Given the equation of a line: y = (2/3)x + 1. Select the equation of the line PARALLEL to this line
Answers
Answer:
y = (2/3)x + K, where K is any number except 1
Step-by-step explanation:
In the slope-intercept form of the linear equation, y = mx +b, the 'm' is for the slope, m = 2/3.
Any line that also has a slope of 2/3 will be parallel.
y = (2/3)x - 10 will be parallel
y = (2/3)x + 12 will be parallel
y = (2/3)x - (1/2) will be parallel
y = (2/3)x + 5,391 will be parallel
Maybe this is a multiple choice question?
Because there is not really just one unique answer to the question as you have presented it.
Hope this helps!
Related Questions
Question 3 The Schwarzschild metric is given by 2M 2M ds² -(₁-²M) di² + (1-²¹)- 1- dr² +r² (d0² + sin² 0 dó²). There are Killing vectors associated with time invariance and angular momen- tum invariance in the direction in this geometry leading to the conserved quantities e = (1-2) and l= r² sin² 0 dr From this one can derive an analog to the radial energy equation in Newtonian mechanics by orienting the coordinates so that the orbits are confined to the equatorial plane where 0 = π/2 and u = 0. One finds 2 1 dr + Veff (r) = E 2 dr (e²_ -1) where E = and Veft(r) = - + 2/²/²2 - Mp³². Further, for circular orbits one can show that M | [₁ + √/₁−12 (+1)]. r+= | 2M Finally, for circular orbits of radius R do 1/2 M dt R³ (a) Which value of r corresponds to the Schwarzschild radius of stable circular orbits: r or r? Justify your answer. [3 marks] (b) Show that for circular orbits of radius R do 1/2 M -1/2 3M (²) ¹² (1-³) dT R³ R where is the proper time. [6 marks] (c) A free particle is moving in a circular orbit around a spherical source of curvature of mass M. The Schwarzschild radius of the orbit is 8M. Use the equivalence principle to argue that the period as measured at infinity should be larger than that measured by the particle. [4 marks] (d) Find the period of the orbit as measured by an observer at infinity. Find the period of the orbit as measured by the particle. [7 marks] M
Answers
(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.
This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.
M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.
(B) 1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.
Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.
(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.
The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.
(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).
The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).
Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).
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Jeremiah read 5/6 a book in 2/3 an hour. How much can he read in an hour?
Answers
Answer:he can read 1 and 3/12 or 15/12 books in an hour.
Step-by-step explanation:
Answer:
He can read 1 and 3/12 or 15/12 book in an hour.
Step-by-step explanation:
Forgive me if i am wrong
A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3000. what is the probability a tire selected at random lasts more than 42,650 miles?
Answers
The probability a tire selected at random lasts more than 42,650 miles is 18.94%.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Given that,
A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3000.
The probability a tire selected at random lasts more than 42,650 miles.
Given that,
m = 40000
σ = 3000
p(X>42650) = p \(\frac{X-M}{σ }\) > \(\frac{ 42650-40000}{3000}\)
= P [Z>0.883333]
= P [Z>0.88]
= 1 - P (Z<0.88)
= 1- 0.8106
= 0.1894
= 18.94%
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a) Change 12 out of 43 to a percentage
b) Change 43 out of 57 to a percentage
Answers
Answer:
a) 27.9069767442
b} 75.439%
Step-by-step explanation:
What is the equation of the line?
Answers
Answer: 5x + 4y - 6 = 0
Step-by-step explanation:
Find the slope of the line by finding 2 points that are on the line
(-2,4) and (2,-1)
(4--1)/(-2-2) = 5/-4
y = -5x/4 + c
Substitute (2,-1)
-1 = -10/4 + c
6/4 = c
So the equation is y = (6-5x)/4
4y = 6-5x
5x + 4y - 6 = 0
(Side note: So many people are asking about line equations)
Pls help me :,)))
ASAP
Help
Pls
Answers
Answer:
26.87877
Step-by-step explanation:
A consumer testing group is comparing the average lifetime for three brands of batteries. The batteries are being tested in flashlight to determine the length of time (in hours) until the flashlight is extinguished due to a dead battery. The consumer test group collects random data for the battery lifetimes for the three brands and the dataset is provided below. The consumer testing group is interested to know if the average battery lifetimes are statistically the same for the three brands. Use a significance level of 5%. The consumer testing group has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal.
a. Calculate the Test Statistic for this example (round your answer to 2 decimal places)
b. Calculate the P-value for this example (round your answer to 2 decimal places)
Brand A Brand B Brand C
15.6 19.9 18.7
16.5 14.9 17.5
19 18.4 16.3
17.8 16.6 13.4
14.9 22.2 18.4
Answers
The consumer testing group has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal and test Statistic for this example is 8.90b and the P-value for this example is 0.011
The null hypothesis and alternative hypothesis are:H0: μ1 = μ2 = μ3HA: At least one μi differs from the rest of the means.The level of significance is α = 0.05The test statistic used for this example is the F distribution (ANOVA).a. Calculation of the Test Statistic:
Test Statistic = MSR / MSEWhere,MSR = mean square due to regression = SSTR / 2 = 190.66MSE = mean square due to error = SSE / 12 = 21.43Therefore, the test statistic F = MSR / MSE = 8.90b.
Calculation of the P-value:P-value = P(F > 8.90)The degrees of freedom for numerator is k-1 = 3 - 1 = 2 and the degrees of freedom for the denominator is N-k = 15 - 3 = 12.The p-value of the F distribution with 2 and 12 degrees of freedom at 5% level of significance is 0.011. Therefore, P-value < α.
Thus, we reject the null hypothesis. We conclude that at least one μi differs from the rest of the means. Therefore, the average battery lifetimes are not statistically the same for the three brands.
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Find all numbers such that 16 plus 3 times the number is no more than 46. A. x > 11 B. x 11 D. x < 10
Answers
Answer:
D. x ≤ 10 (if you wrote the wrong sign)
or No answer
Step-by-step explanation:
x - the number
3x - three times the number
no more than 46 means ≤46
16 + 3x ≤ 46
3x ≤ 46 - 16
3x ≤ 30
x ≤ 30:3
x ≤ 10
The numbers are x < 10
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
16 plus 3 times the number is no more than 46.
let the number be x
then, three times the number be 3x
Lastly, not more than 46.
So,
16 + 3x ≤ 46
3x ≤ 46 - 16
3x ≤ 30
x ≤ 30/3
x ≤ 10
Hence, the number should be x < 10.
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In a set of test scores that are normally distributed, a test score of 76 is 3 standard deviations below the mean. A score of 88 is 1 standard deviation above the mean. What is the mean of the data?
Answers
The mean of the data is 82.
In a normal distribution, the mean represents the average value of the data. We are given that a test score of 76 is 3 standard deviations below the mean and a score of 88 is 1 standard deviation above the mean.
Let's denote the mean as μ and the standard deviation as σ. From the given information, we can set up two equations:
76 = μ - 3σ (Equation 1)
88 = μ + σ (Equation 2)
We can solve this system of equations to find the values of μ and σ. Subtracting Equation 2 from Equation 1, we get:
76 - 88 = μ - 3σ - μ - σ
-12 = -4σ
σ = 3
Substituting the value of σ into Equation 2, we can solve for μ:
88 = μ + 3
μ = 88 - 3
μ = 85
Therefore, the mean of the data is 85.
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Find the curvature of r(t) =< t^2,ln t,t ln t > at the point
Answers
To find the curvature of the curve defined by the vector function r(t) = < t^2, ln(t), t ln(t) > at a given point, we need to calculate the curvature using the formula:
κ = |dT/ds| / ||dT/ds||,
where dT/ds is the unit tangent vector and ||dT/ds|| is its magnitude.
Let's proceed with the calculations:
Step 1: Find the first derivative of r(t) to get the tangent vector T(t):
r'(t) = < 2t, 1/t, ln(t) + t/t > = < 2t, 1/t, ln(t) + 1 >.
Step 2: Calculate the magnitude of the tangent vector:
||r'(t)|| = sqrt((2t)^2 + (1/t)^2 + (ln(t) + 1)^2)
= sqrt(4t^2 + 1/t^2 + ln(t)^2 + 2ln(t) + 1).
Step 3: Differentiate r'(t) to find the second derivative:
r''(t) = < 2, -1/t^2, 1/t + 2/t > = < 2, -1/t^2, (t + 2)/t >.
Step 4: Calculate the magnitude of the second derivative:
||r''(t)|| = sqrt(2^2 + (-1/t^2)^2 + ((t + 2)/t)^2)
= sqrt(4 + 1/t^4 + (t^2 + 4t + 4)/t^2)
= sqrt((t^6 + 4t^5 + 4t^4) + (t^2 + 4t + 4) + 4t^2).
Step 5: Calculate the curvature:
κ = |dT/ds| / ||dT/ds||
= (||r'(t)|| / ||r''(t)||^3)
= ((sqrt(4t^2 + 1/t^2 + ln(t)^2 + 2ln(t) + 1)) / (sqrt((t^6 + 4t^5 + 4t^4) + (t^2 + 4t + 4) + 4t^2))^3).
To find the curvature at a specific point, substitute the value of t into the expression for κ.
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At a school dance, the parents sell pizza slices. The table shows the number of pizza
slices that are available. A student chooses a slice at random. What is the probability
that the student chooses a thin crust slice with pepperoni?
Answers
Answer:
There maybe 8 peices if a smaller one was choose then they would not notice it gone
Kevin Horn is the national sales manager for National Textbooks Inc. He has a sales staff of 4040 who visit college professors all over the United States. Each Saturday morning he requires his sales staff to send him a report. This report includes, among other things, the number of professors visited during the previous week. Listed below, ordered from smallest to largest, are the number of visits last week.
38 40 41 45 48 48 50 50 51 51 52 52 53 54 55 55 55 56 56 57
59 59 59 62 62 62 63 64 65 66 66 67 67 69 69 71 77 78 79 79
a. Determine the median number of calls.
b. Determine the first and third quartiles. (Round Q1 to 2 decimal places and Q3 to nearest whole number.)
c. Determine the first decile and the ninth decile. (Round your answer to 1 decimal place.)
d. Determine the 33rd percentile. (Round your answer to 2 decimal places.)
Answers
a. The median number of calls = 55
b. The first and third quartiles, Q1 = 48 and Q3 = 66
c. The first decile and the ninth decile, D1 = 45 and D9 = 71.
d. The 33rd percentile = 52.5
To answer the questions, let's first organize the data in ascending order:
38 40 41 45 48 48 50 50 51 51 52 52 53 54 55 55 55 56 56 57 59 59 59 62 62 62 63 64 65 66 66 67 67 69 69 71 77 78 79 79
(a) The median is the middle value of a dataset when arranged in ascending order.
Since we have 40 observations, the median is the value at the 20th position.
In this case, the median is the 55th visit.
(b) The quartiles divide the data into four equal parts.
To find the first quartile (Q1), we need to locate the position of the 25th percentile, which is 40 * (25/100) = 10.
The first quartile is the value at the 10th position, which is 48.
To find the third quartile (Q3), we need to locate the position of the 75th percentile, which is 40 * (75/100) = 30.
The third quartile is the value at the 30th position, which is 66.
Therefore, Q1 = 48 and Q3 = 66.
(c) The deciles divide the data into ten equal parts.
To find the first decile (D1), we need to locate the position of the 10th percentile, which is 40 * (10/100) = 4.
The first decile is the value at the 4th position, which is 45.
To find the ninth decile (D9), we need to locate the position of the 90th percentile, which is 40 * (90/100) = 36.
The ninth decile is the value at the 36th position, which is 71.
Therefore, D1 = 45 and D9 = 71.
(d) To find the 33rd percentile, we need to locate the position of the 33rd percentile, which is 40 * (33/100) = 13.2 (rounded to 13). The 33rd percentile is the value at the 13th position.
Since the value at the 13th position is between 52 and 53, we can calculate the percentile using interpolation:
Lower value: 52
Upper value: 53
Position: 13
Percentage: (13 - 12) / (13 - 12 + 1) = 1 / 2 = 0.5
33rd percentile = Lower value + (Percentage * (Upper value - Lower value))
= 52 + (0.5 * (53 - 52))
= 52.5
Therefore, the 33rd percentile is 52.5.
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A concave shaving mirror has a radius of curvature of +31.5 cm. It is positioned so that the (upright) image of a man's face is 3.40 times the size of the face. How far is the mirror from the face? Number i Units
Answers
The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.
Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40
We know that the formula for magnification is given by:
m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :
f = r/2where,f = focal length of the mirror
Using the mirror formula:1/f = 1/v - 1/u
We know that a concave mirror has a positive focal length, so we can replace f with r/2.
We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u
Also, from the given data, we have :m = v/u
Substituting the value of v/u in terms of m, we get: u/v = 1/m
So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u
Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm
Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.
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suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle maintenance. how many customers should the company survey in order to be 95% confident that the estimated (sample) proportion is within 4 percentage points of the true population proportion of customers who keep up with regular vehicle maintenance?
Answers
The company should survey at least 601 customers to be 95% confident that the estimated proportion is within 4 percentage points of the true population proportion.
To determine the sample size needed, we can use the formula:
n = (z^2 * p * (1-p)) / E^2
where:
n is the sample size needed
z is the z-score for the desired confidence level (in this case, 1.96 for 95% confidence)
p is the estimated population proportion (we don't have an estimate, so we'll use 0.5, which gives the largest possible sample size)
E is the maximum margin of error (4 percentage points in this case, or 0.04)
Plugging in the values, we get:
n = (1.96^2 * 0.5 * 0.5) / 0.04^2
n = 600.25
We round up to the nearest whole number to get a sample size of 601.
This means that if the company surveys 601 randomly selected customers and finds that, for example, 60% of them keep up with regular vehicle maintenance, we can be 95% confident that the true proportion of all customers who keep up with regular vehicle maintenance is between 56% and 64%.
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The cable company has yearly projections for an increase in the cost of cable a customer must pay. The monthly increase is represented by x^2-16x+64=0x2
−16x+64=0, where x is the amount of increase in dollars per month. What will be the monthly increase for all of the cable customers?
Answers
The amount of monthly increase will be 8$
What is Quadratic Equation?
Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.
Solution:
Given Equation is x² - 16x + 64 = 0
Using the formula method we will first find the discriminant
D = b² - 4ac
D = 256 - 256 = 0
x = -b +- √D / 2a
x = 16/2 = 8
x = 8
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what are all the numbers through 10 and 100 that are divisible by 6 and 9
Answers
Answer:
6,12,18,24,36,42,48,5,60,66,72,78,84,90,96
Step-by-step explanation:
got a friend help
Simplify (48)2
HURRY
Answers
Answer:
96
Step-by-step explanation:
Your basically saying 48*2 by (48)2
Just multiply and get 96
respond to at least one other person's post by verifying the conditions of a binomial situation. list out the three conditions from the textbook, then provide evidence how you know it is satisfied. if a condition is not satisfied or unclear, state that in your response, and explain what is wrong or missing.
Answers
To verify the conditions of a binomial situation, there are three conditions that need to be met. These conditions are:
Fixed number of trials: The number of trials must be fixed, meaning that a specific number of experiments or observations are conducted. For example, flipping a coin 10 times or rolling a dice 20 times.
Independent trials: Each trial must be independent of each other, meaning that the outcome of one trial does not affect the outcome of the others. This ensures that each trial has the same probability of success or failure. For example, if we are flipping a fair coin, each coin flip is independent of the others. Two possible outcomes: There must be only two possible outcomes for each trial - success or failure. These outcomes must be mutually exclusive and exhaustive. For example, in a coin flip, the outcome can either be heads (success) or tails (failure). To provide evidence of whether these conditions are satisfied, we can look at the specific situation described in the post. If any of these conditions are not met or unclear, we need to identify and explain what is wrong or missing. It is important to carefully analyze the context and details provided to determine if the binomial conditions are satisfied. To verify the conditions of a binomial situation, we need to consider three conditions from the textbook. Firstly, the number of trials must be fixed. For example, if we are conducting an experiment of flipping a coin, we need to determine the specific number of flips. This ensures that there is a consistent number of trials in the situation. Secondly, each trial must be independent of each other. This means that the outcome of one trial should not affect the outcome of the others. For instance, if we are flipping a fair coin, each flip is independent, and the outcome of the previous flip does not impact the outcome of the next flip. Lastly, there must be two possible outcomes for each trial - success or failure. These outcomes should be mutually exclusive and exhaustive. In the case of flipping a coin, the possible outcomes are heads (success) or tails (failure). By verifying these conditions, we can ensure that the situation meets the criteria for a binomial scenario.
To verify the conditions of a binomial situation, it is important to check if the number of trials is fixed, if each trial is independent, and if there are only two possible outcomes. By ensuring that these conditions are met, we can confidently identify a situation as a binomial scenario.
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Simplify the expression to a polynomial in standard form
(x+6)(3x² + 4x − 3)
Answers
Answer:
3x^3 -8*x^2 + 8*x + 3
Step-by-step explanation:
The standard form for a plolynomial is:
a*x^n + b*x^(n-1) + c*x^(n - 2) ........
We have:
(x-1)(3x^2-5x-3)
this is equal to:
3*x^3 - 5*x^2 + 3*x - 3*x^2 +5*x + 3
where the thing that i did is distribute the multiplication
this is equal to:
3x^3 -8*x^2 + 8*x + 3
The first approximation of 537 can be written a b' where the greatest common divisor of a and bis 1, with a= type your answer... b = = type your answer...
Answers
The first approximation of 537 can be written as a = 536 and b = 1, where the greatest common divisor of a and b is 1.
In number theory, the greatest common divisor (GCD) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. In this case, since a = 536 and b = 1, the GCD of a and b is 1. This means that 536 and 1 have no common factors other than 1.
The first approximation of 537 can be expressed as a product of these two numbers, a and b, where a represents the larger part of the approximation and b represents the smaller part. In this case, a is equal to 536, and b is equal to 1. Since the GCD of a and b is 1, it indicates that 536 and 1 have no common factors other than 1. This approximation may not be the most accurate, but it satisfies the condition of having a GCD of 1.
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Which statement describes the rate of change of the following function?
f(x) = 2x - 8
OA. The function has a varying rate of change when x < 8.
OB. The function has a varying rate of change when x> 2.
OC. The function has a constant rate of change, increasing for all x at a rate of 2.
OD. The function has a constant rate of change, decreasing for all x at a rate of 8.
Answers
What is the maximum value of the transformed function, y = -3cos (2x - 8) + 5
A. 3 units
B. 5 units
C. 8 units
D. 11 units
Answers
Answer:
C. 8 units.
Step-by-step explanation:
The maximum value of the cosine ( cos) function is 1
So, for y = 3cos(2x - 8) + 5
Maximum value is 3 *1 + 5 = 8.
y = -3cos(2x - 8) + 5 is the above graph reflected in the y axis so the maximum value is also 8.
If one gallon of water is approximately 75,000 drops of water, how many gallons is 1 million drops of water
Answers
Answer:
13
Step-by-step explanation:
13x75000=975000
Check for reasonableness...
975000/75000=13
So the answer is 13 gallons.
P.S. There will still be 25,000 drops left, which is 1/3 of a gallon.
1. A bag contains 12 mangoes, of which 4 are not ripe.
What is the chance of picking at random a ripe mango from the bag ?
2. There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is
red ?
3. What is the number of all possible outcomes of tossing a fair die ?
4. A boy throws a fair die once. What is the probability of getting the number 4 ?
5. There are 10 red and 15 green balls in a bag.
Find the probability of selecting at random a red ball from the bag.
Answers
Answer:
1. 2/3 or 66.7%
2. 3/5 or 60%
3. 6
4. 1/6 or 16.7%
5. 2/5 or 40%
Step-by-step explanation:
fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)
Answers
Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.
Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)
whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as
:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1
(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,
the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:
A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17
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Li has n points, jamie has 7 more than 5 times the number of points li has37 marbles. How many marbles does Parmit have?
Answers
Jamie has 7 more than 5 times the number of points Li has, which is 5n + 7. Therefore, Parmit has 7 marbles.
Parmit has 7 marbles.
Li has n points. Jamie has 7 more than 5 times the number of points Li has, which is 5n + 7.
Therefore, Parmit has 7 marbles.
Li has an unknown number of points, denoted as n. Jamie has 7 more points than the product of 5 and Li's points, meaning that Jamie has 5n + 7 points. Since we know that Jamie has 37 marbles and Li has n points, Parmit has 7 marbles. This can be calculated by subtracting the sum of Li's points and Jamie's points from the total number of marbles. Therefore, Parmit has 7 marbles.
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Each ferry in the Sydney Harbour has a capacity of 230 people. If there are 9 ferries in operation today, how many people could travel using this service today?
Answers
Answer:
2070
Step-by-step explanation:
Multiply 230 people by 9 ferries, if each ferry is used once.
A bus completed its journey of 320km with an average speed of 40 km per hours . How long does the bus takes to complete the journey if its average speed is increased to 56 km per hours ?
plzzz I need answer fast !!
Answers
Answer:
5.7 hours
Step-by-step explanation:
average speed = distance / time
rewriting gives
time = distance / average speed.
distance = 320 km
average speed = 56 km/hour
so
time = 320 / 56 = 5.7 hours
which of the following is true about the expected value of perfect information?
a. It is the amount you would pay for any sample study.
b. It is calculated as EMV minus EOL.
c. It is calculated as expected value with perfect information minus maximum EMV.
d. It is the amount charged for marketing research.
Answers
The expected value of perfect information (EVPI) is calculated as EVwPI minus maximum EMV. It quantifies the value of perfect information in decision-making.
The expected value of perfect information (EVPI) is a concept used in decision analysis. It represents the maximum amount of money an individual would pay to have perfect information about an uncertain event before making a decision.
To calculate EVPI, you start with the expected value with perfect information (EVwPI), which is the expected value when you have complete and accurate information about the uncertain event. Then, you subtract the maximum expected monetary value (EMV) from the EVwPI.
The EMV represents the expected monetary value of the decision without any additional information. By subtracting the maximum EMV from the EVwPI, you are essentially measuring the value of the additional information in terms of monetary gain.
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The sum of two numbers is 25 one number is twice the second number plus seven What are the two numbers
Answers
Answer:
The two numbers are 6 and 19
Step-by-step explanation:
Assume that the two numbers are x and y
We are given that:
The sum of the two numbers is 25
This means that:
x + y = 25 ..........................> equation 1
We are also given that:
One number is twice the other plus 7
This means that:
x = 2y + 7 ..........................> equation 2
Substitute with equation 2 in equation 1 and solve for y:
2y + 7 + y = 25
3y + 7 = 25
3y = 18
y = 6
Now, substitute with the value of y in equation 2 to get x as follows:
x = 2y + 7
x = 2(6) + 7
x = 12 + 7
x = 19
Based on the above, we can conclude that the two numbers are:
6 and 19
Hope this helps :)
x+y=25 => x=-y+25
x= 2y+7
x=-y+25
x=2y+7
subtract the first equation from the 2nd
0=3y-18
y=6
x=19
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