For the given situation, we can clearly say that the change in one quantity will also cause a change in the second quantity.
Correlation is a relationship between the values of two variables. A scatter plot is a useful tool for displaying data about two variables as a series of points in the x and y plane and determining whether there is a correlation between the variables.
Causality means that one event causes another. Well-designed experiments can only determine causality. In such experiments, similar groups receive different treatments, and the results of each group are examined.
The collected data on the number of miles driven and fuel expenses. we found that number of miles driven tended to be lower when fuel expenses were high, and the number of miles driven tended to be higher when fuel expenses sales were high.
We do not conclude that more fuel expenses mean fewer miles driven. Likely, an Increased in fuel expenses and the number of miles driven may be caused by a third factor, car mileage. So, the present case is a case of negative correlation.
Negative correlation: y decreases as x increases.
A similar problem is solved in the given link below.
brainly.com/question/13507147
#SPJ4
Write an algebraic expression that models each situation.
The piggy bank contained 25 , and 1.50 is added each day.
The algebraic expression of the piggy bank contained $25 and $1.50 is added each days is 25+1.50x
Given,
The piggy bank contained = $25
The amount added in each day = $1.50
Consider number of days as x
Then the algebraic expression = 25+1.50x
Hence, the algebraic expression of the piggy bank contained $25 and $1.50 is added each days is 25+1.50x
Learn more about algebraic expression here
brainly.com/question/23008830
#SPJ4
factorise and hence evaluate :
2,014^2-2,012^2
Answer:
8,052
Step-by-step explanation:
(2,014 - 2,012) x (2,014 +2,012)
2 x 4,026
8,052
Find the volume of a cone that has a diameter of 10 inches and height of 2 inches in terms of pi. (PLEASE SHOW WORK IF POSSIBLE)
The volume of a cone that has a diameter of 10 inches and height of 2 inches in terms of pi 50/3pi cubic inches
Volume of a coneThe formula for calculating the volume of a cone is expressed according to the formula
V = 1/3 pir²h
where
r is the radius of the cone = 10/2 = 5in
h is the height = 2in
Substitute to have;
V = 1/3pi(5)² × 2
V = 50/3pi
Hence the volume of a cone that has a diameter of 10 inches and height of 2 inches in terms of pi 50/3pi cubic inches
Learn more on volume of cone here: https://brainly.com/question/1082469
#SPJ1
Simplify the expression.
16-12 / 15-11
The simplified expression for (16-12 / 15-11) is 1 .
The given expression is,
( 16-12 / 15-11 )
First we need to solve the numerator which is (16-12) and on simplifying the numerator we can write,
Numerator = ( 16 - 12 ) = 4 equation 1
Similarly, now we can proceed to solve the denominator which is (15 - 11) and on simplifying the denominator we write,
Denominator = (15 - 11) = 4 equation 2
Now we can substitute the value of numerator and the denominator from equation 1 and equation 2 in the given expression ( 16-12 / 15-11 ) as,
(Numerator / Denominator) = (16-12 / 15-11) = (4/4) = 1
The simplified expression for (16-12 / 15-11) is 1 .
To know more about Simplifying Expressions refer to the link:
brainly.com/question/1280754
#SPJ4
how can changing fractions to decimals make them easier to compare?
Answer:
They are easier to compare because you don't have to simplify in your head or change denominators to make two fractions comparable.
Step-by-step explanation:
Which expression is equal to this expression, according to the associative property? 5+(3-1)
Answer:7
Step-by-step explanation:
3-1= 2
5+2=7
Put the following numbers in order from least to greatest
1/2, -2, √5, -7/4, -24
Answer:
-24 < -2 < -7/4 < 1/2 < √5
Step-by-step explanation:
Negative integers are always less than 0 and positive integers. More the magnitude (numerical value) of a negative integer, lesser is that number.Hence the order of negativeintegers will be -24 < -2 < -7/4. 1/2 is 0.5 and root 5 is around 2.236. Hence, 1/2 < √5. The final order is -24 < -2 < -7/4 < 1/2 < √5
Find the eighth term of each geometric sequence. 3,9,27, . . . . .
Answer:
6561
Step-by-step explanation:
You multiply by 3 each time.
2.
lons that are made of more than
one atom are called
A ionic compounds
B crystals
C polyatomic atoms
D ionic bonds
Answer:
C polyatomic atoms
Step-by-step explanation:
name all the sets of numbers to which each real number belongs.
1. 12
2. -15
3. 1 1/2
4. 3.18
5. square root 48
6. 9.3
7. -2 7/9
8. square root 25
9. square root 3
10. negative square root 64
11. negative square root 12
12. 8/4
These are the description of the real numbers.
According to the statement
We have to explain all about the real numbers.
So, For this purpose, we know that the
Positive or negative, large or small, whole numbers, fractions or decimal numbers are all Real Numbers.
From the given information:
Real numbers are composed of the subsequent set of numbers : Whole numbers, natural numbers, integers, rational numbers and irrational numbers.
• Natural numbers include all positive numbers which can be used for ordering or counting. They include numbers from 1, till infinity.
• Whole numbers include all positive integer values including 0.
• Integer numbers are the set of all positive and negative integer values including 0. Examples are : (-1, 0, 8)
• Irrational numbers are non-integer values which can't be expressed within the form a/b. like (√5, 1.7171...)
Using the definitions above :
• 12 = Natural, integer , integer and rational (12/1)
• -15 = Integer, rational (-15/1)
• 1 1/2 = 3/2 = Rational
• 3.18 = rational (terminating decimal)
• root 48 = √48 = 6.928... = irrational(non-terminating and non-repeating)
• 9.3 = rational (terminating decimal)
• -2 7/9 = -25/9 = rational (a/b)
• root 25 = √25 = ±5 = integer, rational (5/1)
• root 3 = √3 = 1.732... real (non-terminating and non-repeating) .
• negative root 64 = - √64 = - 8 = integer, rational (-8/1)
• negative root 12 = - √12 = - 3.464... = irrational (non - terminating)
• 8/4 = 2 = natural, number, rational, integer
So, These are the description of the real numbers.
Learn more about real numbers here
https://brainly.com/question/11408596
#SPJ9
A diver is 7.5 meters above water. she takes her dive 1.7 meters below the surface. how far does the dive take her.
The diver take her at a distance of 9.2 meters.
What is distance?A resultant displacement can be used to quantify distance. It involves measuring the coordinate values of the beginning and ending positions. The distance is measured in quantities like meters, centimeters, kilometers, etc.
A diver descends 1.7 meters below the surface of the water while suspended 7.5 meters above it, according to the question.
According to fundamental mathematics, values that are less than zero can be represented as negative values.
She will thus descend (-1.7) meters as she dives below the surface.
The formula may now be expressed as follows: Total Distance = 7.5 - (-1.7) = 9.2 meters.
As a result, the diver descends 9.2 meters below the surface with her.
To learn more about the distance from the given link:
https://brainly.com/question/23848540
#SPJ9
→
List all the 4-digit even numbers
that can be created by
rearranging
these number tiles.
3472
Determine whether the following statement is true or false. If false, give a counterexample. If true, give an argument to support your conclusion.
If the sum of tine acute angles of a triangle is greater than 90 , then the triangle is acute.
The statement given is true.
If the sum of tine acute angles of a triangle is greater than 90 , then the triangle is acute.
What is acute angle ?The acute angle can be defined as the angle less than 90°. Or we can say that the angle which is between 0° and 90° is called as an acute angle of a triangle. In the triangle all the angles gives the sum of 180 degree, that means, at least two angles in every triangle are always acute angles.
According to statement given in the question. This statement is absolutely true. If the sum of two acute angle is greater than 90 then the third angle of that polygon i.e. triangle must be less than 90 which makes the whole triangle a acute . Since, all the angles are now acute angles that means less than 90 thus this made the triangle as a acute triangle.
To know more about acute angles and triangles, visit :
https://brainly.com/question/2761036
#SPJ4
5
y≥--x-3
2
how do i graph this?
The given inequality can be graphed by solving the inequation first.
What is an inequality?
Inequality is defined as an equation that lacks an equal sign. Inequality is a phrase that defines the relative magnitude of a statement and may be used to compare these two statements.
The given inequality can be solved as
[tex]5y\geq -x-32[/tex]
[tex]for, x=1, 5y\geq -1-32[/tex]
[tex]or, 5y\geq -33[/tex]
[tex]or, y=\frac{33}{5}[/tex]
Solve for two more values of x and then plot the inequality on the graph
To know more about inequalities, click on the link
https://brainly.com/question/27943440
#SPJ9
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $44,714, and the variable costs will be $11.50 per book. With the other method, the one-time fixed costs will total $17,174, and the variable costs will be $20 per book. For how many books produced will the costs from the two methods be the same?
The number of books published by a small publishing company is 3240.
Given that, a small publishing company is planning to publish a new book. The production costs will include one-time fixed costs and variable costs.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of books be x.
With one method, the one-time fixed costs will total $44,714, and the variable costs will be $11.50 per book.
That is, 44,714+11.50x
With the other method, the one-time fixed costs will total $17,174, and the variable costs will be $20 per book.
That is, 17,174+20x
Now, the number of books produced will the costs from the two methods be the same.
So, 44,714+11.50x=17,174+20x
⇒ 44,714-17,174=20x-11.50x
⇒ 8.5x = 27540
⇒ x=3,240
Therefore, the number of books published by a small publishing company is 3240.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ1
i need 3.234 minus 3.234 written out
Use summation notation to write each arithmetic series for the specified number of terms. Then evaluate the sum. 21+19+17+ . . . ; n=8
The summation notation for given arithmetic series is ∑21-2n , where n starts from 0.
The given series is 21+19+17+ . . .
On looking at the series we can easily notice that there is an decrease of 2 from one term to the next successive term.
So the formula will be (-2n +/- something).
Our first term is 21 and then decrease of 2, So we can say that the formula will be (21 - 2n) and n starts from 0.
So if n=0, our first term is 21
If n=1, our second term is 19
If n=2, our third term is 17
and so on.
So, we have the expression (21 - 2n).
The summation notation for given arithmetic series is ∑21-2n , where n starts from 0.
To know more about Summation Notation refer to the link:
https://brainly.com/question/23742399
#SPJ4
Determine the probability of following event, flipping a coin and not landing on heads
According to the question, to calculate the probability of an event which states that flip a coin and not landing on head. That means P = {H,T}
Therefore, the probability can be written as:
Probability of getting tail = [tex]\frac{no of favorable events}{total number of outcomes} = \frac{1}{2}[/tex]
Therefore, the probability of a coin in which head is not landing is [tex]\frac{1}{2}[/tex].
What is Probability?
The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.
To learn more about the Probability from the given link:
https://brainly.com/question/13604758
#SPJ4
Draw a line representing the rise and representing the run of the line. State the slope of the line in simplest form.
whats the slope for (-6,-3) and (0, -1.5) in fraction form?
The slope of the line segment joining the two points given (-6,-3) and (0, -1.5) expressed in fraction form as required in the task content is; m = 1/4.
What is the slope of the line segment joining the two points given (-6,-3) and (0, -1.5) as required in the task content?It follows from the task content that the slope of the line segment joining the two points given (-6,-3) and (0, -1.5) be determined.
On this note, it follows from the slope formula that slope;
m = (y2 - y1)/(x2 - x1)
Therefore, the slope of the line segment joining the two points is;
m = (-1.5 - (-3))/(0 - (-6))
m = 1.5/6
m = 1/4.
Ultimately, the slope of the line segment joining the two points given (-6,-3) and (0, -1.5) expressed in fraction form as required in the task content is; m = 1/4.
Read more on slope of a line;
https://brainly.com/question/3493733
#SPJ1
A meeting room is set up with 16 rows of seats. The number of seats in a row increases by two with each successive row. The first row has 12 seats. What is the total number of seats?
a. How can you find the number of seats in each row using an explicit formula?
The most commonly used explicit of an arithmetic sequence is given as,
an = a + (n - 1) d
Each term in the sequence can easily be solved/computed without knowing the other terms in the sequence. Now by using the given information, we can say that,
2nd row seat = 12+ 1x2
3rd row seat = 12 + 2 x2
nth seat = 12 + (n-1) x 2
16th row seat = 12 + (16–1) x2 = 42
Since the number of seats is increasing at a constant rate, we can calculate the average number of seats in each row by taking the average of the first and last rows
Average number of seats per row = (12 +42)/2= 27
So total seats = average per row x number of rows
= 27 x 16 = 432.
More similar problems are solved in the link below.
https://brainly.com/question/19261993?referrer=searchResults
#SPJ4
Suppose you pull a card from a standard 52-card deck. Find the probability of following event. The card is a face card.
3/13 is the probability of following event. The card is a face card.
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Total no.of cards = 52
Let A be the event of taking face card.
No.of face cards = 4×3 = 12
Now n(S)= 52C1 = 52, n(A) = 12C1 = 12
So P(A) = n(A)/n(S) = 12/52 = 3/13
Learn more about probability
brainly.com/question/11234923
#SPJ4
Which is an equivalent expression for (5^2 • 3^4)^3?
15^18
5^6 • 3^12
5^2 • 3^12
5^5 • 3^7
Answer:
answer 2
Step-by-step explanation:
3*4=12
Answer:
B. 5^6 x 3^12
Step-by-step explanation:
(5^2 x 3^4)^3 =
5 x 5 x 3 x 3 x 3 x 3 =
25 x 81 =
2025
2025^3 =
8,303,765,625
Option B is correct because,
5^6 x 3^12 =
5 x 5 x 5 x 5 x 5 x 5 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 =
15,625 x 531,441 =
8,303,765,625
If each student in the class drinks
1 cups of juice during the party
and there are 9 students in the
class, how many cups of juice will
be needed?
Answer:9
Step-by-step explanation:
In a bag, the ratio of purple counters to green counters was 3:4. 8 more purple counters were then added to the bag, and the ratio of purple counters to green counters became 5 : 4. How many green counters are in the bag?
Answer:16
Step-by-step explanation:
since the increase is 2 units for purple counters
8 ÷ 2 = 4
4×4=16
Can someone provide a justification?
The piecewise function that best models her weekly pay h(t) is given by:
h(t) = 12t, 0 ≤ t ≤ 40.h(t) = 480 + 18t.What is a piecewise-defined function?A piecewise-defined function is a function that has different definitions, depending on the input of the function.
For this problem, we have that:
The input is the number of hours worked.The output is the weekly pay.Her weekly pay is calculated differently according to the number of hours worked, divided into two cases as follows:
Standard hours: t ≤ 40.Overtime hours: t > 40.For up to 40 hours, she receives the standard wage of $12, hence:
h(t) = 12t, 0 ≤ t ≤ 40.
For more than 40 hours, she receives $12 x 40 = $480 plus 1.5 x $12 = $18 per hour worked, hence:
h(t) = 480 + 18t.
Hence the piecewise function that best models her weekly pay h(t) is given by the following definition, from the equations that we found prior in this problem:
h(t) = 12t, 0 ≤ t ≤ 40.h(t) = 480 + 18t.More can be learned about piecewise functions at https://brainly.com/question/27262465
#SPJ1
Evaluate the function at each specified value of the independent variable and simplify.
f(x) = x² + 1
a) f(1) =
b) f(-3) =
c) ƒ (6³) =
d) f (x - 1) =
Determine if 21 is rational or irrational and give a reason for your answer.
Find the measure of each numbered angle. (Lesson 4-2)
m ∠ 6
The measurement of angle ∠2 is 67.50°.
What exactly do we mean by an angle?In Euclidean geometry, an angle is a figure formed by two rays called the sides of the angle that share a common endpoint called the vertex of the angle.Angles formed by two rays are located in the plane in which the rays are located.When two planes intersect, angles are formed.These are referred to as dihedral angles.So,
An octagon has 8 sides.Sum of interior angles = 180° x (n-2) = 180° x (8-2) = 180° x 6 = 1,080°1,080° ÷ 8 sides = 135° interior angle.Angle 2 = 135° / 2 = 67.50°Therefore, ∠2 is 67.50°.
Know more about angles here:
brainly.com/question/25716982
#SPJ4
The correct question is given below:
Given the regular polygon, find the measure of each numbered angle.
m ∠ 2
Three integers have a mean of 8, a median of 8 and a range of 4.
Answer:
The 3 integers are 6 8 and 10
Step-by-step explanation:
Comment
Start with the median. That's the middle number of an ordered set of numbers.
a 8 b is what you have so far.
Now the range between a and b is 4 which means that a and b differ by 4.
a + 4 = b
The mean will solve this quickly. Put a + 4 for b
[(a + 8 + a + 4)]/3 = 8 Combine like terms
(2a + 12)/3 = 8 Multiply both sides by 3
3 (2a + 12)/3 = 8 *3
2a+12 = 24 Subtract 12 from both sides
2a + 12 - 12 = 24-12 Combine
2a = 12
a = 6
but we know that the range between a (which is 6 ) and b is a + 4 = 10
So b must equal 10
