The sample size to meet the error margin is 2185.
What is the error margin?
The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.
Here, we have
The sample size (n) is calculated according to the formula:
n = p(1 - p) (z²/ e²)
Where:
z = 1.96 for a confidence level (α) of 95%, p = proportion, e = margin of error.
z = 1.96, p = 0.35, e = 0.02
n = 0.35(1 - 0.35) (1.962/ 0.022)
n = (0.2275)(9604)
= 2184.91
n ≈ 2185
Hence, the sample size meets the error margin is 2185.
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evaluate 24 - 2³ . 2
Answer:
8
Step-by-step explanation:
solve the 2 cube first = 8
then solve the .2 with 8 = 16
then minus 24
24-8.2
24-16
8
What was Veronica’s mistake
By using the concept of distance, it can be calculated that
Veronica's mistake was that the number of animals seen per kilometer was not calculated by her. Arrangement was made on the basis of animals seen
What is distance?
Distance is the length of the path travelled by an object during its motion.
Here,
For River Edge
Number of animals seen = 8
Length of hike = 3 km
Number of Animals seen per km = [tex]8 \div3[/tex] = 2.67
For Wooden Marsh
Number of animals seen = 24
Length of hike = 8 km
Number of Animals seen per km = 24 [tex]\div[/tex] 8 = 3
For Canyon Creek
Number of animals seen = 35
Length of hike = 15 km
Number of Animals seen per km = [tex]35 \div 15[/tex] =2.33
Number of animals in ascending order are 2.33, 2.67, 3
Canyon Creek, River Edge, Marshy Land is the required arrangement from the least to the greatest.
Veronica's mistake was that the number of animals seen per kilometer was not calculated by her. Arrangement was made on the basis of animals seen
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Complete Question
Veronica went on three hikes. On each hike, she saw the following numbers of animals:
Rivers Edge 3 8
Wooded Marsh 8 24
Canyon Creek 15 35Veronica tried to order the hikes from least to greatest by number of animals seen per kilometer, but she made a mistake. Here's her work:
least greatest
8 24 35
rivers edge wooded marsh canyon creek
What was Veronica's mistake?
Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent error for Diego's
measurement?
4.3%
4.5%
95.7%
104.5%
Answer: 4.3%
Step-by-step explanation:
His accuracy was 22/23 which, as a percentage, is somewhere around 95-96%
To find his percentage error, you would do 1 - 22/23 (or the decimal- whichever you prefer)
1 - 22/23 ≈ 4.3% (as a decimal, it would be approximately 0.043)
If you're allowed to use a calculator, I recommend Desmos Scientific Calculator
I hope this helps!
What is Y value in relation?
In relation, the y values represents the range of the relation
The relation is defined as the relationship between set of ordered pairs. So generally we can say that the relation is defined as the relationship between x values and y values
We know the domain is the set of all inputs of the relation, that means the domain consist of the x values of the relations
Similarly, the range is the set of all outputs of the relation, that means the ranges consist of the y values of the relations
For example
The relation {(1, 2), (3, 4), (5, 6)}
Here x value = {1, 3, 5}
The y value = {2, 4, 6}
Therefore, the y values represents the range
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Han's cell phone plan costs $200 to start. Then there is a $50 charge each month. What is the total cost for x months? write an equation:
Answer:
200+50x
Step-by-step explanation:
If Han's cell phone plan costs $200, Han will have to pay $200 at the start, and since Han has to pay $50 dollars each month, and x = months, we can create 50x for $50 each month. Put both of these together, and we get 200+50x.
Use the least squares regression equation to predict the number of soft drinks sold a day that had a high temperature of 90 degrees. Round your answer to the nearest whole number.
The estimate of the the number of soft drinks sold a day that had a high temperature of 90 degrees is of:
856.
How to obtain the equation for the line of fit?The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.
From the table given in the problem, the points are listed as follows:
(55, 340), (58, 335), (64, 410), (68, 460), (70, 450), (75, 610), (80, 735), (84,780).
Inserting these points into the linear regression calculator, the equation is defined as follows:
y = 16.42x - 621.83.
For a high temperature of 90 degrees, the estimate is calculated when x = 90, hence:
y = 16.42(90) - 621.83 = 856 soft drinks.
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Given:BC is congruent to DC, AB is congruent to ED, AG is congruent to EF. With the given information above, what is needed to prove that triangle ABF is congruent to triangle EDG
Answer:
To prove that triangle ABF is congruent to triangle EDG, we need to show that the three sides of triangle ABF are congruent to the corresponding three sides of triangle EDG.
Since we are given that BC is congruent to DC, AB is congruent to ED, and AG is congruent to EF, we can conclude that the three sides of triangle ABF are congruent to the corresponding three sides of triangle EDG. Therefore, triangle ABF is congruent to triangle EDG.
A total of 809 tickets were sold for the school play. They were either adult tickets or student tickets. There were 59 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
375 Adult tickets
434 Student tickets
Step-by-step explanation:
Let A and S be the numbers of Adult(A) and Student(S) tickets sold. We are told that A+S= 809.
We also learn that A + 59 = S [59 more student tickets sold than adult tickets]
Rearrange the last expression to isolate one of the two variables, A or S. I'll isolate A:
A = S - 59
Now use this expression for A in the first equation ("substitution").
A + S = 809
(S - 59) + S = 809
2S = 868
S = 434
From A + S = 809, we can find A:
A + S = 809
A + 434 = 809
A = 375
Check: Does 375 + 434 = 809?? YES
There were 375 Adult and 434 Student tickets sold, for a total of 809 tickets.
What is the dilation called if scale factor is less than 1?
The dilation is known as contraction when the scale factor is less than 1
The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.
The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image.
The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted.
Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size.
when the scale factor K is greater than 1 , The image size decreased. It gets contracts
Hence, The dilation is called Contraction
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A rectangular pool 24 meters by 16 meters is surrounded by a walkway of width x meters. At what value of x will the area of the walkway equal the area of the pool?
The value of x that the walkway will be equal to the area of the rectangular pool is 5 meters
How to find the value of x that equals the dimension of the poolArea of a rectangle is given by
length * width
Area of the pool
= 24 * 16
= 384
area of the walk way
= (24 + 2x) * (16 + 2x) - area of the pool
= 384 + 58x + 4x² - 384
= 4x² + 58x
when the area will be equal
4x² + 58x = 384
4x² + 58x - 384 = 0
solving the quadratic equation gives
x= 4.9386 OR -19.4386
ignore the negative value
x = 5 meters
at x = 5 meters the walkway will have same area with the pool
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What is the formula of Aeroplane?
The formula for the aerodynamic force acting on an aeroplane is F = (1/2) * p * v^2 * A * C, where F is the force, p is the density of the air, v is the velocity of the aeroplane, A is the surface area of the aeroplane, and C is the coefficient of drag.
1. F = (1/2) : This is the coefficient of air resistance, which is a constant value of 1/2.
2. p : This is the density of the air, which is a measure of the mass of air per unit volume.
3. v : This is the velocity of the aeroplane, which is the speed at which it is travelling through the air.
4. A : This is the surface area of the aeroplane, which is the total area of the wings, fuselage and other exposed parts of the aircraft.
5. C : This is the coefficient of drag, which is a measure of how much air resistance the aeroplane experiences.
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you roll two fair dice, a green one and a red one. (a) what is the probability of getting a sum of 6? (enter your answer as a fraction.) incorrect: your answer is incorrect. (b) what is the probability of getting a sum of 10? (enter your answer as a fraction.) (c) what is the probability of getting a sum of 6 or 10? (enter your answer as a fraction.) g
a) The Probability of getting a sum of 6 is 5/36.
b) The Probability of getting a sum of 10 is 1/12.
c) The Probability of getting a sum of 6 or 10 is 2/9.
Probability:
Probability is the branch of mathematics that deals with numerical descriptions of the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty [Note 1][1][2]. that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).
Probability = (number of desired outcomes / number of all possible outcomes)
Roll of Dice: Green and Red.
(a) The probability of totaling 6:
Number of outcomes needed = 5
Therefore,
P(sum of 6) = 5/36
b) The probability that the total is 10
Number of outcomes required = 3
Therefore,
P(sum of 10) = 3 / 36 = 1/12
c) The probability that the sum is 6 or 10:
P(sum is 6) + P(sum is 10)
(5/36) + (1/12) = (5 + 3) / 36
= 8/36 = 2/9
The events are mutually exclusive because they do not all occur at the same time.
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Garrick and Zan are measuring the heights of seedling plants for science class.
Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.
The complete statements are
Garrick's plant is shorter than Zan's plant, each millimetre of error results in a 11.11% percent error.Garrick's measurement was 2 millimetres off and Zan's was 12 millimetres off. Garrick's measurement was 20% off and Zan's was 12% off.How to complete the statements?The complete question is added at the end of this solution
From the question, we have the following parameters that can be used in our computation:
Garrick's plant:
Actual height = 10 mmMeasured height = 8 mmZan's plant:
Actual height= 100 mmMeasured height = 88 mmGarrick's plant is shorter than Zan's plant and the difference in heights is
Actual difference = 100 mm - 10 mm = 90 mm
Measured difference = 88 mm - 8 mm = 80 mm
The percentage errors are calculated using
Percentage errors = Difference/Actual measurement * 100%
So, we have
Garrick's actual error = (10 - 8)/10 *100% = 20%
Zan's actual error = (100 - 88)/10 * 100% = 12%
Hence, Garrick's measurement was 20% off and Zan's was 12% off.
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5 years ago Patricia put 1200 in a saving account with a 1.5% interest rate. how much does she have now in her savings account now
PLEASE HELP!!!!!
The amount of money in her account after five years will be $1,292.74.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
A long time back Patricia put 1200 in a saving record with a 1.5% financing cost. Then the amount of money in her account after five years will be given as,
A = $1,200 × (1 + 0.015)⁵
Simplify the expression, then we have
A = $1,200 × (1.015)⁵
A = $1,200 × 1.07728
A = $1,292.74
The amount of money in her account after five years will be $1,292.74.
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Which cost will increase or decrease with increase in production?
The variable costs will increase or decrease with an increase in production.
A variable cost could be a corporate expense that changes in the extent to how much a company produces or offers. Variable costs increment or decrease depending on a company's generation or sales volume. When production or deals increment, variable costs increment; when generation or deals decrease, variable costs decrease. Variable costs stand in differentiate from settled costs, which don't alter the extent of production or sales volume. Variable costs are a central portion in deciding a product's contribution margin, the metric utilized to decide a company's break-even or target profit level.
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Can a figure be reflected across three lines of reflection so the
image is the original figure? Explain.
A figure cannot be reflected across three lines of reflection so the image is the original figure
What is reflection of a geometrical image? What is a mathematical function, equation and expression? reflection : A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a statement -
"Can a figure be reflected across three lines of reflection so the image is the original figure".
No, a figure cannot be reflected across three lines of reflection so the image is the original figure. For the number of reflections equal to 3, which indicates an odd number of reflections changes the orientation of the figure.
Therefore, a figure cannot be reflected across three lines of reflection so the image is the original figure.
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Sonya walks on a treadmill at a constant rate of 3.5 miles per hour. A graph showing the relationship between the time she walks and the distance she travels passes through the origin and through the point (1, 3.5). Name three other points that lie on the graph.
The other two points on the line are (2, 7) and (4, 14).
What is the slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
Given, Sonya walks on a treadmill at a constant rate of 3.5 miles per hour
it is the slope.
∴ The equation of this line passing through point (1, 3.5) is,
3.5 = 3.5(1) + b.
b = 0.
So, y = 3.5x.
Now the other points can be obtained by choosing some integer values of x.
When x = 2, y = 7 ⇒ (2, 7).
When x = 4, y = 14 ⇒ (4, 14).
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What effect does a scale factor less than 1 have on the dimensions of the image being scaled?
A scale factor less than 1 will decrease the dimensions of the image being scaled
The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.
The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted.
Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size.
An image's dimension expand , when scale factor is greater than one
An image's dimension will decrease when the scale factor is less than one
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what is the largest possible area for a right triangle in which the sum on the lengths of the two shorters sides is 1q00 in
The largest possible area for the right triangle is 1250 in² in which the sum on the lengths of the two shorter sides is 100 in.
we know that in a right triangle the two shorter sides are the base and the perpendicular. Here we have to find the largest possible area of the triangle in which the sum of the shorter sides is 100 in.
Let the base and perpendicular be x and y respectively.
Therefore,
x+y = 100
y = 100 -x
Also, Area A
= 1/2 xy
= 1 x(100-x)/z
= 100x-x²/2
so the coordinate of vertex = -b/2a
= - 50/2(1-1/2)
= 50
Also,
y = 100-50 [Putting the value of x in equation 1]
= 50
Therefore Maximum, area:
= 1/2 (50)(50)
= 1250 in²
Hence we get the required maximum area.
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Derek only had time to visit 90% of the exhibits at Aquaworld Aquarium. If Derek visited 36 exhibits, how many exhibits does the aquarium have?
Answer: 4 left
Step-by-step explanation:
36 divided by 90% = 40
40-36=4
Write an equation of the line that passes through (4,3) and is parallel and perpendicular to -4x+10
This s the answer
Answer y=(-1/4)x+10
3x - y = -9
−2x + 2y = 6
Answer:
x= -3
y= 0
Step-by-step explanation:
3x-y= -9
+y. +y
3x= -9+y
+9 +9
3x+9=y
-2x+2(3x+9)=6
-2x+6x+18=6
4x+18=6
-18 -18
4x= -12
/4. /4
x= -3
3(-3)-y=-9
-9-y=-9
+9 +9
-y=0
/-1. /-1
y= 0
hopes this helps please mark brainliest
luis thinks the slope is 1/2 explain his mistake and give the correct slope
The correct slope of the line is 5/2 and the mistake made by Luis is that he didn't correctly interpret the scale of both x and y axes.
How to find the slope of the line?To find the slope, we will divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points
By looking at the given graph, we could easily suspect that the slope is 1/2, but then we have to look at it closely to get the correct thing.
The y-axis shows that 1 unit represents 5 while for the x-axis, 1 unit represents 1.
To get the slope, we need two points on the line (w, x) and (y, z), and the slope is given by the quotient:
m = (z - x)/(y - w)
Looking at the graph we can see that the points (0, 5) and (2, 10) are on the line, and as such the slope is;
m = (10 - 5)/(2 - 0) = 5/2
The slope of the linear equation is 5/2.
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what is price of $80 hoodie on 24% discount
Answer: 60.80
Step-by-step explanation:
you saved 19.20
Hey anyone, may i have a hand for this one?
Answer:
nope
Step-by-step explanation:
Answer: Yes (depends)
Step-by-step explanation: It depends because it can only be called "a square" if all sides are parallel, I can't tell. I hoped this helped you understand a little more :)
A woman at a point A on the hore of a circular lake with radiu 2 mi want to arrive at the point C diametrically oppoite A on the other ide of the lake in the hortet poible time (ee the figure). She can walk at the rate of 4 mi/h and row a boat at 2 mi/h. For what value of the angle hown in the figure will he minimize her travel time?
She should make a 90° turn from the starting location. Taking this viewpoint will cut down on her trip time.
What does a math angle mean?An angle is a figure in plane geometry that is created by 2 rays and lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
Briefing :Radius of lake= 2mi
walk rate= 4mi/h
boat speed= 2mi/h
cosθ=adj/hyp=d1/4
d1=4cosθ
The arc length from A to C
S=rθ
arc length is expressed as 2θ
S=2(2θ)
S=4θ=d2
d2=4θ
time= distance/speed
t1=d1/2= 4cosθ/2=2coθ
t2=d2/4=4θ/4=4
total time =t1+t2
T=2cosθ+θ
T(θ)=2cosθ+θ
T'(θ)= -2sinθ+1
0=-2sinθ+1
2sinθ=1
sinθ=1/2
T(π/6)=2.25hours
for 90 we have
T(π/2)=1.57hours
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What type of dilation is formed when the scale factor K is greater than 1?
An expansion where image size increased is formed when scale factor k is greater than 1
The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.
The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image.
The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted. Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size.
when the scale factor K is greater than 1 , The image will enlarged
Hence, An expansion will be occur.
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What function equation is represented by the graph?
The function equation represented by the graph is f(x)=1/4x-3.
Linear FunctionAn equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=10x+4. Where:
m= the slope.
b= the constant term that represents the y-intercept.
For the given example: m=10 and b=4.
From the graph is possible to see the following coordinates points: (0,-3) and (4,-2). Applying the standard form for the linear equation, you can write:
-3=0*m+b (1)
-2=4*m+b (2)
-3=b (1)
-2=4m+b (2)
If b=-3, you can find m from equation 2. Then,
-2=4m-3
-2+3=4m
1=4m
m=1/4
Therefore, the linear equation represented in the graph is y=1/4b -3
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Consider the data set 92, 100, 98, 89, 95, 100, 97. How will adding 65 to the data set affect the mean and the median?
A. The median will increase less than the mean.
B. The median will increase more than the mean.
C. The median will decrease less than the mean.
D. The median will decrease more than the mean.
The arithmetic mean is frequently used when discussing a bunch of numbers as being "average." One of three possible averages—the others being the median and the mode—is the one we're discussing here.
What is the Relationship Between Mean, Median and Mode?It would appear that the mean, median, and mode have no relationship at first glance. Measuring the center of a data collection, however, does have an empirical link.There is typically a difference between the median and the mode, and it is typically three times larger than the gap between the mean and the median, according to mathematicians.Formula below illustrates how the empirical relationship works:Mean minus Mode = 3 (Mean – Median)
For Given
Median, Mode, and Median Results: 95.85714 (Mean (Average)).
A middle value of 97
100 is the Mode (Most Popular)
Variety & Totals
Maximum to Minimum Results: 11
Total Numbers in the Set: 7
in descending order: 89, 92, 95, 97, 98, 100, 100
Ordered in decreasing order: 100,100,98,97,95,92,89
Even Numbers: 92, 98, 100, 100.
Odd Numbers: 89,95,97.
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When the scale factor is a greater than 1 the dilation will be a reduction?
No , When the scale factor is a greater than 1 the dilation will not be a reduction.
The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.
The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image.
The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted.
Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size. We multiple the scale factor to get image.
When the scale factor is greater than 1 figure size increased.
Hence , When the scale factor is a greater than 1 the dilation will be a expansion
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