7.4023) x (19)
The product of 7.4023 and 19 is 140.844.
(9.162) - (2.39)
The difference between 9.162 and 2.39 is 6.772.
(0.00482) x (213)
The product of 0.00482 and 213 is 1.02786.
(8.73) / (5.198)
The division of 8.73 by 5.198 is 1.67920734.
(7644) / (0.13)
The division of 7644 by 0.13 is 58,800.
Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.
T/F : the mathematical algorithm used by hmac-based one-time passwords
True. The HMAC-based one-time password algorithm uses a mathematical algorithm to generate a unique password for each login attempt.
This algorithm combines a secret key and a counter to produce a one-time password that is difficult to guess or duplicate. The algorithm is designed to be secure and reliable, providing an additional layer of protection for user accounts. By using a different password for each login attempt, the algorithm helps prevent attackers from gaining access to a user's account even if they manage to intercept the password. Overall, the HMAC-based one-time password algorithm is an effective way to enhance the security of online accounts and protect against unauthorized access.
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RATING BRAINLIEST Which of the following demonstrates the Distributive Property?
4(2a + 3) = 8a + 3
4(2a + 3) = 2a + 12
4(2a + 3) = 6a + 7
4(2a + 3) = 8a + 12
Answer:
D: 4(2a+3)=8a+3
Step-by-step explanation:
4x2a = 8a and 4x3 = 12
Answer:
just saying this so other can get brainliest
Step-by-step explanation:
d
NEED HELP FINDING THE EQUATION!!! THXXXX
Answer:
See below
Step-by-step explanation:
Horizontal lines have ZERO slope
Vertical lines have 'undefined' slope
for this example x = 1/2 includes the point and has undiefined slope
4. Kiran says "If I walk 3 miles per hour toward you, and you walk 3.4 miles per hour toward me,
it's the same as if you stay put and I jog 6.4 miles per hour.” What do you think Kiran means
by this? Is he correct?
Answer:
0.0000000000000000..00000000000000000000000
Step-by-step explanation:
Joy's math certificate is 10 inches tall and 13 inches wide. Joy wants to put the certificate in a fancy frame that costs $3.00 per inch. How much will it cost to frame Joy's math certificate?
In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.
The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.
Joy wants to frame it in a fancy frame that costs $3.00 per inch.
To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.
The perimeter of the certificate is:
Perimeter = 2 × (height + width)
Substituting the given values, we get:
Perimeter = 2 × (10 + 13)Perimeter = 46 inches
Therefore, the total cost of framing Joy's math certificate is:
Total cost = Perimeter × Cost per inch
Total cost = 46 × 3.00Total cost = $138.00
Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.
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Maria is playing with a scale. Two red weights and a 5-ounce weight exactly balance a blue weight. And three red weights and a blue weight exactly balance a 10-ounce weight. What weight, in ounces, would balance a red
weight and two blue weights?
In ANOVA, which of the following is not affected by whether or not the population means are equal? between-samples estimate of o 2 within-samples estimate of o 2 None of these alternatives is correct.
In Analysis of variance, X (bar) is not affected by whether or not the population means are equal.
Analysis of variance is a statistical method for examining differences in means. It consists of a number of statistical models and the accompanying estimating techniques (such as the "variation" within and between groups). Ronald Fisher, a statistician, created Analysis of variance. The rule of total variance, on which the Analysis of variance is based, divides the observed variance in a given variable into components owing to various causes of variation.
ANOVA generalizes the t-test beyond two means by offering a statistical test to determine if two or more population means are equal. In other words, the Analysis of variance is employed to determine whether two or more means differ from one another.
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Define power of 10 rule
Answer:
A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.
Step-by-step explanation:
Answer:
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
Step-by-step explanation:
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10 sec as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
Question 3[20 Points] a) [10 points] If a=2, b=5 and m=10, then find F(s) for the following function: f(t)=ate-bt sin(mt) u(t) b) [10 points] Explain the time shift property in Laplace transform and give an example about it.
The time shift property tells us that if we shift the function f(t) = u(t - a) by 'a' units to the right, the Laplace transform F(s) will be multiplied by \(e^{(-as)}\), which represents the time delay.
a) To find F(s) for the given function \(f(t) = ate^{(-bt)} sin(mt)u(t)\), where u(t) is the unit step function, we can use the Laplace transform.
- The Laplace transform of a is A/s, where A is the value of a.
- The Laplace transform of \(e^{(-bt)}\) is 1/(s + b).
- The Laplace transform of sin(mt) is \(m/(s^2 + m^2)\), using the property of the Laplace transform for sine functions.
- The Laplace transform of u(t) is 1/s.
Now, using the linearity property of the Laplace transform, we can combine these transforms:
\(F(s) = (A/s) \times (1/(s + b)) \times (m/(s^2 + m^2)) \times (1/s)\)
\(= Am/(s^2(s + b)(s^2 + m^2))\)
b) The time shift property in the Laplace transform states that if the function f(t) has a Laplace transform F(s), then the Laplace transform of the function f(t - a) is \(e^{(-as)}F(s)\).
This property allows us to shift the function in the time domain and see the corresponding effect on its Laplace transform in the frequency domain. It is particularly useful when dealing with time-delay systems or when we need to express a function in terms of a different time reference.
For example, let's consider the function f(t) = u(t - a), where u(t) is the unit step function and 'a' is a positive constant. This function represents a step function that starts at t = a. The Laplace transform of this function is F(s) = \(e^{(-as)}/s.\)
The time shift property tells us that if we shift the function f(t) = u(t - a) by 'a' units to the right, the Laplace transform F(s) will be multiplied by \(e^{(-as)}\), which represents the time delay. This property allows us to analyze and solve problems involving time-delay systems in the Laplace domain.
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on a restaurant menu you can have three course meal by selecting one for me to course they're five appetizers for main dishes through desserts to choose from how many Possible full meals are there
Question isn't well formatted :
on a restaurant menu you can have three course meal by selecting one from each meal course they're five appetizers four main dishes and two desserts to choose from how many Possible full meals are there?
Answer:
40
Step-by-step explanation:
To solve questions of this nature, we apply combination.
nCr = n! ÷ (n - r)!r!
For the 3 course meal :
Selection procedure ;
Select 1 appetizer from 5 ; and 1 main dish from four and 1 dessert from 2
This gives :
5C1 * 4C1 * 2C1
5C1 = 5! ÷ (5-1)!1! = 5
4C1 = 4! ÷ (4-1)!1! = 4
2C1 = 2! ÷ (2-1)!1! = 2
Hence, we have
5 * 4 * 2 = 40 different meals
Answer:
40?
Step-by-step explanation:
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!!
A.) 18 inches
B.) 9 inches
C.) 6 inches
D.) 12 inches
Answer:
12 INCHES
Step-by-step explanation:
lol
also might have to do with the ratio tho......but i forgot
Answer:
I think the answer is "D" 12 inches
Step-by-step explanation:
I think this because on the right it says 12 inches and the left and the right look like the same length. Hope this helped and if it's wrong I'm so sorry.
Can somebody please help meee answer ASAP?
Sure what's the question
Which points lie on the line y= -1/2x +4?
A) (-2,5) and (2,3)
B) (0,6) and (1,4)
C) (-2,5) and (4,3)
D) (-2,3) and (0,2)
Which answer choice is the equation of a line that passes through the points (1.-3) and (-1,3)? A) y = -1/3
B) -3y = x + 1
C) y = 3x
4) 3x + y = 0
Question #1
first, you need to find the slope. Use the formula: m=(y₂-y₁)/(X₂-X₁). Plug in x and y values. once you have found the slope, use point-slope form;
(y-y₁)=m(x-x₁). Again, plug in x and y values. Simplify the equation. Do that with the coordinate pairs, to see which one matches y=-1/2x+4. The answer though is A, (-2,5) and (2,3).
Question #2
Do the same thing, find the slope using the formula, and then use point-slope form. After that, find the matching equation and that's the answer. I am confused though because the right equation would be \(y=-3x\), but that's not one of the answers.
Determine the values of the variables in the parallelogram below.
5
(m2 - 4m)°
140°
x² + 4x
Answer:
m = -10, 14 x = 1, -5
Step-by-step explanation:
m^2 - 4m = 140 (in a parallelogram, opposite angles are congruent)
(1)m^2 - 4m - 140 = 0
Objective: Find two numbers that multiply to -140(1 * -140) and add to -4
Numbers: 10, -14
(m + 10)(m - 14) = 0
m + 10 = 0, m - 14 = 0
m = -10, m = 14
x^2 + 4x = 5 (in a parallelogram, opposite sides are equal)
(1)x^2 + 4x - 5 = 0
Objective: Find two numbers that multiply to -5(1 * -5) and add to 4
Numbers: -1, 5
(x - 1)(x + 5) = 0
x - 1 = 0, x + 5 = 0
x = 1, x = -5
please help me out! determine the range of the following graph
Answer:
[-9,-4]
Step-by-step explanation:
The highest and lowest points this graph gets to on the y axis are -4 and -9 respectively.
This means the range is [-9,-4].
Brackets are used since -9 and -4 are seemingly included.
1k + 9>30
Plis ayúdenme
Answer:
Step-by-step explanation:
1k +9 > 30
1k +9 -9 > 30 -9
1k > 21
k > 21
a jet airplane reaches on a certain flight. what distance does it cover in ? set the math up. but don't do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.
The jet airplane covers a distance of approximately 148.62 km in 14.0 minutes, given that it reached a speed of 637 km/h during the flight.
To find the distance covered by the jet airplane in 14.0 minutes, we need to use the formula:
distance = speed x time
First, we need to convert the speed from kilometers per hour to meters per minute, since time is given in minutes:
637 km/h = 637,000 m/h
1 hour = 60 minutes, so:
637,000 m/h ÷ 60 min/h = 10,616.67 m/min
Therefore, the speed of the airplane in meters per minute is approximately 10,616.67 m/min.
Now we can use the formula:
distance = speed x time
where time is given as 14.0 minutes:
distance = 10,616.67 m/min x 14.0 min
distance = 148,616.67 meters
To convert the distance to kilometers, we can divide by 1000:
distance = 148,616.67 m ÷ 1000 = 148.62 km
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Complete question is:
A jet airplane reaches 637. km/h on a certain flight. What distance does it cover in 14.0 min?
Point A
Support
3.0m
2.5m
Figure 5
Weight of girl = 600 N
Weight of diving board = 800 N
Calculate the total clockwise moment of the weight of the diving board and the weight of the girl at about Point A. Give the unit.
Use the correct equation from the Physics Equation Sheet.
Answer: The total clockwise moment of the weight of the diving board and the weight of the girl at about Point A can be calculated using the equation:
moment = force x distance
In this case, the force is the weight of the diving board (800 N) and the weight of the girl (600 N) and the distance is the distance from Point A to the support (2.5m).
So the total clockwise moment is:
moment = (800 N + 600 N) x 2.5 m = 1400 N x 2.5 m = 3500 Nm
The unit for moment is Newton-meter (Nm).
It's worth noting that in this problem, the clockwise moment is calculated by considering the force and the distance in the same direction, and the moment is positive, if the force is acting in a clockwise direction.
Step-by-step explanation: