The situation that is an example of an observational study is " Having customers fill out a questionnaire about their favourite brand of toothpaste".
What is an observational study?When researchers monitor the effect of a risk factor, diagnostic test, therapy, or other intervention without attempting to influence who is or is not exposed to it in observational studies.
For example: Consider someone standing on a popular street in a New York neighbourhood asking passers-by how many dogs they have, then analyzing the data to see if more pet food businesses are needed in the area.
As we know that in an observational study, the sample whose test/survey is been taken is completely random.
Therefore, the situation that is an example of an observational study is " Having customers fill out a questionnaire about their favourite brand of toothpaste".
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Answer: C
Step-by-step explanation: Collecting the blood pressure readings of a group of elderlyindividuals in a small town
Identify the property used in each step. 12.2 + 18.6 + –4.3 + (–18.6) 12.2 + –4.3 + 18.6 + (–18.6) 12.2 + –4.3 + [18.6 + (–18.6)] 12.2 + –4.3 + (0) 12.2 + –4.3 7.9
Answer:
Commutative Property
Associative property
Additive inverse
Identity property
Step-by-step explanation:
In a commutative property multiplication and addition which posses commutative property takes place without considering the order of arrangement of data
12.2 + 18.6 + –4.3 + (–18.6)
12.2 + –4.3 + 18.6 + (–18.6)
The second step results into the presence of a commutative property.
The next step 12.2 + –4.3 + [18.6 + (–18.6)] is an associative property because here, re-grouping of numbers which gives the same result takes place
[18.6 + (–18.6)] is an additive inverse since the result is zero. Additive inverse occurs when the addition of a number to another number results into zero
12.2 + –4.3 + (0) is an Identity property
Identity property occurs when the addition of any number with zero eventually resulted into that number.
Answer:
Commutative Property
Associative property
Additive inverse
Identity property
Step-by-step explanation:
How many integers at between 15 and 63?
Answer:
47
Step-by-step explanation:
Ok first lets do this with small numbers like 10 and 5. How many integers are between 10 and 5? which does not include 10 or 5. You do 10 minus 5 which is 5, but if you count how many integers are between them with your fingers you get 4.
so now you know to get the integers between 2 large numbers you subtract like normal then you mines a 1.
so 63 - 15 - 1 = 47
There are 47 integers between 15 and 63
Hope this helps :)
There have been 47 integer arithmetic in the range of 15 to 63.
Number of integer between two number = Highest number - Lowest number - 1
So,
Number of integer between 15 and 63
63 - 15 - 1
63 - 16= 47
So,
Number of integer between 15 and 63 = 47
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What does 1/8x-49/8 equal
Answer:
x=49
Step-by-step explanation:
Let's solve your equation step-by-step.
1
8
x−
49
8
=0
Answer:
x=49
7x+(-7)=9x-7 what is the answer?
Answer:
x=0
Step-by-step explanation:
7x+(-7)=9x-7
Add 7 to each side
7x+(-7)7=9x-7+7
7x = 9x
Subtract 7x from each side
7x-7x = 9x-7x
0 = 2x
Divide by 2
0 = 2x/2
0 = x
Hello,
I hope you and your family are staying safe and healthy!
Answer: 0
Step-by-step explanation:
[tex]7x + (-7) = 9x - 7[/tex]
[tex]7x - 7 = 9x - 7[/tex]
Now susbtract [tex]9x[/tex] from both sides
[tex]7x -7 - 9x = 9x - 7 - 9x\\-2x - 7 = -7[/tex]
Then add 7 to both sides
[tex]-2x - 7+7=-7+7\\2x=0[/tex]
[tex]x = \frac{0}{-2} \\x = 0[/tex]
--------------
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Micah harvested 28 watermelons from his garden. He sold w watermelons at the market. Which expression describes the number of
watermelons that Micah has remaining?
w
28 + w
w-28
d
28 - w
The sum of an AP is 549. Given that the common difference is 3,find
i. The 56th term
ii. The sum of its 32 terms
Step-by-step explanation:
[tex]\red\star[/tex]Given[tex]\blue\star[/tex]sn = 549
[tex]\blue\star[/tex] d = 3
[tex]\star[/tex]Find[tex]\blue\star[/tex]56th term of Ap
[tex]\blue\star[/tex]the sum of 32 tem
How many solutions does 10 + 5c = 5c
Answer:
No solutions
Step-by-step explanation:
Step 1: Write out equation
10 + 5c = 5c
Step 2: Subtract 5c on both sides
10 + 5c - 5c = 5c - 5c
10 ≠ 0
Since 10 doesn't equal 0, we do not have a solution for this equation.
Answer:
no solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
10+5c=5c
Step 1: Simplify both sides of the equation.
5c+10=5c
Step 2: Subtract 5c from both sides.
5c+10−5c=5c−5c
10=0
Step 3: Subtract 10 from both sides.
10−10=0−10
0=−10
Answer:
There are no solutions.
HOPE THIS HELPS!!!!!! :)
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Doug can download new songs for $1.19 each. Write an equation to show how many songs he can download for $12.00.
Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south. Both leaves at the same time, ms.Iron person traveling at 50 mph and mr. Thoro at 60 mph. Calcute when they would be 400 mphs apart and how long would it take to happen
Correct question is;
Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south. Both leaves at the same time, ms.Iron person traveling at 50 mph and mr. Thoro at 60 mph. Calculate when they would be 400 miles apart and how long would it take to happen
Answer:
They will be 400 miles apart when Ms. Ironperson has covered 256 miles and Mr. Thoro has covered 307 miles after 5.12 hours
Step-by-step explanation:
Since Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south,then the distance between them will be the hypotenuse of a right angle triangle.
Now, we are told that Ms. Ironperson is traveling at 50 mph and that Mr. Thoro is traveling at 60 mph.
Thus, if we want to find when they would be at 400 miles apart, it means we have to find the distance Ms. Ironperson and Mr. Thoro would have covered after a time "t".
Thus,
Ms. Ironperson covered 50t miles
Mr. Thoro covered 60t miles
Therefore, since their location forms a right angled triangle, then we can use pythagoras theorem and we have;
(50t)² + (60t)² = 400²
This gives;
2500t² + 3600t² = 160000
6100t² = 160000
t² = 160000/6100
t = √(160000/6100)
t ≈ 5.12 hours
Thus, for Iron person, distance covered is: 50 × 5.12 = 256 miles
For Mr. Thoro, distance covered is: 60 × 5.12 ≈ 307 miles.
They will be 400 miles apart when Ms. Ironperson has covered 256 miles and Mr. Thoro has covered 307 miles after 5.12 hours
One-third of the students in the marching
band signed up for the pep band. Then, fiveT
students changed their mind. If there are 31
students in the pep band, how many students
are in the marching band?
Answer:
108
Step-by-step explanation:
There are 31 students in the pep band. One third of students in the marching band signed up, and 5 changed their mind. 31 + 5 = 36, and 36 x 3 = 108. 36 is one third of 108 and there are 108 students in the marching band.
Help me answer this, please!
Answer: see attachments
Step-by-step explanation:
Simplify the expression, show all of your work 18 : 2x3 / 5-2
Answer:
2⋅(x 3 −5)
________
5
Step-by-step explanation: I hope this really help!
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x3" was replaced by "x^3".
STEP
1
:
x3
Simplify ——
5
Equation at the end of step
1
:
x3
(2 • ——) - 2
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
2 2 • 5
2 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2x3 - (2 • 5) 2x3 - 10
————————————— = ————————
5 5
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x3 - 10 = 2 • (x3 - 5)
Trying to factor as a Difference of Cubes:
3.2 Factoring: x3 - 5
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check : 5 is not a cube !!
Ruling : Binomial can not be factored as the difference of two perfect cubes
Polynomial Roots Calculator :
3.3 Find roots (zeroes) of : F(x) = x3 - 5
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -5.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,5
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -6.00
-5 1 -5.00 -130.00
1 1 1.00 -4.00
5 1 5.00 120.00
Polynomial Roots Calculator found no rational roots
Final result :
2 • (x3 - 5)
————————————
5
Answer:
2⋅(x 3 −5)
________
5
Step-by-step explanation:
Question 18 (5 points)
Which one of the following statements expresses a true proportion?
A) 3:4 = 9:12
B) 2:1 = 1:2
C) 7:9 = 8:9
D) 54:9 = 6:3
Answer:
A is the true proportion
Step-by-step explanation:
3/4 = 9/12 = 36 = 36
D2 =4 is true for ? Please help and explain how to do these kind of problems I’m strugglingggg
Answer:it’s ask me in Jakes class we’re numbered in Order from 1 to 24 jake was asked to choose classmates numbered with 5 to be in his group witch numbered could be the number of classmates in his group
Step-by-step explanation:
Four times the sum of half a number and 6 is 48. How do you put this in an equation? Please help.
Answer:
4(1/2x+6)=48
Step-by-step explanation:
half a number= 1/2x
is= equal
(-1, 2) and (3, k + 3); m =3/4
Answer:
k = 2
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Replace variables
[tex]\frac{(k+3)-2}{3+1} =\frac{3}{4}[/tex]
Step 2: Combine like terms
[tex]\frac{k+1}{4} =\frac{3}{4}[/tex]
Step 3: Solve for k
k + 1 = 3
k = 2
Answer:
k=2
Step-by-step explanation:
The slope is 3/4
The slope formula is (y1-y2)/(x1-x2)
We can plug the values in
(2-k-3)/(-1-3)=3/4
Combine like terms
(-1-k)/-4=3/4
Cross multiply
-12= -4 - 4k
-8=-4k
k=2
Hope this helps!
Simplify: 6-a(4-a)-2a
Answer:
a^2 - 6a + 6
Step-by-step explanation:
6−a(4−a)−2a =
6+a2+−4a+−2a
6+a2+−4a+−2a
(a^2)+(−4a+−2a)+(6)
a2+−6a+6
=a^2−6a+6
calculate the mid points of the line segments below using the midpoint formula given two endpoints (7,6) (10,10)
Answer: (8.5, 8)
Step-by-step explanation:
P(x) = 3x^4 – 2x3 + 2x² – 1
What is the remainder when P(x) is divided by (x + 1)?
Answer:
6
Step-by-step explanation:
Hello, we can use the Remainder Theorem, so the remainder is P(-1)
[tex]P(-1)=3+2+2-1=6[/tex]
Thanks
A manufacturer of widgets finds that the production cost, C, in dollars per unit is a function of the number of widgets produced. The selling price, S, of each widget in dollars is a function of the production cost per unit. C(x)=-0.1x^2+100 S(C)=1.4C
Answer:
I guess that you want to find the profit:
We have two equations:
the cost equation:
C(x) = -0.1*x^2 + 100.
And the selling equation, that is a vertical stretch of the cost equation by a factor of 1.4:
S(x) = 1.4*C(x) = 1.4*( -0.1*x^2 + 100.) = -0.14*x^2 + 140
Now, whit those two equations we can find the profit equation, that is defined as the difference between the selling price, and the cost:
P(x) = S(x) - C(x) = 1.4*C(x) - C(x) = (1.4 - 1)*C(x) = 0.4*C(x).
Then the profit is 0.4 times the initial cost.
P(x) = 0.4*( -0.1*x^2 + 100.) = -0.04*x^2 + 40
Answer:
D. S(C(x))= –0.14x^2+140; $108.50
Step-by-step explanation:
Cause the others are wrong
i need help!! due in 8.25 at 11pm!!
15 points!!
Answer:
Hey there!
The equation is y=-3/4x+6. (Note the 3/4 is negative because the line has a negative slope.
Let me know if this helps :)
Answer:
[tex]\huge \boxed{y=-\frac{3}{4}x+6 }[/tex]
Step-by-step explanation:
Two points are (0, 6) and (8, 0)
Finding the slope.
m = (y2-y1)/(x2-x1)
m = (0-6)/(8-0)
m = -6/8
m = -3/4
The y-intercept is 6.
y = mx + b
m = slope
b = y-intercept
y = -3/4x + 6
how many boards,each 2 ft and 8 inches long, can be cut from a board 16 inches long?
Answer: 2
Step-by-step explanation: 16/8=2
Let f(x) = 2x + 2. Solve f−1(x) when x = 4.
Answer:
The answer is 1
Step-by-step explanation:
You replace the x with 4 making it 4-2/2=1
reflect figure over line x=4
Answer:
x=-4
Step-by-step explanation:
Filp the sign
The reflection of the line x = 4 will be x = -4.
What is reflection?Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.
The given equation of line,
x = 4.
The reflection of the line x = 4 will be x = -4.
The reflected graph is shown below.
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please help me answer the assignment in the picture.
Mean: 52.2 because its the average of all the numbers
Range: 2 because (60-58)
Median: 53 because its in the middle of all the numbers
Mode : None
Your neighbor has a square shaped pool with side lengths of 3a5. What is the area of the pool?
Answer:
15a
Step-by-step explanation:3times3times3times3times3
if x = 20
-5 - 3x - x - (-16)
Answer:
Answer : -69
Step-by-step explanation:
-5 - 3x - x- (-16)
= -5 -3 ×(20) - 20 -( -16)
= -5 - 60 -20 +16
= -85 + 16
= -69.
Hope it helps,
Mark it as Brainliest.
Help please I need this ASAP
Answer:
35
Step-by-step explanation:
Brianna=x
Justin=x+10
Hannah=2(x+10)
x+x+10+2x+20=130
4x+30=130
4x=130-30
4x=100
x=25
Justin =x+10 = 25+10=35
plz give correct answer...correct answer will be marked BRAINLIEST and be followed...
Answer:
x = 40
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
2x + x + [tex]\frac{3x}{2}[/tex] = 180 ( multiply through by 2 to clear the fraction )
4x + 2x + 3x = 360 , that is
9x = 360 ( divide both sides by 9 )
x = 40
Who knows answer?
Quickly.
Answer:
12 ft^2
Step-by-step explanation:
48 inches needs to be converted to ft
12 inches = 1 ft
48/12 = 4 ft
36 inches needs to be converted to ft
12 inches = 1 ft
36/12 =3 ft
Find the area
4 ft * 3 ft = 12 ft^2