By evaluating the expression in w=−6, x=−2, and z=−7, we will get the value 35/37.
How to evaluate the expression?Here we have the following expression:
(w²*x - 2)/(10*z)
And we want to evaluate this with the following values:
w = -6
x = -2
z = -7
Replacing these in the expression we will get:
( (-6)²*(-2) - 2)/(10*-7)
(36*-2 - 2)/(-70)
-74/-70 = 70/74 = 35/37
That is the value of the expression.
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Taylor earned $240 last week If she worked20 hours, how much
money did she earn per hour?
Answer:
per hour is 12 dollars
Step-by-step explanation:
240/20= 12
Answer:
That would be $12
Hope this helps!
How many significant digits are in the number 1.00460? select one: a. 6 b. 3 c. 5 d. 4
There are 6 significant digits in the number 1.00460.
What are digits?In mathematics, digits are the single symbols used to represent numbers. For example, in the number 89, the digits 8 and 9 are both two digits. As a result, numerals such as 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 are forms of digits that are used to represent a combination of numbers and perform arithmetic operations in our daily lives.We use ten digits to create all numerals. A numeral is a written number. These are the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.Therefore, there are 6 significant digits in the number 1.00460.
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Solve the equation below. SHOW UR WORK
10x − 6 = 24
Answer:
3
Step-by-step explanation:
10x-6=24
10x = 24+6 (You switch sides because you can add 24 and 6. You cannot add 10x to 24 or 6)
10x= 30
x= 30/10
x= 3
The answer is 3.
Answer:
x=3
Step-by-step explanation:
10x-6=24
Subtract 6 from 6 and then add 6 to 24
10x=30
30÷10=3
Divide 30 by 10
x=3
how many ways are there to arrange 4 americans, 3 russians, and 5 chinese into a queue, in such a way that no nationality forms a single consecutive block?
4 Americans, 3 Russians, and 5 chinses into a queue, in such a way that no nationality forms a single consecutive block ways are there to arrange A∩R∩C, we must arrange the 3 blocks (3!) and then arrange within the blocks (4!⋅3!⋅5!)
According to the question, given that
4 Americans, 3 Russians, and 5 chinses into a queue, in such a way that no nationality forms a single consecutive block
Imagine that the American block is merely an additional person to be placed among the other 8 people. After that, there are 9 "people" providing 9! arrangements. In order to organize the Americans within the block, we must then multiply by 4.
With 5 real individuals and 2 blocks, we have 7 "people" for AR, giving us 7!, multiplied by 4!3! to arrange within the blocks.
Similar to how we must position the three blocks for A∩R∩C, we must also organize the blocks themselves (3! 4! 3! 5!)
Therefore, the ways to arrange the people into a queue is (3! 4! 3! 5!)
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please help me with the step by step
Answer:
stay safe healthy and happy....Step-by-step explanation:
This is the correct answer
Can anybody help me with this this is all I need for today and it is for a grade.
Answer:
yes it is proportianal
Step-by-step explanation:
one way to increase the probability of identifying the optimal decision when using a simulation is to:
One way to increase the probability of identifying the optimal decision when using a simulation is to increase the number of iterations or trials in the simulation.
Simulation is a powerful tool for modeling and analyzing complex systems or processes where there are many variables and uncertainties involved. However, the accuracy and reliability of the simulation results depend on the number of iterations or trials used in the simulation. The more trials or iterations are performed, the more accurate the simulation results are likely to be, and the higher the probability of identifying the optimal decision.
Therefore, to increase the probability of identifying the optimal decision in a simulation, one should increase the number of trials or iterations in the simulation. This means running the simulation multiple times with different input values or scenarios and recording the results for each run. By analyzing the results of multiple simulation runs, one can identify patterns, trends, and optimal decisions that are robust and reliable across different scenarios and conditions.
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If Sally worked 50.8 hours in a week, and her paycheck comes out the next Monday as $655.91, how much is Sally getting paid hourly?
1. What is the approximate area of circle A?
2. What is the approximate area of circle B?
3. What is the approximate area of the shaded region 1 (between the square and circle A)?
4. What is the approximate area of shaded region 2 (between circles A & B)?
The approximate area of circle A is π · 8² = 64π ≈ 201.062 square inches.
The approximate area of circle B is π · 4² = 16π ≈ 50.265 square inches.
The approximate area of shaded region 1 is 24² - 64π ≈ 374.938 square inches.
The approximate area of shaded region 2 is 64π - 16π = 48π ≈ 150.796 square inches.
How to estimate geometric areas
In this situation we have a square whose side length is known and two circles whose radii have to be estimated. By direct inspection we find that the diameter of circle A is two thirds of the length of the square side (l), in inches and the diameter of circle B is the half of the diameter of the former. Now we proceed to find the key dimensions of the figure:
Circle A
Diameter: 16 inches
Radius: 8 inches
Circle B
Diameter: 8 inches
Radius: 4 inches
The approximate area of circle A is π · 8² = 64π ≈ 201.062 square inches.
The approximate area of circle B is π · 4² = 16π ≈ 50.265 square inches.
The approximate area of shaded region 1 is 24² - 64π ≈ 374.938 square inches.
The approximate area of shaded region 2 is 64π - 16π = 48π ≈ 150.796 square inches.
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The linear functions f( x) and g(x) are represented on the graph where g(x) is a transformation of f(x)
A) Describe two types of transformations that can be used to transform f(x) to g(x)
B) Solve for k in each type of transformation
C ) Write an equation for each type of transformation that can be used to transform f(x) to g(x)
Please help :)
(A) Two types of transformations that can be used to transform f(x) to g(x) are translation and dilation (stretching or compressing).
A) Two types of transformations that can be used to transform f(x) to g(x) are translation and dilation (stretching or compressing).
B) To solve for k in each type of transformation:
1. Translation: If g(x) is a vertical translation of f(x), we have g(x) = f(x) + k, where k is the amount of vertical shift. If g(x) is a horizontal translation, we have g(x) = f(x - k), where k is the amount of horizontal shift.
2. Dilation: If g(x) is a vertical dilation of f(x), we have g(x) = k * f(x), where k is the dilation factor. If g(x) is a horizontal dilation, we have g(x) = f(k * x), where k is the dilation factor.
C) Equations for each type of transformation that can be used to transform f(x) to g(x) are:
1. Translation:
- Vertical translation: g(x) = f(x) + k
- Horizontal translation: g(x) = f(x - k)
2. Dilation:
- Vertical dilation: g(x) = k * f(x)
- Horizontal dilation: g(x) = f(k * x)
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In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. What is the probability that a student who has a brother also has a sister?
Answer: 11
Students have both a brother and a sister
Step-by-step explanation:
I don't think probability should be used for this question because the answer is quite clear
So in a class of 25 students
5 students don't have a sibling
So 25-5=20
Total number of siblings=14+17=31 siblings in total
So 20 people have 31 siblings
31-20=11
So the answer should be 11
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. The probability that a student who has a brother also has a sister is 11/25.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
\(P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}\)
where favorable cases are those elementary events that belong to E, and total cases are the size of the sample space.
In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings.
So in a class of 25 students
5 students don't have a sibling
then, 25-5=20
Total number of siblings = 14+17
= 31 siblings in total
So, 20 people have 31 siblings
= 31 - 20
= 11
So, the probability that a student who has a brother also has a sister
= 11/ 25.
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The parent function of the function g(x)=(x-h)² + kis f(x)=2. The vertex of the function g(x) is located at (9.-
8). What are the values of h and k?
g(x)=(x-____)^2+______
Answer:
h = 9
k = -8
Step-by-step explanation:
⭐ \(g(x) = (x-h)^2 + k\) is already written in vertex form.
⭐ Vertex form: \(f(x) = a(x-h)^2 +k\), where the vertex is (-(-h), k)
We are already given the vertex (9,-8), so we have to substitute these numbers into g(x).
\(g(x) = (x-9)^2 -8\)
The equation of parabola is solved and the values of h and k are 9 and -8 respectively
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
The vertex form of a parabola function is given by:
g(x) = a(x - h)² + k
where (h, k) is the vertex.
In this case, we are given that:
g(x) = (x - h)² + k
And the vertex is located at (9, -8)
So we have:
h = 9
k = -8
Therefore, the function g(x) can be written as:
g ( x ) = ( x - 9 )² - 8
Hence , the equation of parabola is g ( x ) = ( x - 9 )² - 8
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jan and judy are two math geniuses. jan calculates the probability that three distinct numbers chosen at random without replacement from the set below would have an even sum. judy calculates the probability that three distinct without replacement numbers chosen at random from the set below would have an even product. what is the positive difference between the two probabilities they calculate (assuming they did so correctly!)? express your answer as a common fraction. {2, 3, 5, 7, 8, 9, 10}
The positive difference between the two probabilities is 11/35.
To calculate the probability that three distinct numbers chosen at random without replacement from the set would have an even sum, Jan would consider the number of ways to choose three even numbers (4 choose 3) and divide that by the total number of combinations of three numbers (7 choose 3).
To calculate the probability that three distinct numbers chosen at random without replacement from the set would have an even product, Judy would consider the number of ways to choose three numbers such that the product is even (3 choose 2) and divide that by the total number of combinations of three numbers (7 choose 3).
The positive difference between the two probabilities would be the difference between these two calculations. In this case, 11/35 is a positive difference, meaning that the probability of having an even product is 11/35 higher than the probability of having an even sum.
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Find a power series representation for the function and determine the radius of convergence. f(x)= x/ (2x2+1).
the series converges for values of x such that |x| < sqrt(2), which gives us the radius of convergence.
To find the power series representation of the function f(x), we can express it as a sum of terms involving powers of x. We start by factoring out x from the denominator: f(x) = x / (2x^2 + 1) = (1 / (2x^2 + 1)) * x.Next, we can use the geometric series formula to represent the term 1 / (2x^2 + 1) as a power series. The geometric series formula states that 1 / (1 - r) = ∑[infinity] r^n for |r| < 1.
In our case, the term 1 / (2x^2 + 1) can be written as 1\(/ (1 - (-2x^2)) = ∑[infinity] (-2x^2)^n = ∑[infinity] (-1)^n * (2^n) * (x^(2n)).\)
Multiplying this series by x, we obtain the power series representation of f(x): f(x) = ∑[infinity] (-1)^n * (2^n) * (x^(2n+1)) / 2^(2n+1).The radius of convergence of a power series is determined by the convergence properties of the series. In this case, the series converges for values of x such that |x| < sqrt(2), which gives us the radius of convergence.
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Use the functions to find the expected number of plants in 10 years for each method
Part A: For the method of buying new bulbs each year: new_bulbs(year): return 50*year + 6
Part B: we expect to have 506 plants if we buy new bulbs each year and 6144 plants if we divide existing bulbs after 10 years.
Part C: For the method of buying new bulbs each year: new_bulbs(5) = 256 new_bulbs(15) = 756
Part A:
Let's define two functions to model the expected number of plants for each year:
For the method of buying new bulbs each year:
new_bulbs(year):
return 50*year + 6
For the method of dividing existing bulbs:
divide_bulbs(year):
return 6*(2**year)
Part B:
To find the expected number of plants in 10 years for each method, we simply need to evaluate the functions at year = 10:
For the method of buying new bulbs each year:
new_bulbs(10) = 506
For the method of dividing existing bulbs:
divide_bulbs(10) = 6144
Therefore, we expect to have 506 plants if we buy new bulbs each year and 6144 plants if we divide existing bulbs after 10 years.
Part C:
To compare the expected number of plants in five years to the expected number of plants in 15 years, we can evaluate the functions at year = 5 and year = 15:
For the method of buying new bulbs each year:
new_bulbs(5) = 256
new_bulbs(15) = 756
For the method of dividing existing bulbs:
divide_bulbs(5) = 96
divide_bulbs(15) = 32768
We can see that the expected number of plants for both methods increases significantly between 5 and 15 years, but the method of dividing existing bulbs shows a much greater increase. This is because each year, the gardener can double the number of plants by dividing the existing bulbs. In contrast, the number of plants obtained by buying new bulbs increases linearly.
These patterns could affect the method the gardener decides to use depending on their goals and resources. If the gardener wants to have a larger number of plants in the short term (i.e., within five years), buying new bulbs each year may be a better option. However, if the gardener wants to have a larger number of plants in the long term (i.e., beyond five years), dividing existing bulbs may be more efficient and cost-effective. If the gardener has limited resources, dividing existing bulbs may be a more sustainable option as it allows them to multiply their existing plants without having to buy new bulbs every year.
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Complete question is in the image attached below
The area of the star shaped surface of this block is 1.2m^2. The thickness of the block is 25cm. What is the volume of the block?
Answer:
volume = 0.30 m³
Step-by-step explanation:
GIVEN:
The area of the star shaped surface of this block is 1.2m^2.
The thickness of the block is 25cm.
FIND:
What is the volume of the block?
SOLUTION:
volume = area x length
where area = 1.2 m²; length = 0.25 m
plugin values into the formula:
volume = 1.2 m² x 0.25 m
= 0.30 m³
therefore, the volume of the star shaped block is 0.30 m³
Given g (x) = -x-4 , find g(-2)
Answer:
-2
Step-by-step explanation:
g(x) = -x-4
g(-2) = -(-2)-4
2 - 4
-2
Answer:
g(-2) = -2
Step-by-step explanation:
Hello!
To evaluate for -2, we can substitute -2 for x in the equation.
Evaluateg(x) = -x - 4g(-2) = -(-2) - 4g(-2) = 2 - 4g(-2) = -2g(-2) is -2.
Iris rolled a five-sided number cube numbered
1 through 5. Find the probability that a roll
will result in each of the following. Write your
answer using probability notation.
a. P(odd) c. P(4)
b. P(not odd) d. P(not 4)
a. ,b. ,c. ,d
In a five-sided number cube, the probability of each outcome can be determined by dividing the number of favorable outcomes by the total number of possible outcomes. a. P(odd) = 3/5
b. P(not odd) = 2/5
c. P(4) = 1/5
d. P(not 4) = 4/5
a. The probability of rolling an odd number can be determined by dividing the number of favorable outcomes (odd numbers) by the total number of possible outcomes (numbers 1 through 5). In this case, there are 3 odd numbers (1, 3, and 5) and a total of 5 possible outcomes. Therefore, P(odd) = 3/5.
b. The probability of rolling a number that is not odd (even) can be found by subtracting the probability of rolling an odd number from 1. Since P(odd) = 3/5, P(not odd) = 1 - P(odd) = 1 - 3/5 = 2/5.
c. The probability of rolling a 4 is determined by dividing the number of favorable outcomes (one 4) by the total number of possible outcomes (numbers 1 through 5). Thus, P(4) = 1/5.
d. Similarly, the probability of rolling a number that is not 4 can be calculated by subtracting the probability of rolling a 4 from 1. Since P(4) = 1/5, P(not 4) = 1 - P(4) = 1 - 1/5 = 4/5.
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Convert each unit.
32
yards =
feet
1
4
foot =
inches
3
miles =
yards
Step-by-step explanation:
32 yards = 96 feet (1 yard = 3 feet, so 32 yards x 3 feet/yard = 96 feet)
14 feet = 168 inches (1 foot = 12 inches, so 14 feet x 12 inches/foot = 168 inches)
3 miles = 5,280 yards (1 mile = 1,760 yards, so 3 miles x 1,760 yards/mile = 5,280 yards)
please somebody please help
\({\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=1\\ y=27 \end{cases}\implies 27=ab^1\implies 27=ab \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} x=2\\ y=243 \end{cases}\implies 243=ab^2\implies 243=abb\implies \cfrac{243}{ab}=b \\\\\\ \stackrel{\textit{substituting from the 1st equation}}{\cfrac{243}{27}=b\implies \boxed{9=b}} \\\\\\ 27=ab\implies \cfrac{27}{b}=a\implies \cfrac{27}{9}=a\implies \boxed{3=a}~\hfill {\Large \begin{array}{llll} y=3(9)^x \end{array}}\)
Help Me in my Math Thanks :)
Answer:
Step-by-step explanation:
Asked: How many square tables are needed to place 100 pupils?
Given: Square table each has 4 pupils to sit
operation : Multiplication, subtraction, Division
Solve:
Number of pupils in 9 rectangular tables = 9*8 = 72 pupils
Remaining pupils = 100 - 72 = 28
Number of square table needed =28 ÷ 4 = 7
7 square tables are needed.
7m + 2 = 6n - 5
Write a formula for f(m) in terms of m.
Answer: m = 6/7n-1
Step-by-step explanation: to get 7m alone dirst we must subtract 2 from both sides so 2-2 = 0 and -5 - 2= -7 so 7m= 6n-7 and divide both sides by 7 to get m alone so 6n divided by 7 = 6/7n and -7 divided by 7 equals -1 so we're left with m= 6/7n-1
The formula for f(m) in terms of m is:
f(m) = (6m - 7) / 7
To write a formula for f(m) in terms of m, we need to isolate m on one side of the equation.
Given the equation 7m + 2 = 6n - 5, we can start by moving all terms involving m to one side and all terms involving n to the other side:
7m - 6n = -5 - 2
Simplifying:
7m - 6n = -7
Now, we can express m in terms of n:
7m = 6n - 7
Dividing both sides of the equation by 7:
m = (6n - 7) / 7
Thus, the formula for f(m) in terms of m is:
f(m) = (6m - 7) / 7
This formula allows us to calculate the value of f(m) based on the given relationship between m and n. By substituting different values of m into the formula, we can determine the corresponding values of f(m) for those inputs.
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Need help plz it’s only one question!!!
Answer:
owes $12.50
Step-by-step explanation:
2.5*5
=12.5
Answer:
-12.5
Step-by-step explanation:
If you do 2.50*5 (because Ms. Ortiz borrows $2.50 every day for 5 days) it equals 12.5, and since it's how much she owes, you have to make it negative, so it's -12.50 or she owes $12.50 (the first one if you are supposed to have the answer be negative, the second one if you have to have it in money form).
We need help and we don’t now what we are doing
Answer:
The second, third, and fifth one.
Step-by-step explanation:
Home this helps
What percent of 72 is 9?
18%
114%
1212%
125%
Answer:
125%
Step-by-step explanation:
i have an answer of that
Connie received $20 for her birthday from her grandparents. She used the money to buy an ice cream cone for herself and one for each of her four best friends. If each cone cost $3.15, how much money does Connie have left?
Answer:
4.25
Step-by-step explanation:
she has a total of 20 dollars and she wats to buy ice cream each at 3.15 for a total of 5 people including her self.
so 3.15(5) is 15.75
then subtract 15.75 from 20
20 - 15.75 = 4.25
Go to artofstat.com, click on WebApps and open the Explore Coverage app. Change the tab on top of the graph to Confidence Interval for a Mean. Change the Population Distribution to Bell-shaped and use the default mean=50 and standard deviation=10. Under "Choose confidence level (in %)" use the default 95, and under "Select sample size (n)" use the default of n=20. Under "Select how many samples (of size n) you want to draw from the population" select 10. Click on "Draw sample(s)" and note that ten confidence intervals appear under the population graph. Under Coverage, the app displays two percentages - "cover" and "do not cover". Coverage represents:
A) the percentage of the 10 intervals that cover the true sample mean.
B) the percentage of the 10 intervals that cover the true population proportion.
C) the percentage of the 10 intervals that cover the sample mean computed from each sample.
D) the percentage of the 10 intervals that cover the true population mean.
Coverage represents the percentage of the 10 intervals that cover the exact true population mean. This is because the Confidence Interval for a Mean is used to estimate the true population mean with a certain particular level of confidence.
The "cover" percentage in the app refers to the proportion of intervals that include the true population mean, while the "do not cover" percentage refers to the proportion of the intervals that do not include the true population mean.
Therefore, Coverage is a measure of how well the Confidence Interval for a Mean is able to capture the true population mean.
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An accounting firm wants to know how many tax payers will wait until the last day to file their
taxes. A group of 1000 tax filers were randomly surveyed, revealing that 100 of them said it
was likely that they would not file until the last day. Based on this information, a 95%
confidence statement indicated that the percentage of tax filers who would file on the last day was estimated to be between 8% and 12% of all tax filers. In this problem, which of the following is the margin of error?
A 1%
B 2%
C 3%
D 4%
The margin of error is 2%. Answer choice B is the correct answer. The margin of error is a measure of the amount of random sampling error in a survey's results. It indicates the range of values that the true population parameter is likely to fall within, given the survey results.
In this problem, we are told that a 95% confidence statement indicated that the percentage of tax filers who would file on the last day was estimated to be between 8% and 12% of all tax filers. This means that we are 95% confident that the true percentage of tax filers who would file on the last day falls within this range.
To find the margin of error, we need to calculate the half-width of the confidence interval. The half-width is the difference between the upper and lower bounds of the interval, divided by two. So:
Half-width = (12% - 8%) / 2 = 2%
Therefore, the margin of error is 2%. Answer choice B is the correct answer.
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5 pythagorean theorem
Answer:
B) 20 mi
Step-by-step explanation:
a² + b² = c², where c is the hypotenuse or longest side
12² + 16² = x²
144 + 256 = 400
x² = 400
x = √400 = 20
Answer = 20 miles
Hope this helps!
Answer:
20mi
Step-by-step explanation:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
What is the value of y in the equation 2(2y - 12) = 0?
4
6
7
8
Answer:
The second option, 6
Step-by-step explanation:
opening the parentheses, the equation becomes,
4y - 24 = 0
4y = 24
y = 6