Answer:
w = 3
Step-by-step explanation:
Raise both sides to the 4th power. This will "undo" the fourth root that is on both sides. See image. Then solve for w. Crossmultiply. Combine the w terms and the numbers. Divide to isolate the variable. See image.
12. What is the value of the following expression when
a = -2 and b = -4?
5(4a3b)+ ab
A-108
B -92
C -12
D12
E 28
Answer:
1st one is b. 2nd one is A
Step-by-step explanation:
i did the quiz
Consider the following sets of sample data:A: $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100B: 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98Step 1 of 2 : For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.
The coefficient of variation for A is 20.37% and for B is 15.98%.
What is coefficient of variation?
In statistics, the relative standard deviation (RSD), commonly referred to as the coefficient of variation formula (CV), is a standardized way to assess how widely spaced out a probability distribution or frequency distribution is. Lower values of the coefficient of variation indicate that the data is highly stable and less variable.
We know that formula for coefficient of variation is
CV = Standard Deviation / Mean
A. $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100
Mean = 411200 / 14
Mean = $29371.42
Similarly,
Standard Deviation = $5984.52
So,
CV = 5984.52 / 29371.42 * 100
CV = 20.37%
B. 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98
Mean = 43.42 / 11
Mean = $3.94
Similarly,
Standard Deviation = $0.63
So,
CV = 0.63 / 3.94 * 100
CV = 15.98%
Hence, the coefficient of variation for A is 20.37% and for B is 15.98%.
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assume total units produced equals total units sold. if the company prepares a gross margin income statement and a contribution margin income statement,
Correct answer to the question is: operating profit will be the same on both statements; marketing and administrative costs will be the same on both statements.
A gross margin income statement focuses on the difference between the cost of goods sold (COGS) and the selling price of the products. It shows the gross profit as a percentage of sales, which can be used to evaluate the company's ability to generate revenue and cover its costs.
Both the gross margin and the contribution margin income statements provide important information to the company, but they offer different perspectives on the company's profitability. The gross margin income statement is useful for evaluating the overall efficiency of the company's sales and production processes, while the contribution margin income statement is useful for evaluating the potential profit from selling additional units.
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The complete question is :
Assume total units produced equals total units sold. If the company prepares a gross margin income statement and a contribution margin income statement, _____.
I need help on this one
Question 5 (2 points)
Bryce is exercising on a stationary bike. He burns 144 calories in 15 min. What's the
number of calories Bryce burns per minute?
8.9 calories/min
9.3 calories/min
9.6 calories/min
9,8 calories/min
Answer:
9.6 calories/min
Step-by-step explanation:
Here Bryce burns 144 calories in 15 mins
Therefore, For each min value you need to:- Divide the Total Number of calories by Total Time Taken
i.e. 144 calories / 15 min = 9.6 calories/min
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How are the mean and median affected when the value 5 is included in the data set belo
6, 9, 4, 3, 9, 3
Answer:
The mean increases and the median changes to 4.
Step-by-step explanation:
To find the mean. You need to add all of the numbers together then divide by how many numbers there are. The median is found by the middle number.
Answer:
5.5 Mean
5 Median
Step-by-step explanation:
6+9+4+3+9+3+5 =5.5
7
The length of YZ is. inches
Answer:
The length of YZ is 14 inches.
Step-by-step explanation:
Given, Raidius of the circle is 7 inches.
The Centre is X.
To Find: The length of YZ is _____ inches.
Solve:
radius is 7 inches
diameter = raidius + raidius
diameter = 7 + 7
diameter = 14 inches.
The Solution is 14.
Note: If p(a) = 0 then (x - a) is a factor of p(x)
given that f(-1), f(-2) are zeros of f(x) find the missing values of these coefficients p, q
f(x) = x³ + px² - qx - 4
After finding the values of the coefficients factor and find the solutions of x1, x2 and x3.
Answer:
Since f(-1) = 0 and f(-2) = 0, we can set up two equations:
(-1)³ + p(-1)² - q(-1) - 4 = 0
(-2)³ + p(-2)² - q(-2) - 4 = 0
Simplifying each equation, we get:
-1 + p - q - 4 = 0
-8 + 4p - 2q - 4 = 0
Simplifying further, we get:
p - q = 5
2p - q = 6
Solving for p and q, we can add the two equations together to eliminate q:
p - q + 2p - q = 5 + 6
3p - 2q = 11
Then, we can substitute the value of q from the first equation into this equation to solve for p:
3p - 2(q + 5) = 11
3p - 2q - 10 = 11
3p - 2q = 21
3p - 2(5 + p) = 21
p - 10 = 7
p = 17
Substituting this value of p into either equation for q, we get:
q = p - 5 = 12
Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:
-1 | 1 17 -12 -4
|__ -1 -16 28
1 1 12
This gives us the factorization:
f(x) = (x + 1)(x² + x + 12)
To find the solutions, we can use the quadratic formula on the quadratic factor:
x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)
x = (-1 ± sqrt(1 - 48)) / 2
x = (-1 ± sqrt(-47)) / 2
x1 = (-1 + i(sqrt(47))) / 2
x2 = (-1 - i(sqrt(47))) / 2
Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.
Step-by-step explanation:
give me thanks for more! your welcome bud!
A car is traveling at a constant speed. It travels 34 miles in 5 minutes.
How many minutes will it take the car to travel 70 miles?
helppppp
Answer:
10.30 or 10 1/6 if this answer is not on the answer choices round to the nearest answer close to this.
Step-by-step explanation:
how to solve.
34/5=6.8 - this is how many miles the car is traveling per minuet.
6.8/70=10.30 - this should be the answer because this is how many minutes it takes the car to travel 70 miles
Find the sales tax for three CDs, if each CD is $14.29 and the sales tax is 7.25%. *
Answer:
$3.11
Step-by-step explanation:
42.87 * 0.0725
3.108075
$3.11 in tax
PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What is the area of this composite figure? Use 3.14 for n. Round to the nearest hundredth. Show your work.
Answer: 24
Step-by-step explanation:
To find the area of the composite figure, we need to find the area of the sector and the area of the triangle and then add them together.
Area of sector = (θ/360) * π * r^2, where θ is the angle of the sector in degrees, r is the radius of the circle.
The angle of the sector can be found by subtracting the angle of the triangle from 360 degrees. The radius of the circle can be found by dividing the length of the arc by the angle of the sector.
Length of the arc = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 4 = 4.19
Radius of the circle = 4.19/60 = 0.07
Angle of sector = 360 - 60 = 300 degrees
Area of sector = (300/360) * 3.14 * 0.07^2 = 0.0041
The area of the triangle can be found using the formula:
Area of triangle = (1/2) * base * height = (1/2) * 8 * 6 = 24
Therefore, the total area of the composite figure is:
0.0041 + 24 = 24.0041
Rounding to the nearest hundredth, the area of the composite figure is approximately 24.00.
What else would need to be congruent to show that AABC= APQR by SSS?
B
A
A. AC = PQ
B. AB BA
C. BC= QR
D. ZAZP
C
Q
P
R
Given:
AC PR
AB=PQ
The condition which satisfy the congruency of the given triangle is
BC≈QR.
What is congruency of triangles?Two triangles are said to be congruent if all the corresponding sides are equal and all the corresponding angles are equal. The symbol of congruency is '≅'
To show that triangle ABC≈triangle PQR by SSS,
In this type of congruency, all the sides of the triangle ABC is equivalent to the all the sides of the triangle PQR.
Given, AC≅PR, AB≅PQ.
The another one condition is BC≅QR.
Hence, the condition which satisfy the congruency of the given triangle is BC≈QR.
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What is .0006 in a percent
Answer:
.06%
Step-by-step explanation:
multiply the number by 100 to get it as a percentage
Answer:
0.0006 = 0.06%
Hope this helps :)
Hope this helps :)Explanation below.
Step-by-step explanation:
To convert a decimal to a percent, move the decimal 2 times to the right.
0.0006 = 0.06%
↑JJ
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?
Answer:
(0,-26)
Step-by-step explanation:
0 -26
17 -39
34 -52
51 -65
68 -78
Help me with answers b and d (WILL GIVE BRAINLY)
Answer:
Step-by-step explanation:
For a, (6 times 2)
For b, (40-15)
For c, (15 divided by 5)
For d, I am not sure
I think there might be a mistake if I am right
If I am right it is (15 divided by 5 plus 3) for d
Please help me the question
The polynomials completely factorized have the following expressions;
50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)
51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)
52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)
53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)
How to factorise the polynomials completelyFor the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;
(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2
x² + 3x + 2 = (x + 1)(x + 2)
so;
x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)
For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;
(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8
x² - 2x - 8 = (x + 2)(x - 4)
so;
x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)
For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;
(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14
x² - 9x + 14 = (x - 2)(x - 7)
so;
x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)
For the polynomial x³ - x² + 21x + 45 divisible by x + 5;
(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9
x² - 6x + 9 = (x - 3)(x - 3)
so;
x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)
Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.
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I GIVE BRAINLILEST \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
Answer:
H
Step-by-step explanation:
85 * 1.08 = 91.8
$91.80
The mean age of 5 people in a room is 37 years.
A person enters the room.
The mean age is now 34.
What is the age of the person who entered the room?
please help me this is hard for me
The age of the person who entered the room is 19
How to determine what is the age of the person who entered the room?The given parameters are:
The mean age of 5 people in a room = 37 years.The mean age of now = 34 years.Mean is calculated as:
Mean = Sum/Count
For the five people, we have
Sum/5 = 37
Multiply by 5
Sum = 185
For the five people, we have
Sum/6 = 34
Multiply by 6
Sum = 204
Let the last person be x
So, we have
x + 185 = 204
Subtract 185
x = 19
Hence, the age of the person who entered the room is 19
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If you have a lot of money, you don’t need insurance. true or fasle
Answer:
it would be false
Step-by-step explanation:
the reason it is false is even though you have lots of money you still arent safe just by having money you need to be protected both on car and your self and other things
PLEASE HELP ME I REALLY NEES HELP
Changes of State
Gas
B
Temperature
Solid
Liquid
A
Thermal Energy
4. Suppose the material is being heated.
a. What change of state is represented by line segment A?
b. What is happening to the average kinetic energy of the particles during the
change of state represented by line segment B? Explain.
c. What physical property does the temperature at point B represent? If the
liquid is kept at this temperature what state of matter will be observed?
Explain your answer.
Answer:
Please find the answer in the explanation
Step-by-step explanation:
Suppose the material is being heated.
a. What change of state is represented by line segment A?
The solid changes to liquid state. The change of state is Melting.
b. What is happening to the average kinetic energy of the particles during the change of state represented by line segment B? The average kinetic energy of the particle increases as the heat is applied but remains constant during the change of state.
c. What physical property does the temperature at point B represent?
Vapourisation.
If the liquid is kept at this temperature what state of matter will be observed?
If the temperature persists, the state of matter that will be observed will be gas. Because the liquid must have turned out to vapour.
he International Average Salary Income Database provides a comparison of average salaries for various professions The data are gathered from publications and reports obtained directly from government agencies (such as the U.S Bureau of Labor Statistics) or from the International Labour Organization. Suppose an industrial/organizational psychologist is interested in the relationships between job satisfaction, job performance, and job compensation. She has data from five different countries on the average monthly salaries paid to computer programmers. She begins her analysis by converting all of the salary data into U.S. dollars: Average Monthly Salary Deviation Original (U.S. dollars) (U.S. dollars) Currency Standard Country Italy Hungary the Czech Republic the United States Latvia $1,557 $1,468 $1,059 $4,141 $790 $467.20 $220.20 $158.80 $1,242.20 $118.60 euro forint koruna dollar lat
The z scores for each Country is Given below.
What is z- score?The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a specific data point deviates from the mean. In essence, standard deviation represents the degree of variability present in a given data collection.
Given:
Country Average monthly Standard deviation Original
salary (U.S. dollars) (U.S. dollars) currency
Czech
Republic $1,059 $158.80 koruna
Latvia $790 $118.60 lat
Hungary $1468 $220.20 forint
Italy $1,557 $467.20 Euro
United States $4,141 $1,242.20 dollar
Now, Calculating the z-scores making $1,500 per month.
The z scores are :
Country Z-Scores
Czech Republic (1500 - 1059)/ 158.8 = 2.77
Latvia (1500 - 790)/ 118.6 =5.98
Hungary (1500 - 1468)/ 220.20=0.145
Italy (1500 - 1557)/ 467.20=-0.12
The United States (1500 - 4141)/ 1242.2 =-2.12
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Suppose a population contains 20,000 people. All else being equal, a study
based on a population sample that includes which of the following numbers
of respondents would be the most reliable?
A. 200
OB. 20
C. 2000
D. 2
A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.
In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.
A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.
Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.
Option A: 200 respondents
This represents only 1% of the population.
While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.
Option B: 20 respondents
This represents only 0.1% of the population.
With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.
Option C: 2000 respondents
This represents 10% of the population.
While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.
The study may provide reasonably reliable results, but there is room for potential sampling error.
Option D: 2 respondents
This represents an extremely small sample size, accounting for only 0.01% of the population.
With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.
Based on the options provided, option C with 2000 respondents would be the most reliable study.
Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.
However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.
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9/4 as an improper fraction?
Answer:
9/4 is already an improper fraction but if u want a proper, it would b 2 1/4
Step-by-step explanation:
3. Find the area of a square if its side length is:
a. 3 inches
b. 40 inches
c. x units
Evaluate the expression ⎪6⎥ ー⎪ー2⎥.
A. ー8
B. 8
C. ー4
D. 4
Answer:
4
Step-by-step explanation:
I - 2 I = 2
I 6 I = 6
I 6 I - I - 2 I
= 6 - 2
= 4
Find the product
4x4 1/2 =
Answer:
8
\(4 \times 4(1 \div 2) \\ \)
4 gets cancelled by 2 for times i.e
4
\( 4 \times 2\)
=8
In Tammy video game, she receives a treasure box for completing a mission. Each treasure box gives Tammy a special item. Every treasure box has an 18% chance of having an amulet, a 25% chance of having a wand and 57% chance of having a ring
The range of values that is used to represent that a ring is in a treasure box is 43 to 100.
The range of a collection of data in statistics is the distinction between the largest least smallest values, calculated by subtracting the sampled maximum and minimum. It is given in the same numbers as the data.
In qualitative data, range is the smallest interval that contains all of the data and indicates statistical dispersion. Because it is only dependent on two observations, it is best suited to capturing the dispersion of tiny data sets.
If the distribution from every Xₙ is restricted to the right (or left), then the range's asymptotic distribution equals the distribution of the highest (smallest) value. The hyperbolic distribution can be written as a Bessel function for more general distributions.
From the data given in the question we can state that the the chances that there are items in the treasure boxes is given by:
1-18 = amulet
19-43=wand
44-100 = ring.
the number of boxes that has the ring are:
2,3,5,6,7,8,10 = 7 boxes
Required percentage = 7/ 10 =0.7 = 70%.
Hence 70% boxes contains the rings.
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A pound of rice has a mixture of two types of rice, each costing $10 and $30, if the average cost per is $24, what is the ratio of the different types of rice?
Answer:
3:7
Step-by-step explanation:
Let x = pounds of the $10 rice in the mixture
Let y = pounds of the $30 rice in the mixture
Total cost of the $10 rice = 10x
Total cost of the $30 rice = 30y
(10x + 30y) / (x + y) = 24
Solve this equation for y/x:
10x + 30y = 24(x + y)
10x + 30y = 24x + 24y
30y - 24y = 24x - 10x
6y = 14x
y/x = 6/14 simplify the fraction
y/x = 3/7
So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.
For what value of t is f (t) = 0.0625
9514 1404 393
Answer:
t = 4
Step-by-step explanation:
It can be useful to convert the numbers to ratios of integers.
0.0625 = (0.5)^t
1/16 = (1/2)^t
1/2^4 = 1/2^t
4 = t . . . . . . . match exponents
__
If you like, you can solve this using logarithms.
0.0625 = 0.5^t
log(0.0625) = t×log(0.5)
t = log(0.0625)/log(0.5)
t = 4
Olivia chose 10/21 . How did she get that answer?