Our table looks like this:
x | y
--|--
1 | 3
2 | 6
-2 | -6
0 | 0
The rule given is x -> y = 3x, which means that the value of y is three times the value of x. To fill in the table with at least 4 points, we can choose any four values of x and calculate their corresponding values of y using the rule.
Let's start with x = 1. Plugging this value into the rule, we get y = 3(1) = 3. So the first point in our table is (1, 3).
Next, let's try x = 2. Using the rule, we get y = 3(2) = 6. So the second point in our table is (2, 6).
Moving on, let's choose x = -2. Using the rule, we get y = 3(-2) = -6. So the third point in our table is (-2, -6).
Lastly, let's try x = 0. Using the rule, we get y = 3(0) = 0. So the fourth point in our table is (0, 0).
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1: A study group is interested in estimating the average monthly income of 1,500 employees. It decides to select a random sample of 60 female and 80 male employees using proportional allocation. Identify: a) the population and sample b) the scope of data collection (censes or sample survey) (c) The variable of interest d) The possible sources of data collection colfaction e) The type of statistics used
Answer:
a) The population is the 1,500 employees, while the sample is the 60 female and 80 male employees selected using proportional allocation.
b) The scope of data collection is a sample survey, as only a subset of the population is being studied.
c) The variable of interest is the average monthly income of the employees.
d) The possible sources of data collection could include surveys or interviews of the selected employees, or obtaining salary data from the human resources department of the company.
e) The type of statistics used would be inferential statistics, specifically confidence interval estimation and hypothesis testing, to make inferences about the population based on the sample data.
Please help, It's a statistics question, I need the answer ASAP
A particular variable measured on the US population is approximately normally distributed with a mean of 112 and a standard deviation of 22. Consider the sampling distribution of the sample mean for samples of size 16.
Answer:
Step-by-step explanation:
The sampling distribution of the sample mean for samples of size n is approximately normal with mean μ and standard deviation σ/sqrt(n), where μ is the mean of the population, σ is the standard deviation of the population, and sqrt(n) is the square root of the sample size.
In this case, the population mean is μ = 112 and the population standard deviation is σ = 22. We are interested in the sampling distribution of the sample mean for samples of size n = 16.
The mean of the sampling distribution of the sample mean is the same as the population mean, which is μ = 112.
The standard deviation of the sampling distribution of the sample mean is σ/sqrt(n) = 22/sqrt(16) = 5.5.
Therefore, the sampling distribution of the sample mean for samples of size 16 is approximately normal with mean 112 and standard deviation 5.5.
The perimeter of a rectangle is 18 feet, and the area of the rectangle is 14 square feet. What is the length of the rectangle?
The length of the rectangle with the above information is calculated as: 7 feet.
How to Determine the Length of the Rectangle?Let the length of the rectangle be l and the width be w. Then, we know that:
Perimeter = 2(l + w) = 18 feet
Area = lw = 14 square feet
We can use the first equation to solve for one of the variables in terms of the other:
l + w = 9
l = 9 - w
Substituting l = 9 - w into the equation for the area, we get:
(9 - w)w = 14
w² - 9w + 14 = 0
Factorize
(w - 2)(w - 7) = 0
Therefore, w = 2 or w = 7. Since the length of the rectangle must be larger than its width, we choose w = 2 and l = 9 - w = 7.
Thus, the length of the rectangle is 7 feet.
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I need help on this question
Answer:
C
Step-by-step explanation:
0 is base like for example negatives are below and positives are above and zero is the thing right in between so sea level would be 0!
Correct answer is 0.
Step-by-step explanation:Sea level si always the parameter to use when indicating the elevation of any place on earth. If you happen to be located at the same altitude than the sea, then you are at level 0 altitude in any unit of measure.
A surfer recorded the following values for how far the tide rose, in feet, up the beach over a 15-day period. 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 21, 22, 23, 24 Which of the following histograms best represents the data collected?
Draw n equally spaced marks between 0 and 1 on each of the x and y axes. Connect the first mark on the x-axis (closest to 0) to the last mark on the y axis (closest to 1), the second mark on the x axis to the second last on the y axis, and so on.
As n increases this process creates a curved boundary, C, as seen in this example diagram. Give an equation for this curve as n → ∞.
the equation for the curve C as n approaches infinity is y = x This is the equation of the diagonal line that passes through the points (0, 0) and (1, 1).
what is diagonal line ?
A diagonal line is a straight line that runs obliquely (at an angle) between two opposite corners of a geometric shape, such as a rectangle or a square. It is called "diagonal" because it connects two non-adjacent vertices of the shape, forming a diagonal across the interior of the shape.
In the given question,
As n increases, the process described in the question creates a set of line segments that connect the equally spaced points on the x-axis to the equally spaced points on the y-axis. The resulting curve is a piecewise linear function that converges to a continuous curve as n approaches infinity.
To derive an equation for this curve, we can start by considering the line segment connecting the first mark on the x-axis to the last mark on the y-axis. Let's call this point (0, 1) and the nth mark on the x-axis (1, 0). The slope of the line connecting these two points is given by:
m = (0 - 1) / (1 - nth mark) = (1 - nth mark)^(-1)
where the nth mark on the x-axis is given by:
nth mark = 1 - (1/n)
Substituting this expression for nth mark into the equation for m, we get:
m = (n/(n-1))
The y-intercept of the line is given by:
b = 1 - m = 1 - (n/(n-1)) = 1/(n-1)
Therefore, the equation for the line segment connecting the first mark on the x-axis to the last mark on the y-axis is:
y = (n/(n-1))x + 1/(n-1)
Similarly, the equation for the line segment connecting the second mark on the x-axis to the second last on the y-axis is:
y = (n/(n-2))x + 1/(n-2)
Continuing this process for all n line segments, we get:
y = (n/(n-k))x + 1/(n-k)
where k = 1, 2, ..., n.
To get the equation for the curve C, we need to take the limit as n approaches infinity. As n goes to infinity, the value of k becomes insignificant compared to n, and we can approximate the equation for the curve as:
y = x
Therefore, the equation for the curve C as n approaches infinity is:
y = x
This is the equation of the diagonal line that passes through the points (0, 0) and (1, 1).
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The dimensions of the box below are reduced by half. What is the ratio of the volume of the new box to the volume of the original box?
please help!!!!
u will get 100 points!!!!
Answer:
1:8
Step-by-step explanation:
The original volume of the box can be calculated by multiplying the length, height, and width:
V = l x h x w = 40 x 8 x 20 = 6,400 cubic inches
If each of the dimensions is reduced by half, the new dimensions become:
Length = 20 inches
Height = 4 inches
Width = 10 inches
The volume of the new box can be calculated as follows:
V_new = l x h x w = 20 x 4 x 10 = 800 cubic inches
The ratio of the volume of the new box to the volume of the original box is:
V_new / V = 800 / 6,400 = 1/8
Therefore, the ratio of the volume of the new box to the volume of the original box is 1:8.
Answer:
I think it's 1 : 8
Step-by-step explanation:
if you don't understand, you can ask me
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Image attached please help proof
The missing part of the attached proof:
a) definition of angle congruence
b) ∠CPA ≅ ∠CPB
c) CP ≅ CP
The complete paragraph proof would be,
Because CP is perpendicular bisector of AB, CP is perpendicular to AB and point P is the midpoint of AB.
By definition of midpoint,
AP = BP
and by the definition of perpendicuar lines,
m∠CPA = m∠CPB = 90°
Then by definition of segment congruence,
AP ≅ BP
and by definition of angle congruence,
∠CPA ≅ ∠CPB
By the reflexive property of segment congruene,
CP ≅ CP
So, ΔCPA ≅ ΔCPB ........by SAS congruence theorem
and CA ≅ CB because corresponding parts of congruent triangles are congruent.
So, CA = CB by the definition of segment congruence.
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Write an equation (any form) for the quadratic graphed below
Answer:
[tex]y = -2(x - 1)^2 + 3[/tex]
Step-by-step explanation:
The given figure which is a quadratic is the shape of a parabola
The general vertex form equation of a parabola is
[tex]y = a(x - h)^2 + k[/tex]
where,
( h, k ) is the vertex and a is a constant
Looking at the figure we see the vertex is at [tex](1, 3)[/tex]
So the equation of the parabola is
[tex]y = a(x - 1)^2 + 3[/tex]
To compute the constant [tex]a[/tex] take a point (x, y) through which the parabola passes, plug in these x, y values into the above equation and solve
The parabola passes through point [tex](3, -5)[/tex]
Plugging
[tex]x = 3, y = -5[/tex]
gives
[tex]- 5 = a(3-1)^2 + 3\\\\-5 = a\cdot 2^2 + 3\\\\-5 = 4a + 3\\\\-5-3=4a\\\\-8 = 4a\\\\a = -8/4 = -2\\\\[/tex]
Therefore the equation of the given quadratic(parabola) is
[tex]y = -2(x - 1)^2 + 3[/tex]
Help please!!!!
Whoever answers right gets brainliest!
4w+6.
Step-by-step explanation:1. Formula of perimeter.The perimeter is just the summation of the length of all sides of a shape. In the case of a circle, the perimeters is its circumference length. So for this case, all we need to do is add up all the sides in a single expression that will represent the perimeter.
2. Calculating the perimeter formula.So perimeter for this triangle should be:
Side 1 + Side 2 + Side 3.
Where:
Side 1= w+4;
Side 2= 2w+2;
Side 3= w.
Then, perimeter is:
(w+4)+(2w+2)+(w)
Adding up all the like terms:
(w+2w+w)+(4+2)
(4w)+(6)
4w+6.
How can you quickly know that a function is a growth function?
Answer:
3rd choice: when b>1
Step-by-step explanation:
For this function, a is the starting value (initial amount). b is the decay or growth factor. If b>1, then the function is a growth function.
FYI, if 0 < b < 1, then it is a decay function.
Cual es mayor
1 or 1
_ _
4 3
Answer:
Step-by-step explanation:
1/3 is greater.
I need the answer to this please!!
Answer: 16 pounds
Step-by-step explanation:
12/3=4 and 4x4=16
The Regular polygon has the following measures.
a=7√3cm
s=14 cm
Segment a is drawn from the center of the polygon perpendicular to one of its sides.
What is the vocabulary term for segment a?
what is the area of the polygon?
Round to the nearest tenth and include correct units
The vocabulary for a is called the apothem
The area of the regular polygon is [tex]2419.68 cm^2.[/tex]
How to solve for areaa = 7√3 cm
s = 14 cm
The perimeter of the polygon is:
P = ns
where n is the number of sides of the polygon. We can find n using the formula:
[tex]n = 360 / (180 - (360 / 2n))[/tex]
where n is the number of sides. Substituting the given value for s, we get:
[tex]n = 360 / (180 - (360 / 2*7)) = 14[/tex]
Therefore, the polygon has 14 sides.
a = [tex]\sqrt{31.820 cm)^2 - (14 cm/2)^2}[/tex])
= 24.615 cm
A = (1/2) * apothem * perimeter
[tex](\frac{1}{2} ) * 24.615 cm * 196 cm \\=\\ 2419.68 cm^2[/tex]
Therefore, the area of the regular polygon is [tex]2419.68 cm^2.[/tex][tex]2419.68 cm^2.[/tex]
In summary,
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According to the NOAA, the state of Oregon has just over 6 million feet of Pacific coastline. If the population of Oregon is approximately 3.8 million people, find the number of feet of coastline per capita in Oregon. Round your answer to the nearest hundredth
1.58 feet of coastline are found per person. To the nearest hundredth, we round to: 1.58 feet of coastline are found per person.
what is unitary method ?In statistics, the unitary approach is a way towards resolving proportional problems. It entails first determining the value of a single unit of either a statistic, and then applying that knowledge to determine the value of any other required number of units. Consider the scenario where we are aware that 5 bananas cost $2.50. We can employ the unitary technique to calculate the price of seven apples as follows: Determine the price of a single apple: 2.50 ÷ 5 = 0.50 .Divide the price of one banana by the quantity you want of apples. 0.50 × 7 = 3.50 .It follows that 7 bananas would cost $3.50. Additionally, this technique can be applied to more challenging issues requiring numerous ratios and proportions.
given
Divide the total number of feet of coastline by the state's population to get the amount of coastline per person in Oregon:
Total shoreline / Population equals coastline per person.
coastline divided by population (3,800,000) equals 6,000,000 feet.
1.58 feet of coastline are found per person. To the nearest hundredth, we round to: 1.58 feet of coastline are found per person.
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Thereare6redmarblesand11orangemarblesinabag.Yourandomly choose one of the marbles. What is the probability of choosing a red marble
The probability of choosing a red marble is 6/17.
What is the probability of choosing a red marbleThe probability of an event occurring is the number of favorable outcomes divided by the total number of possible outcomes.
To calculate this probability, we can use the formula:
P(red marble) = number of red marbles / total number of marbles
In this case, we substitute the numbers we know:
P(red marble) = 6 / 17
So the probability of choosing a red marble is 6/17 or approximately 0.35.
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in the figure below, m ABD=95 degrees, and m 1 is 35 degrees
Answer:
<2 = 30°
Step-by-step explanation:
Let angle 1 = x
Let angle 2 = y
x + y = 95
x = 35 + y Substitute 35 + y for x in x + y = 95
x + y = 95
35 + y + y = 95 Subtract 35 from both sides
y + y = 60 Combine like terms
2y = 60 Divide both sides by 2
y = 30
Helping in the name of Jesus.
I don’t get 4 and 5 so can someone please help me
a) We are given that f(x) = x^3 - 10x^2 + 19x + 30 and x - 6 is a factor of f(x). Using long division or synthetic division, we can divide f(x) by x - 6 to get the other factor(s):
6 │ x^3 - 10x^2 + 19x + 30
x^3 - 6x^2
-------------
-4x^2 + 19x
-(-4x^2 + 24x)
---------------
5x + 30
5x - 30
-------
0
Therefore, we can write:
f(x) = (x - 6)(x^2 - 4x + 5)
The quadratic factor x^2 - 4x + 5 cannot be factored further using real numbers.
b) We are given that f(x) = x^3 + 6x^2 + 5x - 12 and x + 4 is a factor of f(x). Using long division or synthetic division, we can divide f(x) by x + 4 to get the other factor(s):
-4 │ x^3 + 6x^2 + 5x - 12
-x^3 - 4x^2
--------------
2x^2 + 5x
2x^2 + 8x
------------
-3x - 12
-3x - 12
--------
0
Therefore, we can write:
f(x) = (x + 4)(x^2 + 2x - 3)
The quadratic factor x^2 + 2x - 3 can be factored further using the product-sum method:
x^2 + 2x - 3 = (x + 3)(x - 1)
Therefore, we have:
f(x) = (x + 4)(x + 3)(x - 1)
Please help confused thank you
The solution to the inputs of the given function are:
a) f(0) = 13
b) f(2) = -1
c) f(-2) = 27
d) f(1) + f(-1) = 26
How to solve Function Inputs?The set of input values of a function is referred to as the domain of the function. Then, the set of output values of the function is referred to as the range of the function. Thus, if we possess a set of ordered pairs, we can find the domain by listing all of the input values, which are the x-coordinates.
We are given the function:
f(x) = (-x)³ - x² - x + 13
a) f(0) = (-0)³ - (0)² - 0 + 13
f(0) = 13
b) f(2) = (-2)³ - (2)² - 2 + 13
f(2) = -1
c) f(-2) = (2)³ - (-2)² + 2 + 13
f(-2) = 27
d) f(1) = (-1)³ - (1)² - 1 + 13
f(1) = 10
f(-1) = (1)³ - (-1)² + 1 + 13
f(-1) = 16
f(1) + f(-1) = 10 + 16 = 26
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Which roman symbol is neither repeated nor added or subtracted?
Answer:
symbols V
The symbols V L and D are not written to the left of a symbol that has greater value
Diane is a camp counselor she designs a new obstacle course in testicles with three friends. The plot data shows the time it takes them to complete the obstacle course. What is the mean of time
To find the mean time it takes for Diane and her friends to complete the obstacle course, we added up the time taken by each person and divided by the total number of people. The mean time is 13.0 minutes.
Add up the time taken by each person
Diane: 12
Friend 1: 14
Friend 2: 10
Friend 3: 16
Total time = 12 + 14 + 10 + 16 = 52 minutes
Count the total number of people:
Diane and three friends, so the total number of people = 4
Divide the total time by the total number of people to find the mean time
Mean time = Total time / Total number of people
Mean time = 52 / 4
Mean time = 13.0 minutes
Therefore, the mean time it takes for Diane and her three friends to complete the obstacle course is 13.0 minutes.
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--The given question is incomplete, the complete question is given
" Diane is a camp counselor she designs a new obstacle course in testicles with three friends. The plot data shows the time it takes them to complete the obstacle course. What is the mean of time
the plot data for the time taken by each person in minutes is as follows
Diane: 12
Friend 1: 14
Friend 2: 10
Friend 3: 16 "--
A publisher reports that 72% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 380 found that 67% of the readers owned a personal computer. Find the value of the test statistic. Round your answer to two decimal places.
Answer: The value of the test statistic to 2 d.p is z= 1.65
Step-by-step explanation:
P cap= 0.72
n= 170
P= 0.66
q= 1- p
q= 1- 0.66
q= 0.34
Z=( p cap - p)/√(p*q)/n
Z= (0.72- 0.66)/√(0.66*0.34)/170
Z= 0.06/0.036332
Z= 1.65
algebra please help quickly, you don't have to explain anything just straight up state the answers true or false
Answer:
they are correct
Step-by-step explanation:
Please help me out with this
Answesar:
Step-by-step explanation:
SA = 10(5)² = 250cm²
Volume² = 2 (5)³ = 250cm³
They are not equal.
Surface area is in square cm and volume is in cm³.
Solve the equation 4/3 (x + 6) = 2x – 3 + x.
The solution to the equation is x = 33/5.
We can start by simplifying both sides of the equation using the distributive property and combining like terms:
4/3 (x + 6) = 2x - 3 + x
4/3 x + 8 = 3x - 3
Next, we can isolate the variable x on one side of the equation by subtracting 4/3 x and adding 3 to both sides:
4/3 x - 3x = -8 - 3
-5/3 x = -11
Finally, we can solve for x by dividing both sides by -5/3:
x = -11 / (-5/3)
x = 33/5
Therefore, the solution to the equation is x = 33/5.
2
A farmer places beehives containing bees in her orchard to pollinate the plants. The table
below shows the ratio of the number of beehives to the number of acres in the orchard.
BEEHIVES PER ACRE
A 38
B 40
C 44
Number of
Beehives
48
Number of
Acres
3 9
12
If the bees pollinate the plants at a constant rate, how many acres will be pollinated by the
bees in 18 beehives?
8 24 32
18
?
The number of acres pollinated by the bees in 18 beehives is 48 acres.
A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
The variables for this problem are given as follows:
x: number of beehives.
y: number of acres.
From the table, the constant is obtained as follows:
3k = 8
k = 8/3
Hence the equation is of:
y = 8x/3.
The number of acres that will be pollinated by 18 beehives is then given as follows:
y = 8(18)/3
y = 48 acres.
Therefore, the number of acres pollinated by the bees in 18 beehives is 48 acres.
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A film distribution manager calculates that 9 % of the films released are flops. If the manager is correct, what is the probability that the proportion of flops in a sample of 407 released films would differ from the population proportion by less than 3% ? Round your answer to four decimal places.
The probability that the population percentage would differ from the sample proportion of flops in a sample of 407 released films by less than 3% is roughly 0.8354, rounded to four decimal places.
Describe the binomial distribution using an example.For the trials we are looking at, the probability of receiving a success in a binomial distribution must stay constant. Since there are only two possible outcomes when tossing a coin, for instance, the probability of flipping a coin is 12 or 0.5 for each experiment we conduct.
To determine the likelihood that the sample proportion of flops is within 3% of the population proportion, we need to know the chance that |p - 0.09| 0.03.
We can suppose that the sample proportion's distribution is
approximately normal with mean μ = 0.09 and standard deviation σ = √((0.09)(0.91)/407)
≈ 0.017.
We may calculate the z-scores for the top and lower boundaries of the interval using the conventional normal distribution:
z1 = (0.06 - 0.09) / 0.017 ≈ -1.76
z2 = (0.12 - 0.09) / 0.017 ≈ 1.76
The probability between these two z-scores is represented by the region beneath the standard normal curve:
P(-1.76 < Z < 1.76)
= 0.9177 - 0.0823
= 0.8354
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1737x+642y=3 x and y are integers
The model shown below is a perfect cube with a volume of 27 cubic units. Which statement is true about all perfect cubes?
A. A perfect cube represents 3 times the area of a face of the cube.
B. A perfect cube represents the sum of 9 edge lengths of the cube.
C. A perfect cube represents the volume of a cube with equal integer side lengths.
D. A perfect cube represents the surface area of a cube with equal integer side lengths.
The correct statement which is true about all perfect cubes is,
⇒ A perfect cube represents 3 times the area of a face of the cube.
We have to given that;
The model shown below is a perfect cube with a volume of 27 cubic units.
Now, We can formulate;
⇒ V = 27 cubic units.
⇒ V = 3 × 9 cubic units.
⇒ V = 3 × 3² cubic units.
Thus, The correct statement which is true about all perfect cubes is,
⇒ A perfect cube represents 3 times the area of a face of the cube.
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what is five term in 12,16,21,27
Answer:
34
Step-by-step explanation:
This is sequnce has an easy pattern with adding 1 to the difference every time and goes +4, +5, +6 , so the next should be +7
Answer: think it’s a5=34
Step-by-step explanation: