PLEASE HELP ASAP
solve -1/6[3-15(1/3)2]
Answer:
C) -2/9
Step-by-step explanation:
\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)
Answer:
Hence, Option (C) - 2/9 is the Answer:
Step-by-step explanation:
-1/6 [3 -15(1/3)^2]
-1/6(3 -15)(1/9))
-1/6(3 - 5/3)
-1/6 (4/3)
Hence, Option (C) - 2/9 is the Answer:
I hope it helps!
A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.
A circle labeled satellite 55 overlaps a circle labeled cable 75. Overlap is labeled 12. 4-column table with 3 rows. First column has no label with entries satellite, not satellite, total. Second column is cable with entries blank, 51%, blank. Third column is not cable with entries a, b, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.
a = 82%, b = 3%
a = 38%, b = 50%
a = 38%, b = 3%
a = 93%, b = 19
The correct answer is:
a = 43%
b = 88%
To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.
From the Venn diagram, we can gather the following information:
The circle labeled "satellite" has a value of 55.
The circle labeled "cable" has a value of 75.
The overlap between the two circles is labeled as 12.
Using this information, we can complete the table:
First column - "Satellite":
Entries: Satellite, Not satellite, Total
Total: 55 (as given in the Venn diagram)
Second column - "Cable":
Entries: Blank, 51%, Blank
To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).
Cable: 75 - 12 = 63
Therefore, the entry becomes: Blank, 51%, Blank
Third column - "Not Cable":
Entries: a, b, Blank
To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).
a: 55 - 12 = 43
To find the value for "b," we subtract the overlap (12) from the total number of households (100).
b: 100 - 12 = 88
Therefore, the entries become: 43, 88, Blank
Fourth column - "Total":
Entries: Blank, Blank, 100%
The total number of households is given as 100% (as stated in the question).
Therefore, the values of a and b in the relative frequency table are:
a = 43% (rounded to the nearest percent)
b = 88% (rounded to the nearest percent)
Hence, the correct answer is:
a = 43%
b = 88%
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The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines? There are no zeroes on the chart. What do I do
To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:
Examine the tables and identify a pattern or relationship between the x-values and y-values for each line.Determine the slope (rate of change) of each line by calculating the difference in y-values divided by the difference in x-values for any two points on the line.Once you have the slopes, compare them to see if they are equal or different.If the slopes are different, the lines intersect at a single point, which represents the solution to the system of equations.If the slopes are equal, the lines are parallel, and there is no solution to the system of equations.If the slopes are different, you can find the intersection point by solving the system of equations using either substitution, elimination, or another suitable method.For such more question on equations
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Vehicles generally decrease in value around 14% per year. If you buy a vehicle priced at $39,500 , this can be modeled by the equation A=39500(0.86)t . Estimate the value of the vehicle after 4 years. Round to the nearest cent and do not round until the final calculation.
Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..
To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.
Substituting t = 4 into the equation:
A = 39500(0.86)^4
A ≈ 39500(0.5996)
A ≈ 23726.20
Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.
This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.
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Find the distance covered by a car travelling at 65 65-kmh-1 for 7 hours.
Answer:
1105km
Step-by-step explanation:
d=s×t
=65kmh^-1×7
=1105km
Use the original price and the markup to find the retail price.
Original price: $60; Markup: 20%
Answer:
$72 would be the retail price
Step-by-step explanation:
2.35x2/3=
7/30
7/15
27/30
47/30
Answer: 47/30
Step-by-step explanation: 2.35*2 and then divide it with 3 or you just find how much 2/3 is and * with 2.35
c. What number is 40% of 1607?
Answer:
642.8
Step-by-step explanation:
1607 divided by 10 = 160.7 x 4 = 642.8
HELP ME FAST PLEASE!!
If -x is positive, then -x>0??
TRUE OR FALSE???
Answer:
true because if it's positive it's greater than zero
Step-by-step explanation:
What is the surface area of a cone with a height of 15 and the diameter of 12?
Answer:
417.62
\(A=πr(r+\sqrt{x} h2+r2)\)Step-by-step explanation:
because radius is half of diameter and then you would use this equation to solve
Answer the photo please and do my other ones
Answer:
C
Step-by-step explanation:
If you were to put the number of turkey out in order from least to greatest, the median is 12. Doing the same thing to the ham, the median is 9.
Subtracting Turkey (12) from Ham (9) your answer is C, or 3.
What does a data distribute look like if it's MAD equals zero
Answer:
Because a MAD is the average of distances, which can never be negative, the MAD is always zero or a positive number.
3/5 of Camden's toys are orange. What percentage of Camden's toys are not orange?
Answer:
2/5
Step-by-step explanation:
Answer:2/5
Step-by-step explanation:
A clothing store reduce the price of a shirt by 25% to 27%. What is the original price of the Shirt
all of these are service industries except zoo bakery law firm or travel agency
Answer:
A zoo
Step-by-step explanation:
A zoo can't be consisdered a "service industry" compared to the other ones.
So
A.) Zoo
is your answer
Silvie states that the sum of a rational number and an irrational number is sometimes rational and sometimes irrational. Which statement correctly describes whether Silvie is correct or incorrect?
A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational
B) Silvie is correct; the sum of a rational number and an irrational number may be rational or irrational
C) Silvie is incorrect; the sum of a rational number and an irrational number is always rational
Answer:
A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational
Step-by-step explanation:
The concept of adding rational and irrational numbers states that the result will always be irrational.
Take for instance the addition of 4.5 and 3.142857
4.5 is a rational number because it can easily be expressed in fractions while 3.142857 is irrational because it can't be expressed as a simple fraction.
The addition of these two numbers gives 7.642857
7.642857 is an irrational number.
Similarly, any sum of two numbers (rational and irrational) will always result in irrational number.
Hence, Silvie is incorrect.
Answer:
A.
Step-by-step explanation:
Silvie is incorrect; the sum of a rational number and an irrational number is always irrational
Solve the system. Give answer as
(
x
,
y
,
z
)
2
x
−
2
y
+
4
z
=
0
−
6
x
−
4
y
−
4
z
=
2
−
3
x
−
8
y
+
4
z
=
1
(
x
,
y
,
z
)
=
(
,
,
)
Answer:
howwwwww
Step-by-step explanation:
it's alot going on
If n = 18, x= 38, and s = 4, construct a confidence interval at a 98% confidence level. Assume the data came from a normally distributed population. Give your answers to three decimal places.
These assumptions are not met, then the Confidence interval may not be accurate.
To construct a confidence interval for the population mean with a 98% confidence level, we can use the formula:
CI = x ± z*(s/√n)
Where:
- x is the sample mean
- s is the sample standard deviation
- n is the sample size
- z is the critical value from the standard normal distribution table for the desired confidence level. For a 98% confidence level, the z-value is 2.33.
Substituting the given values, we get:
CI = 38 ± 2.33*(4/√18)
CI = 38 ± 2.308
The lower bound of the confidence interval is:
38 - 2.308 = 35.692
The upper bound of the confidence interval is:
38 + 2.308 = 40.308
Therefore, the 98% confidence interval for the population mean is [35.692, 40.308].
Interpretation: We can be 98% confident that the true population mean falls within the range of [35.692, 40.308]. This means that if we were to take repeated samples of the same size from the population and compute a confidence interval for each sample, then approximately 98% of those intervals would contain the true population mean.
It is important to note that the above calculations are valid only if the sample is random and if the population from which it is drawn is normally distributed. If these assumptions are not met, then the confidence interval may not be accurate.
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Three lines intersect at point O. Find m∠1+m∠2+m∠3.
Answer:
180°
Step-by-step explanation:
\( m \angle 3 = m \angle \: 4..(vertical \: \angle s)...(1) \\ now \\ m \angle 1 + m \angle 4 + m \angle 2 = 180 \degree\\..(straight \: line \: \angle s) \\ m \angle 1 + m \angle 3 + m \angle 2 = 180 \degree..[from \: (1)] \\ \purple {\boxed {\bold {m \angle 1 + m \angle 2 + m \angle 3 = 180 \degree}}} \)
The cost of 1kg potatoes and 2kg tomatoes was 30 on a certain day. After two days the cost of 2kg potatoes and 4kg tomatoes was found to be 66.
20. Find the unknown angle measures.
51°
53°
The unknown angle measures are d = 76, c = 53, a = 51 and b = 76
Finding the unknown angle measures.From the question, we have the following parameters that can be used in our computation:
The lines
The sum of angles on a line is 180
So, we have
b = 180 - 51 - 53
b = 76
By vertical angle theorems, we have
d = 76
c = 53
a = 51
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How often should you visit your courses
In D2L
It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.
Identify each triangle based on angles. (Acute, Obtuse or Right) PLEASE HELP
Answer:
4.right
5. obtuse
6. acute
7. obtuse
8.acute
9. right
10. right
11. acute
12. obtuse
hope this helps
have a good day :)
Step-by-step explanation:
2c-3w=k-3 solve for c
let's solve for c :
\( \hookrightarrow \: 2c - 3w = k - 3\)
\( \hookrightarrow \: 2c = k - 3 + 3w\)
\( \hookrightarrow \: c = \dfrac{k + 3w - 3}{2} \)
Answer:
4k=-5c
5divided by 4=0.1
c=0.1
Two pieces of equipment were purchased for a total of $2000. If one piece cost $810 more than the other, find the price of the less expensive piece of equipment.
Answer:
595.
Step-by-step explanation:
Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.
1st Piece of Equipment = $595
2nd Piece of Equipment = $1,405
2nd Piece is $810 more expensive and the two pieces combined is $2,000.
Find three different numbers such that the
HCF of each pair of these numbers is greater
than 1 but the HCF of all three numbers is 1.
[Hint: For instance, the numbers 6, 10 and
15 satisfy the conditions.]
6, 10, 15
15,21,35
35, 55, 77
77, 91, 143
143, 187, 221
I can go on forever
There are different possibilities
find the value of x and give reasoning in the following image
Answer:
angleB+angleC=180° (since AB and DC are parallel and intersected by the transversal BC)
therefore, subtracting, angle B is 126°
3 angles of triangles also makes a 180°.
So, 14°+x+126°=180°
x= 180°- 140°
x=40°
Step-by-step explanation:
m<DCB + m<CBA = 180° (co-interior angles)
or, 54° + m<CBA = 180°
so, m<CBA = 180° - 54° = 126°
Now,
m<CBA + m<FAB + X = 180° (sum of interior angles of triangle)
or, 126° + 14° + X = 180°
or, X = 180° - 140°
so, X = 40°
for your own research projects, salkind textbook advises readers to use measurement tools that are already established as reliable and valid. give at least two reasons for this guidance.
Two reasons for the use of measurement tools are:
1. Using reliable and valid measurement tools ensures that the data collected is accurate and trustworthy, providing the researcher with more confidence in their conclusions.
2. Using reliable and valid tools reduces the amount of time needed to develop a new measurement tool, as the researcher can simply adapt an existing tool to meet their research needs. This allows the researcher to focus more of their effort on the other aspects of the project.
Reason of using measurement tools1. Using reliable and valid tools can help the researcher reduce the likelihood of bias in their results, as the tools have already been shown to be free of any potential bias. This helps to ensure that the results of the study are as objective as possible.
2. Using reliable and valid tools can also help to minimize the potential for errors and misinterpretation of data, as the tools are already proven to be valid and reliable. This helps to ensure that the results are as accurate as possible.
3. Finally, using reliable and valid tools can help to reduce the amount of effort and resources needed for data collection, as the researcher does not have to spend time and energy developing their own measurement tools. This can help to save time and money in the long run.
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Given the two functions, which statement is true? f(x) = 3x, g(x) = 3x + 5 Question 12 options: g(x) is translated up 5 units compared to f(x) g(x) is translated left 5 units compared to f(x) g(x) is translated down 5 units compared to f(x) g(x) is translated right 5 units compared to f(x)
The correct statement is: g(x) is translated up 5 units compared to f(x).
The correct answer is A.
To determine the translation between the two functions, we can observe that the only difference between them is the constant term.In f(x) = 3x, there is no constant term, so the graph of f(x) passes through the origin (0, 0).In g(x) = 3x + 5, there is a constant term of 5 added to the function. This means that the graph of g(x) is shifted vertically upward by 5 units compared to the graph of f(x).Therefore, g(x) is translated up 5 units compared to f(x).The correct answer is A.
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Isabel went to the grocery store. She spent $15.91 on vegetables and $11.22 on fruit. She also bought some bread. If she paid with 3 ten dollar bills and got 45 cents back in change, how much did she spend on bread?
Based on an equation, the amount that Isabel spent on bread was $2.42.
How the equation was solved?To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.
An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.
The amount Isabel spent on vegetables = $15.91
The amount she spent on fruits = $11.22
Let the amount she spent on bread = x
The total amount she went with = $30 (3 x $10)
The change she got after giving the cashier $30 = $0.45
The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)
x = $2.42 ($29.55 - $15.91 - $11.22)
Check:
Vegetables = $15.91
Fruits = $11.22
Bread = $2.42
Total expenses = $29.55
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