Residents of four cities are able to vote in an upcoming regional election. A newspaper recently conducted a survey to gauge support for each of the two candidates. The results of the poll are shown in the two-way frequency table below.
Answers
Answer:
3 only
Step-by-step explanation:
Consider the statement, "The two cities with the highest number of respondents, both show more support for candidate A." In the total column, the two highest number of respondents are 471 and 463 which represent Carsonville and Appleton. For Carsonville, the number of respondents who prefer candidate A is 205, which is less than the number of respondents who prefer candidate B, 266. Therefore, this statement is not true.
Consider the statement, "The number of people who support candidate B in Carsonville is twice the number of people who support candidate B in New Thomas." In the table, the number of people who support candidate B in Carsonville is observed to be 266 and the number of people who support candidate B in New Thomas is 138. Since 266 is not equal to twice 138, this statement is not true.
Consider the statement, "More residents of Center City responded to the poll than the number who responded from New Thomas." In the total column, it can be observed that 350 people responded to the poll in Center City and 318 people responded to the poll in New Thomas. Since, 350 is greater than 318, this statement is true.
Consider the statement, "Overall, more residents support candidate A than candidate B." The bottom row of the table represents the total number of responses for each candidate. The number of people supporting candidate A is 797, which is less than the number of people supporting candidate B, 805. So, this statement is not true.
Therefore, the true statement is III only.
More residents of the center city responded to the pole than the number who responded from New Thomas, which is the only correct option. Option B. is correct.
Data given in the table shows the data of elections between two candidates among the different cities.
What is Statistic?
Statistics is the study of mathematics that deals with relations between comprehensive data.
I.The two cities with the highest number of respondents both show more support for candidate A. This statement is false because carsonville is the second highest support for A but it does not show more support for candidate A.
II.The number of people who support candidate B in Carsonville is twice the number of people who support candidate B in New Thomas. It is false
III. More residents of Center City responded to the pole than the number who responded from New Thomas. It is true.
IV. Overall, more residents support candidate A than candidate B. it is also false.
Thus, more residents of the center city responded to the pole than the number who responded from New Thomas, which is the only correct option. Option B. is correct.
Learn more about Statistics here:
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Related Questions
What is 7 x -5?........
Answers
Answer:
-35
Step-by-step explanation:
7*5*(-1)
The solution to the expression 7 * -5 is -35
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
7 * -5
Evaluate all the products in the expression
so, we have the following representation
7 * -5 = -35/1
Evaluate all the quotients in the expression
so, we have the following representation
7 * -5 = -35
Lastly, we have
7 * -5 = -35
Hence, the solution is -35
Read more about expressions at
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Which property of equality was used to solve this equation? x − 5 = -14 x − 5 + 5 = -14 + 5 x = -9 A. addition property of equality B. subtraction property of equality C. multiplication property of equality D. division property of equality
Answers
Answer:
A
Step-by-step explanation:
In the second step, they added 5 to both sides to get rid of the -5 on the left side. Since the same thing was done to both sides (addition), the answer is the addition property of equality.
Answer:
Addition property of equality
Step-by-step explanation:
The equation is like:
=> x - 5 = -14
=> x - 5 + 5 = -14 + 5
=> x = -9
Since, we add 5 to both sides to solve for "x", the answer is "Addition Property of Equality".
Hope this helps.
The entire graph of the function h is shown below write the domain and range of h using interval notation.
Answers
you can only see values of [tex] x[/tex] Ranging from $-3$ to $3$ and they're included, so domain is $[-3,3]$
and $y$ values ranging from $-2$ to $4$ but $-2$ is not included so range is $(-2,4]$
What is the nearest 100 of 1730
Answers
Answer:
1700
Step-by-step explanation:
pls thnx and mark me brainliest
How can a company use a scatter plot to make a future sales decision?
Answers
Answer:
Hope this helps :)
Step-by-step explanation:
A scatter plot is a two-dimensional diagram that displays individual data points based on the intersection of two variables, shown as vertical and horizontal axes. Individual data points or values are plotted at particular coordinates of the two variables being studied. Patterns of data points provide a visual representation of relationship between the two variables. A wide range of jobs and careers use this valuable analytical tool for data analysis and decision making.
My conclusion,
They help organize important data for future occurences.
the sum of the prime divisors of 2001 is a) 55, b) 56, c) 670, d) 671, e) 2001
Answers
Answer:
Option A
Step-by-step explanation:
2001 can be divided by 3, 23, and 29 without remainders. This means that the three numbers are prime divisors of 2001.
2001/3 = 667
2001/23 = 87
2001/29 = 69
The sum of the prime divisors is 55.
3 + 23 + 29 = 55
Option A should be the correct answer.
Hope this helps.
y x1 x2
10 1 16
11 5 11
15 5 14
15 9 11
20 7 1
23 11 8
27 16 7
32 21 3
a. Using technology, construct a multiple regression model with the given data.
b. Interpret the meaning of the values for b1 and b2.
Answers
Answer:
ŷ = 0.964X1 - 0.336X2 + 13.066
b1 = 0.964 which is the unit change in the value of y when x1 changes.
b2 = - 0.336 which is the unit change in the value of y when x2 changes
Step-by-step explanation:
Y
10
11
15
15
20
23
27
32
X1
1
5
5
9
7
11
16
21
X2
16
11
14
11
1
8
7
3
The general form of a multiple regression equation is in form:
ŷ = b1x1 + b2x2 + c
Where,
ŷ = predicted or dependent variable
b1 and b2 = slope or gradient Coefficient for the independent or predictor variables x1 and X2 respectively.
c = intercept (constant)
Using the online multiple regression calculator, the model obtained by Inputting the values is written below:
ŷ = 0.964X1 - 0.336X2 + 13.066
Value of b1 = 0.964 which is the unit change in the value of y when x1 changes.
Value b2 = - 0.336 which is the unit change in the value of y when x2 changes
What is the correct alternate hypothesis if the pilots' average gain score due to alcohol is indicated in the hypothesis statement by
Answers
Answer:
Ha : Pilots average gain score not due to alcohol.
Step-by-step explanation:
Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. Here the null hypothesis is that pilots average gain due to alcohol. Then if there is no alcohol what is pilots average gain. This thing will be tested as alternative hypothesis.
Heng tried to define a reflection across line r.
• Any point N on line r maps to itself.
• Any point M not on the line of reflection maps to a point M' such that the midpoint L of MM' is
on liner.
Which counterexample shows that Heng's definition does not fully define a reflection?
Choose 1 answer:
Answers
Answer:
Any point N on line r maps to itself.
Step-by-step explanation:
Reflection is one of the examples of solid transformation in which a given point, segment, or figure is flipped over a reference point or line to produce its image. The distance of the object to the reference point or line is the same as the distance of its image to the point or line. And both have the same size, but different orientation.
The option that does not fully define a reflection is; any point N on line r maps to itself, because no image of point N is produced after the operation.
Answer:
C. This matches Heng's definition, but is not a reflection, because MM'MM
′
M, M, prime is not perpendicular to line rrr.
Step-by-step explanation:
James stand at the centre of a regular field. he first take 50 steps North then 25 step West and finally 50 steps on the bearing of 315°.
i. sketch James movement
ii. how far west is James final point from the centre?
iii. how far north is James final point from the centre?
iv. describe how you would guide a jhs student to find the bearing and distance of James final point from the centre.
Answers
Answer:
Step-by-step explanation:
i. For navigation purposes, bearing is measured clockwise from north. In (x, y) coordinates, a distance D at a bearing B will have coordinates ...
(x, y) = (Dsin(B), Dcos(B))
Then 50 steps north (bearing 0°) will put James at coordinates ...
(x, y) = (50sin(0), 50cos(0)) = (0, 50)
The movement 25 steps west (bearing 270°) will add a displacement of ...
(x, y) = (25sin(270°), 25cos(270°)) = (-25, 0)
Finally, the movement of 50 steps on bearing 315° will add a displacement of ...
(x, y) = (50sin(315°), 50cos(315°)) = (-25√2, 25√2)
These movements are shown by the arrows to N, W, and F in the attached diagram.
__
ii. James's final displacement is the sum of the individual displacements:
(0, 50) +(-25, 0) +(-25√2, 25√2) = (-25(1+√2), 25(2+√2))
James is 25(1+√2) ≈ 60.4 steps west of center.
__
iii. James is 25(2+√2) ≈ 85.4 steps north of center.
__
iv. The distance can be found using the Pythagorean theorem (or distance formula). The distance from the origin to the final position (OF in the diagram) will be the root of the sum of the squares of the north and west displacements:
distance = √(85.355² +60.355²)
distance ≈ 104.5 steps
The bearing can be found using the arctangent function. The diagram shows you the reference angle (relative to the +y direction) has an opposite side equal to the west displacement, and an adjacent side equal to the north displacement. Then the bearing angle (β) will be ...
tan(β) = opposite/adjacent = -60.355/85.355
β ≈ arctan(-0.707106) ≈ -35.3°
The positive bearing angle is 360° added to this, or
bearing = 324.7°
Given a sample of 35, what is the sample standard deviation of a pair of jeans if the 90% confidence interval is [37.14, 42.86]
Answers
Answer:
10.295Step-by-step explanation:
Using the value for calculating the confidence interval as given;
CI = xbar + Z*σ/√n
xbar is the mean = 37.14+42.86/2
xbar= 80/2
xbar = 40
Z is the z-score at the 90% confidence = 1.645
σ is the standard deviation
n is the sample size = 35
Given the confidence interval CI as [37.14, 42.86]
Using the maximum value of the confidence interval to get the value of the standard deviation, we will have;
42.86 = xbar + Z*σ/√n
42.86 = 40 + 1.645* σ/√35
42.86-40 = 1.645*σ/√35
2.86 = 1.645*σ/√35
2.86/1.645 = σ/√35
1.739 = σ/√35
1.739 = σ/5.92
σ= 1.739*5.92
σ = 10.295
Hence, the sample standard deviation of a pair of jeans is 10.295
The points (-6,-4) and (3,5) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
The length of the radius is a
(Round to the nearest hundredth as needed.)
Answers
Answer:
40.5
Step-by-step explanation:
diameter^2 = (3 +6)^2 + (5+4)^2
or, d^2 = 9^2 + 9^2
or, d^2 = 81 +81
or,d^2 =162
or d=√ 162
• d= 81
then radius = d/2
r = 81/2
•r= 40.5 ans
2/5 × 3/7? please help
Answers
Answer:
[tex]\frac{2}{5}[/tex] • [tex]\frac{3}{7}[/tex] = [tex]\frac{6}{35}[/tex]
Answer: 0.171
Step-by-step explanation:
First, do 2/5 which would equal 0.4
Second, so 3/7 which would equal 0.428571428571429
Lastly multiply the two answers together to get 0.171428571428571
A bus company has contracted with a local high school to carry 450 students on a field trip. The company has 18 large buses which can carry up to 30 students and 19 small buses which can carry up to 15 students. There are only 20 drivers available on the day of the field trip.
The total cost of operating one large bus is $225 a day, and the total cost of operating one small bus is $100 per day.
Determine the minimum cost of transporting all 450 students.
Answers
Answer:
Step-by-step explanation:
From the given information;
Let consider p to be the number of large buses and q to be the number of small buses.
The company has 18 large buses which can carry up to 30 students and 19 small buses which can carry up to 15 students.
The linear inequality represent the students with respect to the total students s:
30p + 15q ≥ 450 -----(1)
They are only 20 drivers available on the day of the field trip, therefore only 20 buses can be used. So,
p + q ≤ 20 ----- (2)
Also , There are only 19 small buses and 18 large buses:
∴
0 ≤ p ≤ 18
0 ≤ q ≤ 19
The total cost of operating one large bus is $225 a day, and the total cost of operating one small bus is $100 per day
In order to minimize the cost of transporting all 450 students, let z be the minimal cost. i.e
z = 225p + 100q
From equation 1 and 2 ; if we plot them graphically on the graph, the following points of intersection were obtained as shown in the sketch below, in which the shaded region lies the answer.
The point of intersection between equation (1) and (2) is (p,q) = (10,10)
From the critical point in the sketch of our graph attached below, the following values of z can be determined.
Point(s) Value for Z
(15,0) 15 × 225 = 3375
(18,0) 18 × 225 = 4050
(18,2) (18 × 225 )+ (2 × 100 ) = 4250
(10,10) (10 × 225) + (10 × 100) = 3250
Thus ; the minimum cost of transporting all 450 students = $3250
5) Suppose a slice of a 12-inch pizza has an area of 20 square inches. What is the angle of
this slice?
Answers
Answer:
The angle of the slice is 63.64 degrees
Step-by-step explanation:
Here in this question, we are concerned with calculating the angle of the slice.
What we should know are as follows;
1. A pizza is a perfect circular shape
2. A 12-inch pizza means the diameter of the pizza is 12 inches and consequently its radius will be 12/2 = 6 inches
3. A slice of a pizza represents a sector of the circle( a sector is part of a circle bounded by 2 radii and an arc)
Mathematically, to calculate the angle of the slice, we simply use the formula for the area of a sector.
Area of sector = theta/360 * pi * r^2
where Area of sector = 20 square inches
theta is the center angle we are looking for
r is the radius of the pizza which is 6 inches
Plugging these values into the area of sector equation, we have
20 = theta/360 * 22/7 * 6^2
20 = theta/10 * 22/7
22 theta = 10 * 20 * 7
theta = 1400/22
theta = 63.64 degrees which is approximately 64 degrees to the nearest degree
3. A medical devices company wants to know the number of MRI machines needed per day. A previous study found a standard deviation of four hours. How many MRI machines must the company study in order to have a margin of error of 0.5 hours when calculating a 90% confidence interval
Answers
Answer:
173 MRI machines
Step-by-step explanation:
Margin of error E = 0.5
Confidence interval 90% = 1-0.9 = 0.1
Standard deviation = 4 hours
Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²
Z alpha/2 = 1.645 at alpha = 0.1
Inputting these values into n we have that
[(1.645*4)/0.5]²
= 13.16²
= 173.18 is approximately equal to 173
The company has to study 173 machines.
Put these numbers in order from greatest to least.
8
-2-
25
2.45
-0.84
Answers
Answer:
25, 2.45, 8, -0.84, -2
Step-by-step explanation:
negative is a least number
positive is a greater number
Positive number-8, 25, 2.45
Negative number-(-2), -0.84
ordering number from greatest to least:
25, 2.45, 8, -0.84, -2
-2 is smallest then -0.84 because 2 is bigger then 0.84. It is opposite with the positive number.
The bigger the positive number the biggest it is. While the bigger the negative number the smallest it is.
Answer:
Step-by-step explanation:
The numbers are:
● 8
● -2
● 25
● 2.45
● -0.84
To make it easy classify the positive numbers apart and the negatives ones alone
● 2.45<8< 25
● -2 < -0.84
25 is the greatest and -2 is the least
● 25 > 8 > 2.45 > -0.84 > -2
there are 12 eggs in one box and 12 boxes in one crate. how many eggs are in a shipment of 24 crates
Answers
Answer:
Step-by-step explanation:
12 eggs in one box
12 boxes = 1 crate
12 x 12 = 144 eggs
144 x 24 crates = 3456 eggs
Answer:
3,456 eggs
Step-by-step explanation:
There are 12 eggs in one box and 12 boxes in one crate. To find out how many eggs are in a crate, multiply 12 and 12
12*12=144
144 eggs in one crate.
We want to find out what how many eggs are in 24 creates. We know there are 144 eggs in 1 crate. Therefore, we can multiply 144 and 24.
144*24=3,456
There are 3,456 eggs in 24 crates.
find the total area of the prism
Answers
Answer:
63.5
Step-by-step explanation:
Write the following as an inequality: y is no greater than 4 but more than –2.
Answers
Answer:
Step-by-step explanation:
First lets focus on, y is no greater than 4,
y < 4
Now we focus on, more than –2,
y > -2
Combining these inequalities get us,
-2 < y < 4
Answer:
-2<y≤4
Step-by-step explanation:
PLEASE HELP ASAP Madelyn drove a race car in a race. She averaged 55 mph and began the race 0.5 hours ahead of the other drivers. The variable d represents Madelyn's distance driven, in miles. The variable t represents the number of hours since the other drivers began to race. Which equation can be used to determine the distance Madelyn drove t hours into the race? d=55t−0.5 d=55(t+0.5) d=55(t−0.5) d = 55t + 0.5
Answers
Answer:
d=55(t+0.5)
Step-by-step explanation:
d=55(t+0.5)
Answer:
27.5
Step-by-step explanation:
Gail paid a total of $12,000 for stock that was $6 per share. If she sold all her shares for $18,000, how much profit on each share did she make?
A
$9
B
$3
С.
S2000
D
$6.000
Answers
Answer:
$3
Step-by-step explanation:
Given
Total Cost Price: $12,000
Unit Cost Price= $6
Total Selling Price = $18,000
Required
Determine the profit on each share
First, we need to determine the units of share bought;
Units = Total cost price / Unit Cost Price
[tex]Units = \frac{\$12000}{\$6}[/tex]
[tex]Units = 2000[/tex]
Next is to determine the selling price of each share; This is calculated as follows;
Unit Selling Price = Total Selling Price / Units Sold
[tex]Unit\ Selling\ Price = \frac{\$18000}{\$2000}[/tex]
[tex]Unit\ Selling\ Price = \$9[/tex]
The profit is the difference between the unit cost price and unit selling price
[tex]Profit = Unit\ Selling\ Price - Unit\ Cost\ Price[/tex]
[tex]Profit = \$9 - \$6[/tex]
[tex]Profit = \$3[/tex]
simplify 4x+3y please
Answers
Answer:
[tex]\boxed{4x + 3y}[/tex]
Step-by-step explanation:
Hey there!
Well 4x + 3y cannot be added together because they are 2 different variables.
4x + 3y = 4x + 3y
So 4x + 3y simplified is,
4x + 3yHope this helps :)
Solve x2 + 9x + 8 = 0 by completing the square. What are the solutions?
O (1.-8)
O (1.8)
O (-1-8)
Answers
Explanation:
x^2 + 9x + 8 = 0
x^2 + 9x = -8
Add (9/2)^2 to both sides
x^2 + 9x + (9/2)^2 = -8 + (9/2)^2
(x + 9/2)^2 = -8 + 81/4
(x + 9/2)^2 = -32/4 + 81/4
(x + 9/2)^2 = 49/4
Square root both sides
Sqrt (x + 9/2)^2 = sqrt 49/4
x + 9/2 = plus or minus 7/2
Set x + 9/2 = 7/2:
x + 9/2 = 7/2
x = 7/2 - 9/2
x = -2/2 = -1
Set x + 9/2 = -7/2:
x + 9/2 = -7/2
x = -7/2 - 9/2
x = -16/2 = -8
The function y=-2(x-3)2 + 4 shows the daily profit (in hundreds of dollars)
of a hot dog stand, where xis the price of a hot dog (in dollars). Find and
interpret the zeros of this function.
Select two answers: one for the zeros and one for the interpretation.
O A. Zeros at x = 3 1/2
B. The zeros are the hot dog prices at which they sell o hot dogs.
C. Zeros at x = 2 and x = 3
D. The zeros are the hot dog prices that give $0.00 profit (no profit).
Answers
Answer:
D. The zeros are the hot dog prices that give $0.00 profit (no profit).
Step-by-step explanation:
Given the function y=-2(x-3)² + 4
The zeros of the function are the points at which the graph of the function crosses the x axis if plotted. y is the daily profit (in hundreds of dollars) and x is the price of the hot dog. To find the zeros, we substitute x = 0 and solve.
Therefore: y=2(x-3)² + 4
0 = 2(x-3)² + 4
-2(x² - 6x + 9) + 4 = 0
-2x² + 12x - 18 + 4 = 0
2x² - 12x + 18 - 4 = 0
2x² - 12x + 14 = 0
2(x² - 6x + 7) = 0
x² - 6x + 7 = 0
Solving the quadratic equation gives:
x = 3 + √2 and x = 3 - √2
This means that the graph crosses x at 3 + √2 and 3 - √2.
The zeros of the function are 3 + √2 and 3 - √2. The zeros of the function is the point where y = 0, that is the point that the hot dog prices that give $0.00 profit (no profit).
2. (1 pt) The following statement is true or false;
When we know the population standard deviation, o, we use a standard normal
distribution (z-score) to calculate the error bound EBM and construct the
confidence interval and when the population standard deviation, o, is unknown,
we use a Student's t distribution (t-score) to calculate the error bound EBM and
construct the confidence interval.
a. true
b. false
Answers
If you know the population standard deviation (sigma), then you use the Z distribution. If sigma is not known, then you use the T distribution.
Side note: Even if sigma is not known, you could use the Z distribution if the sample size n is greater than 30. If n > 30, then the T distribution is approximately about the same as the Z distribution.
PLEASE HELP!!! TIMED QUESTION!!! FIRST CORRECT ANSWER WILL BE BRAINLIEST!!!
The bar graph shows the number or each item sold at a bake sale. Which statement about the graph is true?
Answers
Let me know if you need the working out. Hope it helps :)
if z and (z+50) are supplement of each other find the value of z
Answers
Answer:
z=65
Step-by-step explanation:
supplementary angles means sum of those angles is 180 degrees
so,
z+z+50=180
2z=130
z=65
I did the best I could, I'm 12 don't judge me.
Kaliska is jumping rope. The vertical height of the center of her rope off the ground R(t)R(t)R, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts jumping, her rope is 0\text{ cm}0 cm0, start text, space, c, m, end text off the ground, which is the minimum. After \dfrac{\pi}{12} 12 π start fraction, pi, divided by, 12, end fraction seconds, it reaches a height of 60\text{ cm}60 cm60, start text, space, c, m, end text from the ground, which is half of its maximum height
Answers
Answer:
Step-by-step explanation:
Evaluate the following expressions: 2(−1 + 3) − 7
Answers
Answer:
-3 is the answer.
Step-by-step explanation:
=2(-1+3)-7
=2(2)-7
=4-7
=-3
Hope it will help you :)
