Using confidence interval concepts, it is found that the reasonable estimate for the proportion of all American adults who believe that regular exercise is important is of 0.753.
What is a confidence interval?
It is the range in which a parameter is expected to be given a confidence level, has format (a,b), and the point estimate of the parameter is the mean between a and b.
In this problem, the interval is [0.726, 0.780], hence, the estimate is of:
(0.726 + 0.78)/2 = 0.753
You can learn more about confidence interval concepts at https://brainly.com/question/25779324
Find angle picture below
Answer:
72
Step-by-step explanation:
have a great day
Please help with this question and give an explanation if possible
Answer:
B. -15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityCalculus
Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Swapping Limits]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = -\int\limits^a_b {f(x)} \, dx[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits^3_{-1} {[2g(x) + 4]} \, dx = 22[/tex]
[tex]\displaystyle \int\limits^{-1}_{10} {g(x)} \, dx = 12[/tex]
[tex]\displaystyle \int\limits^{10}_{3} {g(x)} \, dx = z[/tex]
Step 2: Redefine
Manipulate the given integrals.
[Integrals] Combine [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^{-1}_{10} {g(x)} \, dx + \int\limits^{10}_3 {g(x)} \, dx = \int\limits^3_{10} {g(x)} \, dx[/tex][Integrals] Rewrite: [tex]\displaystyle \int\limits^3_{10} {g(x)} \, dx = \int\limits^{-1}_{10} {g(x)} \, dx + \int\limits^{10}_3 {g(x)} \, dx[/tex][Integrals] Substitute in variables: [tex]\displaystyle \int\limits^{-1}_3 {g(x)} \, dx = 12 + z[/tex][Integrals] Rewrite [Integration Property - Swapping Limits]: [tex]\displaystyle -\int\limits^3_{-1} {g(x)} \, dx = 12 + z[/tex][Integrals] [Division Property of equality] Isolate integral: [tex]\displaystyle \int\limits^3_{-1} {g(x)} \, dx = -(12 + z)[/tex][Integrals] [Distributive Property] Distribute negative: [tex]\displaystyle \int\limits^3_{-1} {g(x)} \, dx = -12 - z[/tex]Step 3: Solve
[Integral] Rewrite [Integration Property - Addition]: [tex]\displaystyle \int\limits^3_{-1} {2g(x)} \, dx + \int\limits^3_{-1} {4} \, dx = 22[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 2\int\limits^3_{-1} {g(x)} \, dx + 4\int\limits^3_{-1} \, dx = 22[/tex][Integral] Substitute in integral: [tex]\displaystyle 2(-12 - z) + 4\int\limits^3_{-1} \, dx = 22[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle 2(-12 - z) + 4(x) \bigg| \limits^3_{-1} = 22[/tex][Integral] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle 2(-12 - z) + 4(3 - -1) = 22[/tex][Integral] (Parenthesis) Simplify: [tex]\displaystyle 2(-12 - z) + 4(3 + 1) = 22[/tex][Integral] (Parenthesis) Add: [tex]\displaystyle 2(-12 - z) + 4(4) = 22[/tex][Integral] Multiply: [tex]\displaystyle 2(-12 - z) + 16 = 22[/tex][Integral] [Subtraction Property of Equality] Subtract 16 on both sides: [tex]\displaystyle 2(-12 - z) = 6[/tex][Integral] [Division Property of Equality] Divide 2 on both sides: [tex]\displaystyle -12 - z = 3[/tex][Integral] [Addition Property of Equality] Isolate z term: [tex]\displaystyle -z = 15[/tex][Integral] [Division Property of Equality] Isolate z: [tex]\displaystyle z = -15[/tex][Integral] Back-Substitute: [tex]\displaystyle \int\limits^{10}_{3} {g(x)} \, dx = -15[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
Anna, Brianna and Caleb share some money in the ratio 5:3:7
Caleb receives £9.60 more than Brianna.
What was the total of the sum of money that was shared?
(3 punten)
Answer:
£36
Step-by-step explanation:
7-3=£9.60/4
4units=£9.60
1 u=£9.60÷4=£2.40
total units->5+3+7=15
15 units=15×£2.40=£36
A circles radius is 13 meters what is the circles area using 3.14 rounded to the nearest tenth
Answer:
530.7
Step-by-step explanation:
A circle's area is defined as πr²
You would substitute 13 in for r (the radius) and use 3.14 as your given value for pi, leaving you with this:
3.14×13²
When you calculate this, it should return a value of 530.66, which rounded to the nearest tenth is 530.7
Hope this helps!
PLEASE HELP ME !!!!!!!!
A snail desperately needs to make it to the center garden to avoid being squashed by students once
school starts. If the garden is 6 meters away, and the snail's top speed is 0.8 meters per hour, how long
will it take the snail to make it to safety? Give the answer in hours, minutes, and seconds.
Answer:
12hr, 66mins, 1.23245 sedconda
Step-by-step explanation:
fvavdfbgthujiugfd
Jacob bought 9 bags of balloons. Each bag has 25 balloons. He fills all the balloon and puts 5 balloons in each bunch. How many bunches can he make please help me
Store A sells 12 juice bottles for $4 and store B sells 18 juice bottles for $6. Are these rates equivalent? Explain your reasoning.
Answer:
these rates are equivalent.
12bottles/$4= 18bottles/$6= 3bottles/$1
Step-by-step explanation:
PLEASE HELPPPPPPPPPP IM RLLY STUCK
Answer: 28.5cm squared
Answer:
4cm². Hop it helped
Step-by-step explanation:
Write and equation in slope intercept form to model the situation.
A candle is 8 inches tall and burns at 3/4 inch each hour.
Answer:
The equation that models the situation is [tex]y = 8 - 0.75t[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in slope-intercept formula, has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much y changes when x changes by 1 unit) and b is the intercept, which is the value of t when x = 0.
A candle is 8 inches tall and burns at 3/4 inch each hour.
Using t as number of hours and y as the height.
Initial height of 8 inches, that is, when [tex]t = 0, y = 8[/tex], so [tex]b = 8[/tex]
Burns at 3/4 inch each hour.
That is, the height decreases by a rate of 3/4 inch each hour, so [tex]m = -\frac{3}{4} = -0.75[/tex]
So
[tex]y = 8 - 0.75t[/tex]
Which is closest to the quotient 4,367 ÷ 0.004 A. 1,000 B. 10,000 C. 100,000 D. 1,000,000 explain how you got the answer pls btw 6th grade
Answer:
D) 1,000,000
Step-by-step explanation:
Here it is.
what is the lcm for 3/4and 1/2
Answer:
1 1/2
Hope that helps!
Step-by-step explanation:
Find the missing side length of this right triangle
Answer:
41
Step-by-step explanation
because this triangle is a right triangle , u know that u can use pythagorean theroem to solve this.
the pythogorean theroem is [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]. the hypotenuse is the longest side or the one that the right angle is pointing to. in the equation , the hypotenuse is represented by c.
so then u juss plug in the numbers that you have so 9 sqaured + 40 squared is equal to c sqaured.
then when you simplify that you end up with 81+1600=[tex]c^{2}[/tex]
then you add the two numbers and you get 1681=[tex]c^{2}[/tex]
u have to get the variable by itself so you find the sqaure root of each side which would look like [tex]\sqrt{1681}[/tex]=[tex]\sqrt{c}[/tex]
simplify that, and you get c=41
hopefully that helped ! :)
Please help ASAP. Thanks so much
Answer:
y = -48
x = 0
Step-by-step explanation:
Math question for 30 points please answer correctly
Answer:
D. The rate of change for function B is greater than the rate of change for function A
Step-by-step explanation:
Function a has a slope (aka rate of change) of 3/3
I know this because we start at (-3, 0) then finish at (0, 3)
We added 3 to both the x value and the y value.
3/3 = 1, so we have a rate of change of 1 for function A
Now that we know this, we can write the equation out into slope intercept form.
We can get y = x + 3
The equation for function B is y = 5x + 5
The slope for function B is greater, therefore the rate of change for function B is greater than the rate of change for function A
List the elements of the set of all letters in the word 'true'
Answer:
t r u e
Step-by-step explanation:
what is the speed, if distance is 900 miles and time 300 minutes
Answer:
3 mi/min
Step-by-step explanation:
speed =distance/time
900/300=3
Whoever can answer this will get brainlyest
Answer:
44
Step-by-step explanation:
[tex]\frac{x}{77} =\frac{32}{56}\\\\x = \frac{32}{56}*77 = \frac{4}{7}*77 = 4 *11[/tex]
x = 44
2/3(x+6)=-18 I need the answer help me!!
Answer:
x = -33
Step-by-step explanation:
2/3(x+6) = -18
multiply (x+6) by 2/3
2/3x + 4 = -18
subtract 4 from both sides
2/3x + 4 - 4 = -18 - 4
2/3x = -22
multiply by 3/2
2/3 x 3/2 x = -22 x 3/2
x = -33
Step-by-step explanation:
so we basically simplify the equation to the form, which is simple to understand
2/3(x+6)=-18 then Reorder the terms in parentheses
+( + 0.66666666666667x+4)=-18 after that
Remove unnecessary parentheses
+ 0.66666666666667x+4=-18 then We move all terms containing x to the left and all other terms to the right.
+ 0.66666666666667x=-18-4 so We simplify left and right side of the equation.
+ 0.66666666666667x=-22 We divide both sides of the equation by 0.66666666666667 to get x.
x=-33 get it?
Measure of Pairs of Angles: Calculate the measure for
160 degrees
or
20 degrees
or
180 degrees
or
90 degrees
The angle vertical to 160 is also 160.
So you have 320
You have 320 out of a full circle, 360.
If there's two angles left, equal to each other
Then they each would be 20 degrees.
I'm not sure what you tried to solve for but I guess this is a simple rundown of the image.
Answer:
The remaining angles are 20°, 160° and 20°
Step-by-step explanation:
Since a circle has 360° and one angle is know, the remaining angles can be found.
Angle U = 160° and the angle in the opposite side must be equal to Angle U so the angle opposite to U is 160° as well.
The remaining two angles are equal to each other and since the total degrees must be 360° and 2 angles are known, we can solve for the remaining angles.
Let's say the remaining angles are values "x".
360° must equals 160° + 160° + x + x
360 = 160 + 160 + x + x
360 = 320 + 2x
40 = 2x
x = 20
The remaining two angles are 20°
18 less than four times a number is 5.
I think the mathematical equation for this sentence is
(Step 1)
4x-18=5 Add 18 to both sides to get the numbers on the same
+18 | +18 Side of the equals sign.
----------------------
4x =23
(Step 2)
4x =23 / 4 Divide equation by four
x=5.75 The answer is X=5.75
Hope I was able to help :)
Answer:
Assuming you wanted to find that mystery number:
It would be 5.75.
Step-by-step explanation:
5 = 4x - 18
Add 18 to both sides of the equation:
5 + 18 = 4x - 18 + 18
23 = 4x - 18 + 18
23 = 4x
Divide each side by 4:
(23/4) = (4x/4)
23/4 = x
5.75 = x
x = 5.75
Time Remaining
This Question: 1 pt
9 of 9
T
The perimeter of a rectangular garden is 68 yards. The width of the garden is five yards less than twice the length.
(a) Find the length and width of the garden.
(b) What is the area of the garden?
The length of the garden is
(Type an integer or a decimal.)
The width of the garden is
V (Type an integer or a decimal.)
The area of the garden is
(Type an integer or a decimal.)
Answer:
a. Length = 13 yards and Width = 21 yards.
b. Area of rectangle = 273 square yards.
Step-by-step explanation:
Let the length of the rectangular garden be L
Let the width of the rectangular garden be W
Given the following data;
Perimeter of garden = 68 yards
Translating the word problem into an algebraic equation, we have;
W = 2L - 5 ......equation 1
Note: The formula for calculating the perimeter of a rectangle is;
[tex]P = 2L + 2W[/tex]
68 = 2L + 2W ........equation 2
Substituting eqn 1 into eqn 2;
68 = 2L + 2(2L - 5)
68 = 2L + 4L - 10
68 = 6L - 10
6L = 68 + 10
6L = 78
L = 78/6
L = 13 yards
To find the width;
W = 2L - 5
W = 2(13) - 5
W = 26 - 5
W = 21 yards.
b. To find the area of the garden;
Area of rectangle = length * width
Area of rectangle = 13 * 21
Area of rectangle = 273 square yards.
Marking brainliest
Please help
Answer:
D
Step-by-step explanation:
That's the answer.......
Answer:
D
Step-by-step explanation:
THERE ARE 3 STUDENTS IN ART AND 2 SHEETS OF CONSTURCTION PAPER FOR THEM TO SHARE EQUALLY. WHAT PART OF CONSTRUCTIONS PAPER WILL EACH STUDENT GET
Answer: 2/3 of paper
Step-by-step explanation: 2 papers divided by 3 students would be 2/3 of paper for each
The function d =
45t gives the distance d Juan traveled in miles after t hours.
is this discrete or continuous data?
Answer:
Continuous data
Step-by-step explanation:
Given
[tex]d = 45t[/tex]
Required
Discrete or Continuous?
From the question, we understand that t represents time in hours. This is a continuous data.
When multiplied by 45 to give distance, the resulting data is also continuous.
Hence, [tex]d = 45t[/tex] is continuous
Answer:
d = 2.5t, continuous
Step-by-step explanation:
Just did it on Edge and got it right
What is the slope of the line x=-1x=−1x, equals, minus, 1? Choose 1 answer: Choose 1 answer: (Choice A) A -1−1minus, 1 (Choice B) B 000 (Choice C) C 111 (Choice D) D Undefined
Answer:
B and a good time to get answer of your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and
PLS HELPLPPPPOPPPP I’ll mark brainiest
colocar verdadero (v) o falso (f) según corresponda: -3 € N..................... ( )
5 € N................ ( )
N c Z...................( )
-8 c Z............... ( )
7 € Z................ ( )
0 € Z................ ( )
Answer:
what is this............
how do you know that the expression 2x + 4y is not equivalent to 6xy
Answer:
The expression is not equivalent because you cannot combine 2 variables that are different from eachother.
Step-by-step explanation:
you are able to add 2+4 but because they have variables with them, x and y, you can not add them together.
A motel clerk counts his $10 bills and $20 bills at the end of the day. He finds that he has a total of 150 bills, and that those 150 bills have a total value of $2,000. How many $10 bills and $20 bills does the motel clerk have?
Translate the problem into 2 equations.
Let the x be the number of $10 bills and y be the number of $20 bills.
Answer:
100 $10 bills and
50 $20 bills
Step-by-step explanation:
Given
[tex]x = \$10[/tex]
[tex]y = \$20[/tex]
[tex]Bills = 150[/tex]
[tex]Value = \$2000[/tex]
Required
Determine the number of $10 and $20 bills
[tex]Bills = 150[/tex].
This implies that:
[tex]x + y = 150[/tex]
[tex]Value = \$2000[/tex]
This implies that:
[tex]10x + 20y = 2000[/tex]
So, the equations are:
[tex]x + y = 150[/tex]
[tex]10x + 20y = 2000[/tex]
Make x the subject in the first equation
[tex]x = 150 -y[/tex]
Substitute 150 - y for x in the second
[tex]10(150 - y) + 20y= 2000[/tex]
[tex]1500 - 10y + 20y= 2000[/tex]
[tex]1500 + 10y = 2000[/tex]
[tex]10y = 2000-1500[/tex]
[tex]10y = 500[/tex]
[tex]y =50[/tex]
Recall that:
[tex]x = 150 -y[/tex]
[tex]x = 150 -50[/tex]
[tex]x = 100[/tex]
