The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked.
Which statement best describes the rate of change for this situation?
A. The worker earns $40 per hour.
B. The worker earns $8 per hour.
C. The worker earns $10 per hour.
D. The worker earns $320 per hour.
Answers
Option B - The worker earns $8 per hour is the correct alternative.
We have a graph that shows the relationship between the number of dollars a worker earns and the number of hours worked.
We have to select the statement which best describes the rate of change for this situation.
How do you calculate the Slope of Line ?The slope of a line can be calculated using -
[tex]$m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
According to the question, we have two coordinate points marked on the graph -
P(20, 60)
Q(40, 320)
Using the formula to calculate the slope of a line, we get -
[tex]$m = \frac{320-160 }{40 -20 }[/tex]
m = 8
We know that the slope of the line represents the rate of change of y with respect to x. Therefore, the worker earns $8 per hour.
Hence, Option B is correct.
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Related Questions
Write the equation of the line (in slope-intercept form) where: slope = 1/4 and y-intercept = (0, -5)
Answers
Answer:
y=1/4x-5
Step-by-step explanation:
The formula is y=mx+b
m=slope, slope= 1/4
b= y-intercept, which equals -5.
Since there is a negative before the 5, instead of doing y=mx+b, you have to do y=mx-b.
The final formula would look like y=1/4x-5
A random Gaussian process x has a mean of 2.5 and variance of 0.36. Calculate the probability of the random variable having a value less than 3.
Answers
Answer: 0.79758
Step-by-step explanation:
Given that :
Mean (m) = 2.5
Variance = 0.36
Thw standard deviation = sqrt(variance) = sqrt(0.36) = 0.6
The probability of the random variable having a value less than 3 is obtained by:
P(x < 3)
Using the relation to obtain the standardized Zscore :
Z = (x - m) / s
Z = (3 - 2.5) / 0.6
Zscore = 0.8333333
p(Z < 0.833) = 0.79758 ( Z probability calculator)
A scooter travels 30 feet in 2 seconds at a constant speed.
Answers
Answer:
The scooter is going faster.
Step-by-step explanation:
30/2 = 15ft/s
55/4 = 13.75ft/s
(the question was cut off so I used the information I had) Hope this helped!
4. Write as a fraction in simplest form: 38 minutes to 12 minutes
Answers
Answer:
3 ⅙
Step-by-step explanation:
38 and 12’s common factor would be 2. Now the fraction is 19/6.
How many 6’s can fit into 19? 3. With a remainder of 1 we have:
3 ⅙
Given m||n, find the value of x;
Answers
Answer:
i think its 24 because its the alternate exterior so it should be the same.
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
KJananwnwwnnwnwnwnwnw
It takes Molly 8 minutes to shovel her driveway after a snowstorm working by herself. It takes her elderly neighbor 24 minutes to shovel his driveway working by himself. How long would it take Molly and her neighbor to shovel the neighbor's driveway working together, assuming both driveways have the same dimensions?
Answers
Answer:
Step-by-step explanation: it will take 16 minute
If QRST is a kite, find the measure of QRS
Answers
Answer:
!!!!
137°
i took the test and that was the right answer.
Step-by-step explanation:
QRST is a kite therefore, the value of angle QRS in the kite is 137 degrees.
Properties of a kiteOne pair of opposite angles is equal.Diagonals are perpendicular to each other.The sum of angles in the kite is 360 degrees.
Therefore,
79 + 79 + 11x - 6 + 4x + 13 = 360
158 - 6 + 13 + 11x + 4x = 360
158 + 7 + 15x = 360
15x = 360 - 158 - 7
15x = 195
divide both sides by 15
x = 195 / 15
x = 13
Therefore,
∠QRS = 11(13) - 6 = 143 - 6 = 137 degrees.
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makayla is painting her house.each room needs 1/2 gallon of paint if she has three gallons of paint,how many rooms can she paint?
Answers
Answer:
6 rooms.
Step-by-step explanation:
3 x 2 = 6
it takes 2 halves to make a whole so 3 x 2 = 6
what would the value (s) for n will make the expression true |n| = 3.5
Answers
Answer:
3.5
Step-by-step explanation:
3.5
because it is
okay
The distribution of sample means for monthly employee income at a particular company for samples of 70 employees is normal, with a mean of $5971 and a standard deviation of $219 . You take a random sample of 70 employees from the company and find that their mean monthly income is $5 comma 751 . How many standard deviations is the sample mean from the mean of the distribution of sample means? Round to one decimal place.
Answers
Answer:
The value is [tex]z = -8.4[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 70
The mean is [tex]\mu = \$ 5971[/tex]
The standard deviation is [tex]\sigma = \$ 219[/tex]
The sample mean is [tex]\= x = \$ 5751[/tex]
Generally the number of standard deviations the sample mean is from the mean of the distribution is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]
=> [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]
=> [tex]z = -8.4[/tex]
Waiting Line Models:Movies tonight is a typical video and dvd movie rental outlet for home-viewing customers. During the weeknight evening, customers arrive at Movies Tonight with an arrival rate of 1.25 customers per minute. The checkout clerk has a service rate of 2 customers per minute/ Assume Poisson arrivals and exponential service times.a. What is the probability that no customers are in the system?b. What is the average number of customers waiting for service?c. What is the average time a customer waits for service to begin?d. What is the probability that an arriving customer will have to wait for service to begin?e. Do the operating charachteristics indicate that the one-clerk checkout system provides and acceptable level of service?
Answers
Answer:
Probability [No customers in system] = 0.375Customers waiting for service = 25/24Average time customer wait = 1.25/1.5May be waitPer customer average time = 1.33 (Approx)Step-by-step explanation:
Given:
Arrival rate λ = 1.25 min
Mean μ = 2
Computation:
(a) Probability [No customers in system]
Probability [No customers in system] = 1-[λ/μ]
Probability [No customers in system] = 1-[1.25/2]
Probability [No customers in system] = 0.375
(b) Customers waiting for service
Customers waiting for service = λ²/ [μ(μ-λ)]
Customers waiting for service = 1.25²/ [2(2-1.25)]
Customers waiting for service = 25/24
(c) Average time customer wait
Average time customer wait = λ / [μ(μ-λ)]
Average time customer wait = 1.25/ [2(2-1.25)]
Average time customer wait = 1.25/1.5
(d) May be wait because Customers waiting for service = 25/24
(e) Per customer average time
Per customer average time = 1/(μ-λ)
Per customer average time = 1/(2-1.25)
Per customer average time = 1.33 (Approx)
is anyone knows the answer tell me please thank you .
Answers
Answer:
there is no question attached
Step-by-step explanation:
please help!Thank you so much
Answers
Answer:
An equation is a math sentence that DOES contain an equals sign (=).
The inverse of addition is subtraction.
The inverse of subtraction is addition.
The inverse of multiplication is division.
The inverse of division is multiplication.
Step-by-step explanation:
I'm sorry if I got the first one incorrect.
40x + 100≈/10
sorry if that equation is misunderstood...its a fraction
Answers
Answer:
now me good boy
x=4
What is incorrect About this proof? What needs to be done to correct it?why ?
Answers
On a horizontal number line, -45 is located to the left of -35
Answers
Answer:
true
Step-by-step explanation:
on a numberline, -45 is smaller than -32, so therefore -45 is to the left.
An inequality that represents the statement "on a horizontal number line, -45 is located to the left of -35" is -45 < -35.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality uses the less than symbol, <, to indicate that one number is to the left of the other on the number line.
The number on the left side of the inequality is -45, and the number on the right side is -35. This inequality is true because -45 is indeed located to the left of -35 on the number line.
Thus, the inequality that expresses the phrase "on a horizontal number line, -45 is to the left of -35" is -45 < -35.
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The question seems to be incomplete the correct question would be:
On a horizontal number line, -45 is located to the left of -35.
Find an inequality that represents this statement.
Find the distance between the two points in simplest radical form.
(-2,-1) and (-8,7)
Answers
Answer:
The distance in radical form is √100 (which is equal to 10units
Step-by-step explanation:
Distance=√(-8--2)²+(7--1)²
D=√(-6)²+(8)²
D=√36+64
D=√100
D=10units
Oscar is going to buy a limited-edition soccer ball that costs $30, and the sales tax is 6%. What is the total cost?
Answers
Answer:
your answer is 31.80
Step-by-step explanation:
...
Step-by-step explanation:
...................mmmm.
Fred, Norman, and Dave own a total of 128 comic books. If Dave owns 44 of them, what is the average
(arithmetic mean) number of comic books owned by Fred and Norman?
Answers
Answer:
[tex]Mean = 42[/tex]
Step-by-step explanation:
Given
Represent Fred with F; Norman with N and Dave with D.
[tex]Total = 128[/tex]
[tex]D = 44[/tex]
Required
Determine the arithmetic mean of F and N
First, we have that:
[tex]F + N + D = 128[/tex]
Substitute 44 for D
[tex]F + N + 44 = 128[/tex]
Subtract 44 from both sides
[tex]F + N + 44 - 44 = 128 - 44[/tex]
[tex]F + N = 84[/tex]
Arithmetic mean of F and N is calculated as follows:
[tex]Mean = \frac{F + N}{2}[/tex]
[tex]Mean = \frac{84}{2}[/tex]
[tex]Mean = 42[/tex]
Suppose that an individual has a body fat percentage of 12.7% and weighs 132 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answers
Answer:
just go with your heart
The angle of elevation from a pothole to the top of a lamp post is 33°
33°. The horizontal distance from the pothole to the base of the lamp post is 44 feet. How tall is the lamp post?
a) 28.6 ft
b) 23.9 ft
c) 67.8 ft
d) 55 ft
Answers
Answer:
a) 28.6ft
Step-by-step explanation:
tan(33)= x/44
x/44= tan(33)
x/44=.65
x= 44* .65
x= 28.6
PLEASE HELP DUE IN 5 minutes
James earns $12 per hour for working at an appliance store. He also earns a weekly bonus of $36 if he makes a total of 7 or more sales during a given week Last week , James made 7 sales and earned a total of $300 for x hours of working at the appliance store . How many hours did James work?
Answers
Answer:
22 hours
Step-by-step explanation:
12 per hour.
$36 = 7 sales.
(300-36)/12=22
So 22 hours.
Hope this helps plz hit that crown !!!
James worked for 20 hours.
what is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given here, James earns $12 per hour and weekly bonus of $36 if he makes a total of 7 or more sales during a given week and earned a total of $300 . Let the time that James worked for be x , then we can form an equation;
36 + 12x = 300
⇒ 12x = 240
⇒ x = 20 hours
Hence, James worked for 20 hours.
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Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its prime factors it becomes 43*47. Yes, it resolves into 2 CONSECUTIVE 2 digit prime numbers, which does NOT happen that often. The last time this occurred was in 1927 (41 * 47). However these are NOT consecutive prime numbers. (There's another prime number between 41 and 47). If we go back to 1763 (41 * 43), it resolves into two 2-digit CONSECUTIVE primes AND they are TWIN primes (prime numbers with a difference of 2).
And now, here's the question: Can anyone find some interesting factorizations of upcoming years? For example, the year 2033 = 19*107 and the year 2041 = 13*157. In each case the factors are less than 10. Obviously, this is not THE most vital question, so don't spend too much time on it. (Although I've been told that a solution will finally bring about World Peace!!! ) LOL
Answers
Answer:
As 2021 and 1927 does not have any product of primes
HCF and LCM of 2020 and 1926 is shown below
Step-by-step explanation:
2020 = 2^2 × 5 × 101
1926 = 2 x 3^2 x 107
2 is the HCF
2 x 2 x 3 x 3 x 5 x 101 x 107 = 1945260
1945260 is the LCM
2022 and 1928 both have product of primes and their HCF and LCM is
1949208 is the LCF and 2 is the HCF
1949208 - 1945260 = 3948
3948/2 = 1974
2022-1928 = 94
2020 - 1926 = 94
1974/94 = 21
and brings us back to our year again.
Happy New Year to you.
Line M contains points (4,3) and (1,2). Write a possible equation of line K that is
perpendicular to line M.
Answers
This is what I got from calculating it but I haven’t done this type of equation in a while
Which table shows exponential decay?
Answers
Rewrite the following expression in logarithmic form:
2^9=512
Answers
Answer: log(2) 512= 9
Step-by-step explanation:
A P E X ;)
In logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:
[tex]log_{(2)}\ 512 = 9[/tex]
As we know that the logarithmic form allows us to express the exponent as the logarithm of the base to a certain value, which in this case is 9.
To understand this, let's break down the expression.
The base of the logarithm is 2, and the result of raising 2 to the power of 9 is 512.
By taking the logarithm of 512 to the base 2, we get the exponent, which is 9.
So, in logarithmic form can be written as:
[tex]log_{(2)}\ 512 = 9[/tex]
Therefore, in logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:
[tex]log_{(2)}\ 512 = 9[/tex]
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what expression is equivalent to (5x^2+3x+4)- (2x^2+1)-(7x+3)
Answers
Answer:3x^2+(-)4x
Step-by-step explanation:
75% of 56
Pls help me
Answers
Answer:
42
Step-by-step explanation:
The graph shows a proportional relationship.
Which equation matches the graph?
A. y = 1/4x
B. y = 4x
C. y = 12x
D. y = x
Answers
Answer:
C
Step-by-step explanation:
The equation matches the graph is y= 4x.
the correct option is B.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have line graph from which we can consider two points as (1, 4) and (3, 12).
So, the slope of line
m = (12 - 4)/ (3-1)
m= 8/ 2
m= 4
Now, using slope intercept form
y= mx+b
y= 4x + b
Now, put x= 1 and y=4 in above equation
4 = 4 + b
b= 0
So, the Equation of line is y= 4x.
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Rewrite the equation y-31x= 93 as a function of x.
Answers
Answer:
g(x) = 31x + 93
Step-by-step explanation: