Answer:
For a mixed number it is 4 40/100 and if you simplify it, it is 4 2/5
Step-by-step explanation: Since the decimal is 2 places then it is in the hundreths place
Answer:
4 2/5
Step-by-step explanation:
what is y=-2(x+1)(x-2) in standard form
\( \leadsto \tt y=-2(x+1)(x-2)\)
\( \\ \\ \)
\( \leadsto \tt y=-2(x {}^{2} - 2x + x - 2)\)
\( \\ \\ \)
\( \leadsto \tt y=-2(x {}^{2} - x - 2)\)
\( \\ \\ \)
\( \leadsto \tt y=-2x {}^{2} + x + 2\)
What value of x makes the equation true? -3x = 18
Answer:
x = -6
Step-by-step explanation:
\(-3x = 18\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{18}{-3}\\\\Simplify\\x=-6\)
Which property of exponents must you apply to the expression p1/2 derive p as the result?
To derive p as the result, we apply the power of a power rule by taking the square root of p.
To derive the value of p from the expression p^(1/2), we need to apply the property of exponents known as the "power of a power" rule.
The power of a power rule states that when we have an exponent raised to another exponent, we can multiply the exponents. In this case, we have p raised to the power of 1/2, which can be written as p^(1/2).
To simplify this expression and derive the value of p, we can rewrite the exponent 1/2 as a square root (√). So, p^(1/2) is equivalent to the square root of p (√p).
Therefore, to derive p as the result, we apply the power of a power rule by taking the square root of p.
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Select an expression equal to 6(4q + 8r)
Answer: B: 24q+48r
Step-by-step explanation: 6(4q+8r)
=(6)(4q+8r)
=(6)(4q)+(6)(8r)
=24q+48r
√175x²y³ simplify radical expression
Answer:
\( \sqrt{175 {x}^{2} {y}^{3} } = \sqrt{175} \sqrt{ {x}^{2} } \sqrt{ {y}^{3} } = \sqrt{25} \sqrt{ {x}^{2} } \sqrt{ {y}^{2} } \sqrt{7} \sqrt{y} = 5xy \sqrt{7y} \)
A study conducted by Norman Hollenberg, professor of medicine at Brigham and Women’s Hospital and Harvard Medical School, involved 27 healthy people aged 18 to 72. Each subject consumed a cocoa beverage containing 900 milligrams of flavonols (a class of flavonoids) daily for five days. Using a finger cuff, blood flow was measured on the first and fifth days of the study. After five days, researchers measured what they called "significant improvement" in blood flow and the function of the cells that line the blood vessels.³³ What flaw in the design of this experiment makes it impossible to say whether the cocoa really caused the improved blood flow? Explain.
There was no control group for comparison answers.
There was no control group to compare the results to change in blood flow could have been caused by something else .
What is meant by blood flow ?The movement of blood through the vessels from arteries to capillaries and then into veins is referred to as blood flow.
There are two blood circulatory systems in the human body, which are linked: The systemic circulation transports blood to organs, tissues, and cells, supplying them with oxygen and other vital substances. The pulmonary circulation is where fresh oxygen enters the bloodstream.
As the heart beats, blood is pumped through a network of blood vessels known as the circulatory system. The vessels are flexible tubes that transport blood to all parts of the body.
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1) make q the subject of the formula 4(q+p)=5+7q
2) Make x the subject of the formula y=2a-bx^2
Answer:
1) \(q = \frac{4p}{3} -\frac{5}{3}\)
2) \(x = \frac{\sqrt{b -y + 2a} }{b}\)
Step-by-step explanation:
1) 4(q + p) = 5 + 7q
Multiply 4(q + p):
4q + 4p = 5 + 7q
4p - 5 = 7q - 4q
4p - 5 = 3q
\(\frac{4p}{3} - \frac{5}{3} = \frac{3q}{3}\)
\(\frac{4p}{3} - \frac{5}{3} = q\) or \(q = \frac{4p}{3} - \frac{5}{3}\)
PLEASE HELP ME WITH THIS PROBLEM!!
Evaluate each expression if x = 2, y = 5, and z = 5?
8. 3z + 4
9. 5x + 2z
10. x² + 5y = 2
Answer: idrek
Step-by-step explanation:..
The effect of the time of day a psychology class is taught on test scores is
being studied in an experiment. The difficulty of test questions has been
identified as an extraneous factor that could also affect test scores. How ca
the difficulty of test questions best be addressed to minimize its effect in th
experiment?
O A. Blocking into groups based on the teacher of the class
O B. Replication of the experiment at different times of the year
O C. Randomization of students in morning and afternoon classes
D. Direct control by requiring every class to take the same test
The correct answer will be option C Randomization of students in morning and afternoon classes.
What is psychology?Psychology is the scientific study of the mind and behavior, according to the American Psychological Association.
The only way to minimize this effect would be through randomization of students in morning and afternoon classes.
Doing so apply the factor of skill from an individual student to either time of day class greatly lessens the overall effect that it has on the results.
This therefore, minimizes the effect it has on the experiment itself, since the same students that have been studying in a certain time of day would be randomized and not have the same environment that they are used to.
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Answer:
Step-by-step explanation:
Direct control by requiring every class to take the same test
A delivery company samples 500 orders and records how many deliveries were early (before quoted delivery date, yes or no). Out of 500 records, 300 of them were delivered early. The company is interested in seeing if they have statistical evidence that they deliver early a majority of the time. a. Write down the null and alternative hypothesis using proper notation. b. What is the estimate of the true proportion of all orders that are delivered early
a) We can express this as: Ha: p > 0.5 where p represents the true proportion of all orders that are delivered early.
b) The estimate of the true proportion of all orders that are delivered early is 0.6 or 60%.
Learn The null hypothesis would be that the company does not deliver early a majority of the time, or in other words, the true proportion of early deliveries is equal to or less than 0.5. We can express this as:
H0: p <= 0.5
The alternative hypothesis would be that the company delivers early a majority of the time, or in other words, the true proportion of early deliveries is greater than 0.5. We can express this as:
Ha: p > 0.5
where p represents the true proportion of all orders that are delivered early.
b.
The estimate of the true proportion of all orders that are delivered early is simply the proportion of early deliveries observed in the sample. From the information given, we know that out of 500 orders sampled, 300 of them were delivered early. Therefore, the sample proportion of early deliveries is:
p-hat = 300 / 500 = 0.6
So the estimate of the true proportion of all orders that are delivered early is 0.6 or 60%.
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Can someone help me?
What's 4/5 of 55?
Answer:
44 is 4/5 out of 55 (44/55 = 4/5)
Step-by-step explanation:
55 can be divided into fifths.
1/5 = 11 or 11/55
11 x 4 = 44
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
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HELP ME SOLVE THIS PLEASE
Answer:
Step-by-step explanation:
n = 3 & k =2
\(3C_{2}=\dfrac{3!}{2!*1!}\\\\=\dfrac{3*2*1}{2*1}\\\\=3\)
Solve the given system of equations using either Gaussian or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION.)â2x+y+2z=9â2yâ3z=â2ây+â2z=â1
The solution to the system of equations is:
x = -2, y = -3, z = 4.
To solve this system of equations using Gaussian or Gauss-Jordan elimination, we will first rewrite the equations in augmented matrix form:
| -2 1 2 | 9 |
| 0 -2 -3 | -2 |
| 0 -1 2 | -1 |
We will use elementary row operations to transform the augmented matrix into row echelon form:
1. Add 1 times row 1 to row 2:
| -2 1 2 | 9 |
| 0 -1 1 | 7 |
| 0 -1 2 | -1 |
2. Add 1 times row 1 to row 3:
| -2 1 2 | 9 |
| 0 -1 1 | 7 |
| 0 0 4 | 16 |
3. Divide row 3 by 4:
| -2 1 2 | 9 |
| 0 -1 1 | 7 |
| 0 0 1 | 4 |
4. Add -2 times row 3 to row 1:
| -2 1 0 | 1 |
| 0 -1 1 | 7 |
| 0 0 1 | 4 |
5. Add -1 times row 3 to row 2:
| -2 1 0 | 1 |
| 0 -1 0 | 3 |
| 0 0 1 | 4 |
6. Add 1 times row 2 to row 1:
| -2 0 0 | 4 |
| 0 -1 0 | 3 |
| 0 0 1 | 4 |
The resulting row echelon form shows that the system of equations has a unique solution. We can now use back substitution to solve for the variables:
- z = 4
- -y = 3, so y = -3
- -2x = 4, so x = -2
Therefore, the solution to the system of equations is:
x = -2, y = -3, z = 4.
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Find the value of 7y+10 given that -2y+8=6
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
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Brittney is 4 years older than Dakota. The variable b stands for Brittney's age. Which expression stands for Dakota's age?
A. 4b
B. 4 - b
C. b + 4
D. b - 4
Increase £200 by 12.5%
Answer:
£225
Step-by-step explanation:
12.5% × £200
>> £25
Since we want to increase £200 by 12.5%, then we will add the increment to the £200 to get;
£200 + £25 = £225
Answer: £25
Step-by-step explanation: Take £200 and multiply by 12.5% and you get £25. I hope this helped!
How do you find the standard deviation for this data set?
Answer:T he standard deviation formula may look confusing, but it will make sense after we break it down. ...
Step 1: Find the mean.
Step 2: For each data point, find the square of its distance to the mean.
Step 3: Sum the values from Step 2.
Step 4: Divide by the number of data points.
Step 5: Take the square root.
Step-by-step explanation:
how many discriminant functions are significant? what is the relative discriminating power of each function in r
To determine the number of significant discriminant functions and their relative discriminating power in a dataset, a discriminant analysis needs to be performed. Discriminant analysis is a statistical technique used to classify objects or individuals into different groups based on a set of predictor variables.
The number of significant discriminant functions is equal to the number of distinct groups or classes in the dataset minus one. Each discriminant function represents a linear combination of the predictor variables that maximally separates the groups or classes.
The relative discriminating power of each discriminant function can be assessed by examining the Wilks' lambda value or the eigenvalues associated with each function. Wilks' lambda represents the proportion of total variance unexplained by each discriminant function. Smaller values of Wilks' lambda indicate higher discriminating power.
To determine the exact number of significant discriminant functions and their relative discriminating power in a specific dataset, the discriminant analysis needs to be performed using statistical software or tools specifically designed for this analysis.
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a 20 gallon tub is being filled with water at a rate of 0.5 gallons per minute. the tub originally had 5 gallons of water in it. what is the range of the fuction that represents the volume iof water in the tub after x minutes
The range of the function that represents the volume if water throughout the tub after x minutes will be "\(5 \leq V(x) \leq 20\)".
According to the question,
V(x) is volume after x minute.
then,
→ \(V(x) = 0.5x+5\)
Volume of bathtub is 20 gallons,
→ \(20=0.5x+5\)
By substracting "5" from both sides of the equation, we get
→ \(20-5=0.5x+5-5\)
→ \(15=0.5x\)
→ \(x = \frac{15}{0.5}\)
→ \(x = 30\ minutes\)
hence,
→ \(5 \leq V(x) \leq 20\)
Thus the above answer is right.
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Of all rectangles with a perimeter of 12 which one has the maximum area
The rectangle maximum area will be A=9 square units with the length=3 and the width=3.
What is area of rectangle?Area is defined as the space occupied by a plane or rectangle having length and width in two dimensional plane.
It is given that the perimeter of rectangle is P=12
So from the formula of perimeter of rectangle
2(L+W)=12
L+W=6
L=6-W
Now the area of rectangle will be
A=LxW
A=(6-W)W
Now for maximum area we will find the derivative and equate to zero.
\(A=(6W-W^2})\)
\(A'=6-2W=0\)
\(W=3\)
\(L=6-W=6-3=3\)
So the area will be
\(A=3\times 3=9 \ square \ units\)
Hence the rectangle maximum area will be A=9 square units with the length=3 and the width=3.
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30% of the tickets sold at a school carnival were early-admission tickets. If the school sold 100 tickets in all, how many early-admission tickets did it sell?
The number of early-admission tickets that it sells is 30.
How to calculate the number of early admission?From the information, 30% of the tickets sold at a school carnival were early-admission tickets and the school sold 100 tickets in all.
Therefore, the number of early admission will be:
= Percentage for early admission × Total number of tickets
= 30% × 100
= 0.3 × 100
= 30
Therefore, there are 30 early admission.
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if 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h, what are the mean and standard deviation of vehicle speed? (round your answers to three decimal places.) mean standard deviation
The mean is 58.319 m/h and the standard deviation is 11.665 m/h of the vehicle speed if 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h.
The mean and standard deviation of the vehicle speed can be calculated by using the formula for z-score.
The z-score of measure X can be given as;
Z = X - μ / σ
In this case, 39.13 m/h is the 5th percentile; therefore when X = 39.13, Z has a p-value of 0.05, hence Z = -1.645
Z = X - μ / σ
-1.645 = (39.13 - μ) / σ
39.13 - μ = -1.645σ
μ = 39.13 + 1.645σ
Additionally, 73.25 m/h is the 90th percentile (100 - 10 = 90), therefore when X = 73.25, Z has a p-value of 0.9, hence Z = 1.28
1.28 = (73.25 - μ) / σ
73.25 - μ = 1.28σ
μ = 73.25 - 1.28σ
We can find the standard deviation by equalling both equations as follows;
39.13 + 1.645σ = 73.25 - 1.28σ
1.645σ + 1.28σ = 73.25 - 39.13
2.925σ = 34.12
σ = 34.12/2.925 = 11.665 m/h
Now the mean can be calculated as follows;
μ = 73.25 - 1.28σ
μ = 73.25 - 1.28(11.665)
μ = 58.319 m/h
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AP Statistics TPS 8.3Q. Which of the following changes to a study would result in a narrower confidence interval?answer choices- increasing the confidence level, increasing the sample size- decreasing the confidence level, decreasing the sample size- increasing the confidence level, decreasing the sample size- decreasing the confidence level, increasing the sample size.
Answer:
Step-by-step explanation:
The correct answer is decreasing the confidence level, increasing the sample size.
A narrower confidence interval means that the range of possible values for the true population parameter is smaller, indicating greater precision in the estimate.
Increasing the sample size will increase the precision of the estimate of the population parameter, thus resulting in a narrower confidence interval.
On the other hand, decreasing the confidence level will also result in a narrower interval. Since the confidence interval represents a range of values that are likely to contain the true population parameter, a lower confidence level means that there is less uncertainty in the estimate of the population parameter, which leads to a narrower interval.
Increasing the sample size and lowering the confidence level are the correct responses.
A narrower confidence interval denotes more accuracy in the estimate because it reduces the range of potential values for the true population parameter.
A narrower confidence interval will be produced by increasing the sample size because it will improve the estimate of the population parameter's precision.
On the other hand, a narrower interval will be produced by lowering the confidence level. A lower confidence level indicates that there is less uncertainty in the estimate of the population parameter, which results in a narrower interval. The confidence interval reflects a range of values that are likely to contain the true population parameter.
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How
do I show significant difference using superscript between these
values? (anova single factor test)
Yes, you can show significant differences using superscripts in an ANOVA (Analysis of Variance) single-factor test.
In an ANOVA test, superscripts are commonly used to indicate significant differences between the means of different groups or treatments.
Typically, letters or symbols are assigned as superscripts to denote which groups have significantly different means. These superscripts are usually presented adjacent to the mean values in tables or figures.
The specific superscripts assigned to the means depend on the statistical analysis software or convention being used. Each group or treatment with a different superscript is considered significantly different from groups with different superscripts. On the other hand, groups with the same superscript are not significantly different from each other.
By including superscripts, you can visually highlight and communicate the significant differences between groups or treatments in an ANOVA single-factor test, making it easier to interpret the results and identify which groups have statistically distinct means.
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Smallest number that has 2,5,7 as its prime numbers?
Answer:
70
Hope this helps
Identify the prime numbers in the following lists. a. 5, 7, 12, 11b. 14, 6, 3c. 31, 17, 9, 15d. 782, 61, 2
a. The prime numbers in this list are 5 and 7. b. There are no prime numbers in this list. c. The prime numbers in this list are 31 and 17. d. The prime numbers in this list are 61 and 2.
a. In the list 5, 7, 12, 11, the prime numbers are 5, 7, and 11. Prime numbers are numbers greater than 1 that have only two factors, 1 and themselves.
b. In the list 14, 6, 3, the prime number is 3. The other numbers have more than two factors, making them not prime.
c. In the list 31, 17, 9, 15, the prime numbers are 31 and 17. The numbers 9 and 15 have more than two factors, so they are not prime.
d. In the list 782, 61, 2, the prime numbers are 61 and 2. Number 2 is the smallest prime number, and 61 has only two factors, 1 and 61. The number 782 has more than two factors, so it is not prime.
To summarize, the prime numbers in each list are: a. 5, 7, 11; b. 3; c. 31, 17; d. 61, 2.
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What is the measure of angle N?
Answer:
47.3 degrees
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
180 - 42.7 - 90 = N
N = 47.3 degrees
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Find the critical value for a 98% confidence interval when the population standard deviation is known and the sample size of n=30 is used ......Round to 3 decimal places
The critical value for a 98% confidence interval with a sample size of n=30 and known standard deviation is 2.756.
When constructing a confidence interval, the critical value represents the number of standard errors above and below the sample mean that encompasses the specified confidence level. A larger confidence level requires a larger critical value, and a larger sample size will generally result in a smaller critical value, assuming that the population standard deviation is known. In this case, with a sample size of 30 and a 98% confidence level, the critical value is calculated to be 2.756, rounded to 3 decimal places.
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Simplify.
Rewrite the expression in the form 4^n
4^8
——
4^3
Answer:
\(4^{5}\)
Step-by-step explanation:
We are given the following expression:
\(\frac{4^{8} }{4^{3} }\)
8 - 3 = 5, so in the form of \(4^{n}\),
\(4^{5}\)
If you need to simplify it further,
\(4^{5}\) becomes 4*4*4*4*4 which is equal to:
1,024