When x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable. This is true
What is a confounding variable?It should be noted that confounding variables are variables which affect other variables in such a way that it produces distorted associations between two variables. It should be noted that they confound the "true" relationship between two variables.
In this case, a causal relationship between two variables is often described as the way in which the independent variable affects the dependent variable.
Therefore, the information illustrated is true.
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Need help with this equation: y(a - b) =c(y + a), solve for y
Answer:
[tex]y = \frac{ac}{a - b - c} [/tex]
Complete the table
kilometers
1
5
20
0.3
meters
1,000
5 kilometers equals how many meters?
points P, Q, R, and S are collinear. Point Q is between P and R, R is between Q and S, and . and PQ = RS . If PS = 33 and PR 25, what is the value of QR?
the following are the weights of 10 young dogs, in pounds: 7, 5, 11, 8, 14, 19, 16, 15, 13, 27 what proportion of the measurements lie in the interval (write it up to first decimal place)?
The proportion of the measurements lie in the interval is 0.9.
According to the given question.
Weigths of 10 young dogs.
W : 7, 5, 11, 8, 14, 19, 16, 15, 13, 27
As we know that mean si calculated by the formula
Mean = ΣW / n
Thereofre, the mean of the weights of 10 young dogs
= 7 + 5 + 11 + 8 + 14 + 19 + 16 + 15 + 13 + 27/ 10
= 13.5
And, Standard deviation (s) = 6.433
Proportion that lies in mean ± 2s
Lower = Mean - 2s
⇒ 13.5 - 2(6.433) = 0. 632
Also, Upper = Mean + 2s
⇒ 13.5 + 2(6.433) = 26.376
Mean ± 2(sd) = (0.632, 26.276)
The only digit from the data which falls outside the defined range = 27
Proportion within interval = 9 / n
Proportion which falls within interval = 9/10 = 0.9
Hence, the proportion of the measurements lie in the interval is 0.9.
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10. If the mine winch drum diameter is 6M, calculate how far the counterweight will lift for each single rotation of the drum.
The counterweight lifted in each rotation of the drum is 18.85m.
The diameter of the drum is : d=6m
hlift=C=πd
C=[tex]\frac{22}{7}[/tex]×6
C=18.85 m
Any straight line segment that cuts through the center of a circle and has ends that are on the circle is considered a circle's diameter in geometry. It is also known as the circle's longest chord.
Diameter also refers to the length d of a diameter. As opposed to a diameter, which refers to the line segment itself, one uses the term "diameter" in this context since all diameters of a circle or sphere have the same length, which is equal to twice the radius r. The longest distance that may be generated between the tangents of two opposite parallel lines is referred to as the diameter for a convex shape in the plane.
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21x^7y^7z^4+31x^4y^4 21x 7 y 7 z 4 +31x 4 y 4
Factor completely using GCF
The factored expression of 21x^7y^7z^4 + 31x^4y^4 is x^4y^4(21x^3y^3z^4 + 31)
How to factor the expression completely?The expression is given as
21x^7y^7z^4 + 31x^4y^4
Express the above expression as a product
So, we have
21x^7y^7z^4 + 31x^4y^4 = 21x^3y^3z^4 * x^4y^4 + 31 * x^4y^4
Factor out x^4y^4
So, we have
21x^7y^7z^4 + 31x^4y^4 = x^4y^4(21x^3y^3z^4 + 31)
Hence, the factored expression of 21x^7y^7z^4 + 31x^4y^4 is x^4y^4(21x^3y^3z^4 + 31)
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Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2, 5) \text{ and } (-8, -3)
(−2,5) and (−8,−3)
The distance between the two points ( − 2 , 5 ) and ( − 8 , − 3 ) is 10 units.
We are given the two points:
( − 2 , 5 ) and ( − 8 , − 3 )
We need to find the distance between the two points.
The formula for distance is given as:
Distance = √ (x₂ - x₁)² + (y₂ - y₁)²
Substituting the values, we get that:
Distance = √ ( - 8 + 2 )² + (- 3 - 5)²
Distance = √ ( - 6 )² + ( - 8 )²
Distance = √ 36 + 64
Distance = √ 100 .
Distance = 10 units.
Therefore, we get that, the distance between the two points ( − 2 , 5 ) and ( − 8 , − 3 ) is 10 units.
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Carpet sells for $4 per square foot and will cost you $616 to recarpet your rectangular room. if your room is 14 feet long, how many feet wide is it?
When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet
Given,
The cost of Carpet per square foot = $4
Total cost of the carpet = $616
We know
Area of the rectangle = Length × Width
Length = 14 feet
Consider the width of the rectangular room as x
Then the area of the room = 14x
Total cost of carpet = Area of the rectangular room× Cost of carpet per foot
Substitute the values
14x×4=616
14x=154
x=11 feet
Hence, When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet
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Carl had $840 more than Daisy. Carl spent 3/4 and Daisy spent 3/5 of their money respectively. Daisy was then left with $60 more than Carl. How much did Carl have at first?
Carl had 1920 dollars at first.
Word Problem leading to equationGiven that Carl had $840 more than Daisy.
Let Daisy money = M
Carl Money = 840 + M
If Carl spent 3/4 and Daisy spent 3/5 of their money respectively. That is,
for Carl: 3/4 × (840 + M) = 630 + 3M/4
The remaining amount = (840 + M) - (630 + 3M/4)
Amount = 210 + M/4
for Daisy: 3/5 × M = 3M/5
The remaining amount = M - 3M/5
Amount = 2M/5
Daisy was then left with $60 more than Carl. Then,
2M/5 = 60 + 210 + M/4
2M/4 = 270 + M/4
Collect the like terms
2M/4 - M/4 = 270
M/4 = 270
M = 4 × 270
M = 1080 dollars
Since Carl had $840 more than Daisy, Carl amount = 840 + 1080
Carl amount = 1920 dollars
Therefore, Carl had 1920 dollars at first.
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Factors estimate 5,897 times 67
Factors estimate 5,897 times 67
The estimate product of the factors 5897 times 67 is 383500.
We have to use strategies to estimate the products.
We can round each factor to the greatest place value which is the place value farthest to the left.
we can use compatible numbers.
compatible numbers are friendly numbers they are easy to compute numbers.
Given 5897[tex]\times[/tex]67=395099
This is the actual factor
But the estimation product is
We use mental math and compatible numbers here.
step1: 5900[tex]\times\\[/tex]70=413000
step2:5900[tex]\times[/tex]65=383500
Both the step1 and step2 are reasonable because the factor are close to the actual factor.
But 5900[tex]\times[/tex]65=383500 is better because it is very close to the actual factor compared to 5900[tex]\times\\[/tex]70=413000.
Therefore, The estimate product of the factors 5897 times 67 is 383500.
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HELP ASAP I DON'T UNDERSTAND
Answer:
option 3
Step-by-step explanation:
4x² - 100 = 0 ( add 100 to both sides )
4x² = 100 ( divide both sides by 4 )
x² = 25 ( take square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
then
x = - 5 , x = 5
The straight line depreciation equation for a car is y=-3680 +39500
Finding the numeric value of the function, it is found that the car is worth $24,780 after 4 years.
What is the problem?This problem is incomplete, but researching it on a search engine, we have that:
The straight line depreciation equation for a car is y = -3680x + 39500.
It asks the value of the car after 4 years.
How to find the numeric value of a function?The numeric value of a function is found replacing each instance of x by the value that we want to find.
For this problem, means that the value of the car after x years is given by:
y = -3680x + 39500.
Hence, after 4 years, the value is:
y = -3680(4) + 39500 = $24,780.
The car is worth $24,780 after 4 years.
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EBOB
FDGHFDHDHAFHSGFJSFHSHRHGHGSFD
Answer:
purple. (said with British ascent)
Graph the coordinates J(-2,-0.5) K(0,2) L(-4,-2)
Graph the coordinates J(-2,-0.5) K(0,2) L(-4,-2) is attached.
Given that
Three points
J (-2,-0.5)K (0,2)L (-4,-2)To do
We have to show all that points in graph.So, according the question
We have
Three points J,K AND .L
For Showing that all points in graph, We have to follow some points
See the value of x and y of given pointFind out the point lie in which coordinate plane. Locate that point on coordinate plane.So, from question
J (-2,-0.5) = This point have the value of x is -2, and the value of y is -0.5. So that point lie in 3rd coordinate plane. That point showing in given graph.K(0,2) = This point have the value of x is 0, and the value of y is 2. So that point lie in 1st coordinate plane. That point showing in given graph.L(-4,-2) = This point have the value of x is -4, and the value of y is -2. So that point lie in 1st coordinate plane. That point showing in given graph.To learn more about coordinate plane please click on the link:https://brainly.com/question/14462788
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Alfred delivers 10 to the power of 2 newspapers every week. How many does he deliver in 14 weeks?
Answer:
1400
Step-by-step explanation:
10² is 100 so 100*14 is 1400
A local donut shop charges $0.89 per donut, plus a one-time charge of $0.15 for the box, the service, etc. (a) write a function that expresses the amount charged as a function of the number of donuts bought. (b) use the function from (a) to determine the price of a box with a dozen donuts in it. (c) use the function from (a) to determine how many donuts would in a box that cost $6.38.
The answers are as follows -
(a) f(x) = 0.15 + 0.89x
(b) $ 10.83.
(c) 7 donuts
(a) Firstly, forming the function using given information. Let x be the number of donuts. Adding the one-time fee and cost per donut.
f(x) = 0.15 + 0.89x
(b) As per the known fact, 1 dozen = 12 quantities. Hence, there will be 12 donuts. Keeping the values in formula to find the price of box.
f(12) = 0.15 + 0.89 × 12
f(12) = 0.15 + 10.68
f(12) = 10.83
Thus, the price of box containing one dozen donuts is 10.83.
(c) Now, finding the value of x as per given cost.
6.38 = 0.15 + 0.89x
0.89x = 6.38 - 0.15
0.89x = 6.23
x = 6.23 ÷ 0.89
x = 7
Thus, a box costing $6.38 will contain 7 donuts.
Hence, (a) f(x) = 0.15 + 0.89x, (b) $ 10.83 and (c) 7 donuts.
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Find the slope of the line that passes through (-6,10) and (7,-10)
Take the difference in y coordinates and divide that by the difference in the x coordinates. That's the slope, sometimes called the "rise over run" For a straight line or a linear function the slope is a constant
(6-10)(7,10) = 2/3 = slope
the line is
y-h = m(x-k) where m=2/3 and (k,h) = (10,10) or either point
to get y-10 = (2/3)(x-10)
3y -30 = 2x-20
2x-3y = -10
or use (k,h) as (7,8)
y-8 = (2/3)(x-7)
3y-24 = 2x-14
2x-3y = -10
or if you write it in y=mx + b form
it's y=(2/3)x + 10/3 where 10/3 is the y-intercept and 2/3 = slope
In this form, take the derivative of (2/3)x + 10/3
to get y' = 2/3, the derivative is the slope
What is the domain of the relation {(-3, 3), (–1, 0), (6, 3), (9, -2)}?
(3, 6, 9)
(-3,-2, -1)
(-2, 0, 3)
(-3,-1, 6, 9)
Answer:
Domain { -3,-1,6,9}
Step-by-step explanation:
The domain is the input values
Domain { -3,-1,6,9}
Solve for d.
-6 + d = 7 + 3d + 3
d = [
Submit
Answer:
so if add everything and subtract them for d you get 7
Please hurry , Will give brainliest to anybody . Very simple question !!!
Answer:
Step-by-step explanation:
The left option
(4,3), (1,3), (0,5), (1,8)
Sara leaves home at 8:00 a.m. and drives at an average speed of 45 miles per hour. Her brother Pedro leaves home at 9:00 a.m. and drives along the same path at an average speed of 65 miles per hour. a. How many hours will Sara have driven when Pedro catches up with her? hours b. How far from home are they when Pedro catches up with Sara?
Using linear functions, we have that:
a. Sara will have driven 2.25 hours when Pedro catches up with her.
b. They are 146.25 miles from home when Pedro catches up with Sara.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.We have to consider the starting time as when Pedro leaves, when Sara will be at position 45 miles. Considering the velocities as the slope, the functions are:
S(t) = 45 + 45t. P(t) = 65t.Pedro will catch up with Sara when:
P(t) = S(t)
Hence:
65t = 45t + 45
20t = 45
t = 45/20
t = 2.25 hours.
Sara will have driven 2.25 hours when Pedro catches up with her.
The distance from home will be given by:
P(2.25) = S(2.25) = 65(2.25) = 45(2.25) + 45 = 146.25.
They are 146.25 miles from home when Pedro catches up with Sara.
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If 5/9 of the vegetable medley is green beans and there is a total of 5 pounds of
vegetable medley, how many pounds of green beans do they have? Leave your
answer as an improper fraction, if applicable.
The pounds of green beans in the vegetable medley is 2.78 pounds
FractionTotal pounds of vegetable medley = 5 poundsFraction of green beans in vegetable medley = 5/9Pounds of green beans in the vegetable medley = Fraction of green beans in vegetable medley × Total pounds of vegetable medley
= 5/9 × 5
= (5 × 5) / 9
= 25 / 9
= 2.777777777777777 pounds
Approximately,.
Pounds of green beans in the vegetable medley = 2.78 pounds
Therefore, the pounds of green beans in the vegetable medley is 2.78 pounds
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Fill in the blank.
The coordinate of point H, the midpoint of DE, is 5. If the coordinate of D is greater than the coordinate of E. and DE = 24. then the coordinate of D is Blank
Answer:
D has the coordinate 17
Step-by-step explanation:
Given
DE has as the mid point H at 5
D > E
DE = 24
Find the coordinate of D
5 + (24/2) = 5+12 = 17
Find the sum of the first 13 terms of the sequence 2, 5, 8, 11,.... [answer format: integer, no units]
According to the given statement the first 13 words in this sequence add up to 260.
What is sequence?In mathematics, a sequence is an itemized group of elements where repeats are tolerated and order is significant. It has members, just like a set (also called elements, or terms). The length of the series is the number of items (potentially infinite). In contrast to a set, the same items might occur more than once in a sequence at various points, and unlike a set, the order is important. A sequence can be described formally as a function from natural numbers (the locations of the sequence's members) to the items at each of those positions. An indexed family, which is a function from an index set that may not be integers to another set of elements, can be thought of as a more extended version of a sequence.
According to the given data:We are informed that the order is2,5, 8, 11, ..... ..............(1)
The total of the first 13 terms must always be established.
Sum of n terms formula is
Sn (2a + (n − 1)d)
First term = a = 2 from
(1)The average difference is 3 (5-2=8-5=11-8=3).
via formula
S13 13 (2a +(13 – 1)d) 2S13 13
(2 x 2 + (13 - 1) 3) 213
(4+36)13 (40)
= 260
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A nearby skating park charges $4 for skates and an hourly rate for each hour.
The sign on the right gives the prices for up to 3 hours of skating. Which linear
equation represents the given information where C is the total cost and h is the
number of hours spent in the park?
1 hour
2 hours
3 hours
$15
$30
$45
The linear function that gives the cost of spending h hours at the park is given by:
C(h) = 2 + mh.
In which m is the hourly rate.
What is a linear function?Two separate but related concepts are referred to as linear functions in mathematics: A polynomial function of degree 0 or 1 is referred to as a linear function in calculus and related fields if its graph is a straight line.
A straight line makes up the graph of a linear function. The following expression describes a linear function. Y equals f(x) = a + bx. Both the independent and dependent variables of a linear function are one. X is an independent variable, whereas Y is a dependent variable.
The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.
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Find the slope, y intercept and equation LAST ONE FOR THIS
Aileen's bi-weekly gross pay is $799.80. She sees that $151.96 was deducted for taxes. What percent of Aileen's bi-weekly gross pay has been withheld for tax? Round to the nearest whole percent.
The Percent of Aileen's bi-weekly gross pay has been withheld for tax is 81 %.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
Aileen's bi-weekly gross pay = $799.80
Deducted for taxes=$151.96
According to given question we have
Percent of Aileen's bi-weekly gross pay has been withheld for tax
[tex]\frac{799.80-151.96 }{799.80} *100\\\\=81 %[/tex]
Therefore, the Percent of Aileen's bi-weekly gross pay has been withheld for tax is 81 %.
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Answer: 19%
Step-by-step explanation: Just took the test. 799.80 x .19= 151.96
Can someone answer this correctly please and thank you :D
Darcy is planting trees along a new city sidewalk. She plants the same number of trees on each city block. After 5 blocks, she has planted 25 trees. After 7 blocks, she has planted 35 trees. At what rate is Darcy planting trees?
35-25/7-5
10/2= 5
5 trees per hour
it took andrea 1.8 hours to drive to her mother's house on saturday morning. on her return trip on sunday night, traffic was heavier, so the trip took her 2 hours. her average speed on sunday was 5 mph slower than on saturday. what was her average speed on saturday?
Answer:
45mph
Step-by-step explanation: