The statement mentioned in the question is True.
The sample size of a survey is determined by the variability believed to be in the population, the acceptable margin of sample error, and the level of confidence required in estimates of the population values. These elements are important considerations when designing a survey because they help to ensure that the results of the survey are reliable and accurately reflect the characteristics of the population being studied.
To calculate the proper sample size for a survey, you need to first determine the size of the population being studied and the level of precision you want to achieve in your estimates. You also need to consider the level of confidence you want to have in your estimates and the acceptable margin of error for your survey. Once you have all of this information, you can use a sample size calculator or a statistical formula to determine the appropriate sample size for your survey.
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Which statement is true about a nonnegative number and its additive inverse?
A. Their sum is sometimes one.
B. They are on opposite sides of zero on the number line.
C. They are always reciprocals of each other.
D. Their sum is never zero.
Answer:
A. Their sum is sometimes one.
Step-by-step explanation:
please give me a crown if this help you and have a good day
Answer:
It is B because 0 is always the sum
Step-by-step explanation:
Randall graphed the equation y=-2x+3 as follows:
Did Randall correctly graph the equation?
A. Yes he correctly graphed the equation B. No he graphed the line with a slope of 2 instead of -2 C. No, Randall graphed the line with a slope of -1/2 instead of -2 D. No, Randall graphed an x-intercept of (3,0) instead of y-intercept (0,3)
Answer:
C.
Step-by-step explanation:
Hope I could help :)))
A central angle is an angle whose vertex is at center of a circle. Find measure angle ACC
Part 1
\(m\angle AOB=m\angle BOC\)
Part 2
Since \(m\angle AOB=m\angle BOC\) from part 1, we know that since \(m\angle AOB=53^{\circ}\), by the transitive property of equality, \(m\angle BOC=53^{\circ}\).
Part 3
\(m\angle AOC=m\angle AOB+m\angle BOC=53^{\circ}+53^{\circ}=106^{\circ}\)
Juan bought a car for $32,560. He knows the car will decrease in value over time. The function rule fx)= 32,560(0.835), where x is the number of years Juan owned the car, can be used to determine thevalue of the car in any given year. The value of the car in different years is shown in the table below.Year the CarWas PurchasedValue of theCar, f(x)Time (years)Since the CarWasPurchased,0123420092010201120122013$32,560$27,188$22.702$18.956$15,828Which of the following is the approximate value of the car in 2020?
Solution:
Given that Juan bought a car for $32,500, and the function f(x) expressed as
\(\begin{gathered} f(x)=32500(0.835)^x \\ \text{where} \\ x\Rightarrow\text{ number of years} \end{gathered}\)is the value of the car in any given year as shown in the table below:
From the above table, Juan bought the car in 2009.
Thus, to evaluate the approximate value of the car in 2020,
step 1: Evalaute the value of x.
In 2020, the value of x from 2009 will be
\(number\text{ of years betw}een\text{ 2009 and 2020 =11}\)thus,
\(x=11\)step 2: substitute 11 for the value of x into the f(x) function.
thus,
\(\begin{gathered} f(x)=32500(0.835)^x \\ \text{where x=11} \\ \Rightarrow f(x)=32500(0.835)^{11} \\ =4471.308047 \end{gathered}\)Hence, the approximate value of the car in 2020 is
\(\$4480\)The correct option is B.
Please help ASAP, I will give out brainliest if you answer! PQR is reflected over the x- axis. What are the coordinates of Q'? (screenshot posted below!)
Answer:
The first option
solve the linear equation 4x-(2x-1)=x+5+x-6
The linear equation doesn't have a solution.
How to compute the value?The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6
This will be solved thus:
4x - 2x + 1 = x+5+x-6
4x - 2x + 1 = 2x - 1.
2x + 1 = 2x - 1
Collect like terms
2x - 2x = -1 - 1
0 = -2
This illustrates that the equation doesn't have a solution.
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the probability of buying a movie ticket with a popcorn coupon is 0.597 and without a popcorn coupon is 0.403. if you buy 18 movie tickets, we want to know the probability that no more than 13 of the tickets have popcorn coupons
The probability that no more than 13 of the tickets have popcorn coupons is 0.1114.
It is a binomial distribution "DISCRETE probability distribution that encapsulates the likelihood that a value will take one of two independent values when a particular set of conditions is met. The assumptions for the binomial distribution are that each trial has a single possible outcome, each trial has an equal chance of success, and each trial is independent of the others or mutually exclusive ".
Let X the random variable of interest, on this case we now that:
X ∼ Binom( n = 18, p = 0.97)
The probability mass function for the Binomial distribution is given as:
P( X ) = ( ₙCₓ )(p)ˣ( 1 - p )ⁿ⁻ˣ
Where (ₙCₓ) means combinatory and it's given by this formula:
ₙCₓ = n! / ( n - x )! x!
And we want to find this probability:
P( X = 13 )
And using the probability mass function we got:
P( X = 13 ) = ₁₈C₁₃ ( 0.597 )¹³ ( 1 - 0.597 )¹⁸⁻¹³
P( X = 13 ) = 8568 × 0.00122367561 × 0.01062980336
P( X = 13 ) = 0.11144766975
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a. List the first six terms of the arithmetic sequence and identify the common
difference.
a₁ = 7
an = an-1 + 4
b. Find a15-
c. Find the sum of the first 15 terms in the sequence.
Answer:
a1=7
an=an-1+4
a2=a2-1+4
a2=a1+4
a2=7+4
a2=11
a3=a3-1+4
a3=a2=+4
a3=11+4
a3=15
a4=a4-1+4
a4=a3+4
a4=19
a5=23
a6=27
a15=62
The common difference is 4.
The sum is 517.
i will brailly helppppppppppppppppppppppppppppppppp
Answer:
a. 6
b. 0.24
c. 0.46
d. 0.86
five numbers have a mean of 3. four of the numbers are 7,5,2,-4. what is the 5th number?
Answer: The fifth number is 5
Step-by-step explanation:
The graph shows a square root function. Use what you know about domain to select all of the following functions that could be the one graphed f(x) - V-3 0 KG) V-1 f(x)= x+1 Fx) = x3z- 3
Answer:
on ed its the first one and the second one
Answer:
f(x) = \(\sqrt{x - 3}\)
f(x) = \(\sqrt{x - 1}\)
Step-by-step explanation:
Is 5.731 an rational number and integer or whole number
Answer:
Rational numberStep-by-step explanation:
A rational number are number that can be written as the ratio of two integers. Integers are whole numbers and they can be positive or negative including zero.
Looking at the value 5.371, we can write it in fraction form as shown;
5.371 = 5371/1000
Since 5.371 is equivalent to 5371/1000 and 5371/1000 is a ratio of two integers 5371 and 1000 therefore we can conclude that 5.731 is a rational number
Note that decimal numbers are not integers and are not whole numbers.
Find the minimum distance from the point (8, 0, 9) to the plane x - y + z = 4. (Hint: To simplify the computations, minimize the square of the distance.)
Given:A point is (8, 0, 9) and Plane equation is x - y + z = 4. The minimum distance from the point (8, 0, 9) to the plane x - y + z = 4.We know that the shortest distance from a point to a plane is along the perpendicular.
Let the point P(8, 0, 9) and the plane is x - y + z = 4. Then a normal vector n to the plane is given by the coefficients of x, y and z of the plane equation, i.e., n = (1, -1, 1).Therefore, the equation of the plane can be written as (r - a).n = 4, where r = (x, y, z) and a = (0, 0, 4) is any point on the plane.Substituting the values, we have (r - a).n
\(= ((x-8), y, (z-9)).(1, -1, 1) = (x-8) - y + (z-9) = 4So, (x-8) - y + (z-9) = 4x - y + z - 21 = 0\)
Now, the distance from the point P to the plane can be given by:Distance d = |(P - a).n| / |n|where |n| = \(√(1^2 + (-1)^2 + 1^2) = √3Then, d = |(8, 0, 9) - (0, 0, 4)).(1, -1, 1)| / √3= |(8, 0, 5)).(1, -1, 1)| / √3= |8(1) + 0(-1) + 5(1)| / √3= 13 /\)√3 Since the denominator √3 is less than 2, then the numerator is greater than 13*2=26. This means that d > 26. Hence the minimum distance from the point (8, 0, 9) to the plane x - y + z = 4 is greater than 26 or more than 100.
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A zoo has 15 toucans and 60 parrots. What is the ratio of the number of toucans to the
number of parrots at the zoo?
А
A
1:4
B
1:5
с
4:1
D
4:5
Answer:
A, 1:4
Step-by-step explanation:
15:60 simplified:
3:12
1:4
Data on the average size of a soda (in ounces) at all thirty major league baseball parks are as follows:
14, 18, 20, 16, 16, 12, 14, 16, 14, 16, 16, 16, 14, 32, 16, 20, 12, 16, 20, 12, 16, 16, 24, 16, 16, 14, 14, 12, 14, 20.
1. Compute the average and the standard deviation of the data.Presuming the first fifteen are drink sizes in the American League and the last fifteen are drink sizes in the National League.
2. Compute 1) the average and the standard deviation of drink sizes for the American League and 2) the average and the standard deviation for the National League.
1. Average of the entire data set: 15.47 ounces
Standard deviation of the entire data set: 1.51 ounces
2. American League:
Average of drink sizes: 16.8 ounces
Standard deviation of drink sizes: 2.26 ounces
1. Computing the average and standard deviation of the entire data set:
Average = (14 + 18 + 20 + 16 + 16 + 12 + 14 + 16 + 14 + 16 + 16 + 16 + 14 + 32 + 16 + 20 + 12 + 16 + 20 + 12 + 16 + 16 + 24 + 16 + 16 + 14 + 14 + 12 + 14 + 20) / 30
= 464 / 30
≈ 15.47 ounces
Standard deviation = √[((14 - 15.47)² + (18 - 15.47)² + (20 - 15.47)² + ... + (14 - 15.47)²) / 30]
≈ √(68.71 / 30)
≈ √2.29
≈ 1.51 ounces
2. Computing the average and standard deviation for the American League and the National League:
American League:
Average (AL) = (14 + 18 + 20 + 16 + 16 + 12 + 14 + 16 + 14 + 16 + 16 + 16 + 14 + 32 + 16) / 15
= 252 / 15
≈ 16.8 ounces
Standard deviation (AL) = √[((14 - 16.8)² + (18 - 16.8)² + (20 - 16.8)² + ... + (32 - 16.8)²) / 15]
≈ √(76.8 / 15)
≈ √5.12
≈ 2.26 ounces
National League:
Average (NL) = (20 + 12 + 16 + 20 + 12 + 16 + 16 + 14 + 14 + 12 + 14 + 20) / 15
= 200 / 15
≈ 13.33 ounces
Standard deviation (NL) = √[((20 - 13.33)² + (12 - 13.33)² + (16 - 13.33)² + ... + (20 - 13.33)²) / 15]
≈ √(40 / 15)
≈ √2.67
≈ 1.63 ounces
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a bouqet had 5 flowers sold for 25 dollars which is a rate for per flower
Answer:
$5 per flower
Step-by-step explanation:
Compare the same things in the same order. Then simplify.
Dollars/flower
25dollars/5flowers
=25/5
=5/1
=5dollars/1 flower
The "per flower" unit rate is $5 per flower
Answer:
$5 per flower.
Step-by-step explanation:
25 / 5 = 5
for what mileages will company a charge less than company b? use for the number of miles driven, and solve your inequality for .
For the number of miles driven, Company A will charge less than Company B if x<y, where x is the number of miles driven for Company A and y is the number of miles driven for Company B. Therefore, the inequality is x<y.
When comparing two companies for their charges for a specific service, it is necessary to obtain a basic understanding of the charges for each company. You can make use of the inequality operator to check when one company will charge less than the other company.
To use the inequality operator, you'll need to calculate the differences between the two companies for the specific mileage. Let's assume that the mileage is represented by "m" and that the charge for company A is "cA" and the charge for company B is "cB".
If the question only provides specific numerical values for these variables, you can substitute them into the inequality formula. If you're given algebraic expressions, you'll need to simplify them before substituting them into the inequality formula.
The inequality formula for comparing the charges is as follows: cA < cB.
To use this formula, substitute the expression for each variable.
For example: 4m + 20 < 3.5m + 35 Now, you'll need to simplify the inequality by performing algebraic operations on both sides of the inequality. Begin by subtracting 3.5m from both sides of the inequality: 0.5m + 20 < 35.
Next, subtract 20 from both sides of the inequality: 0.5m < 15 Finally, divide both sides of the inequality by 0.5: m < 30
Therefore, Company A will charge less than Company B for any mileage less than 30.
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find the value of given expression
\( \sqrt{22\times 22} \)
Answer:
hello!!
your answer is 22
Step-by-step explanation:
Find the circumference of the circle
Answer:
C
Step-by-step explanation:
the circumference of a circle is
2×pi×r
r being the radius, which is half of the diameter.
in our case
r = 18/2 = 9 mm
so, the circumference is
2×3.14×9 = 18×3.14 = 56.52 mm
ochala bought a music system on hire purchase. He paid a total of sh 5,200 .if he started by paying a deposit of sh 2,300 for how many months did he pay the remaining money if each monthly installment was sh 2,900
An airport shuttle company owns sedans that have a maximum capacity of 3 passengers and vans that have a maximum capacity of 8 passengers. Their 12 vehicles have a combined maximum capacity of 61 passengers. How many vans does the company own
The company owns five vans which is determined by the equation method.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We can set up the following system of equations to represent the given information:
s + v = 12
3s + 8v = 61
where s represents the number of sedans and v represents the number of vans.
We can solve this system of equations using substitution.
First, we can solve the first equation for s:
s = 12 - v
We can substitute this expression for s in the second equation to get:
3(12 - v) + 8v = 61
Solving for v, we get:
36 - 3v + 8v = 61
Combining like terms, we get:
5v = 25
Dividing both sides by 5, we get:
v = 5
Therefore, the company owns 5 vans.
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Rewrite the summation by separating off the final term
we calculate the sum of the terms from ( a_1 ) to ( a_{n-1} ) using the summation symbol, and then add the final term ( a_n ) separately. This separates the final term from the rest of the summation.
To rewrite a summation by separating off the final term, we can express the summation using the summation symbol and then subtract the final term separately.
Here's the rewritten version:
Original summation:
[ sum_{k=1}^{n} a_k ]
Rewritten summation:
[ sum_{k=1}^{n-1} a_k + a_n ]
In the rewritten version, we calculate the sum of the terms from ( a_1 ) to ( a_{n-1} ) using the summation symbol, and then add the final term ( a_n ) separately. This separates the final term from the rest of the summation.
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Rewrite the summation by separating off the final term. ∑
k=1
m+1
k
2
=
∑
k=1
v
k
2
+
9) If point B with coordinates (5, 2) is dilated by a scale factor of 3, what will be the coordinates of the image point B'?
Answer
Option A is correct.
B' (15, 6) is the answer.
Explanation
To dilate a given coordinate (x, y) about the origin by a scale factor of n, we will obtain (nx, ny).
So, for the given coordinate (5, 2), dilating by the scale factor of 3, we will obtain
B (5, 2) = B' (5×3, 2×3) = B' (15, 6)
Hope this Helps!!!
What does the 5 stand for in 8,375,693.1? 5000 5 500
Answer:
5000
Step-by-step explanation:
8,375,693.1
Keep the 5 in that position, and replace all other digits by zeros.
0,005,000.0
Now rewrite the number without the unnecessary zeros.
5,000
The 5 is in the thousands place, so it stands for 5000.
Answer:
5000
Step-by-step explanation:
Hope this helps! Please mark brainlest, if you don't mind.
An equipment rental company charges $40 per day to rent a trench digger. A construction crew rented a trench digger for 6 days and paid 270. Write a linear equation in slope-intercept form that represents the total cost to rent the trench digger as a function of the number of days.
What should x and y equal, what is the y-intercept, and what is the equation
BTW THIS IS 40 POINTS
Answer:
y = 40x + 30Step-by-step explanation:
$40 per day represents the slope
Finding the y-intercept:
270 - 6*40 = 30The function is then:
y = 40x + 30PLSSSSSSSSS HELP ME PLSSS WITH PART A PLSSS
Answer:
hai
Step-by-step explanation:
can i have these, since i help in comments?
-not doggo
Answer:
Try averaging them! Then you will get an answer!
Step-by-step explanation:
:)
Please help !! Confused
Answer:
the answer is 29
Step-by-step explanation:
the whole length /AC/ is 40 so since length /AB/ is 11, therefore length /BC/ is 40-11=29
What is the area of this regular pentagon that has been divided into five congruent triangles?
48 \(cm^{2}\)
120 \(cm^{2}\)
100 \(cm^{2}\)
24 \(cm^{2}\)
Answer:
120 cm^2.
Step-by-step explanation:
The area of one triangle = 1/2 * base * height
= 1/2 * 8 * 6
= 1/2 * 48
= 24 cm^2
So area of the pentagon = 5 * 24
= 120 cm^2.
suppose that column b contains 100 observations of a string variable. which of the following is therefore true?
The fact that column B contains 100 observations of a string variable means that the column has a length of 100, and each value in the column is a string.
If column B contains 100 observations of a string variable, then it is true that the column B has a length of 100. This means that there are 100 different values in the column, each one being a string. A string variable is a type of data that is used to represent text, and can include letters, numbers, and symbols.
In addition, it is also true that each observation in column B is a string. This means that each value in the column is a text value, and not a numerical value. It is important to remember that string variables are used to store text data, while numerical variables are used to store numbers.
Overall, the fact that column B contains 100 observations of a string variable means that the column has a length of 100, and each value in the column is a string.
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what is the value of (x - y) (x - y) if xy = 3 and x2 y2 = 25?
The value of (x - y)(x - y), if xy = 3 and x² + y² = 25, is 19.
A binomial is an expression represented by the sum or a difference of two algebraic terms. Generally, we can express it as a+b. If we square this binomial, (a + b)², it can be expanded into a² + 2ab + b².
xy = 3
x² + y² = 25
Now, (x - y)(x - y) = x² + y² -xy -xy
(x - y)(x - y) = x² + y² -2xy
Now put the values of x² + y² and xy
(x - y)(x - y) = 25 - 2 × 3
(x - y)(x - y) = 25 - 6
(x - y)(x - y) = 19
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60 POINTS! (Reported if incomplete/absent)
Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Answer:
- The neighbor that has the most amount of fence to put up is: Neighbor A.
- The neighbor that has the least amount of fence to put up is: Neighbor C.
Step-by-step explanation:
To calculate the amount of fence that Neighbor A has to put up, you need to add the following distances:
Convert yards to feet (Remember that :
To calculate the amount of fence that Neighbor B has to put up, you need to use the formula for calculate the circumference of a circle:
Where r is the radius.
In this case, the radius is:
Substituting, you get:
To calculate the amount of fence that Neighbor C has to put up, you need to add the following distances:
Therefore, the neighbor that has the most amount of fence to put up is: Neighbor A.
The neighbor that has the least amount of fence to put up is: Neighbor C.
hope this helps btw i just copy and pasted this so its not my work
Answer:
- The neighbor that has the most amount of fence to put up is: Neighbor A.
- The neighbor that has the least amount of fence to put up is: Neighbor C.
Step-by-step explanation: