Using confidence interval concepts, it is found that the margin of error is of 7.
A confidence interval has the format (a,b).The margin of error is half the difference between the two bounds, that is:[tex]M = \frac{b - a}{2}[/tex]
In this problem, the interval is (32, 46), hence [tex]b = 46, a = 32[/tex], and the margin of error is:
[tex]M = \frac{46 - 32}{2} = 7[/tex]
The margin of error is of 7.
A similar problem is given at https://brainly.com/question/25704940
Answer:
Step-by-step explanation:
its 7 just did it
(05.05)
Select the inequality that corresponds to the given graph. (5 points)
Answer:
3) 4x-2y (less than) -8
Answer:
Option 3: 4x - 2y < -8
Step-by-step explanation:
Given the graph of a linear inequality with a dashed line as its boundary line:
Quick Note:To start with, since the graph of the line is dashed, this means that the endpoints are not included as solutions.
Hence, we can easily rule out Option 4: 2x + 4y ≥ -16, since the solid boundary lines are used to represent linear inequalities with "≥" or "≤" symbols. Solutions:It will help to choose a test point that is not on the line, and substitute its values into the given inequality statements. Test points are used to verify whether it will satisfy the given inequality statement.
Let's use the point of origin as our test point, (0, 0). Substitute its values into the linear inequality statements in Options 1 through 3:
Option 1: 4x - 3y > -124x - 3y > -12
4(0) - 3(0) > -12
0 - 0 > -12
0 > -12 (True statement). Hence, the half-plane region that contains the test point must be shaded.
Since the point of origin is not a part of the shaded region in the given graph, then it means that the linear inequality in Option 1 is not the correct answer.
Option 2: x + 4y > 4x + 4y > 4
(0) + 4(0) > 4
0 + 0 > 4
0 > 4 (False statement). The half-plane region that doesn't contain the test point must be shaded. Hence, Option 2 may be a valid solution.
We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:
x + 4y > 4
x - x + 4y > - x + 4
4y > -x + 4
Divide both sides by 4 to isolate y:
[tex]\displaystyle\mathsf{\frac{4y}{4}>\:\frac{-x\:+\:4}{4} }[/tex]
y > -¼x + 1 ⇒ This is the slope-intercept form, where it has a negative slope of m = -¼. Hence, Option 2 is not a valid answer, as the graph has a positive slope.
Option 3: 4x - 2y < - 8
4x - 2y < - 8
4(0) - 2(0) < - 8
0 - 0 < - 8
0 < -8 (False statement). Thus, the half-plane region that doesn't contain the test point must be shaded.
We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:
4x - 2y < - 8
4x - 4x - 2y < -4x - 8
-2y < -4x - 8
Divide both sides by -2 to isolate y:
[tex]\displaystyle\mathsf{\frac{-2y}{-2}>\:\frac{-4x\:-\:8}{-2} }[/tex]
y < 2x + 4 ⇒ This linear inequality statement in slope-intercept form matches the given graph, as its line has a positive slope of 2.
Therefore, the correct answer is Option 3: 4x - 2y < -8.
what is the correct answer?!!
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Select the equation of a line in slope-intercept form that passes through (-2, 2) and is perpendicular to the graph of y=1/2 x-2.
Answer:
y=-2x-2
Step-by-step explanation:
since the line is perpendicular to y=1/2x - 2, the slop is -1/(1/2)=-2. so we have y=-2x+b. now plug in the point given: 2= -2(-2)+b, 2=4+b, b=-2, y=-2x-2
If you add the lengths of the focal radii of an ellipse, what other value will you produce?
Answer: the length of the major axis
Step-by-step found it on Quizlet and got it right on the quiz
If we add the lengths of focal radii of an ellipse the value of length of major axis will produce.
What is the major axis of an ellipse?
The major axis of an ellipse is the line segment connecting the two vertices.
Since, the sum of focal distances of a point on ellipse is constant.
And it is equals to the length of major axis.
Hence, if we add the lengths of focal radii of an ellipse the value of length of major axis will produce.
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Solve the system by substitution: y = 4x - 6
y=5x
Answer:
y=4x-6
5x=4x-6 {putting y =5x}
5x-4x=-6
x=-6
4y=12 and 4y=2x
So:2x=
Answer:12
Step-by-step explanation:
if 4y=12
then y=3
4y=2x
then as 4y=12 then 2x=12
Answer: 2x=12
Step-by-step explanation:
so if 4y=2x we know that 2x is also equal to 12
2x=12
6x-14<-14 or 3x+10>13
Step-by-step explanation:
not sure the question but I can solve the equations
6x-14<-14
6x<0
×<0
3x+10>13
3x>3
×>1
what is the unit rate of gallons used per minute
PLEASE HELP THIS IS DUE IN THIRTY MINUTES
I FINNA GIVE YOU 30 POINTS, THAS A SCORE
You have $4800 to spend on fencing to enclose a rectangular area. You also want to make TWO pens as shown below. The cost of the vertical sides is $2.00 per foot and the horizontal sides cost $5.00 per foot. You desire to enclose the largest possible area you can.
a) Given x is the dimension of one side of the rectangle, enter an expression for the other dimension of the rectangle. Your answer should have an "x" in it. Also select appropriate units.
b) Find an expression for the area of the rectangle only in terms of x. Check the appropriate units.
c) What are the dimensions of the rectangle with the largest enclosed area? Enter your dimensions as a list of numbers separated by a comma. Start with the value of side labeled x FIRST.
d) What is the largest area you can enclose in a rectangle using feet of fencing?
Answer:
D
Step-by-step explanation:
WILL GIVE BRAINLEST!!! A rational expression has been simplified below
(x-2)(x+6) X-2
7(x+6)
*=2
For what values of xare the two expressions equal?
Answer:
You're answer is B. All answers except -6
Step-by-step explanation:
did the test
El perimetro de un rectangulo mide 166 cm . Si su base mide 58 cm ¿cuanto mide su altura y cual es su area
solución:
A=1450cm²
~~~~~~~~~~~~~
AWNSER ASAP PLEASE!!!!!!!!!!!!!! WORTH 20 POINTS.
Find the solution of this system of equations -2x + 8y = 14 -2x - 2y = -26
Answer:
Answer x = 9 y = 4
-2x + 8y = 14
-2x - 2y = -26
0 + 10y = 40
y = 4
-2x + 8(4) = 14
-2x = 14 - 32 = -18
x = 9
Elena collects 112 specimens of beetle and records their lengths for an ecology research project. When she returns to the laboratory, Elena finds that she incorrectly recorded one of lengths of the beetles as 122 centimeters (about 4 feet). What should she do with the outlier, 122 centimeters, when she analyzes her data?
please help me, this isn't a (a) (b) (c) (d) option I need a full explanation
40 POINTS!!!
Answer:
The correct option is;
C. She should go back and remeasure all of her specimens again to find the error. If she can't do this, she should eliminate the outlier from the analysis, because this is an error in recording
Step-by-step explanation:
In order to minimize error in measurement, some valuable steps includes;
1) Perform a double check on all measurements to ensure that the measurements recorded are accurate
2) Ensure proper training before taking measurements
3) Measurements should only be taken under controlled conditions
4) Separate the entire population into smaller groups for proper recording
5) Have a second observer double check the records
Elena should remove the outlier of 122 centimeters (about 4 feet) from her dataset during data analysis due to its significant deviation from the typical lengths of beetles.
When analyzing her data, Elena should consider removing the outlier of 122 centimeters (about 4 feet) from her dataset. The Outlier is defined as a "data-point" which significantly deviates from the overall-pattern of the data.
In this case, the recorded length of 122 centimeters is likely an error or anomaly, as it is much larger than the typical lengths of beetles. Removing the outlier will help ensure that her analysis and conclusions accurately reflect the majority of the data and the actual behavior of the beetles.
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Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. Y = 27x3, y = 0, x = 1; about x = 2.
The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.
The volume of the solid of revolution can be determined by the following integral equation:
[tex]V = 2\pi\int\limits^a_b {|f(x)-g(x)|} \, dx[/tex] (1)
Where:
[tex]g(x)[/tex] - Lower bound function[tex]f(x)[/tex] - Upper bound function[tex]a[/tex] - Upper bound[tex]b[/tex] - Lower boundIf we know that [tex]b = 2[/tex], [tex]b = 1[/tex], [tex]g(x) = 0[/tex] and [tex]f(x) = 27\cdot x^{3}[/tex], then the volume of the solid of revolution is:
[tex]V = 2\pi\int\limits^2_1 {x\cdot |27\cdot x^{3}-0|} \, dx[/tex]
[tex]V = 54\pi \int\limits^2_1 {x^{4}} \, dx[/tex]
[tex]V = 54\pi \left(\frac{2^{5}}{5}-\frac{1^{5}}{5} \right)[/tex]
[tex]V = \frac{1674\pi}{5}[/tex]
The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.
To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504
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Answer:
OMG️️
Step-by-step explanation:
What is this❓
what have you wrote✍️
Answer:
hye nice what have written tell then I will answer you.
Amat increased the amount of carbs he eats each day from 120g to 165g. By what percentage did he increase the amount of carbs he eats?
Answer:
32%
Step-by-step explanation:
The slope is -10 and it passes through (2,5)
Answer:
y=-10x+25
Step-by-step explanation:
integer operations
11. -60
12. 10
13. -9
14. 14
15. 37
Answer:
[tex]11. - 60 = - 49 \\ 12.10 = 12.1 \\ 13. - 9 = 4 \\ 14.14 = \frac{707}{50} \\ 15.37 = \frac{1537}{100} [/tex]
pleaseeeee helpppppppppppppp
A math class has 3 girls and 7 boys in the seventh grade and 3 girls and 3 boys in the eight grade. The teacher randomly selects a seventh grader and an eight grader from her class for a competition. What is the probability that the students she selects are both boys?
Answer: 3/5
A Create a linear expression
Answer:
(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB. Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST!
Answer:
81 x² - 4 y²
Answer C is correct.
Step-by-step explanation:
First, you have to find the area of the larger square.
Area of the larger square = (9x) × (9x)
= 81 x²
Then you have to find the area of the un shaded square,
Area of the unshaded square = (2y) × (2y)
= 4 y²
Now to find the area of shaded region you have to subtract the area of the unshaded square from the area of the larger square.
Area of the shaded region = Area of the larger square - Area of the unshaded square
= 81 x² - 4 y²
Hope this helps you.
Let me know if you have any other questions :-)
Tell whether the sequence is arithmetic. If it is, identify the common difference.
1/2,1/3,1/4, ….
1) Not arithmetic
2) Arithmetic, common difference is 1/6
3) Arithmetic, common difference is 2/3
4) Arithmetic, common difference is 1
Answer:
Not arithmetic
Step-by-step explanation:
the difference of successive terms in arithmetic sequences should be the same. notice that:
1/3-1/2 =/= 1/3 - 1/4
so it's not arithmetic.
this sequence is known as the harmonic sequence, and its sum diverges.
Help needed! Please and thanks
Answer:
8.125 inches
Step-by-step explanation:
Ok so basically what you needed to do was this
Find out what was the value like this 3 1/4 = 3.25 and 2 1/2 = 2.5
Then you will do
3.25 x 2.5 and get your answer
8.125
There you go! Have a Wonderful Day
What is Perfect square
Answer:
A perfect square is an integer that results in another integer when square rooted.
Step-by-step explanation:
For example:
16 is a perfect square because [tex]\sqrt{16}[/tex] = 4.
16 and 4 are both integers
Also, notice that 4 x 4 = 16
Answer:
A perfect square is a number that can be multiplied together by the same numbers/digits/values.
Step-by-step explanation:
Examples:
√25
5 times 5 is 25 thus √25 is a perfect square
√144
12 times 12 is 144 thus √144 is a perfect square
Hope this helps!
four hundred twenty five million six hundred one thousand six in standard form
Answer:
425,601,006
Step-by-step explanation:
Which expression has a positive product? 0 4.(-2).0.(-3) 2.(-5). ( 4)( 1) 6. (2).8.(3) 5- (6)-( 3). (3)
Answer:
(4)(1)6
Step-by-step explanation: It only has all positives and the rest all have one negative so that affects the whole problem and turns them negative.
help me with this please
Answer:
12
Step-by-step explanation:
[tex]1/3(3)(12)[/tex]
The 1/3 and 3 cancel and you are left with
[tex]12[/tex]
Find the lowest common multiple of 36
and 72
Please answer lol its math
Answer:
12.5
Step-by-step explanation:
hope it helped
Answer:
12.5
Step-by-step explanation:
Divide 25ft by 2mm
> 25 / 2 = 12.5
The rectangle below has an area of x^2 - 7x + 10 square meters and a width of x - 5 meters.
What expression represents the length of the rectangle?
Answer is (x - 2).
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