A table of equivalent ratios and plot the points on the coordinate axes provided is 4 customers per minute.
What is equivalent ratios ?
If two or more ratios have the same value when reduced to their most basic form, they are said to be equal. For instance, the ratios 1:2, 2:4, and 4:8 are identical. When reduced to their most basic form, all three ratios have the same value, or 1:2. Equivalent ratios are two ratios with the same value. By multiplying or dividing the two amounts by the same number, you may get the corresponding ratio. Finding comparable fractions follows the same procedure.
Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation.
12/3 is 12 customers and 3 is the minutes. We want to know the rate at 1 minute so you divided 12 by 3 and 3 by 3, which gives you 4/1 or 4 customers per minute.
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5. A student surveyed 100 adults who took either vitamin C, zinc, or echinacea
supplements to prevent getting a cold. The adults were asked if they had a cold or no
cold in the last 30 days. The results are shown in the table.
vitamin C
zinc
no cold cold
41
echinacea
total
12
21
74
15
5
6
total
26
56
17
27
100
a. What proportion of adults in the survey took echinacea?
b. What proportion of adults who took vitamin C reported having a cold in the last
30 days?
c. What proportion of adults who reported having a cold took zinc?
The proportions for this problem are given as follows:
a) Took echinacea: 0.27.
b) Having a cold in the last 30 days, of those who took Vitamin C: 0.2679.
c) Took zinc, of those having a cold: 0.1923.
How to calculate the proportions?The proportions are calculated as the division of the number of desired outcomes by the number of total outcomes.
The survey is composed by 100 adults, and of those, 27 took echinacea, hence the proportion is of:
27/100 = 0.27.
56 adults took vitamin C, and of those, 15 reported a cold in the last 30 days, hence the proportion is of:
15/56 = 0.2679.
26 students had a cold in the last 30 days, and of those, 5 took zinc, hence the proportion is calculated as follows:
5/26 = 0.1923.
Missing InformationThe table is given by the image shown at the end of the answer.
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Given: A (2, 1), B(0,5), C(-1,2), AB and BC, mab = -2, MBC = 3.
Find slope of PBC, perpendicular to BC________
Answer: i think its A
Step-by-step explanation: hope this helped
At what y points on the curve xy = 25 is the tangent line parallel to 5x + y = 0?
The point at which =the curve xy = 25 is the tangent line parallel to 5x + y = 0 is y = ± 5√5 so, option A is correct.
What is line?
A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction. While Euclid's initial definition is now regarded as a line segment, such an extension in both directions is now thought of as a line.
Given:
the curve xy = 25 and the equation of the line is 5x + y = 0,
The equation of line parallel to line 5x + y = 0 will be,
y = mx + c
y = -5x + c (y = -5x)
The line will be in the curve as it is tangent, so,
xy = 25 and y = -5x + c line have a solution,
Solve the above equation as shown below,
y = ± 5√5
Thus, the point y = ± 5√5 the line is tangent to the curve.
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[tex]5 x^2-2x-6=-x^2+6x[/tex]
i just need help with the steps please <3
Answer:
x = -1
Step-by-step explanation:
To solve this equation, you can use the process of polynomial algebra.
First, you can rearrange the terms on the left side of the equation so that all the terms with an x^2 coefficient are on one side and all the other terms are on the other side. You can do this by adding x^2 to both sides of the equation:
5x^2 - 2x - 6 + x^2 = -x^2 + 6x + x^2
This gives you:
6x^2 - 2x - 6 = 6x
Now, you can rearrange the terms on the right side of the equation in the same way:
6x^2 - 2x - 6 = 6x^2 - 6x
To solve for x, you can now use the process of polynomial algebra to combine like terms on each side of the equation. This gives you:
6x^2 - 2x - 6 = 6x^2 - 6x
Combining like terms on the left side of the equation gives you:
6x^2 - 6x - 6 = 6x^2 - 6x
Combining like terms on the right side of the equation gives you:
6x^2 - 6x - 6 = 6x^2 - 6x
Now, you can subtract 6x^2 - 6x from both sides of the equation to obtain:
-6x - 6 = 0
Dividing both sides of the equation by -6 gives you:
x + 1 = 0
Finally, you can solve for x by subtracting 1 from both sides of the equation, which gives you:
x = -1
Therefore, the solution to the original equation is x = -1.
please help meee!!!!
The value of x and z are x° = 6.71°, z° = 75.26° simulataneously,
What is the linear pair angles?
Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.
We have,
Angles:
6x° + 35°
z°
8x° + 51°
To find the values of x and z
from the given figure
Linear pair angles:
6x° + 35° + 8x° + 51° = 180
14x° + 86° = 180
14x° = 180° - 86°
14x° = 94°
x° = 94°/14°
x° = 6.71°
Vertically opposites angles are equal
6x° + 35° = z°
z° = 6( 6.71°)° + 35
z° = 40.26 + 35
z° = 75.26°
Hence, the value of x and z are x° = 6.71°, z° = 75.26° simulataneously.
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When Landon overdrafts from his checking account, his bank moves $50 from his savings account into his bank account and charges him $5 (from his checking account) as a penalty each time it happens. If Landon had $75.32 in his checking account and he wrote a check for $113.85, how much money would he have in his checking account after the check is cashed and the bank handles his overdraft?
Answer:
Landon would have -$43.53 in his checking account after the check is cashed and the bank handles his overdraft.
Step-by-step explanation:
let g be a polynomial function of x where g(x) = 2x^3 + 5x^2 - 28x - 15 Given (x - 3) is a factor of g, what is the reminder of g(x) + (x - 3)?
The remainder of polynomial g(x) divides (x - 3) that is g(x) / (x - 3) is 0.
What is polynomial?
A polynomial is a mathematical expression made up of variables, constants, and exponents that are combined using addition, subtraction, multiplication, and division operations.
Given: g(x) = 2x^3 + 5x^2 - 28x - 15
(x - 3) is a factor of g(x).
We have to find the remainder of g(x) / (x - 3).
Consider,
2x^2 + 11x + 5
[tex]\sqrt[(x-3)]{2x^3+5x^2 -28x -15}[/tex]
- 2x^3 -6x^2
____________________________
11x^2 - 28x
- 11x^2 - 33x
____________________________
5x - 15
- 5x - 15
_______________________________
0
Hence, the remainder of polynomial g(x) divides (x - 3) that is
g(x) / (x - 3) is 0.
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Harry owns a rare baseball card that is valued at $13.00. If he originally purchased the card for $5.00, by what percentage has its value increased?
The value of baseball card has increased by 160(%) percentage.
What is the percentage?
A number or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word per cent means. The letter "%" stands for it.
Increase = New Number - Original Number
Then: we divide the increased number by the original number and multiply by 100.
Therefore, % increase = (Increase ÷ Original Number)× 100.
Given, the new price of a baseball card = $13
The original price of a baseball card = $5
Then from the above definition,
Increase = 13-5 = 8
% increase = (8/5)*100 = 160%
Hence, its value has increased by 160 percentage.
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Which matrix can be multiplied to the left of a vector matrix to produce another vector matrix?
The matrix that can be multiplied to the left of a vector matrix to produce another vector matrix given as follows:
A. [2;5].
What is a vector matrix?A matrix is also called a vector matrix when it has either only one row or only one column.
In multiplication of matrices, the rows of the left matrix are multiplied by the columns of the right matrix, and the dimensions are given as follows:
the number of rows of the left matrix.the number columns of the right matrix.The matrix in this problem that we are going to multiply is the right matrix, meaning that we want a matrix with one column, and more than one row, which is given by option A.
(a matrix with only one element, as is the case for option D, is not considered a vector matrix).
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Please help! I will give brainlist
Answer:
3. 32, 28, 30
4. 38, 142
Step-by-step explanation:
3. (x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90
3x = 87
x = 29
angle 1: x + 3 = 29 + 3 = 32
angle 2: x - 1 = 29 - 1 = 28
angle 3: x + 1 = 29 + 1 = 30
4. x + (x + 104) = 180
2x + 104 = 180
2x = 76
x = 38
angle 1: x = 38
angle 2: x + 104 = 38 + 104 = 142
For a sample size of 85 and a population parameter of 0.2, what is the standard error of the sampling distribution?
Answer:
0.043
Step-by-step explanation:
I hope this helps you! Let me know if you have any questions! :)
Triana is on a 120-mile four-day bike ride. On the first day she travels 24 miles. She would like to travel equal amounts over the remaining three days. How far will she travel on each of those three days? Write and solve an equation of the form px+q=r. Then write a sentence to explain your answer.
Explanation:
x = amount she travels on each of those three remaining days
3x = total amount traveled over those three remaining days
3x+24 = total amount traveled over the four days
3x+24 = 120 miles total
This equation is in the form px+q = r where:
p = 3q = 24r = 120Let's solve for x. We follow PEMDAS in reverse to undo what's happening to x, so we can isolate it.
3x+24 = 120
3x+24-24 = 120-24 .... subtract 24 from both sides
3x = 96
3x/3 = 96/3 .... divide both sides by 3
x = 32
Triana must travel 32 miles per day for those remaining three days.
Doing so means she travels 3x = 3*32 = 96 miles over those three remaining days. Then add on those 24 miles traveled on the first day to get 96+24 = 120 miles total. This helps confirm the answer.
Another way to confirm the answer is to plug x = 32 into 3x+24 = 120. After simplifying both sides, you should get 120 = 120 which is a true statement.
Evaluate. Remember Order of
Operations! (PEMDAS)
4-(7+2)÷3= [?]
Answer: 1
Yessssssssssssssss
find the value of y² when y=-9
Answer:
81
Step-by-step explanation:
y = -9
y² = (-9)² = 81
NEED HELP ASAP!!! please help!!!
Answer:
x=21
Step-by-step explanation:
rs= 6(x-9)
rt=2(2x-6)
rs=rt
6(x-9)=2(2x-6)
6x-54=4x-12
2x=42
x=21
There is a line whose y-intercept is 10 and whose slope is 0. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in
simplest form.
Answer:
Below
Step-by-step explanation:
A line with slope = 0 is a horizontal line
for y = mx + b form this would be
y = (0)* x + 10
y = 10
There are 16 apples in a box
The mean weight of these 16 apples is 108 grams
There are 19 apples in a bag
The mean weight of the apples in the box and in the bag combined is 102 grams
Work out the mean weight of the 19 apples in the bag
To find the mean weight of the 19 apples in the bag, we can set up the following equation:
(mean weight of apples in bag) * (number of apples in bag) + (mean weight of apples in box) * (number of apples in box) = (combined mean weight) * (total number of apples)
Substituting in the given values, we get:
(mean weight of apples in bag) * 19 + 108 * 16 = 102 * 35
Solving for the mean weight of apples in the bag, we get:
(mean weight of apples in bag) = (102 * 35 - 108 * 16) / 19
= (3570 - 1728) / 19
= 1842 / 19
= 96.84 grams
Therefore, the mean weight of the 19 apples in the bag is approximately 96.84 grams.
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8 The graph shows four ordered pairs that represent ratios. Which
ordered pair represents a ratio that is not equivalent to the others?
A (2,12)
B (3,18)
C (5,24)
D (6,36)
C (5,24) ordered pair represents the ratio that is not equivalent to the others.
What is a ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Consider first pair A, the ratio is given by
2/12 = 1/6
Consider next pair B, the ratio is given by
3/18 = 1/6
Consider next pair C, the ratio is given by
5/24 is not equat to 1/6
Consider next pair D, the ratio is given by
6/36 = 1/6
Hence, the ordered pair represents a ratio that is not equivalent to the others is C (5,24).
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A speed skater goes around a turn with a 25 m radius. The skater has a velocity of 15 m/s and experiences a centripetal force of 720 N. What is the mass of the skater?
Answer:
80 kg
Step-by-step explanation:
To find the mass of the skater, you can use the formula for centripetal force:
F_centripetal = m * v^2 / r
Where F is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.
Plugging in the values you know, you get:
720 N = m * (15 m/s)^2 / 25 m
Solving for m, you find that the mass of the skater is:
m = 720 N * 25 m / (15 m/s)^2
= 720 N * 25 m / 225 m^2/s^2
= 80 kg
So the mass of the skater is approximately 80 kilograms.
In the figure below, m ABD=100, and m<1 is four times m<2. Find m<2.
The unknown angle in the intersecting lines is as follows:
m∠2 = 20 degrees
How to find the angles when line intersect?In the figure m∠ABD is 100 degrees and m∠1 is four times m∠2. Therefore, let's find the angle m∠2.
From the diagram, the sum of angle ABC and angle CBD is equals to angle ABD.
Therefore,
m∠ABD = 100 degrees
m∠ABC = m∠2
m∠CBD = m∠1
Therefore,
let
x = m∠2
m∠1 = 4x
Hence,
100 = 4x + x
5x = 100
divide both sides by 5
x = 100 / 5
x = 20 degrees
Therefore,
m∠2 = 20 degrees
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What is the solution to the system of equations graphed below ?
Answer: (6, -1)
Step-by-step explanation:
<3
?
What is an equation of the line that passes through the point (8, -7) and is parallel
to the line x + 2y = 18?
Parallel/Perpendicular Through Point
The equation of the line that passes through point (8, -7) and parallel to the line x + 2y = 18 is
y = -x/2 - 3How to find the equation of the lineA linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
definition of variable
y = output variable
m = slope
x = input variable
c = y intercept
x + 2y = 18
rewriting gives : y = -x/2 + 9
when the line is parallel the slope is equal hence the slope of the line is -1/2.
using the point slope formula for point (8, -7) which is
(y - y') = m(x - x')
(y + 7) = -1/2(x - 8)
y + 7 = -x/2 + 4
y = -x/2 - 3
the equation of the line is y = -x/2 - 3
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Select the correct answer from each drop-down menu.
In a particular year, the population of Dallas, TX, was approximately 1 × 10^6 people. If the population of Los Angeles, CA, was approximately three times that of Dallas, there were about ______ x _______ ^6 people living in Los Angeles that year.
The population of Pittsburgh, PA, was approximately 3 × 10^5 people during the same year, which was about ______times that of Dallas.
Answer:
Step-by-step explanation:
Dallas = 1 x 10^6
Los Angeles = 3 times Dallas = 3 [ 1 x 10^6] = 3 x 10^6
Pittsburgh / Dallas = [ 3 x 10^5 ] / [ 1 x 10^6] = 3 / 10 that of Dallas
what is the square root of 1476
Help meee !!??? Please
The value of [tex]15\sqrt{1513}[/tex] = 585
According to the given information
What is Square Root ?A number can be obtained by multiplying the square root of that integer by itself. The word "square root" is represented by the symbol [tex]\sqrt{}[/tex]square root of, end square root. The opposite of squaring an integer is finding its square root.
We need to find the value of [tex]15\sqrt{1513}[/tex]
Firstly
The value of square root of 1513
The amount that becomes 1513 when it is multiplied by itself twice is its square root. In other words, this number is equal to 1513 when multiplied by 2.
So
Value of square root of 1513 = 38.8973006776
Hence
Value of [tex]15\sqrt{1513}[/tex] = 15 × 38.8973006776
= 15 × 39
= 585
The value of [tex]15\sqrt{1513}[/tex] = 585
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suppose you build a model of a concert hall using a scale factor of 18. how will the surface area of the actual concert hall compare to the surface area of the scale model? what about the volume?
The Surface area of the actual concert hall is 324 times as great as the surface area of scale model A
Given that,
Imagine creating a music hall model with a scale factor of 18.
To find : How will the scale model's surface area and the real music hall's surface area compare? Considering the volume
A new concert hall using a scale factor is 18.
then,
Scale = Dimension on module / Actual dimension
Area =k²
Where
K = Scale factor
Surface area of actual concert hall = (18)²
= 324
Thus, the Surface area of the actual concert hall is 324 times as great as the surface area of scale model A.
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what is equilvalent to the square root of -2.
Answer:
1.4142135623730951i
Step-by-step explanation:
Did it help pls make me the brainliest and you can round your answer to how you want it and if not that's you answer thank you.
arianna collected data from a random sample of 600 people in her city asking whether or not they bike to work. based on the results, she reports that 44% of the people in her state bike to work. why is this statistic misleading?
Sample is biased. Based on her findings, Arianna revealed the percentage in her state after polling 600 residents of her city. Thus, the sample fails to accurately reflect the population. Option (4) is correct.
When some members of a population are systematically more likely to be chosen in a sample than others, this is known as sampling bias. What makes sampling bias significant? Sampling bias poses a risk to external validity since it restricts the applicability of your findings to a larger population. When some population members have a higher or lower sampling probability than others, the sample is biased.
This includes choosing or sampling people according to their hobbies, gender, or age. Therefore, a fair or impartial sample must be representative of the entire population under investigation. When a research study design fails to gather a representative sample of a target population, the phenomenon known as sampling bias takes place. This usually happens as a result of the respondents' selection criteria not capturing a broad enough sampling frame to include all points of view.
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Correct Question:
Arianna collected data from a random sample of 600 people in her city asking whether or not they bike to work. Based on the results, she reports that 44% of the people in her state bike to work. Why is this statistic misleading?
Select the correct answer below:
1. The statistic contains a calculation error.
2. The sample is self-selected.
3. The data contains an outlier.
4. The sample is biased.
A student rewrites the expression 12⋅16−s as another equivalent expression. Which expression could the student write?
The equivalent expression could be 4×3·4×4−s
What is a equivalent expressions?Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
Think about the numbers 3²+1 and 5×2. They both add up to 10. These two expressions are equivalent, so to speak.
Let's now have a look at some expressions with variables, such 5x+2.
It is possible to rewrite the expression as 5x+2=x+x+x+x+x+1+1.
The right side of the equation can be regrouped to 2x+3x+1+1, x+4x+2, or another combination. When the same value is used as x, all of these equations have the same result. These two expressions are equivalent, so to speak.
When two expressions have the same value regardless of the value of the variable(s) they contain, they are said to be equivalent.
Here, 4×3=12 and 4×4=16
therefore, 4×3·4×4−s is equal to the expression 12⋅16−s
4×3·4×4−s and 12⋅16−s are equivalent expressions.
Hence, The equivalent expression could be 4×3·4×4−s
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The equivalent expression could be 4×3·4×4−s.
What is a equivalent expressions?Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.Think about the numbers 3²+1 and 5×2. They both add up to 10. These two expressions are equivalent, so to speak.Let's now have a look at some expressions with variables, such 5x+2.It is possible to rewrite the expression as 5x+2=x+x+x+x+x+1+1.The right side of the equation can be regrouped to 2x+3x+1+1, x+4x+2, or another combination. When the same value is used as x, all of these equations have the same result. These two expressions are equivalent, so to speak.When two expressions have the same value regardless of the value of the variable(s) they contain, they are said to be equivalent.Here, 4×3=12 and 4×4=16
therefore, 4×3·4×4−s is equal to the expression 12⋅16−s
4×3·4×4−s and 12⋅16−s are equivalent expressions.
Hence, The equivalent expression could be 4×3·4×4−s
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your aunt and uncle have been visiting at your home. five minutes after they drive away, you realize that they forgot their luggage. you happen to know that they drive slowly, so you get in your car and drive to catch up with them. your average speed is 10 miles an hour faster that their average speed, and you catch up with them in 25 minutes. how fast did you drive?
Since, We catch the other car if our speed of our car is 60mph.
When you catch up, the distance traveled is the same
Let us consider x as the velocity.
Therefore, our velocity is x + 10
We know that:
Distance = rate x time
According to the question:
r = uncle's rate
30 min = 30/60 hr = uncle's time
25 min = 25/60 hr = your time
and
Uncle's distance = Your distance
Now,
(r)(30/60) = (r + 10)(25/60)
⇒ (r)(1/2) = (r + 10)(5/12)
⇒ r/2 = 5r/12 + 50/12
⇒ 6r = 5r + 50
⇒ r = 50
Now,
Uncle's rate = 50 mph
and, putting the values:
Your rate = 50 + 10 = 60 mph
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