write the equation in the slope intercept form of the line shown on the graph
A recent community survey of 100 citizens showed that 55% of respondents approved of water rationing. The data was simulated 500 times. In those simulations, the lowest sample was p^ =45 and the highest sample was p^ =66. Use the standard deviation method for determining the error margin with 95% confidence.
A. What is the error margin?
B. What is the interval estimate for the true population proportion?
C. From this estimate, can you say for certain that the majority of the community supports water rationing?
The interval estimate for the true population proportion is 45.25% to 64.75% and we can conclude that the majority of the community supports water rationing
How to determine the error margin?The given parameters are:
p = 55% = 0.55n = 100Confidence level = 95%The error margin is calculated using:
[tex]E = z * \sqrt{\frac{p* (1 - p)}{n}}[/tex]
Where z is the critical value.
At 95% confidence level, the critical value is:
z = 1.96
So, we have:
[tex]E = 1.96 * \sqrt{\frac{0.55 * (1 - 0.55)}{100}}[/tex]
Evaluate
[tex]E = 1.96 * \sqrt{0.002475}[/tex]
Evaluate
E = 0.0975
Hence, the error margin is 0.0975
How to determine the interval estimate for the true population proportion?This is calculated using:
I = p ± E
So, we have:
I = 0.55 ± 0.0975
Expand
I = (0.55 - 0.0975, 0.55 + 0.0975)
Evaluate
I = (0.4525, 0.6475)
Express as percentage
I = (45.25%, 64.75%)
Hence, the interval estimate for the true population proportion is 45.25% to 64.75%
How to interpret the estimate?From the simulation,
Lowest sample p = 45% Highest sample p =66%The values are approximately the interval estimates.
i.e.
45.25% ≈ 45% and 64.75% ≈ 65%
Hence, we can conclude that the majority of the community supports water rationing
Read more about confidence intervals at:
https://brainly.com/question/15712887
#SPJ1
a triangle had sides with lengths 5, 12, and 13.
verify this is a pythagorean triple
It is a pythagorean triple.
I’ll give brainliest please help! Explain the Polynomial equation using Long division
Answer:
The solution is in the image
The area of a square-shaped rug is 81 sq feet. If the rug is 9 ft long, what is its perimeter? Explain.
Someone help me please
Answer:
Step-by-step explanation:
7. A square pyramid has a height that is 8 centimeters
long and a base with sides that are each 9
centimeters long. Find the volume of the pyramid.
The volume of the square pyramid will be equal to V = 648 square centimetres.
What is Volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.
Given that:-
A square pyramid has a height that is 8 centimeters long and a base with sides that are each 9.The volume will be calculated as:-
V = L x W x H
V = 9 x 9 x 8
V = 648 square centimters.
Therefore the volume of the square pyramid will be equal to V = 648 square centimetres.
To know more about Volume follow
https://brainly.com/question/1972490
#SPJ1
Whoever answers first i'll mark brainlist
please make sure it's right!
are all natural numbers also a whole number? (yes/no)
Answer:
Yes
Step-by-step explanation:
Natural numbers are positive integers such as 1, 2, 3, etc., (sometimes zero as well). As such, they are indeed whole numbers, so the statement is true.
VARIABLE EXPRESSIONS
Complete. Replace ? with +, -,×, or ÷ .
1.) 3y means 3 ? y.
What is the range of F?
The range of f as shown in the graph is -6 ≤ f(x) ≤ 5. The correct option is A. -6 ≤ f(x) ≤ 5
Determining the range of a functionFrom the question, we are to determine the range of f.
The range of a function is the set of its possible output values.
The graph of the function, f, is shown in the diagram.
From the graph,
The minimum value of f on the x-axis is -6. That is, f(x) ≥ -6
and
The maximum value of f on the x-axis is 5. That is, f(x) ≤ 5
Combining the two expressions, we get
f(x) ≥ -6 and f(x) ≤ 5
That is,
-6 ≤ f(x) and f(x) ≤ 5
∴ -6 ≤ f(x) ≤ 5
Hence, the range of f as shown in the graph is -6 ≤ f(x) ≤ 5. The correct option is A. -6 ≤ f(x) ≤ 5
Learn more on Range of a function here: https://brainly.com/question/24481985
SPJ1
Why are inscribed angles half the size of the central angles
Answer:
An angle inscribed in a circle is half of the central angle 2 that subtends the same arc on the circle, according to the inscribed angle theorem. As a result, the angle does not change as the vertex of the circle is moved around.
Step-by-step explanation:
PLEASE HELP!!! i can’t find the answer
Answer:
the correct answer is 2nd hope this will help u i have find the value of x also hope it will help
Step-by-step explanation:
[tex] {4}^{x + 3} = 64 \\ {2}^{2(x + 3)} = {2}^{6} \\ 2{ }^{2x + 6} = 2 {}^{6 } \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ x = \frac{ - 4}{2} \\ x = - 2[/tex]
The scatterplot illustrates the relationship between high school and college GPAs for a sample of students.
A graph titled Relationship between high school and college G P A s has H S G P A on the x-axis and college G P A on the y-axis. Points are at (2, 4), (2.25, 2.9), (2.5, 2.8), (2.5, 2.8), (2.5, 3), (3, 3), (3.25, 3), (3.25, 3.1), (3.25, 3.2), (3.5, 2.9), (3.5, 3), (3.5, 3.1), (4, 3), (4, 3.1), (4, 3.5).
Which of the following is an accurate description of the scatterplot?
Students with higher high school GPAs have higher college GPAs.
Students with lower high school GPAs repeat their performance and get low college GPAs.
Because college is a fresh start, there is no relationship between high school and college GPAs.
Lower high school GPAs correlate to lower college GPAs, with one exception of a low high school GPA and high college GPA.
Answer: D
Step-by-step explanation:
The correct answer is (D): Lower high school GPAs correlate to lower college GPAs, with one exception to a low high school GPA and high college GPA.
What is GPA?Grade point average, or GPA, is measured on a scale of 0 to 4. A grade of four is an A, while a grade of zero equals an F.
Given:
The scatter plot illustrates the relationship between high school and college GPAs for a sample of students.
The scatter plot is given in the attached image.
Highest college GPAs are 4, 3.5, 2 and so on.
And their respective high school GPAs are 2, 4, 3.25 and so on.
That means, students with higher high school GPAs have lower college GPAs.
Let students with lower high school GPAs repeat their performance and get low college GPAs.
But here a student has GPA 2 in high school and 4 GPA in college.
That gives us contradiction.
There is one exception, with college GPA as 4 and HS GPA as 2.
All other points show that a lower college GPA could result in lower HS GPA.
Therefore, the correct answer is option D.
To learn more about the GPA;
https://brainly.com/question/1686355
#SPJ1
I'm very confused on this question!! SOMEONE HELP ASAP!!!
Answer:
AC and YX are corresponding sides.
AB and YZ are corresponding sides.
BC and ZX are corresponding sides.
Step-by-step explanation:
Hope this helps and have a nice day
What is the solution to this system of equations? 3.2 x 0.5 y = 4.2. negative 1.6 x minus 0.5 y = 3.4. (4.75, 38.8) (4.75, negative 22) no solution infinitely many solutions
The solution to the system of equation is (4.75, -11)
3.2x + 0.5y = 4.2
-1.6x -0.5y = 3.4
How to solve system of equation?
3.2x + 0.5y = 4.2
-1.6x -0.5y = 3.4
add equation(i) to equation(ii)
Therefore,
1.6x = 7.6
divide both sides by 1.6
x = 7.6 / 1.6
x = 4.75
Therefore,
3.2(4.75) + 0.5y = 4.2
0.5y = 4.2 - 15.2
0.5y = -11
y = - 11 / 0.5
y = - 22
learn more on system of equation here: https://brainly.com/question/16797776
#SPJ4
Answer:
The solution is x=4.75 and y = -22
Step-by-step explanation:
To find the solution to the system of equations, we will follow the steps below:
3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)
-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)
add equation (1) and equation (2)
1.6x =7.6
Divide both-side of the equation by 1.6 to get the value of x
1.6x /1.6 =7.6/1.6
x =4.75
substitute x = 4.75 into equation (1) and solve for y
3.2(4.75) + 0.5y = 4.2
15.2 + 0.5y = 4.2
subtract 15.2 from both-side of the equation
15.2 - 15.2 + 0.5y = 4.2-15.2
0.5y = -11
Divide both-side of the equation by 0.5
0.5y/0.5 = -11/0.5
y = -22
The solution is x=4.75 and y = -22
а
The volume of a container is 576 cubic feet.
The height is 6 feet; the width is 8 feet; find
the length.
Answer: 48 feet
Step-by-step explanation:
Answer:
12 feet
Step-by-step explanation:
Containers are generally in the shape of a rectangular prism.
Formula
Volume = Length x Width x Height576 = 8 x 6 x LengthLength = 576/48Length = 12 feetWhat is the answer please?
Answer:
If yo translate ABC down 5 units and to the right 2 units, it coincides with GHI.
Step-by-step explanation:
You just have to follow the directions
Which point on the number line best represents the approximate vault of /23
What is the area of the figure? Show your work.
Answer:
50m^2
Step-by-step explanation:
cut the shape into half. Now you should have a rectangle and a right triangle. Then do 5•7=35 so 35m for the rectangle. Now do the triangle! 10-7=3 so the base is 3 so do 3•5=15m so add them together 15m+35m=50m^2
ALSO IF YOU NEED TO KNOW THE ANGLE X IS: 60*
Hope this helps! ;-)
How do i rewrite the equation?
Answer+Step-by-step explanation:
1)
[tex]x^{2}+4x+1=x^{2}+4x + (4 - 4) + 1[/tex]
[tex]=x^{2}+4x + 4 - 3[/tex]
[tex]=(x+2)^2-3[/tex]
then
[tex]x^{2}+4x+1=0[/tex]
[tex]\Longleftrightarrow \left( x+2\right)^{2} -3=0[/tex]
[tex]\Longleftrightarrow \left( x+2\right)^{2} =3[/tex]
2)
[tex]\left( x+2\right)^{2} =3[/tex]
⇔ |x + 2| = √3
⇔ x + 2 = √3 or x + 2 = -√3
⇔ x + 2 = ±√3
⇔ x = -2 ± √3
hello im having a hard time solving part b can anyone help me?
If you know BN and AN, then you can use the fact that ∆ AQB and ∆ ABN are similar. which gives the relation
BN/BQ = AN/AB = AB/AQ
Now
AN/AB = AB/AQ ⇒ AQ = AB²/AN = 36/AN
and
BN/BQ = AN/AB ⇒ BQ = (BN • AB)/AN = 6 • BN/AN
where AB = 6 because it's the diameter of the circle, and C(O, 3) means the circle has center O and radius 3.
Rectangle ZYXW has vertices Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4). What will be the vertices of the rotated image if the rectangle is rotated around the origin counterclockwise by 90 degrees?
The coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)
How to determine the vertices of the image?The points are given as:
Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4)
The rule of rotation around the origin counterclockwise by 90 degrees is
(x,y) => (-y,x)
Using the above rule, we have:
Z' = (4,-1)
Y' = (2,0)
X' = (0,4)
W' = (4,3)
Hence, the coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)
Read more about rotation at:
https://brainly.com/question/4289712
#SPJ1
The volume of a right rectangular prism is 7 1/2 cm³. The height of the prism is 2 1/4 cm.
What is the area of the base of the prism?
A) 3 1/3 cm²
B) 5 1/4 cm²
C) 9 3/4 cm²
D) I don't know
Answer:
C
Step-by-step explanation:
To find the area of the base of the prism, you would first multiply 7 1/2 and 2 1/4, which would leave you with 16.875. Next, you would divide by 2, which gives you 8.4375. Rounding up, you would have the answer C.
please help!!
I attached a picture!
Find the Volume of a sphere with a diameter of 16 using the formula V=4/3 3.14 r^3
Find the volume of a sphere with a diameter of 16 cm using the formula Volume = [tex]\dfrac{4}{3}[/tex] × π × r³.
❍ Explanation -:In this question we are provided with the diameter of a sphere. We are asked to calculate the volume of the sphere using the radius.
First we will find the radius of the sphere
We know,
[tex] ✭ \: \small\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}[/tex]
Substituting the values we get
[tex] \small\sf{ Radius = \dfrac{ \cancel{16} \: \: 8}{ \cancel{2}}}[/tex]
[tex] \star \: \small\rm{ Radius = 8 \: cm}[/tex]
Now we will calculate the volume of the sphere
We know,
[tex] ✭ \: \small \boxed{{\rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}}[/tex]
Where,
r stand for radiusAssuming π as 3.14Substituting the values we get
[tex] \small\rm{ Volume_{(sphere)} = \dfrac{4}{3} × 3.14 × 8³}[/tex]
[tex]\small\rm{ Volume_{(sphere)} = \dfrac{ \cancel{4}}{3} × 3.14 × 8 \times 8 \times \cancel{ 8 } \: \: 2}[/tex]
[tex] \small\rm {V olume_{(sphere)} = \dfrac{3.14 × 64}{3}}[/tex]
[tex] \small\rm{ Volume_{(sphere)} = \dfrac{200.96}{3} =66.98 \: {cm}^{3} }[/tex]
Hence the volume of the sphere is 66.98 cm³.
[tex] \underline{\rule{71mm}{4pt}}[/tex]
If someone could help that’d be great!
Answer:
6.6 ft
Step-by-step explanation:
The area of a triangle is given by the formula: [tex]A=\frac{1}{2}bh[/tex].
In this case, the base b equals the height h.
[tex]\therefore A=\frac{1}{2}h^2 \rightarrow h=\sqrt{2A}[/tex]
Given: A = 22 ft²
[tex]\therefore h=\sqrt{2A} = \sqrt{2(22 \text{ ft}^2)} = \sqrt{44}\text{ ft} \approx 6.6 \text{ ft}[/tex]
Orange County wanted to determine how its students did on a standardized test, so the county took a random survey of 25 students. Out of the 25 students, 4 scored "1" on the test, 8 scored "2" on the test, 5 scored "3" on the test, 5 scored "4" on the test, and 3 scored "5" on the test.
The model could be improved by using a step function.
how is it no explain why
Answer:
the top answear
Step-by-step explanation:
the top aka 16^15/5 it should be 16^15 not that 5
Answer:
The answer is "no" because when two numbers with the same bases are divided, their powers are subtracted.
This should have been done instead:
[tex]\frac{6^{15} }{6^5}[/tex] = 6¹⁵ ⁻ ⁵
= 6¹⁰
Hope this helps!
If $300 is invested at a rate of 5% per year and is compounded quarterly how much will the investment be worth in 15 years?
Answer:
In 15 years the final balance will be $632.15
Step-by-step explanation:
The final balance would be $632.15 and the total compound interest would be $332.15. If you have trouble with these kind of questions in the future I suggest using a compound interest calculator that can be found online :)