Two hikers are 22 miles apart and walking toward the each other, they meet in 4 hours. The rate of each hiker if one hiker walks 3.3 mph faster than the other are 2.2mph, 2.2mph, 3.3mph.
What is a speed?Distance divided by time is the dimension of speed. The SI measure of speed is the meter per second (m/s), although the most widely used unit in daily life is the kilometer per hour (km/h), or miles per hour in the US and the UK (mph). The knot is a popular choice for air and sea travel.
The instantaneous speed serves as the upper bound of the average speed as the duration of the time period gets closer to 0. The distance traveled by an object during a period of time divided by the length of the period gives the average speed of an object throughout that period. Velocity and speed are not the same thing.
Time divided by distance are the speed-related metrics. The kilometer per hour (km/h), or miles per hour in the US and UK, is the unit of speed that is most frequently used in daily life. The meter per second (m/s) is the metric unit of speed (mph). The knot is often used in air and sea transportation.
Since the hikers are moving at varying speeds, they collide in a location other than the center.
Let the distance travelled by Hiker A (slower) be x at speed s.
So, the distance travelled by Hiker B (faster) is (22 - x) at a speed (s + 1.1).
s = x / 4
s + 1.1 = 22 - x / 4
After resolving equations 1 and 2, we obtain:
x = 8.8m and s = 2.2mph
Therefore,
Speed of the Hiker A = 2.2 mph
Speed of the Hiker A = 2.2 mph
Speed of the Hiker B = 3.3 mph
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freddy
a drew plan for a rectangular piece of material that will use for a blanket. Three of the vertices are (,), (,), and (,). What are the coordinates of the fourth vertex?
The fourth vertex's coordinates are as follows: ( 2.1, -3.6)
What are coordinates?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.
So, let the missing coordinates be (a,b).
Let's now utilize the midpoint formula to locate the erroneous coordinate.
Let the reference point be (-2.3, 3.6) A.
Let point B be (2.3, 2.2).
(2.1, 2.2) Let C be the point.
The center of AC should be at BD.
Step 1: Locating the AC's midpoint
Middle pint of AC:
(-2.3 + 2.1/2), (-3.6 + 2.2/2)
(0.2/2), (1.4/2)
(-0.1, -0.7)
Let's equate the midpoints in step two.
The BD mid-point:
(a + -2.3/2), (b + 2.2/2) = (-0.1, -0.7)
(a + -2.3/2) = -0.1
(a -2.3/2) = -0.1*2
a = -0.2+2.3
a = 2.1
(b + 2.2/2) = -0.7
b + 2.2 = -0.7*2
b + 2.2 = -1.4
b = -1.4 -2.2
b = -3.6
Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)
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Complete question:
Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ( -2.3 and −3.6), (−2.3, and 2.2), and (2.1, and 2.2). What are the coordinates of the fourth vertex?
Will a large-sample confidence interval be valid if the population from which the sample is taken is not normally distributed? explain
A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.
Yes, the large-sample confidence interval will be valid.
What is meant by normal distribution?A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.
The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.
The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.
What does a large sample confidence interval for a population mean?A sample is considered large when n ≥ 30.
By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.
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A newspaper article claimed: "the average cost of weekly groceries is $124.50." what statistical measurement are they most likely claiming?
The average cost of weekly groceries exists at $124.50." The statistical measurement exists they most probably claim exists mean.
What is mean?The arithmetic mean of a given data exists as the totality of all observations divided by the number of observations.
For instance, a cricketer's scores in five ODI matches exist as follows:
12, 34, 45, 50, 24.
To estimate his average score in a match, we compute the arithmetic mean of data utilizing the mean formula:
Mean = Sum of all observations/Number of observations
Median
The value of the middlemost observation, acquired after organizing the data in ascending or descending order, exists named the median of the data.
For instance, consider the data: 4, 4, 6, 3, 2. Let's organize this data in ascending order: 2, 3, 4, 4, 6. There exist 5 observations.
Therefore, median = middle value i.e. 4.
Mode
The value which occurs most often in the provided data i.e. the observation with the highest frequency exists named a mode of data.
As per the circumstances we have given the average cost of groceries.
The mean exists also the average sum of data divided by the total number of data.
Therefore, the statistical measurement exists as the mean.
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Look at the nutritional facts below. How many grams (g) of unsaturated fat are there in 240 g of these crisps? CRISPS Salt & Vinegar Nutritional facts: Fat makes up 35% of the weight of these crisps. ● ● 2 of this fat is unsaturated fat. 3
Based on the nutritional facts provided, there are 4.8 grams of unsaturated fat in 240 g of these crisps.
What percentage of fats are unsaturated fats?Based on the nutritional facts provided, 2/35 of fat are unsaturated fats.
The percentage of unsaturated fat in 35% of fats is calculated below:
The percentage of unsaturated fat in 35% fats = 2/35 * 35/100
The percentage of unsaturated fat in 35% fats = 2.00%
The mass in grams of unsaturated fat in 240 g of crisps, is calculated below as follows:
mass in grams of unsaturated fat = 2% * 240 g
mass in grams of unsaturated fat = 4.8 g
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Knowing your personal strengths and weaknesses will help to keep your goal a. within your skills and abilities c. both of these b. within its timeline d. none of these please select the best answer from the choices provided a b c d
The correct choice is within your skills and abilities.
Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.
It will also result in no or less time wasted in doing what you are less capable of.
Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.
Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.
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Answer:
Step-by-step explanation:
a you just had to say a
Mom is getting food ready for my birthday party! Including me, there will be 22 people at the party. Mom is baking cupcakes for us! She can bake 12 cupcakes per batch. How many batches should I tell Mom to make so we can each have 3 cupcakes?
Answer:
She will need to make a total of 5 1/2 batches.
Step-by-step explanation:
If there is 22 people at the party, including yourself, and you'd each like to have 3 cupcakes, 22 times 3 is 66. Each batch yeilds 12 cupcakes, so 66 total cupcakes devided by 12, would be 5 1/2 batches.
how many ternary strings (digits 0, 1, or 2) are there with exactly 5 0s, 5 1s and 5 2s?
A ternary string is a string composed of characters 0, 1, and 2. The number of ternary strings that contain exactly n characters, each of which is one of three types, is 3^n.Exactly 5 0s, 5 1s, and 5 2s are required for the ternary string, which means that the total number of characters is 15.
Each of these characters can be one of three types (0, 1, or 2). As a result, the total number of possible strings is 3^15. This is equivalent to 14,348,907. We arrived at this conclusion by computing 3 to the fifteenth power.Explanation:When constructing a sequence of three symbols, the first symbol has three alternatives, the second symbol has three alternatives, and so on. There are n choices for each of the n characters, resulting in a total of 3^n possible sequences.Example 1:Let's assume we have to create 5-character sequences with three symbols: a, b, and c. There are 3*3*3*3*3 = 243 possible sequences since there are three choices for each symbol.Example 2:Let's assume we have to construct a 10-character sequence using three symbols: 0, 1, and 2. There are 3*3*3*3*3*3*3*3*3*3 = 59,049, a total of 59,049 possible 10-character sequences. We can perform the same calculation for 15-character strings using the same logic.
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Kylie works as a salesperson at an electronics store and sells phones and phone accessories. Kylie earns a $15 commission for every phone she sells and a $2 commission for every accessory she sells. On a given day, kylie made a total of $352 in commission and sold 6 more accessories than phones. Determine the number of phones sold and the number of accessories sold.
The number of phones sold would be 20
And, the number of accessories sold would be 26.
Used the concept of an equation that states,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that,
Kylie earns a $15 commission for every phone she sells and a $2 commission for every accessory she sells.
And, On a given day, Kylie made a total of $352 in commission and sold 6 more accessories than phones.
Let us assume that,
The number of phones sold = x
And, the number of accessories sold = y
Hence, the equation becomes,
15x + 2y = 352 .. (i)
And, y = x + 6 .. (ii)
Substitute the value of y in (i);
15x + 2y = 352
15x + 2 (x + 6) = 352
15x + 2x + 12 = 352
17x + 12 = 352
17x = 352 - 12
17x = 340
x = 340/17
x = 20
From (ii);
y = x + 6
y = 20 + 6
y = 26
Therefore, The number of phones sold = 20
And, the number of accessories sold = 26
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complete the division problem by determining the number that should be placed in the Box! (answer asap plz)
Answer:
598-x=78
x=598-78
=520
Please help I will mark brainliest
Solve the equation. x - 4 = -5x - 28 x =
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x/4-(28/1)=0
Step by step solution :
STEP
1
:
28
Simplify ——
1
Equation at the end of step
1
:
x
— - 28 = 0
4
STEP
2
:
x
Simplify —
4
Equation at the end of step
2
:
x
— - 28 = 0
4
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
28 28 • 4
28 = —— = ——————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (28 • 4) x - 112
———————————— = ———————
4 4
Equation at the end of step
3
:
x - 112
——————— = 0
4
STEP
4
:
When a fraction equals zero
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
x-112
————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-112 = 0
Solving a Single Variable Equation:
4.2 Solve : x-112 = 0
Add 112 to both sides of the equation :
x = 112
One solution was found :
x = 112
Step-by-step explanation:
make me as brain liest
. If Ya/n and Y2/n are the respective independent relative frequencies of success associated with the two binomial distributions b(n, P1) and b(n, P2), compute n such that the approximate probability that the random
interval (Y1/n - Y2/n) ‡ 0.05 covers pi - p2 is at least 0.80. HINT: Take p* = P° = 1/2 to provide an upper bound
for n.
we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.
To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.
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Answer this math question for 10 points
Can someone please
Help me with this graph
Answer:
graph the slope and the -2
Step-by-step explanation:
first, plot a point at (0,-2) because of the -2 as the y intercept
then, start graphing ur slope
ur next points should be
(2,-1), (4,0) (6,1) and so on
PLEASE HELP WILL MAEK BRAINLIEST FOR CORRECT ANSWERS ONLY!
Answer:
7. (x, y) --> (x, y + 5)
8. (x, y) --> (-x, y)
9. (x, y) --> (3x, 3y)
10. A
11. D
12. C
Please help 7th grade math
Answer:
x=20, g=100, f=80
Step-by-step explanation:
when ever somthing is suplementary it means the the answer will euqal to 180 degrees. That means your equation is going to be
3x+40+5x-20=180
8x+20=180
8x=160
x=20
Finding g
3(20)+40
60+40
g=100
FInding f
5(20)-20
100-20
f=80
A rectangle has a length of 5x+2 and a width of 3x-1. Write an Expression for the perimeter of the rectangle
Answer:
16x+6
Step-by-step explanation:
5x+2+3x+1+5x+2+3x+1 =
16x+6
Answer:
16x + 2
Step-by-step explanation:
\(\boxed{\begin{minipage}{4 cm}\underline{Perimeter of a rectangle}\\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\\phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}\)
Given expressions:
\(\textsf{Length} = 5x + 2\)\(\textsf{Width} = 3x - 1\)To write an expression for the perimeter of the rectangle, substitute the given expressions for the width and length into the perimeter formula:
\(\begin{aligned}\implies \textsf{Perimeter} &=2\left(5x+2+3x-1 \right)\\ &= 2(5x+3x+2-1)\\&=2(8x+1)\\&=16x+2\end{aligned}\)
A man wanted to reduce his mass by 10%. His mass was 109.5 kg.
After going on a diet he reduced his mass to 99.4 kg.
Has he achieved his goal? Give a reason for your answer.
He reduced his mass to 99.4 kg, As 99.4 > 98.55, so, he failed to achieve the target.
What is Mass?A body's mass is a fundamental characteristic. Before the discovery of the atom and the field of particle physics, it was generally thought to be tied to the amount of matter in a physical body.
The amount of matter in a particle or object is represented by its mass, which is denoted by the symbol m. In the International System (SI), the kilogram serves as the default unit of mass (kg).
How much matter an object contains is determined by its mass. The total number of atoms, their density, and the kind of atoms they are in an object are what make up its mass.
Mass of the man = 109.5 kg Reduces 10% of 109.5
Final weight = 109.5-(10% of 109.5)
= 98.55
he reduced his mass to 99.4 kg
As 99.4 > 98.55, so, he failed to achieve the target.
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Martha ran a 5-kilometer race in 22.5 minutes what is Martha's unit rate
please help me solve
Which is a true statement about the transformation?
A.) Triangle ABC was translated 8 units left and 3 units up.
B.) The pre-image is in quadrant II.
C.) The orientation of the figure was changed.
D.) The orientation of the vertices was changed
HELP ASAP
Answer: the answer is B
Step-by-step explanation:
Answer:b
Step-by-step explanation:
scores on a certain test are normally distributed with a variance of 14. a researcher wishes to estimate the mean score achieved by all adults on the test. find the sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 2 units.
The researcher needs a sample size of at least 10 to assure with 90% confidence that the sample mean will not differ from the population mean by more than 2 units.
To find the sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 2 units, we can use the formula:
n = (Z * σ / E)²
where:
n = sample size
Z = Z-score corresponding to the desired confidence level (in this case, 90% confidence corresponds to a Z-score of approximately 1.645)
σ = standard deviation of the population (given as the square root of the variance, so σ = √14)
E = maximum allowable error or margin of error (given as 2 units)
Plugging in the values:
n = (1.645 * √14 / 2)²
Simplifying:
n = (1.645 * 3.74 / 2)²
n = (6.1393 / 2)²
n = 3.06965²
n ≈ 9.42
Therefore, the sample size needed to assure with 90% confidence that the sample mean will not differ from the population mean by more than 2 units is approximately 9.42.
The researcher should gather a sample of at least 10 adults to estimate the mean score achieved by all adults on the test with 90% confidence that the sample mean will not differ from the population mean by more than 2 units.
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A company finds that when they pay employees more, the employees are more productive. How would you classify these events, based on this finding?
Independent
Dependent
Based on the finding that paying employees more results in increased productivity, we can conclude that the event of paying employees more is the independent variable, while the event of increased productivity is the dependent variable.
This means that paying employees more is the cause or predictor of increased productivity, while increased productivity is the effect or outcome of paying employees more. In mathematical terms, we can represent this relationship as:
Increased Productivity = f(Paying Employees More)
Where "f" is a function that maps the level of Paying Employees More to the level of Increased Productivity. The function can take different forms depending on the nature of the relationship between the two events. For example, it could be a linear function, where the increase in productivity is proportional to the increase in pay.
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure of a base angle. What is true about triangle XYZ? Select three options.
Answer:
A. Angle Y is a right angle.
B. The measure of angle Z is 45°.
E. The perpendicular bisector of creates two smaller isosceles triangles.
Step-by-step explanation:
Let x represent the measures of base angles X and Z. 2x is the measure of vertex angle Y.
x + x + 2x = 180°
x = 45°
2x = m∠Y = 90°
The triangle is an isosceles right triangle which has base angles of 45°.
The perpendicular bisector of line XZ creates two smaller isosceles triangles with acute angles of 45°
Answer:
The answers are A B E
Step-by-step explanation:
Find the length of segment XY.
a.28
b.21
c.29
d
7
Answer:
7
Step-by-step explanation:
Because the parts of the circle are congruent, the segments are as well, we can use that to make an equation then solve it like normal
9x-34=4x+1
-1 on both sides
9x-35=4x
-9x on both sides
-35=-5x
x=7
Solve for x: -1 < x + 3 < 5
Answer:
- 4 < x < 2
Step-by-step explanation:
- 1 < x + 3 < 5 ( subtract 3 from each of the 3 intervals )
- 4 < x < 2
-1 < x + 3 < 5
Then subtract 3 from each of the 3 intervals
- 4 < x < 2
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!! PLEASE I NEED HELP ASAP, I WILL MARK THE FIRST PERSON THAT ANSWERS WITH THE RIGHT ANSWER THE BRAINIEST !!!
Which of the following is an arithmetic sequence?
A. 4, 7, 10, 13, 16
B. 1, 2, 4, 7, 10
C. 3, -3, 4, -4, 5, -5
D. 2, 4, 8, 16, 32
Answer:
A is the answer
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I am in need of assistance.
Answer:
A. x = 6.08, x = -0.58
Step-by-step explanation:
\(\displaystyle \frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24}=\frac{-3}{x-6}\)1. Factor the denominator.
\(\displaystyle \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}\)2. Multiply the leftmost fraction by (x-6)/(x-6) to get common denominators.
\(\displaystyle \Big ( \frac{x-6}{x-6} \Big ) \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}\)3. Simplify.
\(\displaystyle \frac{2x^2-12x}{(x-4)(x-6)}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}\)4. Combine like terms.
\(\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6}\)5. Multiply the right side of the equation by (x-4)/(x-4).
\(\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6} \Big ( \frac{x-4}{x-4} \Big )\)6. Simplify.
\(\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3x+12}{(x-6)(x-4)}\)7. "Cancel" out the denominators because they are equivalent.
\(2x^2-14x+5=-3x+12\)8. Set the equation equal to 0.
\(2x^2-11x-7=0\)Quadratic formula:
\(\displaystyle x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}\)9. Factor using the quadratic formula.
\(\displaystyle x = \frac{-(-11)\pm \sqrt{(-11)^2-4(2)(-7)} }{2(2)}\)10. Multiply and simplify.
\(\displaystyle x = \frac{11 \pm \sqrt{177} }{4}\)11. Plug this into your calculator and solve for x.
\(x=6.07603367 \approx 6.08\) \(x=-0.57603367 \approx -0.58\)The correct answer is A. x = 6.08, x = -0.58.
The magazine called Literary Digest conducted a poll to predict the result of the 1936 Presidential election. At the time, their poll was famous for correctly predicting other elections. In 1936 they mailed questionnaires to 10 million people and asked how they planned to vote. The mailing list was chosen from telephone directories, country club memberships, and automobile registrations. Approximately 2.3 million people returned the questionnaire predicting Landon would win with 57% of the vote. Instead Roosevelt won in a landslide. What problem(s) occurred?
a. undercoverage and non-response
b. undercoverage only
c. response bias only
d. non-response bias only
The predictions of the 2.3 million people who responded to the questionnaire turned out to be wrong, and Roosevelt won in a landslide. This error in the prediction occurred due to undercoverage and non-response.
The problem that occurred during the poll conducted by the magazine called Literary Digest in 1936 was the undercoverage and non-response. The magazine mailed questionnaires to 10 million people, and they mailed questionnaires to people whose mailing addresses were selected from telephone directories, country club memberships, and automobile registrations. However, only 2.3 million people returned the questionnaires to the magazine, and they predicted that Landon would win with 57% of the vote. The predictions of the 2.3 million people who responded to the questionnaire turned out to be wrong, and Roosevelt won in a landslide. This error in the prediction occurred due to undercoverage and non-response.
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Please help me out i don’t know what right and left is!!! please tell me :(((
Answer:
put your fingers out in the shape of L's. Which ever finger has the L facing the proper way, is left, and the other is right.
Step-by-step explanation: