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Find an equation of the line that satisfies the given conditions.
Through (2, 9); parallel to the line passing through (3, 7) and (−1, 3)
9514 1404 393
Answer:
y = x +7
Step-by-step explanation:
The slope of the given line can be found as ...
m = (y2 -y1)/(x2 -x1)
m = (3 -7)/(-1 -3) = -4/-4 = 1
Then the point-slope form of the equation for the desired line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y - 9 = 1(x -2)
y = x -2 +9
y = x + 7 . . . . slope-intercept form
__
The attachment shows a graphing application that will write the equation of the line. Here, it shows the desired line has the equation ...
x -y = -7 . . . . desired line equation in standard form
write a real-world problem in which two negative integers are subtracted
Problem:
Mary was 12 (-12) feet below sea level, she sawm down another 5 feet (-5). How many feet below sea level is Mary?
(if needed) Answer: -17
The real-world problem in which two negative integers are subtracted is a person diving below the surface of a sea for 60 feet and 50 feet.
-60 - 50 = -110.
110 feet below the surface of the sea.
We have to write a real-world problem in which two negative integers are subtracted.
Let us consider that a person is at the surface of a sea before he dives deep.
The person started to dive below the surface and he was now 60 feet below the surface.
Again he started to dive deep to 50 feet below.
So the person is at how many feet below the surface: - 60 - 50 = -110 feet.
The person is 110 feet below the surface.
And -60 and -50 are the two negative integers subtracted.
Thus,
The real-world problem in which two negative integers are subtracted is a person diving below the surface of a sea for 60 feet and 50 feet.
-60 - 50 = -110.
110 feet below the surface of the sea.
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PLEASEEEEE HELP
A researcher is interested in determining theeffectiveness of a new medication that may reduce blood sugar levels for individuals who have
diabetes and a higher than average blood sugar level. To determine the effectiveness of the medication, the researcher uses 100 volunteers
who have diabetes. Volunteers are assigned randomly 50 milligrams of the medicine, 100 milligrams of the medicine, or a placebo. Blood sugar
levels are measured at the beginning and end of the study.
Part A: Identify the subjects, treatments, and response variable. (2 points)
Part B: What is the advantage of the random assignment of treatment? (3 points)
Part C: What is an advantage of using a placebo? (3 points)
Part D: What is a disadvantage of using volunteers? (2 points)
Answer:
A: The subjects are the 100 patients who are being studied. The treatments are the amount and type of medicine they are getting, or whether they are getting a placebo. Lastly the response variable is the blood sauger in the patients at the end of the experiment.
B: The advantage of the random assignment of treatment is that it reduces the possibility of bias and ensures that the treatments are the only factors that effect the response variable.
C: Using a placebo when experimenting ensures that the treatments are actually the ones causing the change in the response variables, and that the treatments themselves are not using the placebo effect.
D: Using volunteers can cause voluntary response bias. This is when members of the population are allowed to volunteer for an experiment. This could cause the sample used by the experiment to not accurately reflect the population as a whole.
Step-by-step explanation:
I am not positive that these answers are correct, but I am reasonably sure.
A regional office of the Internal Revenue Service randomly distributes returns to be audited to the pool of auditors. Over the thousands of returns audited last year, the average amount of extra taxes collected was $356 per audited return. One of the auditors, Jeffrey Jones, is suspected of being too lenient with persons whose returns are being audited. For a simple random sample of 30 of the returns audited by Mr. Jones last year, an average of $340 in extra taxes was collected.
Required:
Assuming a normal population of extra taxes collected with a standard deviation of $90, do the suspicions against Mr. Jones appear to be justified?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the justification against Mr. Jones appears not to be justified
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 356[/tex]
The sample size is n = 30
The sample mean is [tex]\= x = \$340[/tex]
The standard deviation is [tex]\sigma = \$ 90[/tex]
The null hypothesis is [tex]H_o : \mu = \$ 35 6[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne \$ 35 6[/tex]
Let assume the significance level is [tex]\alpha = 0.05[/tex]
Generally the test statistic is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]
=> [tex]t =-0.9737 [/tex]
Generally the sample size from the question is small that it is not greater than 30 hence we use t-test
Now the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 30- 1[/tex]
=> [tex]df= 29[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P (t > -0.9737 )[/tex]
Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of [tex]df= 29[/tex] for a two -tailed test is
[tex]P (t > -0.9737 ) = 0.33825793[/tex]
Hence p-value is
[tex]p-value = 2*0.33825793[/tex]
[tex]p-value = 0.676 [/tex]
From the value we obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the justification against Mr. Jones appears not to be justified
A thermometer shows a temperature of Negative 20 and three-fourths degrees. A chemist recorded this temperature in her notebook using a decimal. Which number did the chemist write in the notebook?
Negative 21.ModifyingAbove 4 with bar
Negative 21.ModifyingAbove 3 with bar
Negative 20.75
Negative 20.34
Answer:
The answer is C.
Step-by-step explanation:
3/4 is equal to 0.75. If you combine 0.75 with -20, then it is 20.75.
Answer:
C
Step-by-step explanation:
-8.2, 6, -3.5, 8.2, -5
Least to greatest
_________________________
-3/4, -1, 5/4, 2
Greastest to least
_________________________
-0.5, 1.5, 0, -5, 1.25
Greatest to least
How can you best rearrange the terms in the following expression to create an equivalent expression that would be easier to simplify?
−4(y−5)+2y−77
Answer:
-4y + 20 + 2y - 77
Step-by-step explanation:
Apply the distributed property, so it now looks like this: -4y -(-20) + 2y-77Simplify: -4y + 20 + 2y - 77I hope this helps!
We
Shannon makes and sells picture frames. She charges different rates depending on the material she uses for the frame Shannon sold a frame
for $45. Which type of frame did Shannon sell? Use the drop-down menus to show and explain your answer
Frame Prices
Wood frame
$18
Metal frame
1.5 times wood frame rate
2.5 times wood frame rate
Silver-plated frame
Shannon bought the Choose
frame because 45
Choose...
= $18, which is the wood frame rate.
Answer: Shannon sold the silver plated frame because 45 divided by 2.5 = $18, which is the wood frame rate.
Step-by-step explanation:
I know this because 45 divided by 2.5 = $18 And that’s the silver plated frame.
1 5/16 divided by 7/12
simplify 12x⁵y² ÷ 3x²y
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
Ellie read an article claiming that 10% of people in her county were senior citizens, and she thought that it may be higher for residents in her city. She took a random sample of 225 people from her city and found that 36 of them were senior citizens. She wants to test H0:p=0.10 versus Ha:p > 0.10, where p is the proportion of people in her city that are senior citizens. Assuming that the conditions for inference have been met.
Required:
Calculate the test statistic for Ellie's significance test.
Answer:
The value is [tex]z = 3[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion of senior citizens is [tex]p = 0.10[/tex]
The sample size is [tex]n = 225[/tex]
The number of senior citizens is k = 36
The null hypothesis is [tex]H_o : p = 0.10[/tex]
The alternative hypothesis is [tex]H_a : p > 0.10[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^{p} = \frac{k}{n}[/tex]
=> [tex]\^{p} = \frac{ 36 }{225}[/tex]
=> [tex]\^{p} =0.16[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^{p} - p }{\sqrt{\frac{p(1 -p )}{n} } }[/tex]
=> [tex]z = \frac{0.16 - 0.10 }{\sqrt{\frac{p(1 -0.10)}{225} } }[/tex]
=> [tex]z = 3[/tex]
Answer:
P-value ≈ 0.0588
Step-by-step explanation:
4x = 7y + 5 what is the slope
Step-by-step explanation:
7y=4x-5
y=(4/7)x-5/7
slope is equal to m where m is
y=mx+b
in this case m is 4/7
so slope =4/7
PLZ HURRY IT'S URGENT!!!
What is the slope of the line?
y=3
options:
0
1
3
undefined
Answer:
0
There is no x or number with an x (example: y= 2x+3, the 2 would be the slope)
Answer:
0
Step-by-step explanation:
Angle 9 and angle 8 are what kind of angles? *
2
8/1
6/5
11/12
Alternate Interior Angles
Same Side Interior Angles
Corresponding Angles
Alternate Exterior Angles
What is the value of x.
Answer:
Angle 9 and Angle 8 they are the same
Step-by-step explanation:
Answer:
1,2,5
Step-by-step explanation:
Can y’all help me ASAP ! I need this done before 12am
Answer:
6 is the answer since a line is 180 degrees and it gives you 40 degrees and 90 degrees via the square symbol. you add 40 to 90 to get 130 so 7k + 8 has to equal 50.
What is the solution to this equation?
8x - 5(x-3) = 18
O A. x = 7
O B. x= 11
O C. x = 5
O D. x= 1
Answer:
D x = 1
Step-by-step explanation:
Please help me this question
Step-by-step explanation:
Hey there!
The given point is (8,-3) as (x1,y1) and slope (m) = -3/4.
Note: use one point formula for finding the equation.
[tex](y - y1) = m(x - x1)[/tex]
Put all values.
[tex](y + 3) = - \frac{ 3}{4} (x - 8)[/tex]
Simplify it.
[tex](y + 3) = - \frac{ 3}{4} x - 8 \times - \frac{3}{4} [/tex]
[tex](y + 3) = - \frac{3}{4} x + 6[/tex]
[tex]y = - \frac{3}{4} x + 6 - 3[/tex]
[tex]y = - \frac{3}{4} x + 3[/tex]
Therefore, the equation is; y = -3/4x+3.
Hope it helps...
if you have a class RIGHT NOW ethier google classroom are zoom let me crash it if yall board
Answer:
i have a class now but i will get in trouble sry
Step-by-step explanation:
Answer:
Meeting ID: 851 5556 0217
Step-by-step explanation:
i hate school proceed as you wish good sir! :)
meeting starts at 11:10 btw
what is similar to the word antonym
A. a like
B.diffrent
C.slimmy
D.get ride of
Answer:B.
Step-by-step explanation: cuz antonym is technically the same thing as different, except different can be used for much more items and thoughts.
Is the figure an example of a line?
Answer:
No, Because it has 2 endpoints lines travel forever in both directions
Step-by-step explanation:
Answer:
D. No, it has two end points.
Step-by-step explanation:
A line is something that extends indefinitely in one or both directions.
Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spend
on clothing. How much money does she have left in her bank account now?
Answer: 157.19
Step-by-step explanation:
Three students attempt to define what a line segment is.
Answer:
Duru's definition: A line segment is a line connecting two endpoints. Oliver's definition: A line segment is when three points are all on the same line.
How much do you need to deposit into an account with 5.4% interest compound monthly of $200 for the next 10 years
Answer: $3703.70
Step-by-step explanation:
200x.054=$3703.70
What other story element is most affected by the narrator's point of view?
Answer:
I belive it is the theme that is the most affected.
Step-by-step explanation:
Answer:
answer is the setting!!!!!!!!!!!!!!!!!!!!!
2.1 + 1.4 Find The Sum :)
Which of these steps will eliminate a variable in this system? 4x-9y=8 2x+3y=24
For eliminate a variables we need addition method or elimination method.
Define the term Variable?In an equation or formula, a variable is a symbol or letter that stands in for an unknowable or varying quantity or value.
We can multiply the second equation by -2, so that the coefficient of x in both equations will be the same but with opposite signs:
⇒ 4x - 9y = 8
⇒ -4x - 6y = -48
Add the two equations together: ⇒ -15y = -40
⇒ y = 8/3
Substitute this value of y back into either equation to solve for x.
⇒ 4x - 9(8/3) = 8
⇒ 4x - 24 = 8
⇒ x = 8
Therefore, the steps to eliminate a variable in this system using the addition method are to multiply the second equation by -2, add the two equations together to eliminate the x variable, solve for y, and then substitute that value back into either equation to solve for x.
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What is the answer to this problem
Answer:
All of the above
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
60%
Step-by-step explanation:
The shape is divided to 10 pieces and 6 of the pieces are painted if we multiply
6 put of 10 is orange therefore 60% of the sahpe is orange
Answer:
60%
Step-by-step explanation:
the number shaded divided bt the number of all division multiplied by 100
6÷10×100
=60%
(-7, 13); slope = -2 Write the equation of the line in slope-intercept form with the given point and slope or two points.
Answer:
y=-2x-1
Step-by-step explanation:
13=-2*-7+b
13=14=b
-1=B
The equation of the line in the slope-intercept form will be 2x+y+1=0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that,
The coordinate of the points are (x,y) = (-7, 13)
Slope, m = -2
The standard equation of a line is,
y = mx+c
Substitute the given coordinate value in order to find the intercept value as
13=-2×-7+c
13-14=c
-1=c
Put the values in the standard equation,
y = mx+c
y=-2x-1
Thus, the equation of the line in the slope-intercept form will be 2x+y+1=0.
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