Sam would have to sample at least 1068 students.
Sam, a statistician at Mathmagic Land University wants to construct a 95% confidence interval with no more than 3% margin of error for the proportion of students who own their own car.
Let us calculate the least number of students he would have to sample. What is the least number of students Sam would have to sample?
Given that the confidence interval is 95% with a margin of error no more than 3%.The margin of error formula is given by Margin of error = Z-value * Standard error.
We know that Z-value for a 95% confidence interval is 1.96. This corresponds to 0.03 of the confidence interval. Hence, we can calculate the standard error as follows:
Standard error = Margin of error / Z-value= 0.03 / 1.96 = 0.0153We know that the standard error formula is given byStandard error = √p(1-p)/n.
Here, we need to find the minimum sample size required to get the least number of students who own their own car, hence the proportion can be assumed to be 0.5 (which will be the maximum value of p).0.0153 = √(0.5 × (1-0.5) )/n
On simplification, we get, n = 1067.55. Hence, Sam would have to sample at least 1068 students to construct a 95% confidence interval with no more than 3% margin of error for the proportion of students who own their own car.
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Find −1/2(−4/5) . Write your answer as a fraction in simplest form.
Answer:0.4 as a decimal,2/5 as a fraction
Step-by-step explanation:
Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
3,158
C.
3,283
D.
-1.18
Answer:
B. 3,158
Step-by-step explanation:
h(x) = -49x − 125
Let x = -67
h(-67) = -49(-67) − 125
=3283-125
= 3158
Answer:
Answer B
Step-by-step explanation:
To find the value of h(-67) for the function h(x) = -49x - 125,
we substitute -67 for x in the function and evaluate it.
h ( - 67 ) = - 49 ( - 67 ) - 125
Now we can simplify the expression:
h ( -67 ) = 3283 - 125
h ( -67 ) = 3158
Can you solve 17+4x<9
Answer:
x<-2
Step-by-step explanation:
17+4x<9
4x<-8
x<-2
The solution is:
↬ x < -2Work/explanation:
Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).
Make sure that all constants are on the right:
\(\bf{4x < 9-17}\)
\(\bf{4x < -8}\)
Divide each side by 4:
\(\bf{x < -2}\)
Hence, x < -2TRUE/FALSE. the percentile rank identifies the percentile of a particular value within a set of data.
The answer is True, the percentile rank identifies the percentile of a particular value within a set of data.
The percentile rank is a measure that identifies the percentage of scores in a distribution that are equal to or lower than a given score. It is calculated by dividing the number of scores that are equal to or lower than the given score by the total number of scores in the distribution, and multiplying the result by 100 to obtain a percentage. The percentile rank can be used to compare individual scores to the rest of the distribution, and can provide useful information about the relative standing of a score within a particular group or population. Therefore, it is true that the percentile rank identifies the percentile of a particular value within a set of data.
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Please help with the problem in the image!
(Dont answer if you don't know it)
Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
We have a parallelogram and a half of circle.
The area of parallelogram are: A=basis*heightThe area of circle are: A=πr², where r is the radius (half of diameter). Thus the half circle have Area equals to:\(A=\frac{\pi r^{2} }{2}\)
Approaching π to 3,14
parallelogram:
b=26
h=13
A=13*26
A=338
Half circle:
r=12
A=(3,14*12²)/2
A=226,08
Total Area of the figure are:A=338+226,08A=564,08A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures of AB and BC by substituting x back into the equation.
Answer:
AB = 9, BC = 15
Step-by-step explanation:
Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C
\(\therefore AC = AB + BC\\
\therefore 24 = x + x + 6\\
\therefore 24 = 2x + 6\\
\therefore 24 - 6 = 2x \\
\therefore 18 = 2x \\
\therefore \: \frac{18}{2} = x \\ \therefore \: x = 9\)
\(\therefore AC = AB + BC\\
\therefore 24 = x + x + 6\\
\therefore 24 = 2x + 6\\
\therefore 24 - 6 = 2x \\
\therefore 18 = 2x \\
\therefore \: \frac{18}{2} = x \\ \therefore \: x = 9 \\ \because \: AB = x \\ \huge \red{ \therefore AB = 9} \\ \\ \because \:BC = x + 6 \\ \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}\)
two parallel lines are cut by a transversal as shown below
Answer:
<5 and <7= 56 degrees
Step-by-step explanation:
for <5: 180-124=56
<7 is equal to <5
Brainliest Plz?
__+(-4)=-1 find the missing value
Answer:
missing values is 3
I hope it's helps you
Solve the problem below in your head.
One of the companies sponsoring Thor "Super High Octane"
Ericsson, the greatest extreme sports athlete ever, has
designed a new motorcycle racing jacket with Thor's picture on
the back. If the company sells the first 30,000 jackets at
$400 a piece, how much money will it take in?
Answer:
Step-by-step explanation:
Ummm keep adding it lol
Plan 2 is a better deal for more than 8 cards purchased
Plan 1 is a better deal for more than 8 cards purchased
Plan 1 is a better deal for more than 5 cards purchased
Plan 2 is a better deal for more than 5 cards purchased
Where the above conditions are given, the correct option is: Plan 1 is a better deal for more than 5 cards purchased.
How is this so?
To determine which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.
Let's calculate the total cost for different numbers of game cards.
For Plan 1 -
- Admission fee - $5 (fixed)
- Cost per game card - $1
For Plan 2 -
- Admission fee - $2.50 (fixed)
- Cost per game card - $1.50
Now, let's compare the total cost for different numbers of game cards -
1. If you purchase 1 game card -
- Plan 1 - $5 (admission fee) + $1 (cost per game card) = $6
- Plan 2 - $2.50 (admission fee) + $1.50 (cost per game card) = $4
2. If you purchase 5 game cards -
- Plan 1 - $5 (admission fee) + $5 (cost for 5 game cards) = $10
- Plan 2 - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10
3. If you purchase 8 game cards -
- Plan 1 - $5 (admission fee) + $8 (cost for 8 game cards) = $13
- Plan 2 - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50
Based on these calculations, we can conclude that -
- Plan 1 is a better deal for more than 5 cards purchased.
- Plan 2 is a better deal for more than 8 cards purchased.
Therefore, the correct option is - Plan 1 is a better deal for more than 5 cards purchased.
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Quadratic function Murder in a Hotel
which object is more likely to be 5kg?
a lamp
a car
a dollar bill
????
Answer:
A dollar bill is to light and the car is two heavy so the car
Step-by-step explanation:
Hope this helps!
Pretty sure a lamp.
A car would be 1000kg, a dollar bill less than 1kg, so most likely a lamp.
PLS ANSWER THIS ASAP
Answer: i think its c
Step-by-step explanation:
Write an expression That represents the weight of an object that weighs 12 pounds and increases by 0.5 pounds per month.
Answer:
y = (0.5 pounds/month)x + 12 pounds
Step-by-step explanation:
Let y be the weight of the object and x the time in months.
y = 12 (pounds) at month 0
y = (0.5 pounds/month)*x is the amount added for each additional month afterwards.
y = (0.5 pounds/month)x + 12 pounds
Convert 8 cubic meters into liters.
Answer:
8000 is the right answer 100%
help pleaseeeeeeeeeeeeeeeee
Answer:
area = 175 cm^2
Step-by-step explanation:
area = base * height
area = 5 cm + 35 cm
area = 175 cm^2
(x-1/3) x (x+2/5) bang 0
Answer:
The Answer: x^2 + x / 15 - 2 / 15
After completing the SAT for her first time, Michelle received a score of 1080. Michelle will be taking the SAT
again in a few months, and she hopes to boost her score by 25%. What score will Michelle be hoping to earn next
time?
Using percentages we know that the next score Michelle is hoping to obtain is 1,350.
What is the percentage?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100.
Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most usually used to denote it.
A% is a number that has neither dimensions nor a defined unit of measurement.
So, we know that:
Michelle received a score of 1080.
Her exam will be retaken in a few months.
She wants to increase her grades by 25%.
Scores Michelle is hoping for:
(1080/100 * 25) + 1080
270 + 1080
1,350
Therefore, using percentages we know that the next score Michelle is hoping to obtain is 1,350.
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8. Find the endpoint of AB given the midpoint, M, and the other endpoint, A.
M(-5.5, 2), A(2.3,-4.6)
Answer: (-13.3, 8.6)
Step-by-step explanation:
First we want to identify which side of the graph A lands on compared to x. We see that A's X value is greater, meaning it is on the right side of M.
We can then start finding the opposite coordinate by finding the distance between the x and y values of A and M. We can do this By subtracting the M values from the A values:
\(x-distance = 2.3-(-5.5) = 7.8\\y-distance = -4.6 - 2 = -6.6\)
We then need to subtract these values from the M coordinate in order to find the coordinate B opposite of A:
\(B-xValue = -5.5 - 7.8 = -13.3\\B-yValue = 2 - (-6.6) = 8.6\)
From this, we can tell our coordinate B has the value: (-13.3, 8.6)
Hope this helps, if you need any clarification please let me know.
Step-by-step explanation:
given 2 points
A (xa, ya)
B (xb, yb)
their midpoint is
M ((xa + xb)/2, (ya + yb)/2)
in our case
A (2.3, - 4.6)
M(-5.5, 2)
so,
-5.5 = (2.3 + xb)/2
-11 = 2.3 + xb
xb = -13.3
2 = (-4.6 + yb)/2
4 = -4.6 + yb
yb = 8.6
so,
B = (-13.3, 8.6)
What is the end behavior of the function f of x equals 3 times the cube root of x?
As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.
The end behavior of \(f\left(x\right)\ =3\sqrt[3]{x}\) is how its value changes as x changes
The end behavior of the function is \(\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:\)
How to determine the end behavior?The function is given as:
\(f\left(x\right)\ =3\sqrt[3]{x}\)
The above function is a cube root function.
A cube root function has the following properties:
As x increases, the function values increasesAs x decreases, the function values decreasesThis means that the end behavior of the function is:
\(\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:\)
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Answer:
The answer is A
Step-by-step explanation:
Had taken the test
A Chevrolet Sonic Hatchback costs $14,825.00 With a 8% down payment, you can have an amortized loan for 6 years at a rate of 4%.
What will the monthly payment be?
How much will the car cost, in total?
How much money will be paid in interest?
The amount of money paid in interest will be $3,292.56
The total amount of money borrowed is $14,825.00 - (8/100) × $14,825.00= $14,825.00 - $1,186.00= $13,639.00. Therefore, the monthly payment can be determined as follows:
Using the formula, Monthly payment = Principal × i (1 + i)n / (1 + i)n - 1
Where i = r / n, r is the rate of interest per year, and n is the number of payments per year,
the monthly payment will be; i = r / n
= 4% / 1
2= 0.00333
n = 6 × 12 = 72.
Thus we have; Monthly payment = $13,639.00 × 0.00333 (1 + 0.00333)72 / (1 + 0.00333)72 - 1
Monthly payment = $222.92
Therefore, the monthly payment will be $222.92Total cost of the car
The total cost of the car will be equal to the amount borrowed plus interest.
Since the amount borrowed is $13,639.00, the total cost can be computed as follows:
Total cost = $13,639.00 + interest
The interest can be calculated using the formula;
I = P × r × nI = $13,639.00 × 0.04 × 6= $3,292.56
Therefore, the total cost will be;
Total cost = $13,639.00 + $3,292.56= $16,931.56
Thus, the total cost of the car is $16,931.56
Therefore, The amount of money paid in interest will be $3,292.56
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Using the digits 0-9 without repeating, fill in each blank to create a true statement.
_(_x-_)=_ _
x =_
Answer:
x=9
if so
10(2x-3)=1,x
x= 9
Step-by-step explanation:
The equation for the given scenario is 2(3x-6)=18 and the solution is 5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
We have to create a true statement using the digits 0-9 without repeating.
Now, the equation is 2(3x-6)=18
Here, 3x-6=9
3x=15
x=5
Hence, the equation for the given scenario is 2(3x-6)=18.
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16. Patrick created a design for a T-shirt with a space theme for his science project.
He drew the image and its dilation on a coordinate plane. What is the scale
factor of the dilation?
The scale factor of a dilation is the ratio between the lengths of corresponding sides of the original and dilated figures. If the length of the top side of the original figure is 5 units and the length of the top side of the dilated figure is 10 units, then the scale factor is 2.
What is scale factor?The scale factor is a number that is used to compare two measurements of the same object or design. It is the ratio between the two measurements, and is used to determine the size difference between the two. Scale factors can be used to scale objects up or down in size.
In other words, the scale factor is the multiplier used to stretch or compress the original figure. In Patrick's case, the scale factor can be determined by comparing the lengths of the corresponding sides of the original and dilated figures. For example, if the length of the top side of the original figure is 5 units and the length of the top side of the dilated figure is 10 units, then the scale factor is 2.
Since the dilation is on a coordinate plane, Patrick can also find the scale factor by comparing the coordinates of the original figure and the dilated figure. For example, if the coordinates of one of the vertices of the original figure are (2, 4) and the coordinates of one of the corresponding vertices of the dilated figure are (4, 8), then the scale factor is 2.
The scale factor of the dilation in Patrick's science project is an important concept and can be found by comparing the lengths of the corresponding sides of the original and dilated figures or by comparing the coordinates of the original and dilated figures.
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The box plots below show attendance at a local movie theater and high school basketball games:
Two box plots are shown. The top one is labeled Movies. Minimum at 130, Q1 at 162, median at 185, Q3 at 195, maximum at 290. The bottom box plot is labeled Basketball games. Minimum at 85, Q1 at 170, median at 200, Q3 at 225, maximum at 230.
Which of the following best describes how to measure the spread of the data? (1 point)
The IQR is a better measure of spread for movies than it is for basketball games.
The standard deviation is the best measurement of spread for games and movies.
The standard deviation is a better measure of spread for movies than it is for basketball games.
The IQR is the best measurement of spread for games and movies.
The correct statement regarding the measures of spread is given as follows:
The IQR is the best measurement of spread for games and movies.
What does a box and whisker plot shows?A box and whisker plot shows the five number summary from a data-set, listed and explained as follows:
The minimum non-outlier value.The 25th percentile is Q1, representing the value which 25% of the data-set is less than and 75% is greater than.The median, which is the middle value of the data-set, the value which 50% of the data-set is less than and 50% is greater than%.The 75th percentile is Q3, representing the value which 75% of the data-set is less than and 25% is greater than.The maximum non-outlier value.The measure of spread from a box and whisker plot is the interquartile range, which is calculated as the difference of the third quartile by the first quartile, as follows:
IQR = Q3 - Q1
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One of Kylie's homework problems is to convert 30 centimeters to feet, given that 2.54 centimeters = 1 inch. Here is her
work:
30 centimeters
2.54 centimeters 12 inches
= 30 x 254x12=914 4 feet
1 inch 1 foot
Which of the following statements is true?
Kylie's conversion is correct
Kylie's conversion is incorrect because she set up the conversion ratios incorrectly.
Kylie's conversion is incorrect because she multiplied incorrectly
Kylie's conversion is incorrect because her conversion ratios are not equivalent to 1.
Answer:
She set up the conversion ratios incorrectly.
Step-by-step explanation:
30 cms
= 30 / 2.54 inches
= 30 / 2.54 / 12feet
= 0.984 feet.
A bouncy ball is dropped such that the height of its first bounce is 4.5 feet and each successive bounce is 73% of the previous bounce's height. What would be the height of the 10th bounce of the ball? Round to the nearest tenth (if necessary).
The height of the 10th bounce of the ball will be 0.6 feet.
What is geometric sequence?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
What is the formula for finding the nth term of geometric sequence?The nth term of the geometric sequence is given by
\(\sf T_n=ar^{n-1}\)
Where,
\(\sf T_n\) is the nth term.r is the common ratioa is the first termAccording to the given question.
During the first bounce, height of the ball from the ground, a = 4.5 feet
And, the each successive bounce is 73% of the previous bounce's height.
So,
During the second bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 10\)
\(=\dfrac{73}{100}(10)\)
\(\sf = 0.73 \times 10\)
\(\sf = 7.3 \ feet\)
During the third bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 7.3\)
\(=\dfrac{73}{100}(7.3)\)
\(\sf = 5.33 \ feet\)
Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...
And the common ratio of the geometric sequence is 0.73
Therefore,
The sixth term of the geometric sequence is given by
\(\sf T_{10}=10(0.73)^{10-1\)
\(\sf T_{10}=10(0.73)^{9\)
\(\sf T_{10}=10(0.059)\)
\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)
Hence, the height of the 10th bounce of the ball will be 0.6 feet.
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Which graph is not a function?
Please help me!!!
Answer:
First one
Step-by-step explanation:
The first is not a function ( the flower-looking one) ...it does not pass the 'vertical line test'
85 POINTS Angie and Kenny play online video games. Angie buys 2 software packages and 3 months of game play. Kenny buys 1 software package and 5 months of game play. Each software package costs $40. If their total cost is $256, what is the cost of one month of game play?
Answer:12$
Step-by-step explanation:
Answer:
$15 Write down some equations that express what you know. A = 2*30 + 3x K = 1*30 + 5x A+K = 210 Substitute the expression for A in the A+K=210 expression 2*30 +3x + K = 210 Now substitute the expression for for K 2*30 + 3x + 1*30 + 5x = 210 Multiply and combine terms 60 + 3x + 30 + 5x = 210 90 + 8x = 210 Subtract 90 from both sides 8x = 120 Divide both sides by 8 x = 120/8 = 15 The cost of one month of game play is $15!!
Step-by-step explanation:
Hope this helps!!
Please mark me brainliest!!
a grocery store stocks 1-gallon cartons of skim milk, 1% milk, 2% milk, and whole milk. a customer is asked to buy 10 gallons of milk. the customer needs to buy at least one carton of each type of milk. how many different ways can the kinds of milk to buy be selected?
Applying combinatorics with repetition, and the condition of at least one type of milk, the customer has 84 different ways to buy 10 cartons of milk. Below I describe the steps for the calculation.
Algoritmo combinatoricsCartonsOfMilk// define variablesDefinir n,fr,r,fn,fnr,CRnr Como Real
fr <- 1
fn <- 1
fnr <- 1
n <- 4 // types of milk
r <- 6 // combinatorial elements (with repetition)
// Factorial of r (fr= r!)Para f<-r Hasta 1 Con Paso -1 Hacer
fr <- fr*f
FinPara
// Factorial of n-1 (fn= (n-1)!)Para f<-n-1 Hasta 1 Con Paso -1 Hacer
fn <- fn*f
FinPara
// Factorial of n+r-1 (fnr= (n+r-1)!)Para f<-n+r-1 Hasta 1 Con Paso -1 Hacer
fnr <- fnr*f
FinPara
// applying the combinatorics with repetition formula (CRnr = (n+r-1)! / r! (n-1)!)CRnr <- fnr/(fr*fn)
// Displaying resultsEscribir '**************'
Escribir 'n+r-1! = ',fnr
Escribir 'r! = ',fr
Escribir '(n-1)! = ',fn
Escribir 'CRnr = ',CRnr
FinAlgoritmo
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