Answers
two points could be (-3,-3) and (0,-1)
slope = (-1 - -3)/(-3-0) = 2/3
an equation for the line can be written using the slope and the y intercept (y value when x=0)
y = (2/3)x - 1
to find the a and b values look at the graph along the x and y axis. you can also count 2 points up and 3 points left from (0,-1) until you reach that point since it has the same slope. a=3, b=1
the y coordinate when x=0 is -1 because that is the y intercept
Related Questions
The accompanying figure shows the velocity v= ds/dt=f(t) (m/sec) of a body moving along a coordinate line.
a. When does the body reverse direction?
b. When is it moving at a constant speed?
c. Graph the body's speed for 0≤t≤10.
d. Graph the acceleration, where defined.
Answers
The values on the graph of the velocity of the body, indicates that we get;
a. t = 2 seconds and t = 7 seconds
b. 3 ≤ t ≤ 6
c. Please find attached the speed of the body in the interval 0 ≤ t ≤ 10 created with MS Excel
b. Please find attached the acceleration of the body in the interval 0 ≤ t ≤ 10
What is velocity?Velocity is the rate of change of the position of an object with respect to a specified reference frame and time.
The figure is a velocity time graph, and the velocity of an object is the rate of change of the displacement with time, such that when graph is above the horizontal axis, the velocity is positive, and when the velocity is below the horizontal axis, the velocity is negative, therefore, we get;
a. When the velocity of the changes sign, the direction of the body reverses. The points at which the velocity changes sign, which are the x-intercepts are at t = 2, and t = 7
b. The speed is constant when the velocity remains the same, which are locations on the graph, where the graph is an horizontal line. Therefore, the interval at which the body is moving at a constant velocity is; 3 ≤ t ≤≤6
c. The speed of a body is its absolute velocity, which can be found from the graph by taking the absolute value of the velocity at each point on the graph as follows;
The points on the resulting graph will therefore be; (0, 0), (1, 4), (3, 4), (6, 4), (8, 4) and (10, 0).
Please find attached the speed of the body in the interval 0 ≤ t ≤ 10
d. The acceleration is the rate of change of the velocity of the body with time. The acceleration of the body which has a velocity graph consisting of straight lines is a piecewise constant graph, such that we get;
From t = 0 to t = 1, a = (4 - 0)/(1 - 0) = 4
From t = 1 to t = 3, a = (4 - (-4))/(1 - 3) = -4
From t = 3 to t = 6 , a = (-4 - (-4))/(6 - 3) = 0
From t = 6 to t = 8, a = (4 - (-4))/(8 - 6) = 4
From t = 6 to t = 10, a = (0 - 4)/(10 - 8) = -2
Please find attached the graph of the acceleration of the body, created with MS Excel
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A 2-column table with 6 rows. The first column is labeled x with entries negative 1, 0, 1, 2, 3, 4. The second column is labeled f of x with entries negative 9, negative 8, negative 7, 0, 19, 56.
What is the x-intercept of the continuous function shown in the table?
(0, –8)
(0, 2)
(–8, 0)
(2, 0)
Answers
Answer: i think option c
Step-by-step explanation:
If you buy 10 pounds of lettuce for $70, what is the rate which one pound of lettuce costs?
Answers
Answer:
$7/lb
Step-by-step explanation:
$70 / 10 lb = $7/lb
Answer:
$7 per pound of letuce
Step-by-step explanation:
We know
10 pounds = $70
1 pounds = ?
We cross multiply and get:
$7 per pound of letuce
So, the answer is $7 per pound of letuce
Calculate the distance between the points P=(-1, -1) and A=(2, 7) in the coordinate plane. Round your answer to the nearest hundredth.
Answers
Using the distance formula, \(AP=\sqrt{(-1-2)^2+(-1-7)^2} \approx \boxed{8.54}\)
In the year that this exercise was written, there were 611 challenges made to referee calls in professional tennis single ppay. Among these challenges, 172 were upheld with the cell overturned. Assume that 30% of the challenges were successfully upheld with the cell overturned. Find the probability amonng the 611 challenges the number of overturned calls is exactly 172.
Answers
Answer:
i use this formula at school but when i simply calculate at my calculator, it says "math error" . i am sorry but i hope this formula helped
A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes per order through bin location and routing optimization. You are given an opportunity visit an existing customer of the vendor. The customer allowed you to collect data for further analysis. You performed a time study and collected data about pick, pack ship duration of 25 shipments. Given, the data in the attached excel sheet
(Q1) perform a hypothesis testing by Use alpha=0.05 for hypothesis testing.
a. Stating your null and alternate hypotheses
b. Perform the proper hypothesis test and discuss your assessment of the vendor's claim.
Answers
Answer:
a
The null hypothesis is \(H_o : \mu = 180\)
The alternative hypothesis is \(H_a : \mu < 180\)
b
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 3 \ minutes = 180 \ seconds \)
The sample size is n = 25
The excel sheet is show on the first uploaded image
The level of significance is \(\alpha = 0.05\)
The null hypothesis is \(H_o : \mu = 180\)
The alternative hypothesis is \(H_a : \mu < 180\)
Generally the sample mean is mathematically represented as
\(\= x = \frac{156 + 136 + \cdots + 181}{25}\)
=> \(\= x = 173.2 \)
Generally the standard deviation is mathematically represented as
\(\sigma = \sqrt{\frac{\sum (x_i - \= x )^2 }{n} }\)
=> \(\sigma = \sqrt{\frac{ (156 - 173.2 )^2 + (136 - 173.2 )^2 + \cdots + (181- 173.2 )^2 }{25} }\)
=> \(\sigma = 24.261\)
Generally the test statistics is mathematically represented as
\(t = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }\)
=> \(t = \frac{173.2 - 180 }{\frac{24.261}{\sqrt{25} } }\)
=> \( z = -1.40\)
Generally p-value is mathematically represented as
\(p-value = P(Z < z)\)
=> \(p-value = P(Z < -1.40)\)
From the z-table
\(P(Z < -1.40) = 0.080757\)
=> \(p-value = 0.080757 \)
From the obtained value we that \(p-value > \alpha\)
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
Draw the improper fractions
Answers
If y varies directly as x and x=6 when y = 3 what will y be when x = 10
Answers
Answer:
y = 5
Step-by-step explanation:
Round to the nearest whole number and cluster to give an estimate for 15.23 + 12.8 + 4.93 + 7.21.
Answers
Answer:
the answer is 40
Step-by-step explanation:
15.23+12.8+4.93+7.21=40.17 then you round 40.17 to 40
Answer:
40
Step-by-step explanation:
15.23 + 12.8 + 4.93 + 7.21
27.31 + 12.34
39.65
round the number to a whole number
40
There is 14 feet of fencing available to enclose a rectangular region. For what
Answers
The maximum area is 12.25 square feet
How to determine the maximum areaFrom the question, we have the following parameters that can be used in our computation:
Perimeter = 14 feet
This means that
P = 2(l + w)
So, we have
2(l + w) = 14
Divide by 2
l + w = 7
Make l the subject
l = 7 - w
The area is calculated as
A = lw
So, we have
A = (7 - w)w
Expand
A = 7w - w²
Differentiate and set to 0
7 - 2w = 0
So, we have
w = 3.5
Substitute w = 3.5 in A = (7 - w)w
A = (7 - 3.5) * 3.5
Evaluate
A = 12.25
Hence, the area is 12.25 square feet
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Complete question
There is 14 feet of fencing available to enclose a rectangular region. For what value of area is the area maximum
Can someone help me
Answers
Answer:
Y = -½x + 3/2
Y = -3x + 5
Y = 1/4x - 3¼
Step-by-step explanation:
Parallel implies they have the same gradient
Perpendicular implies the gradient is a negative reciprocal of the other.
suppose y varies directly as x, and y=48 when x=6. find x when y=72.
Answers
Using the constant of proportionality the value of x when y is 72 is 9.
What is a COP?
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.
If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.
To find k, we can use the given information that y = 48 when x = 6 -
y = kx
48 = k(6)
k = 8
Now that we know k, we can use it to find x when y = 72 -
y = kx
72 = 8x
x = 9
Therefore, when x = 72, the value of x = 9.
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answer quickly please Which number is the BASE?
2 = 8
Answers
Answer:
The base of the number is 8
3.6= − a/0.8 − 1.6 − 0.8 a −1.6
Answers
The value of a for the given expression will be -3.31.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a −1.6. The value of a will be calculated as below,
3.6 = − a/0.8 − 1.6 − 0.8 a −1.6
3.6 + 1.6 + 1.6 = -a / 0.8 - 0.8a
6.8 = ( -a - 0.64a ) / 0.8
5.44 = -1.64a
a = -3.31
Therefore, the value of a will be -3.31.
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Taranique loves to play the floating duck game at the carnival. For $2.00 per try, she gets to choose one duck out of 50 swimming in the water. If taranique is lucky, she will pick one of the 8 winning ducks and go home with a pink teddy bear. What is the expected value of the game for Taranique if the value of the prize is $5.00?
Answers
Answer:
$1.20
Step-by-step explanation:
First we need to find the probability of winning the game.
If there are 8 winning ducks among 50 ducks, and we can pick only one, the probability of winning is 8/50 = 0.16, therefore the probability of losing the game is 1 - 0.16 = 0.84.
The player pays $2 to play, so if the player loses, the owner of the game wins $2, and if the player wins, the owner loses $3 (he receives $2 but pays the prize of $5).
Now, to find the expected value of the game, we just need to multiply the price of winning by the corresponding probability and summing with the same product but related to losing the game:
\(Expected\ value = p(winning)*v(winning) + p(losing)*v(losing)\)
\(Expected\ value = 0.16 * (-3) + 0.84 * (2)\)
\(Expected\ value = \$1.20\)
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answers
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
The following table shows the world record times for the 200m race for flying start machines (a kind of bicycle). Find the line of best fit model, R(t) , that represents the world record times , t, since 1970. Before determining the equation , we need to convert all years to years since 1970. The first two rows are completed for you . Complete the rest of the table with the correct years since 1970 . After completing the table , use Excel to create a linear regression equation using only the second two columns . Do not use any spaces in your submission .
Answers
Using a calculator, the linear regression equation is given by:
R(t) = -0.22552t + 10.89293.
What is the missing information?The table of values is missing, and the values are as follows:
Years since 1970: 4, 5, 6, 7, 9, 15, 16, 22.Record time: 10.4, 10, 9.4, 9.1, 8.8, 7.2, 6.8, 6.5.How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, inserting the points (Years since 1970, Record Time), the regression line is given as follows:
R(t) = -0.22552t + 10.89293.
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During an experiment, the current in a circuit was measured 8 times and recorded as shown below. Calculate the standard deviation of the current to two decimal places.
Answers
Standard Deviation for given set of data is 0.25634797778466.
What is standard deviation?
Standard deviation is a measurement of how evenly distributed a set of numbers is. Since the variance is the squared average of the squared deviations from the mean, it represents the square root of the variance.For instance: To determine the standard deviation, sum all of the numbers inside this data set, divide by the total number of numbers, and the result is the standard deviation.Given that,
Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1
Count, N: 8
Sum, submission x: 97.6
Mean, x: 12.2
Variance, s2: 0.065714285714286
s^2 = Σ(xi - x)^2/N - 1
= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1
= 0.46/7
= 0.065714285714286
s = √0.065714285714286
= 0.25634797778466
Standard Deviation for given set of data is 0.25634797778466.
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What is the diameter of a hemisphere with a volume of 62617 cm³, to the nearest tenth of a centimeter?
Answers
The diameter of the hemisphere to the nearest tenth of a centimeter is 62.1 cm.
What is hemisphere?
A hemisphere is a three-dimensional geometric shape that consists of a half-sphere, which is a curved surface that is shaped like the surface of a ball, and a flat circular base that lies on a plane perpendicular to the sphere's axis of symmetry. A hemisphere can be thought of as the three-dimensional analogue of a circle.
The volume of a hemisphere is given by the formula:
V = (2/3)π\(r^3\)
where V is the volume and r is the radius of the hemisphere.
We are given the volume of the hemisphere as 62617 \(cm^3.\)
So, we have:
62617 = (2/3)π\(r^3\)
Multiplying both sides by 3/2π, we get:
\(r^3\) = 62617 * (3/2π)
Simplifying, we get:
\(r^3\) = 29897.4152
Taking the cube root of both sides, we get:
r ≈ 31.04
The diameter of the hemisphere is twice the radius, so:
d = 2r ≈ 62.08
Rounding to the nearest tenth, we get:
d ≈ 62.1
Therefore, the diameter of the hemisphere to the nearest tenth of a centimeter is 62.1 cm.
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Can someone help me with this geometry question?A.Triangular prismB.Hexagonal prismC.Triangular pyramidD.Hexagonal pyramid
Answers
B. Hexagonal Prism
1) One prism is defined, in terms of naming it by the base.
2) Counting the edges of the base in this net surface, we can tell that this is a Hexagonal Prism for the base is a hexagon.
For the function F(x)=2x+15x−2, evaluate F(−6)
Answers
Answer:
11/32
Step-by-step explanation:
To find F(−6), substitute −6 for x in F(x) and simplify.
Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. a. What kind of a distribution does X have (name and values of all parameters)
Answers
Answer:
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
Step-by-step explanation:
The people are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time.
This means that \(N = 18, k = 8\)
We consider a success being a person taking the test for the first time, because X is the number among the six who are taking the test for the first time.
Suppose that six of these individuals are randomly assigned to a particular examiner.
This means that \(n = 6\)
a. What kind of a distribution does X have (name and values of all parameters)
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
Elam can wire a light in 40
minutes. Michael can wire a
light in 60 minutes. How long
would it take them to wire the
light together?
Answers
Answer:
24 minutes
Step-by-step explanation:
We use 1/a + 1/b = 1/c
where a and b are the individual times and c is the time together
1/40 + 1/60 = 1/c
Multiply each side by 120c
120c( 1/40 + 1/60 = 1/c)
3c + 2c = 120
5c = 120
Divide each side by 5
5c/5 = 120/5
c = 24
Answer: 24 minutes
Step-by-step explanation: To solve this kind of a problem which is called a work problem, it's important to understand the following idea.
Since Elam can wire a light in 40 minutes, we know that in 1 minute,
Elam can wire 1/40 of the light and in 2 minutes, Elam can wire 2/40 of it.
Therefore, in t hours, Elam can wire t/40 of the light.
The same applies for Michael, in t hours, he can wire t/60 of the light.
So to solve the problem, we use the following formula:
Part of job done by Elam + part of job done Michael = 1 job done
The part of the job done by Elam is t/40 and t/60 for Michael.
So we have t/40 + t/60 = 1.
Now multiply both sides by 120 to get 3t + 2t = 120
or 5t = 120 so t = 24.
So it takes 24 minutes if they work together.
NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12
Answers
Answer: b = 11.62
Step-by-step explanation:
We can use this formula to solve for b:
\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)
\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)
\(b^2= \sqrt{144-9}\)
= 11.61895004
We can round that to 11.62.
Hope this helped!
2
Which fractions are equivalent to ? Choose ALL the correct answers.
4
4
6
4
6
8
6
12
57
Answers
Answer:
Step-by-step explanation:
4/4
8/6
4/6
1. Based on the circular
angle below. What is the
best measurement
the angle?
for
a. less than 90°
b. more than 90°
C. more than 180°
d. less than 60°
Answers
Answer:
B. More than 90
Step-by-step explanation:
Hope this helps!
If A(0, 4), B(5, y), and AB = 13. What is y?
Answers
The required value of y for the given segment AB is given as y = 16, -8.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
A(0, 4), B(5, y), and AB = 13.
Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]
Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12
y = 16, -8
Thus, the required value of y for the given segment AB is given as y = 16, -8.
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Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:
Answers
Answer:
The minimum exam score to be awarded an A is about 8.52.
Step-by-step explanation:
Let X represent the scores on a common final exam.
It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.
It is provided that according to the department policy is that the top 10% of students receive an A.
That is, P (X > x) = 0.10.
⇒ P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The corresponding z-score is:
z = 1.28
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)
Thus, the minimum exam score to be awarded an A is about 8.52.
What is the sec 132 degrees 15 minutes in degrees
Answers
The sec 132 degrees 15 minutes in degrees is approximately -1.638 degrees.
What is the sec function?The secant function, denoted as sec(x), is a trigonometric function that is defined as the reciprocal of the cosine function, cos(x).
In other words,
sec(x) = 1 / cos(x)
The secant function is defined for all values of x except for those where the cosine function is equal to zero, which corresponds to the values x = (2n+1)π/2 where n is an integer. At these points, the secant function is undefined.
According to the given informationTo convert sec(132 degrees 15 minutes) to degrees, we first need to convert the angle to decimal degrees.
We know that 1 degree is equal to 60 minutes, so 15 minutes is equal to 15/60 = 0.25 degrees.
Therefore, the angle 132 degrees 15 minutes is equal to 132 + 0.25 = 132.25 degrees.
Now we can find the secant of this angle:
sec(132.25 degrees) = 1/cos(132.25 degrees) ≈ -1.638
So the answer is approximately -1.638 degrees.
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how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
Answers
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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