Here the missing component in this study is control group.
What is a control group in an experiment?A control group is a group of participants used to compare different groups in a test or experiment. Consists of participants who did not receive an experimental treatment. Some experiments use multiple control groups to collect more information and improve the accuracy of the results. For example, many medical studies include positive, negative, and placebo control groups to better understand the effectiveness of a treatment or drug.
Given the circumstances, the energy drink company claims that its products boost memory in students. To back up its claims, the company publishes an ad claiming that eight out of 10 people (randomly selected across the country) who tried the product reported improved memory.
But they didn't compose a control group to compare the results for test.
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The complete question is as follows:
An energy drink company claims that its product increases students' memory levels. To support its claims, the company issues advertisements claiming that 8 out of 10 people (chosen randomly from across the country) who tried their product reported improved memory. The missing component in this study is a
A) control group
B) sample group
C) population
D) test group
Answer:
A. Control Group
Plato
21) Submarine A is sent to explore the ocean floor in the Atlantic Ocean. It descends to 126
feet below sea level, For the next 4 ½ hours, it descends further at a rate of 15 feet per hour
and then reaches its destination.
Submarine B is sent to explore the ocean floor in the Pacific Ocean. It begins its descent at
sea level and reaches the same elevation as Submarine A over the course of 6.5 hours. At
what rate does Submarine B descend? Show and explain your thinking.
The rate at which Submarine B descends is 29.8 feet per hour.
What is the rate?The rate refers to the average speed of an object in motion from one point to another.
The rate can be determined by dividing the distance by the time.
The rate or average speed is the quotient between distance and time.
The distance descended by Submarine A = 193.5 feet (126 + 4 ½ x 15)
The time Submarine B descends = 6.5 hours
Submarine B's rate of descent = 29.77 feet (193.5/6.5) per hour
= 29.8 feet
Thus, we can conclude that Submarine B descends at the rate of 29.8 feet every hour, whereas, Submarine A descends 15 feet per hour.
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You start at (4, 0). You move up 10 units. Where do you end?
Answer: (4, 10)
Step-by-step explanation:
The first number, 4, is the number on the x axis, the horizontal axis. The second number 0 is the number on the y axis, the vertical axis.
If you move up you would moving on the y axis, therefore the second number, 0, would change.
You moved 10 units so starting at 0 move up 10 units. 0 + 10 = 10
Now you're at (4, 10)
on a dating site, users can select 5 out of 24 adjectives to describe themselves. a match is declared between two users if they match on at least 4 adjectives. if alice and bob randomly pick adjectives, what is the probability that they form a match
The probability that Alice and Bob form a match is [tex]^{24} C_{5}[/tex] * (([tex]^{24} C_{4}[/tex])*20*19) / [tex]^{24} C_{5}[/tex] * [tex]^{24} C_{5}[/tex].
To answer the question, we use the probability by its complement.
What is Complement of An Event?The complement of an event is the subset of outcomes in the sample space that are not in the event. A complement is itself an event.
In this case, probability space is ([tex]^{24} C_{5}[/tex])^2 where there is match for 4 or 5.
For number of ways for 5 adjectives match is ([tex]^{24} C_{5}[/tex]).
For number of ways for 4 adjectives match is ([tex]^{24} C_{4}[/tex])*20*19.
We first choose 4 adjectives which are match and then there are 20*19 ways for both of them to choose an adjective each from remaining 20 adjectives.
Then, the desired probability is:
[tex]^{24} C_{5}[/tex] * (([tex]^{24} C_{4}[/tex])*20*19) / [tex]^{24} C_{5}[/tex] * [tex]^{24} C_{5}[/tex]
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40% of the students passed both exams. 80% of the students passed the second exam. how many students (in percent) who passed the second exam also passed the first exam ? next
50%. students (in percent) who passed the second exam also passed the first exam.
Let's imagine that there are 100 kids in the teacher's class. We know that 40 of them passed BOTH tests, and 80 passed the second test.
Because if they weren't, they wouldn't have passed the first test and consequently wouldn't have passed both, we can be sure that the group of students who passed BOTH tests is only made up of the 80 who passed the second test.
Thus, both tests were passed by 40 of the 80 pupils who passed the second one:
40/80 = 1/2 = 50%.
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Marcus monthly salary is $1,500 plus 10% of sales. How much could Marcus earn per month with salary and 9% sales? Please explain your answer.
pls
If Marcus monthly salary is $1,500 plus 10% of sale, then he could earn 1500 + 0.09x per month with salary and 9% sales
Monthly salary of Marcus = $1500
The percentage incentives for sales = 10%
If the percentage of incentive for sales is 9 %
Consider the amount of sales is $x
Therefore the monthly salary of Marcus = Monthly salary of Marcus + (The amount of sales × 9/100)
Substitute the values in the equation
The monthly salary of Marcus = 1500 + (x×9/100)
Divide the numbers in the equation
= 1500 + (x × 0.09)
Multiply the numbers the numbers
= 1500 + 0.09x
Therefore, the monthly salary of Marcus will be 1500 + 0.09x
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a landscaper is designing a flower garden in the shape of a trapezoid he wants the shorter base to be 2 yards greater than the height of the trapezoid h and the longer base to be
The length of the bases of the trapezoid shape yard will be 18 yards and 22 yards.
What is a Trapezoid?A quadrilateral with at least one set of parallel sides is called a trapezoid in American and Canadian English.
In British and other varieties of English, it is termed a trapezium.
In Euclidean geometry, a trapezoid is a convex quadrilateral by definition.
The parallel sides are called the basis of the trapezoid.
So, we have:
The height should be 3 yards higher than the shorter base.
b₁=h+3
The height should be 3 yards higher than the shorter base.
b₂=h+7
Formula for Area of trapezoid = 1/2(b₁+b₂)h
Now, using the formula, calculate as follows:
150=1/2(h+3+h+7)h
150=(2h+10)h/2
150=2h²+10h/2
150=2h²+5h
h²+5h-150=0
h²+15h-10h-150=0
h(h+15)-10(h+15)=0
(h-10)(h+15)=0
h=10 or h-15
h should be positive:
b₁=h+3=15+3=18
b₂=h+7=15+7=22
Therefore, the length of the bases of the trapezoid shape yard will be 18 yards and 22 yards.
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Complete question:
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height, and the longer base to be 7 yards greater than the height. the total area of the flower garden is 150 square yards. what will the length of each base be
guse lagrange multipliers to find the maximum or minimum values of the function subject to the given constraint. (if an answer does not exist, enter dne.) f(x, y)
Therefore the maximum value of function f(x,y,z)=[tex]x^{2} y^{2} z^{2}[/tex] =1/27
And the minimum value is 0
What is function?function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable) (the dependent variable) (the dependent variable). Mathematics uses functions frequently, and functions are essential for specifying physical relationships in the sciences.
Here,
The function is given as:
f(x,y,z)=[tex]x^{2} y^{2} z^{2}[/tex]
[tex]x^{2} +y^{2}+ z^{2}[/tex]=1
=>[tex]x^{2} +y^{2}+ z^{2}[/tex]-1=0
Using Lagrange multiplies, we have:
L(x,y,z,λ)=f(x,y,z) +λ(0)
Substitute f(x,y,z)=[tex]x^{2} y^{2} z^{2}[/tex] and [tex]x^{2} +y^{2}+ z^{2}[/tex]-1=0
Differentiate
L(x)=[tex]2xy^{2} z^{2}[/tex]+2λx
L(y)=[tex]2yx^{2} z^{2}[/tex]+2λy
L(z)=[tex]2zx^{2} y^{2}[/tex]+2λz
L(λ)=[tex]x^{2} +y^{2}+ z^{2}[/tex]-1
Equating to 0
[tex]2xy^{2} z^{2}[/tex]+2λx =0
[tex]2yx^{2} z^{2}[/tex]+2λy = 0
[tex]2zx^{2} y^{2}[/tex]+2λz = 0
[tex]x^{2} +y^{2}+ z^{2}[/tex]-1 = 0
Factorize the above expressions
[tex]2xy^{2} z^{2}[/tex]+2λx =0
2x([tex]y^{2} z^{2}[/tex]+λ)=0
2x=0 and ([tex]y^{2} z^{2}[/tex]+λ)=0
x=0 and [tex]y^{2} z^{2}[/tex]= -λ
[tex]2yx^{2} z^{2}[/tex]+2λy = 0
2y([tex]x^{2} z^{2}[/tex]+λ)=0
2y=0 and ([tex]x^{2} z^{2}[/tex]+λ)=0
y=0 and [tex]x^{2} z^{2}[/tex]= -λ
[tex]2zx^{2} y^{2}[/tex]+2λz = 0
2z([tex]y^{2} x^{2}[/tex]+λ)=0
2z=0 and ([tex]x^{2} y^{2}[/tex]+λ)=0
z=0 and [tex]x^{2} y^{2}[/tex]= -λ
So we have ,
x=0 and [tex]y^{2} z^{2}[/tex]= -λ
y=0 and [tex]x^{2} z^{2}[/tex]= -λ
z=0 and [tex]x^{2} y^{2}[/tex]= -λ
The above expression becomes
x=y=z=0
This means that,
[tex]x^{2} +y^{2}+ z^{2}[/tex]=1
[tex]x^{2} +x^{2}+ x^{2} =1 \\3x^{2 } =1[/tex]
x= ±1/[tex]\sqrt{3}[/tex]
So,
y= ±1/[tex]\sqrt{3}[/tex]
z= ±1/[tex]\sqrt{3}[/tex]
The critic points are
x=y=z=±1/[tex]\sqrt{3}[/tex]
x=y=z=0
Therefore the maximum value of function f(x,y,z)=[tex]x^{2} y^{2} z^{2}[/tex] =1/27
And the minimum value is 0
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a certain radionuclide has a half-life of 19 hours. how many hours does it take for 85 % of the sample of this nuclide to decay?
When a radionuclide has a half-life of 19 hours, it will take approximately 32.3 hours for the sample of this nuclide to decay to about 85 percentage of its proportion.
The computation of the time of proportional decay can be calculated using the given values and putting them into the generalized formula.
Number of Hours Taken = Total Life x Required Decay Proportion
Number of Hours Taken = 19×2×85%
Number of Hours Taken = 38 × 0.85
Number of Hours Taken = 32.3
Therefore, it will take 32.3 hours for the nuclide to decay to about 85 percentage in its proportion.
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find the absolute maximum and absolute minimum (if any) of the given function on the specified interval. f (x)
The answer of the function found to be x = −4 and x = 2, with M = 38.
We must consider the function,
f (x) = x³ + 6x² + 6
Over the interval
-5 [tex]\leq[/tex] x [tex]\leq[/tex] 2
To obtain the extrema we start from the function's derivative.
f' (x) = 3x² + 12x
Equating it to 0,
f' (x) = 0 = 3x(x +4) = 0
We arrive at two solutions,
x1 = 0, x2 = -4 both inside the interval.
Evaluating the function at the stationary points,
f (x1) = 6
f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38
These values must be compared to that of the function at the interval frontiers,
f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31
f (2) = 2³ + 6 . 2² + 6 = 38
Comparing the results we can conclude that the function attains its absolute minimum at,
x = 0, m = 6
Meanwhile, the absolute maximum is attained at the points,
x = −4 and x = 2, with M = 38.
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Which expressions are equivalent to 4b
?
The expressions that are equivalent to 4b can be 2b + 2b and 5b - b.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations
In this case, it should be noted that examples such as:
5b - b = 4b
3b + b = 4b
2b + 2b = 4b
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1000 liters equal 1 what
kiloliter
One thousand liters is called a kiloliter. A kiloliter is equal to 264.172 gallons. One liter is equal to 0.264172, so if you want to find how many gallons there are in 1 kiloliter, just multiply 0.264172 by 1000
Answer:
1000 liters
Step-by-step explanation:
Find the measure of the missing angle?
The values of the missing angles in the parallelograms are as follows;
108°95°139°75°19°30°29°42°How can a parallelogram be defined?A parallelogram can be defined as a quadrilateral that has a pair of opposite parallel sides that have the same lengths.
Let x represent the missing angle in the figures in the question;
1) The adjacent angles of a parallelogram are supplementary
The angle x which is the adjacent angle to the angle 72° is a supplementary angle to the angle 72° in a parallelogram KLMN, therefore, we get;
x + 72 = 180, definition of supplementary angles
x = 180 - 72 = 108, by subtraction property
The missing angle is 108°2) The missing angle x is the adjacent angle to the 95° angle in the parallelogram ABCD
Therefore; x + 95 = 180
x = 180 - 95 = 85
The missing angle is 95°3) The missing angle is the opposite angle to the 139° angle
Opposite angles of a parallelogram are congruent
Quadrilateral TUVW is a parallelogram, therefore; x = ∠W = ∠T = 139°
The missing angle is 139°4) The missing angle is an adjacent angle to the 105° in the parallelogram KLMN
Therefore, x + 105° = 180°
x = 180° - 105° = 75°
The missing angle is 75°5) The missing angle, x, is the alternate interior angle to the 19° angle in the diagonal of the parallelogram BCDE
Alternate interior angles between parallel sides CD and BE are congruent.
Therefore, the missing angle is congruent to the 19° angle
The missing angle x = 19° (definition of congruency)6) Adding the missing angle and the 50° together, we get;
x + 50° = m∠E
∠E is the adjacent angle to the 95° angle, therefore;
∠E + 95° = 180°
∠E = 180° - 95° = 85°
∠E = 85°
Therefore; ? + 50° = 85°
x = 85° - 55° = 30°
The missing angle, x = 30°7) The missing angle and the 29° angle are alternate interior angles
Alternate interior angles formed between parallel lines and their common transversal are congruent, therefore;
The missing angle is 29°8) The sum of the missing angle and the 28° angle is the angle ∠F
∠F and the 110° angle are adjacent angles in the parallelogram DEFG, therefore;
∠F + 110° = 180°
∠F = 180° - 110° = 70°
∠F = 70°
x + 28° = 70°
x = 70° - 28° = 42°
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Find the missing side of the triangle
Round your answer to the nearest tenth
The length of missing side of triangle is 11cm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is a right angled triangle.
In the triangle hypotenuse is 12cm, opposite side is 4.8cm.
We need to find the adjacent side which is represented by x.
By pythagoras theorem we find the missing side
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
12²=4.8²+x²
144=23.04+x²
subtract 23.04 on both sides
120.96=x²
Take square root on both sides
x=10.99
x=11
Hence, the length of missing side of triangle is 11cm.
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Which of the following congruence does not occur * A SSS B SAS C SSA D RHS?
Answer:
Answer Option C: SSA
PLEASE HELP ASAP
which construction is being described
1. a line through point B parallel to AC
2. The bisector of BAC
3. An angle congruent to BAC, and the two resulting angles, BAF and FAC, are congruent to each other.
4. A ray perpendicular to AB
Answer:
The bisector of BAC
Step-by-step explanation:
Point D and point E are equidistant from point A. Therefore, when two arcs are constructed equidistant from these points, intersecting eachother, a line drawn though this intersection and point A bisects angle BAC
Help me please I don’t understand
The age of Michelle is 30 years old (option A).
What is Michelle's age?The mathematical operation that would be used to determine the required value is multiplication. Multiplication is the process of determining the product of two or more numbers. The sign that represents multiplication is ×.
The first step is to determine Fiona's age.
Fiona's age = Madeline's age x 2
Fiona's age = 5 x 2 = 10
The second step is to determine Michelle's age.
Michelle's age = Fiona's age x 3
Michelle's age = 10 x 3
Michelle's age = 30
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the sum of the age of father and son at present iz 45 year.if both live on until the son age become equal to the father present age the sum of their agr then become 95 years .find the present ages.
Answer:
10 yrs old and 35 yrs old
Step-by-step explanation:
I figured it out by trial and error but here's the thinking process.
10 + 35= 45
Son becomes dad's age so 35-10=25, so plus 25 year to each age.
10+25=35
35+25= 60
35+60=95
I hope that makes enough sense!
the function that has the least minimum value is function . the function that has the greatest minimum value is function .
Function h is the one with the lowest minimum value.
Explain about the function?An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for creating physical links in the sciences.
A function is more precisely defined as a set of ordered pairs (x,y) with the limitation that there may only be one ordered pair with the same value of x given a set of inputs (domain) X and a set of potential outputs (codomain).
A graph is considered to be a function if any vertical line formed can cross it at most one point. A vertical line cannot cross the graph at more than two points in any location.
Considering the query
f(x) = x² - 2x - 6
given the graph
at its lowest value (1,-7)
h(x) = 2(x-1)²
h(x) = 2 (x² + 1 -2x )
h(x) = 2x² - 4x + 2
Creating the graph
We may view the
Lowest value at (1,0)
The complete question is,
Consider continuous functions f, g, and k. Then complete the statements.
The function that has the least minimum value is function _____. The function that has the greatest minimum value is function _____.
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for a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 115 min and 135 min? (round your answer to four decimal places.)
The required probability that the sample mean courtship time is between 115 min and 135 min is 0.5269.
We know that probability is defined as the proportion of number of favorable outcomes to the total number of outcomes.
Probability implies plausibility. A piece of math deals with the occasion of a sporadic event. The worth is communicated from zero to one. Likelihood has been acquainted in Maths with foresee how likely occasions are to occur.
The significance of likelihood is essentially the degree to which something is probably going to occur. This is the fundamental likelihood hypothesis, which is likewise utilized in the likelihood dispersion, where you will get familiar with the chance of results for an irregular examination. To track down the likelihood of a solitary occasion to happen, first, we ought to know the complete number of potential results.
We have μ=115min
n=50
P(x₁<X<x₂)=P(z₂< (x₂-μ) /S.D) -P(z₁<(x₂-μ)/S.D)
S.D=√(σ²/ n)
=>S.D=√(115)²/50
=>S.D = √(13225)/50
=>S.D = √264.5
=>S.D = 16.26
P(115<X<135)=P(z₂< (135-115)/16.26)-P(z₁ <(100-115) / 16.26)
=>P((115<X<135)=P(z₂<20/16.26)-P(z₁< -15/16.26)
=>P(115<X<135)=P(z₂<1.23) - P(z₁<-0.922)
From the probability distribution table
P(z₂<1.23)=0.6255
P(z₁<-0.922)=0.0986
P(115<X<135)=0.6255-0.0986
=>P(115<X<135)=0.5269
Hence, required probability is 0.5269
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Given the equation 8x = 4y + 16, generate a plan to rewrite it in slope-intercept form. Which variable do you solve for?
Answer: Convert the equation to slope-intercept form by solving for the variable y. Use the properties of equality to subtract 16 from both sides, and then divide both sides by 4.
This is for future people who don't want to watch adds or have hit their daily limit, have a nice day!
The slope-intercept form of the equation 8x = 4y + 16 will be y = 2x -4.
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
The equation given is 8x = 4y + 16.
We must solve for y as follows;
8x = 4y + 16
4y = 8x -16
By dividing through by 4; we have;
y = 2x -16
Hence the equation for both lines will be y = x +3 and y = x+13
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what is the value of t*, the critical value of the t distribution for a sample of size 14, such that the probability of being greater than t* or less than -t* is 1%?
Therefore ,we would reject the null hypothesis H0: = 3 in favor of the alternative hypothesis HA: 3. The graph's rejection zone is highlighted in red for visual appeal.
What is probability ?The field of mathematics known as probability studies numerical descriptions of the likelihood of an event occurring or of a statement being true. A number between 0 and 1 is the probabilities of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Here,
Two-Tailed
For the two-tailed test H0, the following two values are critical: = 3 against HA: 3 — one for each tail, with the left tail being denoted by -t(/2, n - 1) and the right tail being denoted by t(/2, n - 1). The t-values t(/2, n - 1) and -t(/2, n - 1) are those where the probability to the left of them is /2 and the likelihood to the right is /2, respectively. It is possible to demonstrate the crucial values -t0.025,14 is -2.1448 and t0.025,14 is 2.1448, respectively, using statistical software or a t-table. This means that if the test statistic t* is less than -2.1448 or more than 2.1448, we would reject the null hypothesis H0: = 3 in favor of the alternative hypothesis HA: 3. The graph's rejection zone is highlighted in red for visual appeal.
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a food truck did a daily survey of customers to find their food preferences. the data is partially entered in the frequency table. complete the table to analyze the data and answer the questions: likes hamburgers does not like hamburgers total likes burritos 49 92 does not like burritos 75 38 total 81 205 part a: what percentage of the survey respondents liked neither hamburgers nor burritos? show all work. (3 points) part b: what is the marginal relative frequency of all customers who like hamburgers? show all work. (3 points) part c: which category has the lowest joint relative frequency? show all work (4 points)
a. Don't like both burritos and hamburgers.18.54% of participants.
b. Marginal relative frequency of 0.6049.
c. The correlation between enjoying hamburgers and disliking burritos is the strongest of the two variables.
Describe the term percentage?When an is multiplied by 100% then divided by b, the result is the proportion of an amount an over an overall amount b, as in:
P = a/b x 100%
Option a:
38 out of 205 persons like neither; consequently:
P = 38/205 x 100%
P = 18.54%
Burgers and burritos are disliked by 18.54% of poll participants.
Option b:
The proportion expressed as a decimal, or a divided by b, is the relative frequency.
205 - 81 = 124 of a 205 participants enjoy hamburgers, so:
124/205 = 0.0649
All consumers who enjoy hamburgers have a marginal relative frequency of 0.6049.
Option c:
Without taking into account the totals, the table is:
49 - 43
75 - 38
Because of the greater total, the two criteria that are most strongly correlated with each other are preferring hamburgers but not liking burritos.
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Question 1 (Multiple Choice Worth 2 points)
(Evaluating Algebraic Expressions LC)
If w = 24, what is the value of 2w - 18?
Answer:
30
Step-by-step explanation:
2 multiplied by 24 = 48
48 - 18 = 30
Principal = 6,000, rate of interest = 10% p.a., time = 3 years
please solve
Answer:
$7800
Step-by-step explanation:
1 year = 10%
3 years = 30%
30% = 0.3
6000 times 0.3 = $1800
6000 + 1800 = $7800
So, they will pay $7800
There are two option for tickets & admission to the carnival. Option #1 requires you to pay a $5 admission fee plus $0.30 per ride ticket. Option #2 requires you to pay a $3 admission fee plus $0.80 per ride ticket. Garrett chose option #1 and Meagan chose option #2. If they wound up paying the same amount of money, how many tickets did they each purchase?
The number of tickets they purchased is 4.
How many tickets did they purchase?The expression that would b used to represent the total cost at the carnival is a linear expression. A linear expression is an expression that has a single variable that is raised to the power of one.
The form of the linear expressions that can be used to represent the total cost at the carnival is:
Total cost = admission fee + (price per ride x number of rides)
Total cost in option 1 = $5 + 0.30r
Total cost in option 2 = $3 + $0.80r
Where r = number of rides
When they pay the same amount of money, the linear functions would be equal:
$5 + 0.30r = $3 + $0.80r
$5 - $3 = $0.80r - 0.30r
$2 = $0.50r
r = 2 / 0.5
r = 4
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How do you simplify 24 ⋅ 2^ − 2 ?
Answer:
Step-by-step explanation:
We can use one of the properties of exponents to change the −2 into +2 by sending the base to the denominator as:24⋅2−2=24⋅12+2=244=6
Answer:
We can use one of the properties of exponents to change the −2 into +2 by sending the base to the denominator as:
24⋅2−2= 24⋅1/2 OVER +2= 24/4= 6
Step-by-step explanation:
2. Tino charges $2 for the first mile, plus 50 cents for
each additional mile. Is this a proportional
relationship?
The given situation for the price according to the distance is not proportional.
Describe the term proportional relationship?Relationships between 2 factors that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, each variable is consistently equal to the other's constant value.Let the total distance covered by Tino is 'x'.
Let the total price be 'y'.
Then,
y = fixed price + additional price
y = $2 + $0.5x
For x = 1; y = $2.5 ---> x/y = 1/2.5
for x = 1; y = $3 ---> x/y = 2/3
for x = 3; y = $3.5 -----> x/y = 3/3.5
In all situations, ratio x/y is not constant.
Thus, the given situation for the price according to the distance is not proportional.
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Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55 and costs an additional $0.50 per mile driven. The second plan has no initial fee but costs $0.60 per mile driven. How many miles would Lucy need to drive for the two plans to cost the same?
The two plans will cost the same when Lucy has driven 550miles. ($55 + $0.50 x 550)= $330
(0.6*550)=$330
The difference between both the trip rate is .10$
and the difference between initial fee is 55$
so after 1 mile the difference is .10$
the 55$can be earn after
55*10=550 mile.
What are typical speeds and an illustration?Divide the overall distance traveled by the time period to find the average speed. An someone traveling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, would be driving 20 miles north and then 20 miles south to arrive at the same location (60 mph)
Why is the average speed determined?The overall distance traveled by an object over the total amount of time is the thing's average speed. The average speed v of an object during a motion that covers a total distance of d and a total duration of t can be estimated using the formula v = d t.
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Caroline babysit for two families-Nelsons and the smiths. use the information below to compare her earnings
Answer:
6.25h
Step-by-step explanation:
Delux Coffee is a mixture of Coffee A and Coffee B. The ratio of mixture is coffee A: coffee B= 3:2. What is the quantity of Coffee B in a bag of 25kg of delux coffee?
The quantity of coffee B in a 25 kg delux bag is 10kg
What is a ratio?Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division. Here the dividend is called the 'antecedent' and the divisor is called the 'consequent'.
total division of the 25kg bag is 3 + 2 = 5
so that each division would weigh 25/5 = 5kg
coffee B has 2 division so that its total quantity is 5 x 2 = 10kg
In conclusion the total quantity of coffee B is 10kg
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