Answer:
2.625
Step-by-step explanation:
258=2.625
Solution by Separating the Parts
258=2+58
We know that
58
is the same as
5÷8
Therefore:
258=2+(5÷8)
Then using
Long Division for 5 divided by 8
we have
=2+0.625=2.625
Rounded to a Max of 3 Decimal Places.
Solution by Converting to Improper Fraction
258=2+58
=21+58
=(21×88)+58
=168+58=218
We know that
218
is the same as
21÷8
Answer:
Your answer is D 2 and 82/100
Please explain the difference bewteen a left-recursive grammar
rule and a right-recursive grammar rule
A left-recursive grammar rule is one where the non-terminal symbol appears on the left side of the production rule. In contrast, a right-recursive grammar rule is one where the non-terminal symbol appears on the right side of the production rule.
In a grammar, a production rule consists of a non-terminal symbol (the left-hand side) and a sequence of terminal and/or non-terminal symbols (the right-hand side). The order in which these symbols appear determines whether the rule is left-recursive or right-recursive.
A left-recursive grammar rule is of the form A -> Aα, where A is a non-terminal symbol and α is a sequence of terminal and/or non-terminal symbols. This rule allows the non-terminal A to derive itself or to derive a string that eventually leads to A. Left-recursion can cause infinite loops during parsing or evaluation.
On the other hand, a right-recursive grammar rule is of the form A -> αA, where A is a non-terminal symbol and α is a sequence of terminal and/or non-terminal symbols. In this case, the non-terminal A appears at the end of the rule, allowing the derivation to proceed from left to right.
The distinction between left-recursive and right-recursive grammar rules is important in parsing algorithms and language processing. Most top-down parsing techniques, like recursive descent parsing, can handle right-recursive rules efficiently, while left-recursive rules can cause problems.
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what is the measure of angle 4 in the diagram shown below?
Answer:
<4 = 59
Step-by-step explanation:
x + 60 + 61 = 180
x + 121 = 180
x = 59
11/9 = 55/n
n=
HELP PLEASEEEEE
Answer:
n = 45
Step-by-step explanation:
Step 1: Cross-multiply.
\(\frac{11}{9} = \frac{55}{n}\) \(11 * n = 55 * 9\) \(11n = 495\)Step 2: Divide both sides by 11.
\(\frac{11n}{11} = \frac{495}{11}\) \(n = 45\)What are the coordinates of a graph that represents 7min and 200 gallons
a microorganism measures 5 μm in length. its length in mm would be
The length of the microorganism that measure 5μm is equivalent to 0.005 mm
What is unit conversion?It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.
To solve this problem the we have to convert the units with the given information.
1mm is equal to 1000 μm
5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm
The length of the microorganism that measure 5μm is equivalent to 0.005 mm
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the numbers in this sequence increases by 40 each time. this sequence is continues with the same rule which number will be closest to 300
Based on the sequence, the number that is closest to 300 is 310
How to determine the number that is closest to 300?The sequence of numbers is given as
30, 70, 110, 150
The increment in the sequence is given as
40
This means that we keep increasing the numbers by 40
So, the other numbers in the sequence are
30, 70, 110, 150, 190, 230, 270, 310, 350, 390.....
The number 300 is between 270 and 310
However, 310 is closer to 300 than 270
Hence, the number that is closest to 300 is 310
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Complete question
The numbers in this sequence increases by 40 each time. this sequence is continues with the same rule which number will be closest to 300
30, 70, 110, 150
A coin is flipped eight times where each flip comes up either heads or tails. How many possible outcomes (8 pts)
Answer:
the possible outcomes contain the same number of heads and tails are 70.
tell me if i am right
For each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8\) = 256 possible outcomes.
When flipping a coin, there are two possible outcomes: heads or tails. So, for one flip, there are two possibilities. For two flips, there are two possibilities for the first flip and two possibilities for the second flip, making a total of 2x2=4 possible outcomes.
For three flips, there are two possibilities for the first flip, two for the second flip, and two for the third flip, making a total of 2x2x2=8 possible outcomes.
Similarly, for four flips, there are 2x2x2x2=16 possible outcomes, and for five flips, there are 2x2x2x2x2=32 possible outcomes.
Continuing this pattern, for eight flips, there are 2x2x2x2x2x2x2x2 = 256 possible outcomes.
This can also be calculated using the formula for combinations, which is \(n! / (r!(n-r)!)\) where n is the number of total flips (in this case, 8) and r is the number of heads that we want to get.
For example, to find the number of outcomes where we get exactly 3 heads and 5 tails, we would use the formula:
\(8! / (3!5!) = 56\)
So, there are 56 possible outcomes where we get exactly 3 heads and 5 tails.
In summary, for each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8 = 256\) possible outcomes.
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a set of exam scores is normally distributed and has a mean of 72.8 and a standard deviation of 7.7. what is the probability that a randomly selected score will be less than 89?
The probability that a randomly selected score will be less than 89 is 0.9821.
The probability that a randomly selected score will be less than 89 can be found using the z-score formula.
The z-score formula is:
z = (x - μ) / σ
Where x is the score we are interested in, μ is the mean of the distribution, and σ is the standard deviation of the distribution.
Plugging in the values given in the question, we get:
z = (89 - 72.8) / 7.7
z = 16.2 / 7.7
z = 2.10
Now we can use a z-table to find the probability that a randomly selected score will be less than 89.
Looking up a z-score of 2.10 on a z-table, we find that the probability is 0.9821.
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Ángulo mayor a 0 y menor a 45
Answer:
Ángulo agudo
Es cualquier ángulo que mida más de 0 grados pero menos de 90 grados. Un ángulo agudo cae en algún lugar entre inexistente y un ángulo recto.
Acute angle
It's any angle that measures more than 0 degrees but less than 90 degrees. An acute angle falls somewhere between nonexistent and a right angle.
Make f the subject of the formula below
If we make f the subject of the formula, then f = (3 + 4d)/(3 + d)
We are given a formula in which d = 3(1 - f)/(f - 4). We have to make f the subject of the formula. To make a variable the subject of the formula, we isolate it to the left-hand side of the equation with no other variable written along with it.
So, in this question, we will isolate f on the left-hand side of the equation and we will make f the subject of the formula. We are given that
d = \(\frac{3(1-f)}{f - 4}\)
When we cross-multiply this equation, we get
d(f -4) = 3(1 -f)
fd - 4d = 3 - 3f
Combine all the terms having variable f to the left-hand side.
fd + 3f = 3 + 4d
f( d + 3) = 3 + 4d
f = \(\frac{(3 + 4d) }{(3 + d)}\)
Therefore, by making f the subject of the formula, we get
f = (3 + 4d)/(3 + d)
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Here is the histogram of a data distribution.
Which best describes the shape of this distribution?
A. Bimodal skewed
B. Bimodal symmetric
C. Unimodal symmetric
D. Unimodal skewed
E. Uniform
The given distribution is (A) Bimodal skewed as the distribution has 2 humps.
What is Bimodal skewed?If a histogram has one hump, it is unimodal; if it has two humps, it is bimodal; and if it has many humps, it is multimodal. If a histogram is not symmetric, it is referred to as skewed. It is positively skewed if the upper tail is longer than the lower tail. They can have multiple peaks or be bimodal (two peaks) (or many peaks). But a single distribution with two peaks characterizes a bimodal distribution. Typically, it appears as two separate bell curve shapes contained within two normal distributions on a graph that is displayed side by side.As the given graph has 2 humps, we can conclude that the given distribution is an (A) Bimodal skewed.
Therefore, the given distribution is (A) Bimodal skewed as the distribution has 2 humps.
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each person in random samples of 237 male and 263 female working adults living in a certain town in canada was asked how long, in minutes, his or her typical daily commute was. is there enough evidence to show that there is a difference in mean commute times for male and female working residents of this town?
The null hypothesis was not refuted. There is insufficient evidence to support the assertion that male commute times are considerably longer than female commute times (P-value=0.155).
The data is:
Males n1 = 237
M1 = 31.6
s1 = 24.0
Females n2 = 263
M2 = 29.3
s2 = 24.3
This is a hypothesis test for a population mean differences.
According to the assertion, the average daily travel time for men is much longer than the average daily commuting time for women.
The null and alternative hypotheses are then:
\(H_{0}\) = \(\mu_m\) - \(\mu_f\) = 0
\(H_{a}\) = \(\mu_m\) - \(\mu_f\) > 0
The threshold of significance is set at 0.05.
The mean of Sample 1 (males) is 31.6, with a standard deviation of 24.
Sample 2 (females) does have a mean of 29.3 and a standard deviation of 24.3 (n2 = 263).
Md = 2.3 is the difference in sample means.
\(M_{d}\) = \(M_{m}\) - \(M_{f}\)
\(M_{d}\) = 31.6 - 29.3
\(M_{d}\) = 2.3
The formula to calculate the estimated standard error of the difference between the means:
\(S_{Md}\) = √(((σ1)² ÷ (n1)² + ((σ2)² ÷ (n2)²)
\(S_{Md}\) = √((24)² ÷ (237)²) + (24.3)² ÷ (263)²))
\(S_{Md}\) = √(0.0102 + 0.0085)
\(S_{Md}\) = 0.136
the t-statistic as,
t = ((\(M_{d}\) - ( \(\mu_m\) - \(\mu_f\) )) ÷ \(S_{Md}\))
t = ((2.3 - 0) ÷ 0.136)
t = 1.611
The degrees of freedom for this test are:
df = n1 + n2 - 1 = 237 + 263 - 1
df = n1 + n2 - 1 = 499
Because this is a right-tailed test with 499 degrees of freedom and t = 1.611, the P-value is determined as follows (using a t-table):
P - value = P(t > 1.611) = 0.155
The impact is not significant since the P-value (0.155) is greater than the significance threshold (0.05).
As a result, the null hypothesis was not rejected.
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A plant grows 3/8 inch every month. How many inches
does the plant grow in 10 months?
© ?
0 10
Answer:
B. 3 3/4
Step-by-step explanation:
3/8 * 10 = 30/8
30/8 = 3 3/4
how can you find the whole in a percent problem?
Step-by-step explanation:
Ex: Twelve of the students in the school choir like to sing solos. These 12 students make up 24% of the choir. How many students are in the choir ?
Write a proportion comparing the percent to the ratio of part to whole.
We know that 12 students represent 24%.
Find the multiplication factor.
Since 12 x 2 = 24, find what number times 2 is equal to 100.
Find the denominator.
12/50 = 24/100
(Since 50 · 2 = 100, the denominator is 50)
Hence, there are 50 students in the choir.
i really need your help
Find a vector equation with parameter t for the line of intersection of the planes x y z=2 and x z=0.
The vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0 is r(t) = <0, 2, 0> - t<1, -1, 0>.
To find a vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0, we can solve the system of equations formed by the planes.
First, let's solve for y in terms of x and z from the equation x + y + z = 2. Rearranging the equation, we have y = 2 - x - z.
Now, substitute this expression for y in the equation x + z = 0. We have x + (2 - x - z) + z = 2, which simplifies to 2 - z = 2.
Solving for z, we find z = 0.
Substituting z = 0 into the equation x + z = 0, we have x = 0.
Now that we have the values of x, y, and z, we can form a vector equation for the line of intersection as follows:
r(t) = = <0, 2 - x - z, 0> = <0, 2, 0> - t<1, -1, 0>.
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David was thinking of a number. David doubles it, then adds 3 to get an answer of 81.6. What
was the original number?
Answer:
39.3
Step-by-step explanation:
81.6 - 3 = 78.6
78.6 ÷ 2 = 39.3
How to convert repeating decimals to fractions on a calculator?
The calculator provides a tool to help the user convert the repeating decimals to fractions.
What exactly are a decimal and a fraction?A decimal is composed of a whole number and a fraction and is separated by a decimal point.
A fraction is a part of a number. It shows us the parts of a whole of something.
How do I convert the repeating decimals to fractions?We try to convert 1.2121212121 to a fractionPress the numbers above until we see the left-hand arrow.Then click the equal sign (=).The calculator leads you to the answer \(\frac{40}{33}\) .To get the mix fraction, press Shift and S-D on the calculator.It leads to the answer \(1\frac{7}{33}\)How about 0.8166666666?We can try the same steps.Press 0.81 and repeatedly press 6 till we see the left-hand arrow.Then click the equal sign (=).It leads to the answer
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ms. Delgado is painting in her new apartment. she uses 1/2 quart of yellow paint for every 9/2 quarts of blue paint. at this rate how much yellow paint does she use for every quart of paint?
She uses 1/2 quart of yellow paint for every 9/2 quarts of blue paint. Then, she uses 1/2 quart of yellow paint for every 1/2 + 9/2 = 10/2 = 5 quart of paint.
We can use the next proportion:
\(\frac{\frac{1}{2}\text{ quart of yellow paint}}{x\text{ quart of yellow paint}}=\frac{5\text{ quart of paint}}{1\text{ quart of paint}}\)Solving for x:
\(\begin{gathered} \frac{1}{2}\cdot1\text{ = 5}\cdot x \\ \frac{1}{2}\cdot\frac{1}{5}=x \\ x=\frac{1}{10}\text{ quart of yellow paint} \end{gathered}\)She uses 1/10 quart of yellow paint for every quart of paint
In the function, 9 (2-) = 9 - 5x, what is the value of g (3)?
Answer: 53
Step-by-step explanation:
Please help me ASAP
3. You deposit $1575 in a bank account that earns 3.75% interest per year for 5 years. How much will the balance be if it's compounded continuously?
4. From #3, How much will the balance be if it's compounded monthly?
5. You buy a boat for $35,000 that depreciates in value at about 17% per year. How much will it be worth in 3 years?
3) $1,899.81
4) $1,899.26
6) $17,150
Can an object with zero acceleration speed up?
Yes, an object can have zero velocity and immobile be accelerating together. While participating the object, you will find that the object will continue to move ahead for some time and then stops instantly.
Then the object will start to move in the reverse direction.
at all the velocity is constant, the acceleration is zero. For example, a car traveling at a constant 80 km/h in a straight line has nonzero velocity and zero acceleration.
If acceleration is 0, the velocity is not converted. If the velocity is constant (0 acceleration) then the object will continue needing slowing down or speeding up.
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help please, algebra 2
Answer:
\( {(x - 3) + (y - 5)}^{2} = 64\)
The center is (3, 5), and the radius is 8.
The city's youth commission wants to hold events for 18 students from Allenville High and 12
students from Kinley High. The commission would like the same combination of Allenville and
Kinley students at each event, with no students left out or attending multiple events. What is
the greatest number of events that the commission can hold?
Answer:
30 18+12=30
Step-by-step explanation:
is w a subspace of the vector space? if not, state why. (select all that apply.) W is the set of all vectors in r2 whose components are rational numbers.a. W is a substace of R^2b. W is no a substace of R^2 because it is not closed under additionc. W is not a subspace of R^2 becayse it is not closed under scalar multiplication.
The only true answer is a. W is a part of space \(R^{2}\)
A vector space is a mathematical structure that consists of a set of objects called vectors, along with two operations: vector addition and scalar multiplication. The set of vectors is typically denoted by V, and the underlying field of scalars is denoted by F. The vector addition operation takes two vectors from V and returns a new vector in V, while scalar multiplication takes a scalar from F and a vector from V and returns a new vector in V.
a. W is a subspace of \(R^{2}\) .
b. False. W is closed under addition. If u and v are in W, then each component of u and v is rational. Therefore, the sum of the corresponding components of u and v is also rational, so the sum of u and v is in W.
c. False. W is closed under scalar multiplication. If u is in W and r is a rational number, then each component of ru is rational. Therefore, ru is in W.
Therefore, the only correct statement is a. W is a subspace of \(R^{2}\)
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If a scientific team uses special equipment to measures the pressure under water and finds it to be 159 pounds per square foot, at what depth is the team making their measurements
When a scientific team uses special equipment to measures the pressure under water and finds it to be 159 pounds per square foot, the depth is around 70 feet.
It's important to note that pressure increases as depth increases under water. The pressure in pounds per square foot, P, at a depth of d feet is given by the equation:
P = 0.433d + 14.7 where 0.433 is a constant for water, and 14.7 is the pressure at the surface.
In order to find the depth at which the pressure is 159 pounds per square foot, we need to solve the equation for
d.P = 0.433d + 14.7
Substitute P = 159 and solve for
d.159 = 0.433d + 14.7
Subtract 14.7 from both sides.
144.3 = 0.433d
Divide both sides by 0.433 to isolate d.
d ≈ 333.06
Hence, when a scientific team uses special equipment to measures the pressure under water and finds it to be 159 pounds per square foot, the depth is around 70 feet.
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Express the following in partial form of the signal:
X₁ (s) = s² + 4s +3S/ s^3+ 5s^2+2s+8
The partial fraction decomposition of X₁(s) is (A / (s - r₁)) + (B / (s - r₂)) + (C / (s - r₃)).
To express the fraction X₁(s) = (s² + 4s + 3s) / (s³ + 5s² + 2s + 8) in partial fraction form, we need to decompose the rational function into simpler fractions. The general form of a partial fraction decomposition is:
X₁(s) = (A / (s - r₁)) + (B / (s - r₂)) + (C / (s - r₃))
where A, B, and C are constants, and r₁, r₂, and r₃ are the roots of the denominator polynomial.
To find the roots of the denominator, we set the denominator equal to zero and solve for s:
s³ + 5s² + 2s + 8 = 0
The roots of this cubic polynomial can be found using numerical methods or factoring techniques. Let's assume the roots are r₁, r₂, and r₃.
Then, we can express X₁(s) in partial fraction form as:
X₁(s) = (A / (s - r₁)) + (B / (s - r₂)) + (C / (s - r₃))
where A, B, and C are the constants we need to determine.
To find the values of A, B, and C, we can multiply both sides of the equation by the denominator (s³ + 5s² + 2s + 8) and simplify. This will give us a system of equations that we can solve to find the values of A, B, and C.
(s³ + 5s² + 2s + 8) * X₁(s) = A + B(s - r₁) + C(s - r₂)(s - r₃)
Expanding the left side and comparing coefficients, we get:
s² + 4s + 3s = A + (B + C) * s² + (-B * (r₁ + r₂ + r₃) + C * (r₁r₂ + r₁r₃ + r₂r₃)) * s + B * r₁r₂ + C * r₁r₃ * r₂r₃
By comparing the coefficients of the powers of s on both sides, we obtain a system of equations. Solving this system will give us the values of A, B, and C.
Once we have the values of A, B, and C, we can substitute them back into the partial fraction expression:
X₁(s) = (A / (s - r₁)) + (B / (s - r₂)) + (C / (s - r₃))
This completes the partial fraction decomposition of X₁(s).
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Suppose a shoe company estimates that its monthly cost is
C(x) = 300c2 + 200c and its monthly revenue is
R(x) = -0.5x3 + 900x2 – 500x + 400, where x is in thousands of pairs
of shoes sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
O
A. P(x) = -0.5x3 + 600x2 – 700x + 400
B. P(2) = -0.5x3 + 1200x2 – 300x + 400
O C. P(x) = 0.523 + 60022 – 700.0 + 400
O D. P(x) = 0.523 – 600x2 + 700x – 400
PREVIOUS
I
Answer:
Hello,
Answer B
Step-by-step explanation:
\(C(x)=300*x^2+200*x\\\\R(x)=-0.5*x^3+900*x^2-500*x+400\\\\\\P(x)=R(x)-C(x)\\\\=-0.5*x^3+900*x^2-500*x+400-(300*x^2+200*x)\\\\=-0.5x^3+900x^2-300x^2-500x-200x+400\\\\=-0.5x^3+600x^2-700x+400\\\)
What is the least common multiple of 7, 3, and 4?
help... A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet long. How tall is a man who can cast a shadow that is 14 feet long?
Answer: 6 feet tall.
Step-by-step explanation:
If the boy who is 3 feet tall casts a shadow that is 7 feet long and then another person casts a shadow that is 14 feet long that would mean that he is 6 feet because 7+7 is 14 so all you would have to do it 3+3 to get your answer.