Answers
Answer:
A
Step-by-step explanation:
k=1 ,i THINK
A
Related Questions
In Exercises 6.15 to 6.18, what sample size is needed to give the desired margin of error in estimating a population proportion with the indicated level of confidence?6.15 A margin of error within 25% with 95% confidence. 6.16 A margin of error within +1% with 99% confidence. 6.17 A margin of error within +3% with 90% confidence. We estimate that the population proportion is about 0.3. 6.18 A margin of error within +2% with 95% confidence. An initial small sample has p = 0.78.
Answers
A sample size of 1076 is needed , To calculate the required sample size for estimating a population proportion with a desired margin of error and confidence level, we can use the formula:
n = (\(Z^2\) * p * (1-p)) / \(E^2\)
where:
- n is the required sample size
- Z is the z-score corresponding to the desired confidence level
- p is the estimated population proportion
- E is the desired margin of error
Let's calculate the required sample size for each exercise:
6.15: Margin of error within 25% with 95% confidence.
E = 0.25
Z = 1.96 (corresponding to 95% confidence level)
p is not given, so we can assume a worst-case scenario where p = 0.5 (maximum variability).
Substituting these values into the formula:
n = (1.96^2 * 0.5 * (1-0.5)) / 0.25^2
n ≈ 384.16
Rounding up to the nearest whole number:
n = 385
Therefore, a sample size of 385 is needed.
6.16: Margin of error within +1% with 99% confidence.
E = 0.01
Z = 2.58 (corresponding to 99% confidence level)
p is not given, so we can assume a worst-case scenario where p = 0.5 (maximum variability).
Substituting these values into the formula:
n = (2.58^2 * 0.5 * (1-0.5)) / 0.01^2
n ≈ 6658.08
Rounding up to the nearest whole number:
n = 6659
Therefore, a sample size of 6659 is needed.
6.17: Margin of error within +3% with 90% confidence.
E = 0.03
Z = 1.645 (corresponding to 90% confidence level)
p = 0.3 (estimated population proportion)
Substituting these values into the formula:
n = (1.645^2 * 0.3 * (1-0.3)) / 0.03^2
n ≈ 317.91
Rounding up to the nearest whole number:
n = 318
Therefore, a sample size of 318 is needed.
6.18: Margin of error within +2% with 95% confidence.
E = 0.02
Z = 1.96 (corresponding to 95% confidence level)
p = 0.78 (estimated population proportion)
Substituting these values into the formula:
n = (1.96^2 * 0.78 * (1-0.78)) / 0.02^2
n ≈ 1075.56
Rounding up to the nearest whole number:
n = 1076
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Factor 2x^2-x-10. Rewrite the trinomial with the x term expanded using 2 factors.Then group the first 2 and last 2 terms together and find the Gcf of each
Trinomial (2x- ___) + (4x-10)
Gcf __ (2x-5) + __ (2x-5)
Answers
Answer:
Trinomial: (2x² – 5x) + (4x – 10)
GCF: x (2x – 5) + 2 (2x – 5)
Step-by-step explanation:
2x² – x – 10
The equation above can be factorised as follow:
2x² – x – 10
Multiply the first term (i.e 2x²) and the last term (i.e –10) together.
2x² × (–10) = –20x²
Find two factors of –20x² such that when we add them together, it will result to the 2nd term in the equation (i.e –x).
The factors are 4x and –5x.
Next, replace –x in the equation above with 4x and –5x. This is illustrated below:
2x² – x – 10
2x² – 5x + 4x – 10
Next, factorise
2x² – 5x + 4x – 10
Trinomial: (2x² – 5x) + (4x – 10)
GCF: x (2x – 5) + 2 (2x – 5)
If two people earn a total of $23, how many people will earn a total of $92
Answers
Answer:
8
Step-by-step explanation:
\( \frac{23}{2} = 11.5\)
\(92 \div 11.5 = 8\)
How do I explain what each of my variables represents for 3-4?, and how do I explain why 5-6 is not a proportional expression
Answers
The classification as proportional relationships or not are;
3) Proportional relationship
4) Proportional relationship
5) Proportional relationship
6) Not Proportional relationship
How to Identify Proportional Relationships?
Proportional relationships are defined as relationships between two variables where their ratios are equivalent.
3) We are told that Ty takes one hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages.
Thus;
Ratio of first period = 35/1 = 35 pages per hour
Ratio of second period = 70/2 = 35 pages per hour
Ratio of third period = 105/3 = 35 pages per hour
All ratios are the same and so it is a proportional relationship
4) There are 12 grams of protein in 2 ounces of almond. This is expressed as; 12/2 = 6 grams per ounces which is a proportional relationship
5) Let us look at the ratio of each coordinate;
Coordinate 1; Ratio = 18/4 = 4.5
Coordinate 2; Ratio = 22.5/5 = 4.5
Coordinate 3; Ratio = 27/6 = 4.5
Coordinate 4; Ratio = 31.5/7 = 4.5
This is a proportional relationship
6) Let us look at the ratio of each coordinate;
Coordinate 1; Ratio = 35/1 = 35
Coordinate 2; Ratio = 80/2 = 40
Coordinate 3; Ratio = 180/3 = 60
Coordinate 4; Ratio = 145/4 = 36.25
This is not a proportional relationship because all the ratios are not the same.
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ill mark brainlist plss help
Answers
Answer:
A) 3.6 in.
Step-by-step explanation:
36/10 = 3.6
Answer:
it's 3.6in because if you take 36 and divide it by that 10 it's 3.6. Which leads to your answer 3.6in.
g(n) = -n+ 3
How do you find the inverse of this equation?
Answers
Let g(n) = y
We then have y = -n + 3.
Exchange y and n.
n = -y + 3
Solve for y.
n - 3 = -y
(n - 3)/(-1) = -y/(-1)
-(n - 3) = y
Replace y with g^(-1) n.
-(n - 3) = g^(-1) n
Job interview: Eight people, named Anna, Bob, Chandra, Darlene, Ed, Frank, Gina, and Hank, will be interviewed for a job. The interviewer will choose two at random to interview on the first day. What is the probability that Frank is interviewed first and Ed is interviewed second
Answers
Answer:
1/64 or 1.5625%
Step-by-step explanation:
To get to the answer shown above, we need to have a basic understanding of how probability works. Let's focus on the first part: "What is the probability that Frank is interviewed first" Since there are 8 people in the interview, that means that 8 people has to be in the denominator. Frank is one person and he represents 1/8th of the entire interviewees. So, the probability that he is chosen first is 1/8. Then, for the second part, we are also asked the probability of both frank being chosen first and Ed being chosen second. Ed is again only one person and thus has a 1/8 probability of being chosen. But, we are not done yet. We need to multiple the probabilities together because they have to happen simultaneously and in order. 1/8*1/8=1/64 or 1.5625%
A researcher wishes to examine the relationship between years of schooling completed and the number of pregnancies in young women. Her research discovers a linear relationship, and the least squares line is: ˆ y = 2 − 4 x where x is the number of years of schooling completed and y is the number of pregnancies. The slope of the regression line can be interpreted in the following way:When amount of schooling increases by one year, the number of pregnancies increases by 2.When amount of schooling increases by one year, the number of pregnancies increases by 4.When amount of schooling increases by one year, the number of pregnancies decreases by 2.When amount of schooling increases by one year, the number of pregnancies decreases by 4
Answers
Therefore, the correct interpretation of the slope is:
"When the amount of schooling increases by one year, the number of pregnancies decreases by 4."
The length of a rectangle if the length is twice the size of the width increased by one
Answers
Answer:
I'm not confident on this but:
L = 2(W + 1)
Hopefully this might help somewhat :]
L: Length
W: Width
FIND THE QUADRATIC FUNCTION DETERMINED BY EACH TABLE
X -2 -1 0 1 2 3
Y 4 0 -2 -2 0 4
Answers
Answer:
x² - x - 2 = 0
Step-by-step explanation:
plotting the graph of x and y,we have that the root of the equation is -1 or 2
x = -1 or 2
the eqn therefore is;
x² - (sum of the root)x + (product of the root) =. 0
x² - (-1+2)x + (-1*2) = 0
x² - x - 2 = 0
Applying the Factor Theorem, it is found that the quadratic function is:
\(p(x) = x^2 - x - 2\)
------------------------
The Factor Theorem states that if a polynomial \(p(x)\) has roots \(x_1, x_2, ..., x_n\), it is described by the following equation:
\(p(x) = a(x - x_1)(x - x_2)...(x - x_n)\)
In which a is the leading coefficient.
For this quadratic function, the roots are \(x_1 = -1, x_2 = 2\), as \(y(-1) = y(2) = 0\), thus:\(p(x) = a(x - (-1))(x - 2)\)
\(p(x) = a(x + 1)(x - 2)\)
\(p(x) = a(x^2 - x - 2)\)
When x = 0, p(x) = -2, and we use this to find a.
\(p(x) = a(x^2 - x - 2)\)
\(-2 = a(0^2 - 0 - 2)\)
\(2a = 2\)
\(a = \frac{2}{2}\)
\(a = 1\)
Thus, the quadratic function is:
\(p(x) = x^2 - x - 2\)
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Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. A trigonometric equation with an infinite number of solutions is an identity.
Answers
False. A trigonometric equation with an infinite number of solutions is not necessarily an identity.
A trigonometric identity is an equation that holds true for all values of the variables involved. It is a fundamental property of trigonometric functions. On the other hand, a trigonometric equation with an infinite number of solutions means that there are multiple values of the variables that satisfy the equation, but it doesn't imply that the equation is true for all values.
For example, the equation sin(x) = 0 has an infinite number of solutions, which are x = 0, π, 2π, 3π, and so on. However, this equation is not an identity because it is not true for all values of x. It is only true when x is an integer multiple of π.
Therefore, it is important to distinguish between trigonometric identities that hold true for all values and trigonometric equations that have an infinite number of solutions but may not be true for all values.
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Simplify (8x - 2) (x -3)
Answers
Answe
8x^2-26x+6
Step-by-step explanation:
3. Kyle starts with $15.00 and saves $3.50
each day. What expression represents
the total amount Kyle saves?
A $3.50
B $15.00
C 3.5t + 15, where t is the number
of days
D 15t + 3.5, where t is the number
of days
Answers
Answer:
C 3.5t + 15, where t is the number
of days
Rodrigo wants to attend University of Texas. One year at University of Texas costs approximately $22,000. He currently has $3,000 in savings. Rodrigo has received a one-time grant for $1,000 and an annual academic scholarship for $5,000. He plans to enroll in the work study program that will pay $8,000 annually for part-time work. How much will Rodrigo need to borrow in student loans in order to attend University of Texas for 4 years?
Answers
well, we know the cost at the University of Texas is $22,000 per year, now for Rodrigo for 4 years that'll be 4(22,000) = 88,000.
So he has 3000 in savings, and 1,000 one-time grant, that's 4000 bucks, let's subtract that from the 88000 and it's just 84000.
Now for the scholarship which is not a one-time deal is every year, he gets 5000 bucks, for 4 years that'll be 4(5000) = 20000, and the work study pays for part-time 8000 every year, for 4 years that'll be 4(8000) = 32000, let's subtract those two amounts from the 84000 needed, that'll be 84000 - 20000 - 32000 = 32000.
So Rodrigo can offset the 88000 by 4000 + 20000 + 32000, leaving only 32000 to be covered by other means, possibly a student loan.
find the inverse f (x) = 8x – 5
Answers
Answer:
Step-by-step explanation:
we will replace f(x) with y
y=8x-5
x=8y-5 we solve for y
8y-5=x
y=x/8 +5/8
f^-1=x/8 +5/8
construct a 45-45-90 degree triangle with leg equal to AB
Answers
The required 45-45-90 degree triangle is shown, where each of the two acute angles is 45 degrees and the length of the hypotenuse is equal to the length of each leg multiplied by the square root of 2.
What is the right-angle triangle?A right-angled triangle, also known as a right triangle, is a triangle in which one of its interior angles measures exactly 90 degrees. The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.
Here,
o construct a 45-45-90 degree triangle with leg AB, we can follow these steps:
The resulting triangle will have sides AB, BC, and AC, where AB and BC are equal in length and AC is the hypotenuse.
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.∠SRT ≅∠LTR m ∠STR =20 m ∠STU =4x
please help me
Answers
Step-by-step explanation:
Since m∠SRT = 20
Therefore, m∠STR = 20
now
m∠STR +m∠STU = 180 ------------(linear pair angles)
I.e.
20 +4x = 180
i.e. 4x = 180-20
i.e. 4x = 160
i.e. x = 160/4
i.e. x = 40
Thus the value of x is 40 degrees.
I've seen so much ppl asking for this answer, Your welcome
Answer:
the answer is 180
I think
(Excel Function)What excel function is used when deciding rejecting or failing to reject the null hypothesis?
Answers
The Excel function used when deciding to reject or fail to reject the null hypothesis is the T.TEST function.
This function is used to calculate the probability of obtaining the observed results or more extreme results, assuming that the null hypothesis is true. If the probability, also known as the p-value, is less than the significance level, typically 0.05, the null hypothesis is rejected, and it is concluded that there is sufficient evidence to support the alternative hypothesis.
Otherwise, if the p-value is greater than the significance level, the null hypothesis is not rejected, and it is concluded that there is not enough evidence to support the alternative hypothesis.
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance (alpha) chosen for the test, typically 0.05 or 0.01, then the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the chosen alpha level, then the null hypothesis is not rejected.
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Find the value of the expression.
7-(-4)=
Answers
Answer:
11
Step-by-step explanation:
When you have a positive number minus a negative number it will automatically turn into addition.
EX.
7-(-4) turns into 7+4
You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is about 0. 11. This means that
a. If each player gets an ace in only 2 of the first 50 deals, then each player should get an ace in more than 11% of the next 50 deals.
b. In a very large number of bridge deals, the percent of deals on which each player has 1 ace will be very close to 11%.
c. In 1 million bridge deals, the number of deals on which each player has 1 ace will be exactly 110,000.
d. In every 100 bridge deals, each player has 1 ace exactly 11 times.
c. In a very large number of bridge deals, the average number of aces in a hand will be very close to 0. 11
Answers
As per the given probability, this means that option (b) In a very large number of bridge deals, the percent of deals on which each player has 1 ace will be very close to 11%.
Probability:
In statistics, it denotes the possibility of the outcome of any random event.
Given,
Here we have given that You read in a book about bridge that the probability that each of the four players is dealt exactly one ace is about 0. 11.
Now, we need to find the meaning of the given probability.
Here We know that, Having one ace 10 or 12 times is likewise quite likely to happen.
And It is feasible to get 109,000 deals with just one ace.
Finally, For very large samples, the probability is always close to the corresponding percent.
Based on these details option (b) is correct.
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function g can be thought of as a scaled version of f(x)=x^2
write the equation for g(x)
Answers
Answer: \(f(x) = (x+5)^{2}\)
Step-by-step explanation:
the graph is shifted 5 units left
\(f(x) = (x+5)^{2}\)
to check, set x + 5 = 0 and your x value equals -5, which correlates on the graph as well.
Answer:
g(x) = x² + 10x + 25
Step-by-step explanation:
Comparing g(x) to f(x) :
It has shifted 5 units leftHence, the equation for g(x) :
g(x) = f(x + 5)g(x) = (x + 5)²g(x) = x² + 10x + 25Use the following information to answer the next five exercises. a hospital is trying to cut down on emergency room wait times. it is interested in the amount of time patients must wait before being called back to be examined. an investigation committee randomly surveyed 70 patients. the sample mean was 1.5 hours with a sample standard deviation of 0.5 hours
Answers
Considering that we have the standard deviation for the sample, the t-distribution should be used to solve this question.
When should the z-distribution and the t-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.In this problem, there is a sample standard deviation of 0.5 hours, hence the t-distribution should be used.
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Find the measure of angle A.
1+ 38
x + 68
A) 30°
C) 26°
B) 35°
D) 60°
Answers
Answer:
b
Step-by-step explanation:
b
A diamond ring was reduced from $999.99 to $299.99. Find the percent decrease in the price. Round the answer to the nearest tenth of a percent.
Answers
Step-by-step explanation:
999.99 × x% = 299.99
999.99÷100 × x = 299.99
9.9999 × x = 299.99
9.9999x = 299.99
D.B.S by 9.9999 to make x the subject
9.9999x÷9.9999 = 299.99÷9.9999
x=29.999299993
To the nearest tenth of a percent, x=30
Therefore, x = 30%
Element X is a radioactive isotope such that its mass decreases by 8% every year. If an experiment starts out with 600 grams of Element X, write a function to represent the mass of the sample after t years, where the monthly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per month, to the nearest hundredth of a percent.
Answers
On solving the provided question we cans ay that the half life of the given exponential growth radioactive isotope will be 3.2894067399 years.
What is exponential growth?The process of quantity growth over time is called exponential growth. occurs when the rate at which a quantity changes instantaneously with time is proportionate to the quantity itself. A data pattern that shows bigger increases with time is known as exponential growth. Compound interest yields exponential rewards in the world of finance. Savings accounts with compound interest sometimes see exponential growth. characterized by an extremely fast exponential growth rate rise (in size or extent). exponentially. The exponential function has the formula f(x)=abx where a and b are positive real values. Sketch exponential functions using the app below for different values of a and b. Describe verbally how modifying a and b changes the graph's form.
Here, Element X starts with 490 grams
After 1 year we have (490 X 0.81 grams) or 396.9 grams
Now, We can solve for half-life by this equation:
Half life = (time X log 2) / log (beginning amount / ending amount)
Half-life = (1 year X 0.30102999566) / log (490 / 396.9)
Half life = (1 year X 0.30102999566) / log (1.2345679012 )
Half life = (0.30102999566) / 0.091514981109
Half-Life = 3.2894067399 years
Thus, the half life of the given exponential growth radioactive isotope will be 3.2894067399 years.
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I NEED HELP I WILL GIVE 100 POINTS FOR IT its a picture 7th grade math
Answers
Answer:I Screenshotted the work its attatched below
Step-by-step explanation:
Answer:
This is it:
Step-by-step explanation:
3. Annie bought a skirt that was originally priced at $32, but she had a coupon for 35% off.
a.
How much money did she spend?
Answers
Answer:
$20.8
Step-by-step explanation:
Let's see how much she would have payed if it was 99% off
32 / 100 = 0.32
0.32 * 35 = 11.2
32 - 11.2 = $20.8
ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘᴇᴅ!
ʜᴀᴠᴇ ᴀ ɴɪᴄᴇ ᴅᴀʏ!
Answer:
Step-by-step explanation:
assume that a procedure yields a geometric distribution where the probability of success is 90%. use the geometric probability formula to find the probability that the first success occurs on the second trial.
0%
4%
5%
9%
Answers
The final answer is 9 percent
Solve the following automotive-services problem.
Voltage: 120 v
Current: 50 amps
Resistance:
Answers
The resistance of the automotive service is 2.4 ohms
How to determine the resistance?From the question, we have the following parameters that can be used in our computation:
Voltage: 120 v
Current: 50 amps
Rewrite properly as
V = 120 volts
I= 50 Amps
The value of the resistance can be calculated using the following voltage equation
V = IR
Where R is the resistance
Male R the subject
R = V/I
Substitute the known values in the above equation, so, we have the following representation
R = 120/50
Evaluate
R = 2.4 ohms
Hence, the value of R is 2.4 ohms
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Write an equation in point-slope form of the line that passes through the point (3, -4) with slope 1.
Answers
Answer:
y=x-7
Step-by-step explanation:
1) First, plug in 3 as x, -4 as y, and 1 as m to y=mx+b, you now have -4=1(3)+b
2) subtract 3 from both sides to get-7 on the other side and you have just solved for b in your equation.
3) enjoy the answer.