a-1) Number of students that would you expect to fail is 10.92. Given, the estimated percentage of those taking the quantitative methods portion of the certified public accountant (CPA) examination fail that section is 14%.
Let the total number of students taking the exam be n. So, number of students that would you expect to fail = 14% of 78= (14/100) x 78= 10.92. Approximately 10.92 students would be expected to fail the examination. Rounded to two decimal places is 10.92.a-2)
The formula for calculating the standard deviation is as follows:
Standard Deviation = √(n x p x (1-p))
Where,
n = number of students taking the exam
P = Percentage of students expected to fail= 14% = 0.14
From (a-1), n = 78, p = 0.14
Standard Deviation = √(78 x 0.14 x (1 - 0.14))= √(78 x 0.14 x 0.86)= √(9.9744)= 3.1558≈ 3.06
Therefore, the standard deviation is 3.06 (rounded to two decimal places).
b) The probability that exactly five students will fail can be calculated using the binomial probability formula, as follows:
P(x = 5) = nCx × p^x × q^(n-x)
where,
n = 78p = 0.14q = 1 - p = 1 - 0.14 = 0.86x = 5
Using the formula, we get: P(x = 5) = 78C5 × (0.14)^5 × (0.86)^(78-5)= 2.28 × 10^-2≈ 0.0188
Therefore, the probability that exactly five students will fail is 0.0188 (rounded to four decimal places).
c) The probability that at least five students will fail is the probability that 5 students will fail + probability that 6 students will fail + probability that 7 students will fail + …+ probability that 78 students will fail.
In other words,
P(x ≥ 5) = P(x = 5) + P(x = 6) + P(x = 7) + … + P(x = 78)
Since it is not practical to find the probability for each value of x separately, it is better to find the complement of P(x < 5), which is:
P(x < 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)
Using the formula for binomial probability, we get:
P(x < 5) = 78C0 × (0.14)^0 × (0.86)^(78-0) + 78C1 × (0.14)^1 × (0.86)^(78-1) + 78C2 × (0.14)^2 × (0.86)^(78-2) + 78C3 × (0.14)^3 × (0.86)^(78-3) + 78C4 × (0.14)^4 × (0.86)^(78-4)= 5.95 × 10^-11
Using the complement rule of probability, we get:
P(x ≥ 5) = 1 - P(x < 5)= 1 - 5.95 × 10^-11= 0.999999999941
Therefore, the probability that at least five students will fail is 0.999999999941 (rounded to four decimal places).
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Help lssshjwejjwkwkwwkk
61 matchsticks need to make 20 squares.
Given,
From the figure,
Matchsticks are used to make the pattern.
To make these 4 squares, you need 13 matchsticks.
To find the how many matchsticks do you need to make 20 squares?
Now, According to the question:
Let the need matchsticks be 'n'
The number of the squares to make 1 square , you need 4 matchsticks,
and when you need to add one square, you need three more matchsticks .
So , we have to make n no. of squares you need
4 + 3(n - 1) matchsticks (n \(\geq\) )
= 4 + 3n - 3
= 1 + 3n
When, n = 20
1 + 3 x 20
= 61
Hence, 61 matchsticks need to make 20 squares.
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the rectangular garden shown has a width of 50 feet and a length of 45 feet and is surrounded by a paved path with a uniform width of x feet. if the combined area of the garden and the paved path is 2646 square feet, what is the value of x ?
Thus we only take the positive root:x = 27/8 = 3.375Answer: 3.375 feet.
The problem states that a rectangular garden that measures 50 feet wide and 45 feet long is enclosed by a uniform width of x feet paved path. To solve the problem,
we can use the formula of the combined area of the garden and the paved path and equate it to 2646 square feet. The combined area is computed by adding the area of the garden and the area of the paved path.
Garden area:Length of garden = 45 ftWidth of garden = 50 ftArea of garden = Length x Width= 45 x 50= 2250 square feet
Paved path:
If the garden has a uniform width of x feet paved path, then the width of the paved path would be x + 2x + x= 4x. The width is multiplied by 2 because there are two widths surrounding the garden.
Length of paved path = length of garden + 2 (width of paved path)= 45 + 2 (4x)= 8x + 45Width of paved path = width of garden + 2 (width of paved path)= 50 + 2 (4x)= 8x + 50
The area of the paved path is computed by subtracting the area of the garden from the combined area.Area of paved path = Combined area - Garden area2646 square feet
= (8x + 45) (8x + 50) - 2250= 64x² + 760x + 675
We then solve for the value of x by factoring the quadratic equation.2646 square feet = 64x² + 760x + 6752646 - 2646
= 64x² + 760x + 675 - 264664x² + 760x - 1971
= 0(8x - 27) (8x + 73) = 0
The value of x cannot be negative,
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Unit Rate HW Find the unit rate for each situation. A box of ice cream sandwiches has 12 sandwiches and 1,800 calories in total. How many calories are there per sandwiches
There are 150 calories per sandwich in a box of ice cream sandwiches.
To find the number of calories per sandwich in a box of ice cream sandwiches, you need to divide the total number of calories by the number of sandwiches in the box.
The unit rate for this situation is the number of calories per sandwich.
Here's how to find it: Unit rate = Total number of calories ÷ Number of sandwiches= 1,800 ÷ 12= 150 calories per sandwich
Therefore, there are 150 calories per sandwich in a box of ice cream sandwiches.
Similar to a teaspoon or an inch, a calorie is a unit of measurement. The amount of energy released by your body when it digests and absorbs food is called a calorie. Your body can use more energy from a food if it has more calories.
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Which plane in the rectangular prism is parallel to plane ABC?
plane ABH
plane EFG
plane CDF
plane BCE
The plane EFG in the rectangular prism is parallel to plane ABC.
In this question, we have been given the rectangular prism ABCDEFGH
We need to find the plane which is parallel to plane ABC.
We can observe that in given rectangular prism,
plane ABH is parallel to the plane CDF
plane BCE is parallel to the plane AGF
plane EFG is parallel to plane ABC.
Therefore, the plane EFG in the rectangular prism is parallel to plane ABC.
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Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
27. SAT/ACT Consider △DEF and △PQR . Which additional piece of information would allow you to conclude that △DEF ≅ △PQR ?
A. ∠D ≅ ∠P
B. ∠E ≅ ∠Q
C. ∠D ≅ ∠Q
D. ∠F ≅ ∠R
The statement to complete that △DEF ≅ △PQR is D. ∠F ≅ ∠R>
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
From the given diagram EF ≅ RQ and DF ≅ PR.
We know we can prove two triangles are congruent if they have two congruent sides and the angle included between them are congruent by SAS.
Therefore, EF ≅ RQ and DF ≅ PR and ∠F ≅ ∠R>
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Question 4 Three draws are made without replacement from a box containing 5 tickets; two of which are labeled "1", and one eac labeled, "2", "3" and "4" Find the probability of getting two "1's. 0.3 something else 0.4 0.288 0.16
The probability of getting two "1's" out of three draws without replacement from the box is 0.3, which matches the first option.
How to find the probability of getting three "1's" out of three draws?To find the probability of getting two "1's" out of three draws without replacement from a box containing 5 tickets, we can use the following steps:
Step 1: Determine the total number of possible ways to draw three tickets from the box without replacement. This can be calculated using the formula for combinations:
C(5, 3) = 5! / (3! * 2!) = 10
Step 2: Determine the number of ways to draw two "1's" and one other ticket. There are two "1's" in the box, so we can choose two of them in C(2, 2) = 1 way. The third ticket can be any of the remaining three tickets in the box, so we can choose it in C(3, 1) = 3 ways. Thus, there are 1 x 3 = 3 ways to draw two "1's" and one other ticket.
Step 3: Calculate the probability of getting two "1's" by dividing the number of ways to draw two "1's" and one other ticket by the total number of possible draws:
P(two "1's") = 3 / 10
Therefore, the probability of getting two "1's" out of three draws without replacement from the box is 0.3, which matches the first option.
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Find the coordinates of the vertices of the given points when reflected across the x-axis.
W (-5,0), X (0,2), Y (-1,-3)
As a result, the vertices' values when mirrored along the x-axis are W' (-5,-0), X' (0,-2), and Y'. (-1,3).
The coordinates meaning is unclear?In this case, coordinates refer to the edges of a grid structure. Latitude and longitude are often combined to form GPS measurements. Lines of latitude measure how far north and south are from the center of the earth, which is located at 0 degrees north and south.
When a point is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same.
For point W (-5,0), reflecting across the x-axis results in the point W' (-5,-0).
For point X (0,2), reflecting across the x-axis results in the point X' (0,-2).
For point Y (-1,-3), reflecting across the x-axis results in the point Y' (-1,3).
Therefore, the coordinates of the vertices when reflected across the x-axis are:
W' (-5,-0), X' (0,-2), Y' (-1,3).
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Kim bought a pair of jeans for $48 and 5 t-shirts. She spent a total of $158.00. How much did each t-shirt cost?
How do you write the equation?
Answer:
each t-shirt costed 22 dollars
48+ 5(x)=158
Step-by-step explanation:
158-48=110
110 divided by 5= 22
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Can an acute angle be equal to 90?
No, acute angle can not be equal to 90. if an angle equal to 90 then it is a right angle.
Acute angle
An angle smaller than the right angle is called an acute angle. In other words, the angle which is less than 90 degrees forms an acute angle.
An angle which is measuring less than 90 degrees is called an acute angle. This angle is smaller than the right angle (which is equal to 90 degrees). For example, ∠30o, ∠45o, ∠60o, ∠75o, ∠33o, ∠55o, ∠85o, etc. are all acute angles.
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3.32 Arachnophobia: A 2005 Gallup Poll found that 7% of teenagers (ages 13 to 17) suffer from arachnophobia and are extremely afraid of spiders. At a summer camp there are 10 teenagers sleeping in each tent. Assume that these 10 teenagers are independent of each other. (a) Calculate the probability that at least one of them suffers from arachnophobia. (please round to four decimal places) (b) Calculate the probability that exactly 2 of them suffer from arachnophobia
a) The probability that at least one of them suffers from arachnophobia is 0.4789.
b) The probability that exactly two of the teenagers suffer from arachnophobia is 0.0854
a) To calculate the probability that at least one of the teenagers suffers from arachnophobia, we need to consider the following information:
The probability that a teenager chosen at random suffers from arachnophobia is 7% or 0.07 (as a decimal), denoted as P(A).
There are 10 teenagers in each tent, and they are independent of each other.
The probability of none of them suffering from arachnophobia is the complement of at least one suffering from arachnophobia, denoted as P(Not A) = 1 - P(A).
Therefore, the probability that at least one of them suffers from arachnophobia can be calculated as:
P(At least 1 teenager suffers from arachnophobia) = 1 - P(None of them suffer from arachnophobia)
= 1 - P(Not A)^10
= 1 - (0.93)^10
≈ 0.4789 (to 4 decimal places)
b) To calculate the probability that exactly two of the teenagers suffer from arachnophobia, we can use the binomial probability formula:
P(X = r) = (nCr)(p^r)(q^(n-r))
In this case, we have:
n = 10 (the number of teenagers)
r = 2 (the desired number of successes)
p = 0.07 (the probability of a teenager suffering from arachnophobia)
q = 1 - p = 0.93 (the probability of a teenager not suffering from arachnophobia)
Using the formula, we can calculate:
P(X = 2) = (10C2)(0.07^2)(0.93^8)
= 45(0.0049)(0.3890)
≈ 0.0854 (to 4 decimal places)
Therefore, the probability that exactly two of the teenagers suffer from arachnophobia is 0.0854
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Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
One vase of flowers contains eight purple tulips and six yellow tulips. A second vase of flowers contains five purple tulips and nine yellow tulips. An example of dependent events is selecting a purple tulip from the first vase and then selecting a ___________
One vase of flowers contains eight purple tulips and six yellow tulips. A second vase of flowers contains five purple tulips and nine yellow tulips. An example of dependent events is selecting a purple tulip from the first vase and then selecting a yellow tulip.
The probability of selecting a purple tulip from the first vase is 8/14. Therefore, the probability of selecting a yellow tulip from the first vase is 6/14. Now, the second event is to select a tulip from the second vase. The event of choosing a purple tulip from the second vase is 5/14. Therefore, the second event would depend on the result of the first event. The answer is "yellow tulip" since the two events are dependent on each other.
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17) The growth of a certain bacteria colony is modeled by the function y = 100(1.20)*. Which statements are
correct?
A)
B)
100 is the initial number of bacteria.
x is the growth factor.
This is an exponential function.
1.20 is the number of time intervals.
D)
E)
y equals the final number of bacteria.
C)
Answer:
the corect answers is d and c
Step-by-step explanation:
Answer: B D E
Step-by-step explanation: I got it right on usetestprep
What number should be placed in the box to help complete the division calculation?
Answer:12
Step-by-step explanation:
Ms. Santo's patio is in the shape of a trapezoid. The trapezoid and its dimensions are shown below.
What is the area of the patio?
O 252 square feet
O 360 square feet
O 315 square feet
O144 square feet
Answer: sorry I don’t shave the answer but I need help
Step-by-step explanation:
Evaluate the following expression using the values given. (1 point) Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.
Answer:
4 - 2*16 +
9 - 16 +
16
37
Step-by-step explanation:
On a given day, the temperature in a pool increases with both the work of a heater modeled by the function h(t) and the sun s(t), depending on the amount of time that passes, t, in minutes. Which graph best shows the combination of both functions, c(t) | PLEASE HELP
A graph which best shows the combination of both functions, c(t) is plotted in the image attached below.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is a linear function?A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
This ultimately implies that, the data on a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.
In conclusion, a graph which best shows the combination of both functions, c(t) is plotted in the image attached below.
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It is difficult to determine which graph would best represent the combination of the functions without knowing the details of those functions.
The sum of the two functions h(t) and s(t), which model the rise in pool temperature, can be written as follows:
c(t) = h(t) + s (t)
The specific functions h(t) and s(t) and their values at various times t would affect the graph of c(t).
Both the function h(t) and the function s(t) model the rise in temperature brought on by the sun and the heater, respectively.
The resulting function, c(t), provides the overall increase in temperature caused by the heater and the sun at any given time t. The specific functions h(t) and s(t) and their corresponding rates of change at various periods t, as well as other elements that might have an impact on the pool's temperature, would determine the shape of the graph of c(t).
Which graph would best depict their combination is difficult to answer without knowing the precise functions.
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What two angles of elevation will enable a projectile to reach a target 13 km downrange on the same level as the gun if the projectile's initial speed is 425 m/sec? The two angles of elevation are___° and___°
(Round to the nearest degree. Use ascending order.)
In this cases, The two angles of elevation are 36° and 144°
How to find the angles of elevationTo find the two angles of elevation for a projectile to reach a target 13 km downrange with an initial speed of 425 m/sec, we can use the projectile motion formula:
range (R) = (v² * sin(2 * angle)) / g
where v is the initial speed (425 m/sec), angle is the angle of elevation, and g is the acceleration due to gravity (approximately 9.81 m/s²).
We need to solve for angle.
First, convert the range to meters:
13 km = 13,000 m.
Next, plug the values into the formula:
13,000 = (425² * sin(2 * angle)) / 9.81
Now, solve for angle:
sin(2 * angle) = (13,000 * 9.81) / 425²
sin(2 * angle) ≈ 0.7387
Now, find the two angles using the arcsin function:
2 * angle = arcsin(0.7387)
angle = 0.5 * arcsin(0.7387)
There are two angles that will result in the same range:
angle_1 = 0.5 * arcsin(0.7387)
angle_2 = 180 - angle_1
Calculating the values:
angle_1 ≈ 36° angle_2 ≈ 144°
So, the two angles of elevation that will enable a projectile to reach a target 13 km downrange on the same level as the gun with an initial speed of 425 m/sec are approximately 36° and 144°.
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Each outcome on the spinner below has equal probability. If you spin the spinner three times and form a three-digit number from the three outcomes, such that the first outcome is the hundreds digit, the second outcome is the tens digit and the third outcome is the units digit, what is the probability that you will end up with a three-digit number that is divisible by $4$?
So, the probability of ending up with a three-digit number that is divisible by 4 is 1/24.
To find the probability of ending up with a three-digit number that is divisible by 4 when spinning the spinner three times, we need to consider the possible outcomes that satisfy this condition and divide it by the total number of possible outcomes. Let's analyze the given spinner and its possible outcomes:
Spinner: [1, 2, 3, 4, 5, 6]
To form a three-digit number, the hundreds digit will be determined by the first spin, the tens digit by the second spin, and the units digit by the third spin. A number is divisible by 4 if the last two digits (tens and units digits together) form a number divisible by 4. Therefore, we need to find the number of possible outcomes for the tens and units digits that satisfy this condition.
Possible outcomes for the tens digit: [2, 4, 6]
Possible outcomes for the units digit: [2, 4, 6]
Combining the possible outcomes for the tens and units digits, we have a total of 9 (3 possibilities for the tens digit multiplied by 3 possibilities for the units digit) favorable outcomes. The total number of possible outcomes for each spin is 6 (since there are 6 numbers on the spinner). Since we are spinning the spinner three times independently, the total number of possible outcomes for spinning it three times is 6^3 = 216. Therefore, the probability of ending up with a three-digit number divisible by 4 is:
Probability = favorable outcomes / total outcomes
Probability = 9 / 216
Probability = 1 / 24
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a playground is rectangular with a length of 7/8 miles. If the area of the play ground is 8/20 miles what is the width.
Answer: Width = 8/20 ÷ 7/8 = 8/20 x 8/7 = 16/35 Therefore, the width will be 16/35 miles. Hope you do great :) !
Solve the system of linear equations using substitution:
-15x + 7y = 83
5x + y = -8
Answer:
-15x + 7y = 83
Step-by-step explanation:
Mostly what I get is 0 because what i was taught was moving the constant to the left ( -83=0) and by changing the signs (- +) but like there are different things in this problem I get from the root (-83/15,0) xeR is domain and range yeR so I say 0. I'm sorry if its wrong.
-1/7 is greater than all of the following except:
-1
-1/3
-2
-0.1
Answer:
-1/7 is greater than all of the given numbers except for -0.1.
Step-by-step explanation:
Directions : Factor each of the following Differences of two squares and write your answer together with solution
Step-by-step explanation:
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\( \huge \boxed{\mathfrak{Question} \downarrow}\)
Factor each of the following differences of two squares and write your answer together with solution.
\( \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}\)
1. x² - 36\( \sf \: x ^ { 2 } - 36\)
Rewrite \(\sf\:x^{2}-36 as x^{2}-6^{2}\). The difference of squares can be factored using the rule:\(\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)\).
\( \boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}\)
__________________
2. 49 - x²\( \sf \: 49 - x ^ { 2 }\)
Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: \(\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)\).
\( \sf \: \left(7-x\right)\left(7+x\right) \)
Reorder the terms.
\( \boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}\)
__________________
3. 81 - c²\( \sf \: 81 - c ^ { 2 }\)
Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: \(\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)\).
\( \sf\left(9-c\right)\left(9+c\right) \)
Reorder the terms.
\( \boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}\)
__________________
4. m²n² - 1\( \sf \: m ^ { 2 } n ^ { 2 } - 1\)
Rewrite m²n² - 1 as \(\sf\left(mn\right)^{2}-1^{2}\). The difference of squares can be factored using the rule: \(\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)\).
\( \boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}\)
Solve for w in the proportion.
W/14 = 21/42 W = ?
Answer:
W = 7
Step-by-step explanation:
1) Simplify 21/42 into 1/2
w/ 14 = 1/2
2) Multiply both sides by 14.
W = 1/2 · 14
3) Simplify
W = 14/29
4) Simplify (again)
W = 7
An item is marked down to $357. If the original price is $525, what percent of the original price does the customer have to pay?
Answer:
68%
Step-by-step explanation:
hope this helps uwu
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 find the values of X and Y
Answer:
x = 13
y = 132
Explanation:
48° and y° are same-side interior angles which means they are supplementary, meaning they have to equal 180° when added.
180 - 48 = 132
So y = 132
48° and (5x - 17)° are alternate exterior angles. So they have to be equal. Meaning when the value of x is substituted into (5x - 17)° it has to give us 48°.
5(13) - 17 = 48
So x = 13
. What is the value of x
please help
Answer:
9
Step-by-step explanation:
12x + 17x - 14 + 90 + 2x + 5 = 360
31x + 81 = 360
31x = 279
x = 9
Whats 2/3-5x=-349/14
Answer:
The answer, in mixed number form, would be 5 5/42