Answer:
12 es el factor común más grande
Step-by-step explanation:
An HR manager would like to test the hypothesis that the proportion of agenda-less meetings is more than 45%. Based on the information below, choose the correct conclusion for this hypothesis test. To test this, he randomly selected minutes from 100 past meeting, and found that 65 of them had no agenda. The following is the setup for this hypothesis test: H0:p=0.45 Ha:p>0.45 The p-value for this hypothesis test is 0.025. At the 5% significance level, should he reject or fail to reject the null hypothesis? Select the correct answer below: Reject the null hypothesis because 0.45>0.05. Fail to reject the null hypothesis because 0.45>0.05. Reject the null hypothesis because the p-value =0.025 is less than the significance level α=0.05. Fail to reject the null hypothesis because the p-value =0.025 is less than the significance level α=0.05.
Answer: Reject the null hypothesis because the p-value =0.025 is less than the significance level α=0.05.
Step-by-step explanation: Trust me
A company that sells paper has a tiered pricing model based on how much paper you buy. If you buy less than 10 reams, they charge you $7 per ream and a shipping cost of $8. If you buy 10 or more reams but less than 20 reams, they charge you $6 per ream and a shipping cost of $16. If you buy 20 or more reams, they charge you $6 per ream and shipping is free.
a. Write a function that models the price in terms of the number of reams bought.
b. What is the domain of the function?
c. What is the range of the function?
d. How much will it cost to buy 25 reams of paper?
f. How much paper can you buy for $60?
The function can be defined as price = 6x
It will cost $150 to buy 25 reams of paper.
How to explain the functionThe domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.
The range of the function is all non-negative real numbers, since the price cannot be negative.
Fir 25 items, price = 6(25) = $150
It will cost $150 to buy 25 reams of paper.
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Which expression represents the distance between 1.8 and 9.4 on the number line?
Drag and drop the correct expression into the box.
Answer:
|9.4-1.8|
Step-by-step explanation:
To find distance, you take the largest value minus the smallest value and then take the absolute value of that because distance can't be negative.
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞).
The statement that is true about the function is:
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).What is the function of a graph?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given:
The minimum value of the curve = (1.9, -5.7),
The maximum value = (0, 2)
The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)
The point the function crosses the y-axis (the y-intercept) = (0, 2)
The given points can be plotted using MS Excel, from which we have:
F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.
Hence, the correct option is A.
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If a_1=3a 1 =3 and a_n=(a_{n-1})^2+4a n =(a n−1 ) 2 +4 then find the value of a_4a 4 .
The fourth term a₄ of the sequence is 29933
How to determine the value of a₄ of the sequence?From the question, we have the following definition of the function that can be used in our computation:
a₁= 3
aₙ = (aₙ₋₁)² + 4
The above definitions imply that we simply square the previous term and then add 4 to the squared result to get the current term
Using the above as a guide,
so, we have the following representation
a₂ = (3)² + 4
a₂ = 13
Also, we have
a₃ = (13)² + 4
a₃ = 173
Lastly, we have
a₄ = (173)² + 4
Evaluate the equation
a₄ = 29933
Hence, the value of a₄ is 29933
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If 3 out of 10 mammalian cell cultures exposed to ultraviolet (UV) radiation developed chromosomal abnormalities while 9 out of 10 mammalian cell cultures developed chromosomal abnormalities when exposed to UV radiation plus a common NSAID (nonsteroidal anti-inflammatory drug).
a. What is the type of study design?
b. Which parameter (s) can be determined? Calculate it.
c. Explain the results.
Answer:
a) Observational Study
b) Risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk when exposed to a common NSAID is 3 out of 10 people
Step-by-step explanation:
A) This is observational study
b) The parameter determined here is the risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk of mammalian cell to develop chromosomal abnormalities when exposed to a common NSAID is 3 out of 10 people
Solve the question below:
Answer:
x = 15
Step-by-step explanation:
3x+1+4x-3 = 103
7x = 105
x = 15
What is the distance between (1,7) and (9,1)
Answer:
10
Step-by-step explanation:
Given two points we can use the distance formula to calculate the distance between the two points.
Formula:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Where the x and y values are derived from the given points.
we are given the points (1,7) and (9,1)
To find the distance we plug in the x and y values of the points into the formula
\(d=\sqrt{(9-1)^2+(1-7)^2} \\9-1=8\\1-7=-6\\d=\sqrt{8^2+(-6)^2} \\8^2=64\\-6^2=36\\d=\sqrt{64+36} \\64+36=100\\\sqrt{100} =10\\d=10\)
So we can conclude that the distance between the points (1,7) and (9,1) is 10 units
A rectangular field with perimeter of 80m is to have an area of at least 380m² . Describe the possible lengths and of the field.
\(let \: x \: be \: the \: length \\ let \: y \: be \: the \: width\)
\(perimeter = 2x + 2y \\ area = xy\)
\(2x + 2y = 80 \\ xy = 380 \\ \\ x + y = 40 \\ xy = 380 \\ \\ x = 40 - y \\ (40 - y)y = 380 \)
\(40y - y {}^{2} = 380 \\ y {}^{2} - 40y + 380 = 0 \\ y {}^{2} - 40y + 400 = 20 \\ (y - 20) {}^{2} = 20 \\ y - 20 =± \sqrt{20} \\ y_{1}=20-√20≈15.52786\\ y_{2}=20+√20≈24.4721\)
1)
On the basis of extensive tests, the yield point of a particular type of mild steel-reinforcing bar is known to be normally distributed with ? = 100. The composition of the bar has been slightly modified, but the modification is not believed to have affected either the normality or the value of ?.
(a) Assuming this to be the case, if a sample of 49 modified bars resulted in a sample average yield point of 8459 lb, compute a 90% CI for the true average yield point of the modified bar. (Round your answers to one decimal place.)
( ? , ? )
(b) How would you modify the interval in part (a) to obtain a confidence level of 98%? (Round your answer to two decimal places.)
2)
An article reported that for a sample of 48 kitchens with gas cooking appliances monitored during a one-week period, the sample mean CO2 level (ppm) was 654.16, and the sample standard deviation was 162.85.
(a) Calculate and interpret a 95% (two-sided) confidence interval for true average CO2 level in the population of all homes from which the sample was selected. (Round your answers to two decimal places.)
( ? , ? )
(b) Suppose the investigators had made a rough guess of 170 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 47 ppm for a confidence level of 95%? (Round your answer up to the nearest whole number.)
1) On the basis of extensive tests, the yield point of a particular type of mild steel-reinforcing bar,
a) 90% CI for the true average yield point of the modified bar is 8459 +/- 23.5
b) 98% CI for the true average yield point of the modified bar is 8459 +/- 23.49
2) An article reported that for a sample of kitchens with gas cooking appliances monitored during a one-week period,
a) 95% (two-sided) confidence interval for true average CO2 level in the population is 654.16 +/- 185.0632
b) Sample size is 12.
What is Confidence Interval ?The confidence interval for the population mean is constructed about the sample mean i.e. sample mean lies at the center of the interval.
1) The yield point of a particular type of mild steel-reinforcing bar is normally distributed with
Sample size,n = 49
Sample mean , X-bar = 8459 lb,
Standard deviations, σ = 100
We have to compute 90% CI for the true average yield point of the modified bar.
α = 1 - 90% = 1- 0.90 = 0.10
a)From Standard Normal Table, the critical value at the Zα/2 = Z₀.₀₅ level of significance is 1.645.
Confidence interval formula ,
X-bar +/- Zα/2(σ /√n)
90% CI for the true average yield point of the modified bar, is
8459 +/- 1.645(100/√49)
=> 8459 +/- 1.645(100/7)
=> 8459 +/- 1.645(14.2857) = 8459 +/- 23.5
b)
Now, we have to compute 98% CI for the true average yield point of the modified bar.
α = 1 - 98% = 1 - 0.98 = 0.02
From Standard Normal Table, the critical value at the Zα/2 = Z₀.₀₁ level of significance is 2.326.
Then, Confidence interval is,
CL = 8459 +/-2.326(100/√49)
= 8459 +/- 1.645( 14.285) = 8459 +/- 23.49
2) An article reported that for a sample of kitchens with gas cooking appliances monitored during a one-week period,
Sample size, n = 48
Sample mean , X-bar= 654.16
standard deviations, σ = 162.85
a) We have to calculate and interpret a 95% (two-sided) confidence interval for true average CO2 level. α = 1 - 0.95 = 0.05 ; α/2 = 0.025
From Standard Normal Table, the critical value at the Zα/2 = Z0.025 level of significance is 1.96
95% (two-sided) confidence interval for true average CO2 level is 654.16 +/- 1.96(654.16 /√48)
= 654.16 +/- 1.96(94.42)
= 654.16 +/- 185.0632
b) The distance between the two ends limits of the interval is known as the width of the interval and it is twice the margin of error.
We have width of the interval = 47 ppm
so, Margin of error , MOE = 94
Significance level, 95%
we have to determine sample size
Margin of error formula is
MOE = Zα/2(σ/√n)
where n is sample size.
94 = 1.96 (162.85/√n)
=> √n = 162.85 × 1.96/94 = 3.39559574468
=> n = 11.53 ~ 12
Hence, sample size is 12..
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A 2-yard piece of copper wire costs $26.16. What is the price per foot?
Answer:
$4.36
Step-by-step explanation:
there are 6 ft in 2 yards so you divide 26.16 by 6 which is 4.36
It is $4.36 for a foot of copper wire.
Can someone help me please
Answer:
\(y = - \frac{2}{3} x + 7\)
You get this equation when you plug in the values to find out the y intercept.
The vector v = (6,x) has a magnitude of 10. What could be the value of x?A. 4B. 6C. 8D. 10Please show how to get answer, if you can.
C. 8
1) Given that the magnitude or the norm of that vector is 10. Let's find the unknown coordinate
2) Let's start on that sketch. Plugging into the norm notation the value of the magnitude:
And continue down
x²=100-36
x²=64
x= 8
So the vector v <6,8> has a magnitude of 10.
give a time where you confused correlation and causation
Answer: A
Step-by-step explanation:
In math
Write the result of each math operation in decimal and HEX form. Assume numbers are represented as an unsigned byte.
A. 20-33
B. 89+55
C. 100-200
The results of 20-33 in decimal and hex form are -13 and 0xF3, 89+55 are 144 and 0x90, and 100-200 are -100 and 0x9C.
A. 20-33
Decimal: -13
Hex: 0xF3
Formula and Calculation:
20 - 33 = 20 + (-33)
20 + (-33) = -13
In decimal, -13 = -13. In hex, -13 = 0xF3.
B. 89+55
Decimal: 144
Hex: 0x90
Formula and Calculation:
89 + 55 = 89 + (55)
89 + (55) = 144
In decimal, 144 = 144. In hex, 144 = 0x90.
C. 100-200
Decimal: -100
Hex: 0x9C
Formula and Calculation:
100 - 200 = 100 + (-200)
100 + (-200) = -100
In decimal, -100 = -100. In hex, -100 = 0x9C.
The results of 20-33 in decimal and hex form are -13 and 0xF3, 89+55 are 144 and 0x90, and 100-200 are -100 and 0x9C.
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an art gallery is selling replicas of some famous art work. a copy of the art work is dilated by a scale factor of 1/3 to create a replica of the original piece. if the area of some original artwork was 12 square feet what will be the area of the replica?
Answer:
4/3 square feet.
Step-by-step explanation:
To find the area of the replica, you need to use a formula that relates the area of the original figure and the area of the dilated figure by the scale factor1. The formula is:
Area of dilated figure = Area of original figure x (Scale factor)^2
In this case, the area of the original artwork is 12 square feet and the scale factor is 1/3. So, we plug these values into the formula and get:
Area of replica = 12 x (1/3)^2
Area of replica = 12 x 1/9
Area of replica = 4/3
So, the area of the replica is 4/3 square feet.
Hope this helps :)
When does a negative exponent not move the base to the denominator
Answer:
If the base and the negative exponent is in the denominator already
Step-by-step explanation:
Normally, a base with a negative exponent moves to the denominator.
Example: (2^-3 = 1 / (2)^3 = 1/8)
However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.
Example: 2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54
1) A recipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water. Look at each drink mix. Does each drink mix
follow the recipe?
Yes
No
A 4 cups of fruit juice and 10 cups of water
Yes
No
B 0.5 cup of fruit juice and 1 cup of water
Yes
No
с
1 cup of fruit juice and 2.5 cups of water
Yes
No
D
7 cups of fruit juice and 17 cups of water
Answer:
yes, no , yes, no in order
Step-by-step explanation:
Use Pascal's Triangle to expand (x^2-3y)^4
Answer
The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.
What is Pascal's triangle?Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.
To expand the given expression (x²-3y)⁴ as per Pascal's triangle:
First, write down the fourth row of Pascal's Triangle as:
1 4 6 4 1
The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,
1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴
Simplify each term,
x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸
Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.
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2 1/8 and 17/8 are reciprocal numbers. True False
Answer:
False
Step-by-step explanation:
If make 2 1/8 into an improper fraction, it will be 17/8. a reciprocal is a flip of a number, so it is false.
Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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Choose the algebraic expression that represents the area of a triangle that has a base 8 inches less than 2 times wider than the height.
The algebraic expression for the area is:
A = (2H - 8)*H/2
How to write the algebraic expression?Here we want to write the expression:
"the area of a triangle that has a base 8 inches less than 2 times wider than the height."
Remember that for a triangle of base B and height H, the area is:
A = B*H/2
So if the base is 8 inches less than 2 times the height, we can write:
B = 2*H - 8
Replacing that in the area equation we get:
A = (2H - 8)*H/2
That is the equation for the area.
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HELP MEEEEEEENJEJAHAHAAUUA
a) Battery life for a hand-held computer is normally distrbuted and has a population standard deviation of 3 hours. Suppose you need to estimate a confidence interval estimate at the 95% level of confidence for the mean life of these batteries. Determine the sample size required to have a margin of error of 0.253 hours. Round up to the nearest whole number.
b)The managers of a company are worried about the morale of their employees. In order to determine if a problem in this area exists, they decide to evaluate the attitudes of their employees with a standardized test. They select the Fortunato test of job satisfaction which has a known standard deviation of 24 points. They should sample employees if they want to estimate the mean score of the employees within 5 points with 90% confidence.
c) Suppose a department store wants to estimate the average age of the customers of its contemporary apparel department, correct to within 2 years, with level of confidence equal to 0.95. Management believes that the standard deviation is 8 years. The sample size they should take is .
(a) The required sample size is 1.96.
(b) Sample size = n = 89
(c) Sample size = n = 62
What is standard deviation?
The standard deviation in statistics is a measurement of how much a set of values can vary or be dispersed. A low standard deviation suggests that values are typically close to the set's mean, whereas a high standard deviation suggests that values are dispersed over a wider range.
(a) Population standard deviation = σ = 3
Margin of error = E = 0.253
At 95% confidence level the z is,
α = 1 - 95%
α = 1 - 0.95 = 0.05
α/2 = 0.025
Zα/2 = 1.96
sample size = n = [Zα/2* σ / E]^2
n = [1.96 * 3 / 0.253]2
n = 540.14
Sample size = n = 541
b) Population standard deviation = σ = 24
Margin of error = E = 5
sample size = n = [Zα/2* σ/ E] 2
n = [1.96 * 24 / 5]2
n = 88.51
Sample size = n = 89
c) Population standard deviation = σ = 8
Margin of error = E = 2
sample size = n = [Zα/2* σ / E] 2
n = [1.96 * 8 / 2]2
n = 61.46
Sample size = n = 62
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ssment L 4.10.4 Test (CST): Checking and Savings Question 2 of 25 Gwendolyn has $725,000 she wants to save. If the FDIC insurance limit per depositor, per bank, is $250,000, which of these ways of distributing her money between three banks will guarantee that all of her money is insured? O A. $240,000 in bank A, $240,000 in bank B, $245,000 in bank C B. $220,000 in bank A, $230,000 in bank B, $275,000 in banko C. $240,000 in bank A, $230,000 in bank B, $255,000 in bank C O D. $220,000 in bank A, $250,000 in bank B, $255,000 in bank C SUBLATT
Answer:
$250,000
Step-by-step explanation:
, but it is the only thing I
Answer:
$240,000 in bank a, $240,000 in bank b, $245,000 in bank c
Step-by-step explanation:
ap3xxxx babeyyy
Recall that the absolute value $|a|$ of a number is its distance from zero. For example, $|-3| = 3$ and $|9-7| = |7-9| = 2$.
Enter the letters of the points that are on the graph of $|x| = |y|$.
Answer: H, F, A, E
Step-by-step explanation:
Since we know that |x|=|y|, the coordinates have to be the same (ex. 8,8).
Also, we know that |-a|=|a| and |a|=|a|, so using this, we can look at the graph and determine which coordinates follow these.
A = 3,3 F = -2,-2 (becomes 2,2) E = 6,6 H = 6, -6 (becomes 6,6)
Find an nth-degree polynomial function
n= 3;
- 2 and 6 + 2 i are zeros;
f(-1)= 53
Answer:
Find an nth-degree polynomial function.
Step-by-step explanation:
n= 3;
- 2 and 6 + 2 i are zeros;
f(-1)= 53
Simplify -2 1/6. - (-7 1/3 )
a) -5 1/6
b) -9 3/6
c) 9 3/6
d) 5 1/6
Answer:
d
Step-by-step explanation:
\(-2\frac{1}{6}- (-7\frac{1}{3})=-2\frac{1}{6} + 7\frac{1}{3}\\\\\)
\(=\frac{-13}{6} + \frac{22}{3}\\\\=\frac{-13}{6} + \frac{22*2}{3*2}\\\\=\frac{-13}{6} + \frac{44}{6}\\\\=\frac{-13+44}{6} \\\\= \frac{31}{6}\\\\=5\frac{1}{6}\)
Answer:
pathetic how you comment bs under questions on here and expect the same people to help you answer questions, grow up.
Select all the statements that correctly compare the values?
A. 800 is 10 times as much as 80.
B. 800 is 10 times as much as 8.
C. 80 is 10 times as much as 800.
D. 80 is 10 times as much as 8.
E. 8 is 10 times as much as 90.
Answer:
The answer is A and D
Step-by-step explanation:
Answer:
A and D are true.
Step-by-step explanation:
A) 80 × 10 = 800
B) 8 × 10 = 80, not 800
C) 800 × 10 = 8000, not 80
D) 8 × 10 = 80
E) 90 × 10 = 900, not 8
An auto body shop repaired 22 cars and trucks. There were 8 fewer cars than trucks. How many trucks were repaired. URGENT PLEASE HELP
If an auto body shop repaired 22 cars and trucks and there were 8 fewer cars than trucks, 15 trucks were repaired.
Let's assume the number of trucks repaired is "x". We know that the total number of cars and trucks repaired is 22. Since there were 8 fewer cars than trucks, the number of cars repaired must be x-8. Therefore, we can set up the following equation:
x + (x-8) = 22
Simplifying, we get:
2x - 8 = 22
Adding 8 to both sides:
2x = 30
Dividing by 2:
x = 15
We can check this by plugging x back into the equation and verifying that the number of cars repaired is 7, which is 8 fewer than 15.
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