In a recent survey of 79 heads of household, 46 said they did online banking on their cell phones. Find the standard error for the sample proportion of heads of household who do online banking on their cell phones. Enter your answer as a decimal rounded to three decimal places.
Answers
Answer:
\(SE_p = 0.055\)
Step-by-step explanation:
Given
\(n = 79\) --- Heads
Proportion, p = 46 out of 79
Required
Determine the standard error for sample proportion (SEp)
This is calculated using the following formula
\(SE_p = \sqrt{\frac{p(1-p)}{n}}\)
In this case:
\(p = \frac{46}{79}\)
\(p = 0.5823\)
Substitute values for p and n in:
\(SE_p = \sqrt{\frac{p(1-p)}{n}}\)
\(SE_p = \sqrt{\frac{0.5823 * (1-0.5823)}{79}}\)
\(SE_p = \sqrt{\frac{0.5823 * 0.4177}{79}}\)
\(SE_p = \sqrt{\frac{0.24322671}{79}}\)
\(SE_p = \sqrt{0.00307881911}\)
\(SE_p = 0.0554871076\)
\(SE_p = 0.055\) ---- Approximated
Related Questions
need help my dad owns this app
Answers
The volume of the solid is given as follows:
55 ft³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The total volume would be given as follows:
V = 9 x 6 x 1.25
V = 67.5 ft³.
The volume of the removed part is given as follows:
V = 1.25 x 2.5 x (9 - 3 - 2)
V = 12.5 ft³.
Hence the volume of the solid is given as follows:
67.5 - 12.5 = 55 ft³.
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The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 7th percentile of the data is 16 hours.
Step 1 of 5: Based on the given information, determine if the following statement is true or false. The 54th percentile is less than 26 hours.
Step 2 of 5: Approximately how many families are in the sample? Round your answer to the nearest integer.
Step 3 of 5: Based on the given information, determine if the following statement is true or false. Approximately 200 families turned on their televisions for less than 35 hours.
Step 4 of 5: What is the value of the 50th percentile?
Step 5 of 5: Based on the given information, determine if the following statement is true or false.The first quartile is greater than or equal to 20 hours.
Answers
Answer:
Step-by-step explanation:
The mean of the data is 31 hours and the median of the data 27.2 hours.
24 of the families in the sample turned on the television for less than 16 hours for the week.
The 7th percentile = 16 hours
Step 1:
The median is a value that divides the whole data into two equal parts. It implies that the median represents the 50th percentile of the data.
Given that the median is 27.2 hours, thus the 54th percentile should be greater than 27.2 hours.
Thus, the given statement is false.
Step 2:
Let assume that N is the total number of families
24 of the families in the sample turned on the television for less than 16 hours for the week.
The 7th percentile = 16 hours
It means that 7% of N = 24
N = 24/0.07
N = 343
Step 3:
From (2), N = 343
Given that median= 27.2 hours.
It means 200 families turned on their television for less than 27.2 hours.
We don't know if this is true for 35 hours. 100 families may use less than 35 hours and 200 may use more than 35 or vice versa. In addition to that, even 50 families might use less than 35 and 350 may use more than 35 hours.
Hence, the statement is false.
Step 4:
The median is the 50th percentile value which is = 27.2 hours
Step 5:
The statement is false
The 25th percentile is the first quarter of the data and if the 7th percentile is 16 hours, then the 25th percentile should be greater than that.
What sample size is necessary such that a 98% confidence interval for the mean, using σ = 3, has a width of pm±0.5?
Answers
Answer:
n = 195
Step-by-step explanation:
What sample size is necessary such that a 98% confidence interval for the mean, using σ = 3, has a width of pm±0.5?
We solve using Margin of error formula
= z × Standard deviation/√n
Margin of error = ± 0.5
Standard deviation = 3
n = ??
z = 2.326
Hence,
±0.5 = 2.326 × 3/√n
Cross Multiply
±0.5 × √n = 6.978
√n = 6.978/±0.5
√n = ±13.956
Square both sides
n = (±13.956)²
n = 194.769936
Approximately = 195 samples
If a new car is valued at $19200 and 8 years later it is valued at $8000, then what is the average rate of change of its value during those 8 years?
Answers
Answer: $1400 / year
Step-by-step explanation:
Let's start by finding the difference in the new car and the price 8 years later:
$19200 - $8000 = $11200
This means the car depreciated by $11200 over 8 years. We divide this by the 8 years:
$11200 / 8 years = $1400.
This means the car changed by an average of $1400 each year.
A rectangle is 18.4 cm long and 16.3 cm wide. What is a) the perimeter of this rectangle and b) the area of this rectangle?
Answers
Answer:
Perimeter = 69.4 cm
Area = 299.92 square cm
Step-by-step explanation:
Given:
length of rectangle (l) = 18.4 cm
Width of rectangle (w) = 16.3 cm
a) Perimeter of rectangle
= 2( l + w)
= 2 ( 18.4+16.3)
= 2 * 34.7
= 69.4 cm
b) Area of rectangle = lw = 18.4*16.3 = 299.92 square cm
where do the labels go ?
Answers
The congruent linear pair angles ∠ADC and ∠BDC indicates that the measure of the angle ∠BDC is half of 180° or m∠BDC = 90°
Please find attached the drawing of the flow chart to prove that the measure of the angle ∠BDC = 90°
What are linear pair angles?Linear pair angles are adjacent angles that share a arm, with the other arm of each angle forming a straight lines. These are adjacent angles that have a sum of 180°.
The completed flow chart can be presented as follows;
The label corresponding to the linear pear theorem is; mADC is supplementary to m∠BDC
The label corresponding to; definition of supplementary angles is the option; mADC + m∠BDC = 180°
The label corresponding to substitution property of equality is the option; 2·m∠BDC = 180°
The label corresponding to division property of equality is the option; m∠BDC = 90°
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PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
Answers
= 20x^2 - 16
(g - f)(x) = (4x - 4) - (5x)
= (-1x) - 4
= -x -4
(g + f)(2) = (4(2) - 4) + (5(2))
= 4 + 10
= 14
What is the range of the data set below?
56, 42, 48, 32, 17, 26, 92
Answers
Answer:
edit: 92-17=75
Step-by-step explanation:
when using range you subtract the highest number with the lowest
NO LINKS PLS AND IF U DON'T KNOW KNOW THE ANSWER THEN DON'T ANSWER PLEASEJavin cuts a block of wood along the red line. When he looks at the newly exposed face, what is the shape of the cross-section? 2 in 3 in 4 in A. A rectangle, 4 inches by 3 inches O B. A rectangle, 4 inches by 2 inches C. A square, 2 inches by 2 inches D. A rectangle, 2 inches by 3 inches
Answers
Answer:
4 inches by 3 inches. It should actually be 10 inches by 6 but its not on there.
How can 1% of 800 be used to determine 28% of 800?
Enter your answers in the boxes to correctly complete the statement
Answers
Answer:
First box is 8, second box is 224.
Step-by-step explanation: I took the quiz.
Answer:
Give the other person branliest they are right
Step-by-step explanation:
-x+2=-5x+38" what is x
Answers
Answer:
Step-by-step explanation:
60 rows · X, or x, is the twenty-fourth and third-to-last letter in the Latin alphabet, used in the modern English alphabet, the alphabets of other .
$200 is deposited in a bank account. The
interest is compounded annually at a rate of
6%. How much money is in the account after
5 years, to the nearest dollar?
Answers
Answer:
268
Step-by-step explanation:
a = principal ( 1 + interest/rate ) ^ years
a = 200 ( 1 + 0.06/1 ) ^ 5
a = 267.645..
a = 268
Who knows how to do this
Answers
Answer:
144 \( {cm}^{2} \)Step-by-step explanation:
Given,
As we know that the all sides of the square are equal.
Length of a square paper = 12 cm
Area of square = ?
Now, let's find the area of square
\( = {l}^{2} \)
plugging the value of length,
\( {(12)}^{2} \)
Evaluate the power
\( = 144\) square cm
Hope this helps...
Best regards!!
Two sides of a triangle have lengths 43 and 67. The angle included between these sides measures 27degrees°. To the nearest hundreth, what is the length of the third side?
Answers
The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.
1. We have a triangle with two known side lengths: 43 and 67 units.
2. The angle included between these sides measures 27 degrees.
3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.
4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).
5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.
6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.
7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.
8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.
9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.
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Gildong decided to save 20,000 won a week. He saved for 15 weeks and then for 15 weeks he spent 20,000 won a week on eating Maratang. Write an absolute-value function to represent the amount of money Gildong had in savings.
Answers
Answer:
Step-by-step explanation:
Let's start by defining a coordinate system where the horizontal axis represents the number of weeks that Gildong has been saving (and spending), and the vertical axis represents the amount of money he has in savings.
During the first 15 weeks, Gildong saved 20,000 won per week, so his savings increased linearly from week 0 to week 15. We can represent this with the equation:
y = 20,000x
where x is the number of weeks since the beginning (x = 0 corresponds to the start of the saving period) and y is the amount of money Gildong has saved after x weeks.
During the next 15 weeks, Gildong spent 20,000 won per week on eating Maratang, so his savings decreased linearly from week 15 to week 30. We can represent this with the equation:
y = -20,000(x - 15) + 20,000(15)
where x is the number of weeks since the beginning (x = 15 corresponds to the start of the spending period) and y is the amount of money Gildong has saved after x weeks.
To represent the total amount of money Gildong had in savings at any given time, we can combine the two equations above using an absolute value:
y = |20,000x| - 20,000(x - 15)
where x is the number of weeks since the beginning, and y is the amount of money Gildong has in savings after x weeks.
This function represents the absolute value of the difference between the amount of money Gildong has saved and the amount of money he has spent on Maratang, taking into account the fact that his savings increased linearly during the first 15 weeks and decreased linearly during the next 15 weeks.
6) Mrs. Kalinowski bought a new bag for $54. After tax, the total came to $58.59. What was the sales taxrate on the bag?
Answers
The cost of the bag = $54
Total cost after sales tax = $58.59
The formula relating the sales tax rate and total cost is given as:
\(\text{Total cost after tax = cost (1 + tax rate)}\)\(\begin{gathered} 58.59\text{ = }54.59\text{ (1 + tax rate)} \\ \text{divide both sides by }54.59\colon \\ \frac{58.59}{54}\text{ = }\frac{54\text{ (1 + tax rate)}}{54} \end{gathered}\)\(\begin{gathered} \frac{58.59}{54}\text{ = (1 + tax rate)} \\ 1.08500\text{ = 1 + tax rate} \\ \text{subtract 1 from both sides:} \\ 1.08500\text{ - 1 = tax rate} \end{gathered}\)\(\begin{gathered} 0.08500\text{ = tax rate} \\ sales\text{ tax rate = 0.085} \\ \\ In\text{ percentage = 0.085 }\times\text{ 100\%} \\ \text{ sales tax rate on the bag = 8.5\%} \end{gathered}\)A congressman wants to measure the level of support in his district for campaign finance reform and determine if there is a gender gap among voters with respect to this issue. One aid suggests that they find separate confidence intervals for the percent of men and the percent of women who favor reform and then see if the intervals overlap. Another aid suggests that they find a confidence interval for the difference in the proportions of men and women who favor reform. The question is: Is there a gender gap
Answers
Answer:
Campaign Finance Reform
Gender Gap among Voters in the District
There is a gender gap among women and men who favor campaign finance reform.
Step-by-step explanation:
In issues such as the above, a gender gap always exist between women and men who think that there is the need to reform the campaign finance. Women ordinarily favor a reduction in the campaign finance. On the other hand, men do not mind so much about the candidate expenditure in campaigns. Reducing the huge campaign finance will ensure that political campaigns and aspiration to political offices are not left to money bags. Many women would like to get involved, but they are limited by funding. So, anytime the issue of reforming the whole electoral system, especially with respect to campaigns, women favor the reforms more than men. The gap is always there. The main issue is how would this gap be measured?
lol I am stumped and I don’t know where to start
Answers
Answer: 130
Step-by-step explanation:
Scale factor = BY / TY = 72 / 45 = 1.6
So the perimeter of TZY is 208/1.6 = 130
The number of salespeople assigned to work during a shift is apportioned based on the average number of customers during that shift. Apportion 16 salespeople using Jefferson's method given the information below.
Shift Morning Midday Afternoon Evening
Average number of customers 125 280 460 560
Salespeople to assign
What modified divisor did you use?
Answers
a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:
Shift Morning Midday Afternoon Evening Total
Number of
salespeople assigned 1 3 5 7 16
b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.
What is the standard divisor?The standard divisor shows the ratio of the total population to the number of seats.
The standard divisor gives an insight about the number of people each seat represents.
Standard divisor = Total number of customers / Total number of salespeople
The total number of customers = 1,425
The number of salespeople = 16
a) Standard divisor = 1,425 ÷ 16
= 89.0625
Shift Morning Midday Afternoon Evening Total
Average number of
customers 125 280 460 560 1,425
Standard divisor 89.0625 89.0625 89.0625 89.0625
b) Modified divisor 1.4035 3.1438 5.165 6.288
Number of
salespeople assigned 1 3 5 7 16
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Find the first five terms of the following sequence, starting with n=1.
Answers
Answer:
-2,1,6,13,22
Step-by-step explanation:
cn = n^2 -3
Let n=1
c1 = 1^2 -3 = 1-3 = -2
Let n=2
c2 = 2^2 -3 = 4-3 = 1
Let n=3
c3 = 3^2 -3 = 9-3 = 6
Let n=4
c4 = 4^2 -3 = 16-3 = 13
Let n=5
c5 = 5^2 -3 = 25-3 = 22
What are the slope and y-intercept of the equation 2x - 5y = -10?
Answers
Answer:
Step-by-step explanation:
y=2/5x+2
x= 5/2y-5
hopefully this works
Use a calculator to solve the following equation for θ on the interval (−π/2,π/2).
tan(θ)=3.804
Round to three decimal places.
θ=? Radians
Answers
the solution for \(\theta\) on the interval \((-\pi/2,\pi/2)\) is approximately \(1.305\)radians.
What is interval?An interval is a set of real numbers that includes all the numbers between two endpoints. The endpoints can be included or excluded from the interval, depending on whether square brackets or parentheses are used to define the interval.
The equation is:
\(tan(\theta) = 3.804\)
To solve for θ, we can use the inverse tangent function (also known as arctan or tan^-1) on both sides of the equation:
\(\theta = tan^-1(3.804)\)
Using a calculator, we can evaluate this expression and get:
\(\theta \approx 1.305\) radians (rounded to three decimal places)
Therefore, the solution for \(\theta\) on the interval \((-\pi/2,\pi/2)\) is approximately \(1.305\)radians.
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help me.............
Answers
Answer:
is there a right angle?
Step-by-step explanation:
2u = u + 43
u = 43?
A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4}
{5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18}
{5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13}
{3, 5, 10, 11, 13, 7, 18, 14, 4}
Answers
The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)
The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.
The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.
Therefore, the data set that is represented in the histogram is:
{3, 7, 4}
None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)
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A rectangle is 2 4/5 meters wide and 3 1/2 meters
long. What is its area?
Answers
Answer: Area = l × w
= 3.5 × 2.8
= 9.8 meters2
Step-by-step explanation:
A certain number was increased in the ratio 8:5 and becomes 768. What is
the number?
Answers
The number gotten from the ratio of the numbers is 3832.
What is the ratio of two numbers?A ratio describes how much of one quantity is desired in relation to another. It is possible to combine and represent the two components in the ratio in their simplest form. When ratios are written in their simplest form, they are simple to grasp and may be spelled out in the same manner that fractions are.
When evaluating the connection between two numbers or quantities, we employ the ratio formula. In general, a: b, which may be interpreted as "a is to b," is used to denote a ratio between two values.
Given that:
\(x + \dfrac{8}{5}=768\)
x + 8 = 768 * 5
x + 8 = 3840
x = 3840 - 8
x = 3832
Therefore, we can conclude that the number is 3832.
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The IRS wants to develop a method for detecting whether or not individuals have overstated their deductions for charitable contributions on their tax returns. To assist in this effort, the IRS supplied data found in the file IRS.xlsx that accompanies this book listing the adjusted gross income (AGI) and charitable contributions for 11 taxpayers whose returns were audited and found to be correct.
Required:
a. Prepare a scatter plot of the data. Does there appear to be a linear relationship between these variables?
b. Develop a simple linear regression model that can be used to predict the level of charitable contributions from a return's AGI. What is the estimated regression equation?
c. Interpret the value of R2.
d. How might the IRS use the regression results to identify returns with unusually high charitable contributions?
Answers
Answer:
ŷ = 195.698X - 6169.941 ;
R² = 0.9224 ; About 92% variation in the value of Charitable contribution can be explained by the best fit line.
Step-by-step explanation:
The excel data:
AGI: (X) :
55
58
63
67
74
78
83
88
92
98
105
Charitable contribution Y:
4200
4800
6329
8017
7400
8600
12290
10406
11820
12090
14675
The scatter plot can b found in the picture attached below.
The estimated regression equation obtained is :
ŷ = 195.698X - 6169.941
Where ;
slope of the regression line = 195.698 ;
Intercept = - 6169.941
The R² value is called the Coefficient of determination which gives the proportion of variation due to the best fit line. Using the Coefficient determination calculator ; R² = 0.9224
About 92% variation in the value of Charitable contribution can be explained by the best fit line.
2x - 2 <4 solve for x
Answers
Answer:
X < 3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
2x - 2 < 4
+2 +2
2x = 6
/2 /2
x = 3
Kallie works at a pet store. Part of her job is to add the correct amount of water conditioner to each fish tank the list below provides information about the number of fish tanks and the amount of water conditioner she uses.
1: there are 12 fish tanks that need water conditioner
2: Each fish tank is filled with 20 quarts of water
3: for every 10 gallon of water, Kallie uses 1 teaspoon of water conditioner
What is the total number of teaspoons of water conditioner kallie will use for all the water in 12 fish tanks?
Answers
Therefore, Kallie will need to use a total of 6 teaspoons of water conditioner for all the water in 12 fish tanks.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign, with the expression on the left being equal to the expression on the right. Equations are used to represent various relationships and situations in mathematics and other fields, and are solved to find the values of variables that make the equation true.
Here,
First, we need to determine the total amount of water in all 12 fish tanks. Since each fish tank is filled with 20 quarts of water, the total amount of water in all 12 fish tanks is:
12 fish tanks * 20 quarts per fish tank = 240 quarts of water
To convert quarts to gallons, we divide by 4 (since there are 4 quarts in a gallon):
240 quarts / 4 quarts per gallon = 60 gallons of water
Now, we can use the given conversion factor to determine how many teaspoons of water conditioner are needed for 60 gallons of water. Since for every 10 gallons of water, Kallie uses 1 teaspoon of water conditioner, for 60 gallons of water, she will use:
60 gallons / 10 gallons per teaspoon = 6 teaspoons of water conditioner
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Given that 4x – 5y = 12 Find y when x = -3 Give your answer as an improper fraction in its simplest form.
Answers
Step-by-step explanation:
4(-3)-5y=12
-12-5y=12
-5y=12+12
-y= 24/5
y= -24/5
y= -4⅕
hope it helps