True, Increasing the sample size and decreasing the level of confidence are both ways of obtaining a narrower margin of error for a confidence interval.
How the statement is true?The statement "Increasing the sample size and decreasing the level of confidence are two ways of obtaining a
narrower margin of error for a confidence interval" is true. Here are the steps to explain why:
Recall the formula for the margin of error of a confidence interval:margin of error = z* (standard deviation / square root of sample size)
where z* is the critical value of the standard normal distribution corresponding to the desired level of confidence.
From the formula, we can see that increasing the sample size (denominator) will result in a smaller margin of error, since the margin of error is inversely proportional to the square root of the sample size. This means that as the sample size increases, the margin of error will decrease, and the interval will become narrower.On the other hand, decreasing the level of confidence (numerator) will also result in a smaller margin of error, since the critical value z* becomes smaller as the level of confidence decreases. This means that as the level of confidence decreases, the margin of error will decrease, and the interval will become narrower.
Therefore, increasing the sample size and decreasing the level of confidence are both ways of obtaining a narrower margin of error for a confidence interval.
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Question 3 of 10 Katerina is making picture frames of various widths for 5x7 photos. The diagram below shows what his picture frames look like. The colored rectangle is the frame with a width of 2 inches on all sides, the inner rectangle is the space for the picture. The polynomial expression 4x2 + 242 + 35 will calculate the total area of the frame and picture together for any value of L. What is the leading coefficient of this polynomial expression?
Answer:
leading co-efficent is 4
Bowman Tire Outlet sold a record number of tires last month. One salesperson sold 135 tires, which was 50% of the tires sold in the month. What was the record number of tires sold?
The record number of tires sold last month is 270.
To find the record number of tires sold last month, we can follow these steps:
Let's assume the total number of tires sold in the month as "x."
According to the information provided, one salesperson sold 135 tires, which is 50% of the total tires sold.
We can set up an equation to represent this: 135 = 0.5x.
To solve for "x," we divide both sides of the equation by 0.5: x = 135 / 0.5.
Evaluating the expression, we find that x = 270, which represents the total number of tires sold in the month.
Therefore, the record number of tires sold last month is 270.
Therefore, by determining the sales of one salesperson as a percentage of the total sales and solving the equation, we can find that the record number of tires sold last month was 270.
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Plis help me plis! I need help with this
Answer:
The light blue/greenish one that says T=PV/K or Greeland
Step-by-step explanation:
We can make the equation more simplier by multiplying both sides by P to remove fractions.
It would become VP=KT
The only answer with VP or PV is B, or the T=PV/K
also, to isolate T, divide the VP=KT by K on both sides to isolate T.
VP/K=T
Please provide the answer to the question in the attachment below state why your answer is correct and why all the other answers are incorrect
The right answer is letter B addition property of equality. Because we substitute the values given in order to have the equality and it is a sum.
Letter A is incorrect because it is not a substraction
Letter C is incorrect because Substitution property does not exist.
Letter D is incorrect because Symmetric property does not exist.
A(n) _____ leader is an individual who grows into the leadership role, often out of necessity.
a. appointed
b. autocratic
c. democratic
d. emergent
e. laissez-faire
The correct answer is d. emergent.
An emergent leader is an individual who grows into the leadership role naturally, often due to circumstances or necessity. They are not appointed or assigned to the position of leadership but rather emerge from the group or organization based on their skills, qualities, or actions.
Emergent leaders may possess certain qualities or demonstrate their competence and ability to guide and influence others. They gain recognition and respect from their peers, leading to their emergence as leaders within the group or organization.
This type of leadership often occurs in situations where formal leadership structures may be absent or ineffective, and individuals step up to take charge based on their capabilities and the needs of the group.
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I Need Help Quickly Please And Thank You
Answer:
Step 2: it should be P - 2x, not P + 2x.
Step-by-step explanation:
What is the area of square DEFG?ILL GIVE BRAINLIEST
Answer:
4 sq units
Step-by-step explanation:
2 un x 2 un = 4 sq uints
Use a single digit times a power of 10 to estimate the number 0.000007328.
Question content area bottom
Rounded to the nearest millionth, the number is about
The estimation of 0.000007328 is \(7\times10^{-6\).
What is estimation?Estimation is he ability to guess the amount of anything without actual measurement.
The number (n) is given as:
\(\text{n}=0.000007328\)
Multiply by 1
\(\text{n}=0.000007328\times1\)
The number is to be rounded to the nearest millionth.
So, we substitute \(\frac{1000000}{1000000}\) for 1
\(\text{n}=0.000007328\times1\)
\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)
This becomes
\(\text{n}=7.328\times\dfrac{1}{1000000}\)
Express the fraction as a power of 10
\(\text{n}=7.328\times10^{-6\)
Approximate to a single digit
\(\rightarrow\bold{n=7\times10^{-6}}\)
Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).
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Solve: 7×-4=-8×+8
hurry!
Answer:
x = 4/5
FILLER FILLER FILLER
Which problem could be solved with the expression
5 ×(2+4) ; 6?
Choose 1 answer:
A
Khai, the dog, ate 2 bones on Monday, 4 bones on
Tuesday and 6 bones on Wednesday. On Thursday,
she ate 5 times more bones than the other days
combined. How many bones did Khai eat on
Thursday?
Hayden made 2 bracelets before school and 4 after
school each day for 5 days. Then he split the
bracelets into 6 equal groups. How many bracelets
did Hayden have in each group?
Shadi is building a new back deck. He puts 2 nails
and 4 screws in each board. He did this to 5 boards.
How many total screws and nails did he use?
The given expression '5 × (2 + 4) = 6' can solve the problem (C).
What are expressions?You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.So, 5 × (2 + 4) = 6:
(A) To solve the situation (A), the expression will be:
5(2+4+6)(B) To solve situation (B), the expression will be:
[5(2 + 4)]/6(C) To solve the situation (C), the expression will be:
5 × (2 + 4) = 6Therefore, the given expression '5 × (2 + 4) = 6' can solve the problem (C).
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The correct question is given below;
Which problem could be solved with the expression
5 × (2 + 4) = 6?
Choose 1 answer:
A. Khai, the dog, ate 2 bones on Monday, 4 bones on Tuesday, and 6 bones on Wednesday. On Thursday, she ate 5 times more bones than the other days combined. How many bones did Khai eat on Thursday?
B. Hayden made 2 bracelets before school and 4 after school each day for 5 days. Then he split the bracelets into 6 equal groups. How many bracelets did Hayden have in each group?
C. Shadi is building a new back deck. He puts 2 nails and 4 screws in each board. He did this to 5 boards. How many total screws and nails did he use?
Answer: C. Hayden made 2 bracelets before school and 4 after
school each day for 5 days. Then he split the
bracelets into 6 equal groups. How many bracelets
did Hayden have in each group?
Step-by-step explanation:
Need help.............
Answer:
a: 8.2
b:11.2
A: 37
A pottery factory kept track of the number of broken plates per shipment Number of broken plates Number of shipments 2 376 2 380 6 567 5 737 2 928 964 3 X is the number of broken plates that a randomly chosen shipment had. What is the expected value of X? Write your answer as a decimal.
Answer: The expected value of X is 672.75
Expected value can be calculated using the below formula
\(\begin{gathered} \text{Expected value = }\frac{\Sigma fx}{\Sigma f} \\ \Sigma fx\text{ = 376 x 2 + 380 x 2 + 567 x 6 + 737 x 5 + 928 x 2 + 964 x 3} \\ \Sigma fx\text{ = 752 + 760 + 3, 402 + 3, 685 + 1, 964 + 2, 892} \\ \Sigma fx\text{ = 13, 455} \\ \Sigma f\text{ = 2 + 2 + 6 + 5 + 2 + 3} \\ \Sigma f\text{ = 20} \\ \text{Expected value = }\frac{13,\text{ 455}}{20} \\ \text{Expected value = 672.75} \end{gathered}\)Therefore, the expected value of X is 672.75
Resolve The following equations
1. 6m-5=49
2.5x+7=32
3.9k-11=-38
Answer:
1. m=9
6m-5=49
⬇
6m=49+5
⬇
6m=54
⬇
m=9
Step-by-step explanation:
2. 5x+7=32
⬇
5x=32-7
⬇
5x=25
⬇
x=5
3. 9k-11=-38
⬇
9k=-3+11
⬇
9k=-27
⬇
k=-3
An SRS of size 100 is taken from a population having proportion 0.7 successes. An independent SRS of size 200 is taken from a population having proportion 0.3 successes. The sampling distribution for the difference in sample proportions has what standard deviation?
Answer:
μ = 0.4
Standard deviation σ = 0.0512 (Approx)
Step-by-step explanation:
Given:
Sample size n1 = 100
Sample size n2 = 200
Proportion p1 = 0.7
Proportion p2 = 0.3
Find:
Standard deviation σ
Computation:
μ = p2 - p1
μ = 0.7 - 0.3
μ = 0.4
Standard deviation σ = √p1(1-p1)/n1 + p2(1-p2)/n2
Standard deviation σ = √0.7(1-0.7)/100 + 0.3(1-0.3)/400
Standard deviation σ = √0.0021 + 0.000525
Standard deviation σ = √0.002625
Standard deviation σ = 0.0512 (Approx)
"Two-thirds of a number is
negative 20.
cody was 165 cm 165cm165, start text, c, m, end text tall on the first day of school this year, which was 10 % 10, percent taller than he was on the first day of school last year. how tall was cody on the first day of school last year? cm cm
If Cody was 10 %, percent taller than he was on the first day of school last year then he was 150 cm tall on the first day of school last year.
To find out the height of Cody on the first day of school last year, we need to perform a calculation as follows:
Let's say their height of Cody on the first day of school last year is 'x'.
His height of Cody on the first day of school this year is 165 cm.
Cody is 10% taller than he was on the first day of school last year, so:
165 = x + (10% of x)
Simplifying this equation will give
165 = x + 0.1 x 165
= 1.1xx
= 150
Therefore, Cody was 150 cm tall on the first day of school last year.
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Please help (and explain why the answer is right) i'd appreciate that
Answer:
a is the answer................. :P
Step-by-step explanation:
slope = rise/run
rise=2
run=4
rise/run= .5
and it intercepts y-axis at -5
Verify if
x = -2.5
is a solution to
2x – 7 = 6x + 4
Answer:
x should equal -2.75
Step-by-step explanation:
step 1: 2(-2.75) -7=6(-2.75)+4
step 2: -5.5-7=16.5+4
step 3: -12.5=12.5
What is the population median commute time of the employees of Asons? \( 47.4 \) 45 35 40
The population median commute time of the employees of Asons is 40 minutes.
The median is a measure of central tendency that represents the middle value in a dataset when the data is arranged in ascending or descending order. In this case, the commute times provided are 47.4, 45, 35, and 40 minutes.
To determine the median, we arrange the commute times in ascending order: 35, 40, 45, 47.4. Since there are four values in the dataset, the middle value is the average of the two central values, which are 40 and 45. Taking the average of these two values gives us the median of 40 minutes.
Therefore, the population median commute time of the employees of Asons is 40 minutes, indicating that half of the employees have a commute time of 40 minutes or less, while the other half have a commute time of 40 minutes or more.
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Is this right idek anymore
yep
it just simplifies to 1/7 since 4 and 4 cancel out each other
A small town with a population of 1,200 residents held elections for the position of mayor. Four candidates had announced their candidature for the election. On the day of the election, a local newspaper conducted an exit poll near two polling booths with two groups of 100 residents each. The results are given in the table shown below.
Name Group A Group B
Chris Jones 51 29
Patrick Smith 6 4
Michael Small 30 54
Susan Davis 13 13
Which of the following statements about the data above is true?
A.
The estimated number of residents who would have voted for Michael Small is higher for Group B than Group A.
B.
The estimates for both groups show an equal number of residents would have voted for Michael Small.
C.
The estimated number of residents who would have voted for Susan Davis is higher for Group A than Group B.
D.
The estimated number of residents who would have voted for Michael Small is higher for Group A than Group B.
Answer:
D.
The estimated number of residents who would have voted for Michael Small is higher for Group A than Group B.
Step-by-step explanation:
Which of the following statements is NOT part of the rules for determining significant figures? Non-zero digits at the end of a number are not significant. Trailing zeroes at the end of a number, but before an implied decimal point are ambiguous. Zeroes between two numbers are significant. Zeroes to the left of the first non-zero number are not significant. All of the above statements are part of the rules.
The statement "Zeroes between two numbers are significant" is NOT part of the rules for determining significant figures.
Significant figures are a set of rules used to determine the precision and accuracy of measured or calculated values. They help communicate the degree of certainty in a given number. The rules for determining significant figures include:
1. Non-zero digits are always significant.
2. Trailing zeroes at the end of a number, after an implied decimal point, are significant.
3. Zeroes to the left of the first non-zero digit are not significant; they only serve as placeholders.
4. Trailing zeroes at the end of a number, before an implied decimal point, are ambiguous and should be clarified using scientific notation or by explicitly stating the number of significant figures.
In the provided statements, the one that does not align with the rules is "Zeroes between two numbers are significant." This statement implies that zeroes between non-zero digits would be significant, which is incorrect. Zeros between significant digits are considered placeholders and are not counted as significant figures. Therefore, this statement is not part of the rules for determining significant figures.
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Look at the picture and tell me
Poppy's sister used approximately 3.14 inches more wire per wall hanging than Poppy.
How to find the amount of wire used ?To find the amount of wire used by both Poppy and her sister, we'll calculate the circumference of their respective wall hangings using the formula:
C = 2πr
Since the diameter is twice the radius, we can find her sister's radius as follows:
Poppy's radius = 6.25 inches
Poppy's diameter = 2 * 6.25 = 12.5 inches
Sister's diameter = Poppy's diameter + 1 = 12.5 + 1 = 13.5 inches
Sister's radius = 13.5 / 2 = 6.75 inches
Now, we'll calculate the circumferences using the given value for π:
Poppy's circumference = 2 x 3.14 x 6.25 ≈ 39.25 inches
Sister's circumference = 2 x 3.14 x 6.75 ≈ 42.39 inches
Difference = Sister's circumference - Poppy's circumference
Difference = 42.39 - 39.25 = 3.14 inches
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What is Quadrilaterals and parallelograms
Answer:
Step-by-step explanation:
A quadrilateral is a polygon with four sides. There are many special types of quadrilateral. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel .
If the two triangles are congruent, state how you know. If not, state "not congruent."
1.AAS
2.ASA
3.SSS
4.SAS
5.not congruent
A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
Determine all the singular points of the given differential equation. (x+1)y" – x²y' + 3y = 0
x²y" + 3y' - xy = 0
the singular point for the given differential equation is x = -1.
What is singular points?
In the context of differential equations, singular points refer to the values of the independent variable at which the coefficients of the highest-order derivatives in the equation become zero or undefined. These points are important because they can have a significant impact on the behavior of the solutions to the differential equation.
Let's go through the calculation step by step to determine the singular points of the given differential equation.
The given differential equation is: (x+1)y" - x²y' + 3y = 0
Singular points for (x+1):
To find the singular point for the term (x+1), we set it equal to zero and solve for x:
x + 1 = 0
Solving for x, we subtract 1 from both sides:
x = -1
Therefore, x = -1 is a singular point introduced by the term (x+1).
Singular points for x²:
The term x² is a polynomial function and defined for all real values of x. Therefore, it does not introduce any singular points.
Singular points for 3:
The constant term 3 is a constant function and defined for all real values. Hence, it does not introduce any singular points.
So, the singular point for the given differential equation is x = -1.
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What is the slope of the line represented by the equation y = - 2/3 - 5x?
-5
-2/3
2/3
5
Answer:
The slope is the bit attached to the x:
In this case, it is -5.
Step-by-step explanation:
Answer: -5
just took the quiz
What is the solution set of the inequality?
Answer:
the fourth one is the right one
Find the value of p in the inequality.
three fourths times p plus 8 is greater than or equal to 3
The value of p that we get by solving the inequality given in the question is \(p\geq \frac{-20}{3}\)
The given inequality is
\(\frac{3}{4}p+8\geq 3\)
⇒\(\frac{3}{4}p\geq 3-8\) (subtracting 8 on both sides)
⇒\(3p\geq -5*4\) (multiplying both sides by 4)
⇒\(p\geq \frac{-20}{3}\) (dividing both sides by 3)
⇒\(p\geq -6.667\)
Therefore the value of p must be greater than or equal to -20/3 or -6.667
That is, \(p\geq -6.667\)
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