Asserting a cause - and - effect relationship with highly correlated variables may sometimes be misleading due to the presence of a possible lurking or confounding variable.
Lurking variables cause unintended or spurious association between correlated variables. In the scenario described, a possible confounding variable may be weariness or Fatigue which whereby the mother finds it easier to bottle feed as they have become psychologically disturbed and are prone to be more receptive during these period.
Hence, fatigue is a possible lurking variable in this scenario.
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What is the probability of picking a number divisible by 4 between (and including) the numbers 12-20?
Answer:
5/9 or 55.5%
Step-by-step explanation:
there are 5 numbers divisible by 4, 12-20 inclusive: 4, 8, 12, 16, 20
there are 9 numbers from 12-20, inclusive
answer would be 5/9
you are helping your mom cook christmas dinner. you can peel 2 potatoes per minute. you need 60 potatoes to feed the entire group. How long will it take you to finish if you have already peeled 18 potatoes?
Answer: 21 mins to peel the balanced potatoes
Step-by-step explanation:
Solve for x: 2/3 = x-1/5
Answer: x=13/3
Step-by-step explanation:
Eliminate the parameter, t, in the parametric equations, x = 3cos(t) and y = -6sin(t).
A) 2 x2 + y2 = 36
B) x2 + y2 = 2
C) 4 x2 + y2 = 36
D) x2 + y2 = 36
Recall that
cos²(t) + sin²(t) = 1
Then solving for cos(t) and sin(t), we have
x = 3 cos(t) ===> cos(t) = x/3
y = -6 sin(t) ===> sin(t) = -y/6
so that the above identity gives us
(x/3)² + (-y/6)² = 1
x²/9 + y²/36 = 1
36 (x²/9 + y²/36) = 36
(C) 4x² + y² = 36
The parametric equation in the Cartesian form is 4x² + y² = 36 the correct choice is (C).
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
We have two parametric equations:
x = 3cos(t) and
y = -6sin(t).
As we know, the trigonometric identity:
sin²θ + cos²θ = 1
For checking the option (A):
2x² + y² = 36
= 2(3cos(t))² + (-6sin(t))²
= 18cos²t + 36sin²t ≠ 36
Similarly, for checking the option:
4x² + y² = 36
= 4(3cost)² + (-6sint)²
= 36cos²t + 36sin²t
= 36(cos²t + sin²t)
= 36(1) = 36
Thus, the parametric equation in the Cartesian form is 4x² + y² = 36 the correct choice is (C).
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need the answer noww pls
A rectangular prism is made up of 320 unit cubes. The prism is 8 unit cubes wide.
Which could be the other dimensions of the rectangular prism? Choose all the possible dimensions.
A. 4 unit cubes long
10 unit cubes high
B. 5 unit cubes long
8 unit cubes high
C. 8 unit cubes long
5 unit cubes high
D. 8 unit cubes long
8 unit cubes high
E. 10 unit cubes long
4 unit cubes high
F. 20 unit cubes long
2 unit cubes high
G. 20 unit cubes long
20 unit cubes high
H. 25 unit cubes long
15 unit cubes high
Answer:
A, B, C, E, F.
Step-by-step explanation:
320 / 8 = 40
So the length times the height of the prism will be 40.
So the possible dimensions are
A ( 4 * 10).
B.
C.
E.
F
The option (A), (B), (C), (E), and (F) are correct because the multiplication of the length and height is 40.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
We have volume of rectangular prism = 320 cubic unit
Width of the rectangular prism = 8 unit
320 = l×w×h
320 = 8l×h
l×h = 40
So the multiplication of the length and height should be 40
A. 4 unit cubes long and 10 unit cubes high:
l×h = 4×10 = 40
B. 5 unit cubes long and 8 unit cubes high:
l×h = 5×8 = 40
C. 8 unit cubes long and 5 unit cubes high:
l×h = 8×5 = 40
D. 8 unit cubes long and 8 unit cubes high:
l×h = 8×8 = 64
E. 10 unit cubes long and 4 unit cubes high:
l×h = 10×4 = 40
F. 20 unit cubes long and 2 unit cubes high:
l×h = 20×2 = 40
G. 20 unit cubes long and 20 unit cubes high:
l×h = 20×20 = 400
H. 25 unit cubes long and 15 unit cubes high:
l×h = 25×15 = 375
Thus, the option (A), (B), (C), (E), and (F) are correct because the multiplication of the length and height is 40.
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Leah is solving the equation below using the properties of exponents.
2^2x-3 = (1/16)^3x+9
Here is Leah's work: (see attached picture)
Which line has Leah's mistake? What is Leah's mistake?
Answer:
Lea messed up on line one when you flip a fraction the exponents become negative hers haven't changed
Step-by-step explanation:
I dont understand this question and i keep getting it wrong.
Answer:
48
11
Step-by-step explanation:
5 glasses ------ 20 sec
12 glasses ------ ?
so 5 * x = 12 * 20
x = 12 * 4
x = 48
12 glasses ------- 48 sec
? glasses ------- 44 sec
so 12 * 44 = x * 48
44 = x * 4
x = 44/4 = 11
x = 11
Answer:
12 - 48
11 - 44
Step-by-step explanation:
20 ÷ 5 = 4
12 · 4 = 48
44 ÷ 4 = 11
I hope this helps!
Evaluate x + y - 4 when x = 4 and y = 1
Answer:
1
Step-by-step explanation:
Subsitute x and y:
x + y - 4
= 4 + 1 - 4
= 1
Can you help me in this question ASAP!!!
Answer:
increase
$750
y=750x+1000
How many weeks are there a month?
Answer:
4 weeks
Step-by-step explanation:
Answer:
About 4 weeks
Step-by-step explanation:
Solve for x
12x = 22
=
Give your answer as an improper fraction in its
simplest form.
X =
Answer: 11/6 0r 1 5/6
Step-by-step explanation:
12x = 22
x = 22/12
x = 11/6 or 1 5/6
graph the function f(x) = 3(4)^x
Answer:
That depends on how accurate you are with pen and paper.
You can tell it's a growing exponential, so the form is the traditional one. If you are particularly inclined in crunching numbers and working on a grid I would pick 0, 1 and -1, 1/2 and -1/2, a few positive integers, and that's it.
If not, i would be satisfied saying that when x = 0 (ie, the y intercept) y= 3, and that's all. Then, my drawing is made with paint, don't expect a masterpiece.
Andre and Diego were each trying to solve 2x+6=3x−8 . Complete the statement that describes the first step they each made in solving the equation.
Choices:
-x
-2x
-3x
The first step was the combine the like terms; in this example he is subtracting the 3x on both sides of the =.
If you were to solve the equation it would look like this:
2x+6=3x-8
-3x -3x
-x+6=-8
-6 -6
-x=-14
/-1 /-1
x=14
Answer:
2x
Step-by-step explanation:
Diego subtracted 2x from the left side which gave him 6 and subtracted 2x from the right side of the equation to get x-8
Describe the domain and range. Graph the function. What do I do with the -3? The graph shows that y and x are at 0 so...?
Answers:
Domain: all real numbers
Range: [tex]y \le 6[/tex]
Graph is below.
====================================================
Explanation:
This is a piecewise function that is composed of two parts:
The first piece being y = x+6 but only when [tex]x \le 0[/tex]The second piece occurs when x > 0 and that piece is y = -3xThis piecewise function has split identities or multiple aliases so to speak. It all depends on what the x input is.
The graph is shown below.
The domain is the set of all real numbers since any x value will lead to some y output. Even x = 0 itself is allowed. Note the arrows indicate the graph stretches on forever to the left and to the right.
The range on the other hand isn't all real numbers. Instead, it's [tex]y \le 6[/tex] indicating that y = 6 is the largest y can get. Simply locate the highest point on the graph (similar to the concept of the vertex) and you'll spot the highest y value.
Side notes:
The domain in interval notation is [tex](-\infty, \infty)[/tex] which encompasses the entire real number line.The range in interval notation is [tex](-\infty, 6][/tex] where the square bracket includes the endpoint 6.Part C What conclusion can you draw from this? To determine whether they used the same number of tiles, set the two expressions equal to each other and solve for x. Is there a solution for x? Why or why not? If there is a solution, what is it?
Answer:
We can conclude that someone used more tiles then the other because both equations are not equal.
Step-by-step explanation:
If you try to solve it both equations will not be shown as equal.
Eight cards bearings the letters T, H, I, R, T, E, E, N are placed in a box. 3 cards are drawn out at
random without replacement. Calculate the probability that (i)the three cards bear the letter
T,E,N in that order(ii) in any order.
Answer:
probablity of getting T =1/8
probablity of getting E =1/8
probablity of getting N =1/8
Step-by-step explanation:
hope it helpz u
plzz plzz plzzz mark as brainliest
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
The domain and range of the functions are:
Function (A):
Domain: (-2, -1, 0, 2); Range: -4Function (B):
Domain: (-4, -2, 1, 4); Range: -8What are domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest.So, the domain and range of the function:
Function (A):
Domain: (-2, -1, 0, 2)Range: -2 -2 = -4Function (B):
Domain: (-4, -2, 1, 4)Range: -4 -4 = -8Therefore, the domain and range of the functions are:
Function (A):
Domain: (-2, -1, 0, 2); Range: -4Function (B):
Domain: (-4, -2, 1, 4); Range: -8Know more about the domain and range here:
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A 7-kg bag of apples for $10
Answer:
finish the question
Step-by-step explanation:
Asher's sister is eight years older than
Asher. Their combined ages add up to 20.
How old is Asher?
Equation:
Solution:
if 2+8=10 then 12+8=20 so Asher is 12 years old while His sister is 20 cus we're adding Ash age to his sister which we don't kno what her age is but at the same time we both know that whatever her age is it adds up to 20
What is the surface area of a cylinder with radius of 4 and height of 12
Answer:
It's around 402.12
A=2πrh+2πr2=2·π·4·12+2·π·42≈402.12386
Resolver 3 -2x=12 -6x
Answer:
x = 9/4
Step-by-step explanation:
Solve for x. Start by adding 6x to both sides, which results in 3 + 4x = 12.
Combine the constants, obtaining 4x = 9.
Dividing both sides by 4, we get x = 9/4.
Answer:
x=
mixed number form: 2 1/4
decimal form: 2.25
exact form: 9/4
the ranch house serves a 24 oz sirloin steak that has a total of 1,800 calories. how many calories per ounce does the steak have
The amount of calories per ounce does the steak have is 75 calories per ounce.
Using this formula
Calories per ounce=Total calories/Number of oz sirloin steak
Where:
Total calories=1,800 calories
Number of oz sirloin steak=24 oz
Let plug in the formula
Calories per ounce=1800/24 oz
Calories per ounce=75 calories per ounce
Inconclusion the amount of calories per ounce does the steak have is 75 calories per ounce.
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Select the algebraic definition for the piecewise function graph.
Answer:
I don't the answer man sorry
Match each system of equations to its point of intersection.
y = 2x + 1
y = x + 3
y = x + 3
y = -3x - 2
y = -x - 7
y = x + 3
y = -x - 7
y = 2x + 1
y = 2x + 1
y= -3x - 2
Answer:
1. (2,5)
2. (-1.25, 1.75)
3. (-5,-2)
4.(-2.66, -4.33)
5. (-0.6, -0.2)
Step-by-step explanation:
Solve by substituting the y's and solve for x. Plug in x into one of the equations and find the y value for your point of intersection
Answer:
Ur reatarded
Step-by-step explanation:
I have to find out what 56 divided by 1/17 is
Answer:
it's 952 :)
Step-by-step explanation:
I hope this was helpful!
God loves u ! Byeee
a basketball game that costs 35 was put on sale at a 15 discount what was the sale price of the basketball
Answer: before the sale, the basketball game was $50.00 .
Step-by-step explanation: you do $35.00 + 15% and you would get $50
Is it harder when its in words instead of written problems
Answer: It depends, some are easier as words, and some are easier as written problems.
-Hope it helps!
The quotient of a number and -4 is -9
Answer:36
Step-by-step explanation:36÷ -4 = -9
The answer would be 36 which is 36÷ -4 = -9 after applying the arithmetic operation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
The quotient of a number and -4 is -9
Mathematically we can write:
x ÷ -4 = -9
x/(-4) = -9
x = 36
OR
36 ÷ -4 = -9
Thus, the answer would be 36 which is 36÷ -4 = -9 after applying the arithmetic operation.
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-74 = 4/9x - 2 equation
Answer -162
Step-by-step explanation:
Answer:
=−162
Step-by-step explanation:
