Answer:
6.666 percent recurring can be rounded to 6.67
Step-by-step explanation:
please give me an answer !
Answer:
C
Step-by-step explanation:
-3x+15=18
-3(-1)+15=18
3+15=18
Answer:
Correct answer is C
Step-by-step explanation:
-3 (-1) +15= 18
3+15=18
the largest of the following integers which divides each of the numbers of the sequence $1^5 - 1,\, 2^5 - 2,\, 3^5 - 3,\, \cdots, n^5 - n, \cdots$ is:
The sequence's numbers are all multiples of 30. Every number can be divided by 30.
If two integers are divided equally, leaving no remainder, then we say that one integer divides the other (we sometimes say, "with no remainder," but that is not technically correct). Mathematicians express this more explicitly as follows: If a and b are integers (with a not zero), then a divides b if c is an integer such that b = ac. Sequence: 1 51, 2 52,....., n 5n,....n 5n=n(n 4 1)=n(n1)(n1)(n+1)(n 2 +1)
At n=1, n 5, n=0, n=1, 2, 3, etc. Not attainable
Atn=2,n 5 −n=30 ∴ The sequence's numbers are all multiples of 30. Every number can be divided by 30.
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two right circular cylinders have the same volume. the radius of the second cylinder is more than the radius of the first. what is the relationship between the heights of the two cylinders?
The relationship between the heights of two right circular cylinders with the same volume. The radius of the second cylinder increases, its height must decrease to maintain the same volume as the first cylinder.
In order to find the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius, and h is the height of the cylinder.
Given that both cylinders have the same volume, let's denote their volumes as V1 and V2, their radii as r1 and r2, and their heights as h1 and h2. The given information states that r2 > r1. We can now write the equations for the volumes of the two cylinders:
V1 = π(r1)²h1
V2 = π(r2)²h2
Since V1 = V2, we can set the two equations equal to each other:
π(r1)²h1 = π(r2)²h2
We can now solve for the relationship between the heights of the two cylinders:
h1/h2 = (r2/r1)²
This equation shows that the ratio of the heights of the two cylinders is equal to the square of the ratio of their radii. As the radius of the second cylinder is greater than the radius of the first (r2 > r1), the height of the second cylinder will be less than the height of the first (h2 < h1). In other words, as the radius of the second cylinder increases, its height must decrease to maintain the same volume as the first cylinder.
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Select all the points that are on the line through (0,5) (2,8)
A) (4,11)
B) (5,10)
C) (6,14)
D) (30,50)
E) (40,60)
Answer:D).
Step-by-step explanation:ok
let r be the relation on the set {0, 1, 2, 3} containing the ordered pairs (0, 1), (1, 1), (1, 2), (2, 0), (2, 2), and (3, 0). what ordered pair(s) do you need to add to form the reflexive closure of r.
The reflexive closure of a relation on a set is the smallest reflexive relation that contains the original relation. In other words, it is the addition of pairs that ensure every element in the set is related to itself. To form the reflexive closure, we need to add pairs that relate each element in the set to itself.
To form the reflexive closure of relation r on the set {0, 1, 2, 3}, we need to add ordered pairs that ensure every element in the set is related to itself. In other words, we need to add pairs of the form (x, x) for each element x in the set that is not already present in relation r.
In this case, the reflexive closure of relation r would require adding the following ordered pairs: (0, 0), (1, 1), (2, 2), and (3, 3). These pairs ensure that every element in the set {0, 1, 2, 3} is related to itself, making the relation reflexive. These pairs ensure that every element is related to itself, satisfying the reflexivity property.
By adding these additional ordered pairs, we have modified relation r to include reflexivity, as every element now has a direct relation to itself in the set.
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3/2[(58-10^2)÷(√16 +3)]
Answer:
- 1/4 or -0.25 is the answer
Bearing a to b is 280 what is bearing b to A
Answer:
please see photo attached for detailed analysis.
Marlon Audio Company manufactures video tapes. The desired speed of its model SF2000 is 4 inches per second. Any deviation from this value distorts pitch and tempo, resulting in poor sound quality. The company sets the quality specification to 4 t 0.17 inch per second because an average customer is likely to complain and return the tape if the speed is off by more than 0.17 inch per The cost per return is $28. The repair cost before the tape is shipped, however, is only $7 per tape. Required: 1. Compute L(x) if x is 4.12 inches per second. 2. Estimate the tolerance for the firm to minimize its quality-related cost (loss). (Round your answers to 4 decimal places.)
L(x) if x is 4.12 inches per second is $21.
To estimate the tolerance for the firm to minimize its quality-related cost (loss), we need to determine the range of acceptable speeds that minimize the cost. The tolerance can be calculated as the difference between the upper and lower limits of the acceptable speed range.
Given that the desired speed is 4 inches per second and the quality specification allows a deviation of 0.17 inches per second, we can calculate the upper and lower limits as follows:
Upper Limit = Desired Speed + Tolerance
Lower Limit = Desired Speed - Tolerance
Let's assume the tolerance is represented by 't'.
Upper Limit = 4 + t
Lower Limit = 4 - t
To minimize the quality-related cost, we want to find the smallest value of 't' that satisfies the condition.
The cost can be minimized when the difference between the upper and lower limits is equal to twice the return cost of $28.
Upper Limit - Lower Limit = 2 * $28
(4 + t) - (4 - t) = 2 * $28
2t = 2 * $28
t = $28
Therefore, the estimated tolerance for the firm to minimize its quality-related cost is 0.28 inches per second (rounded to 4 decimal places).
Note: In this scenario, the tolerance is set to 0.28 inches per second to ensure that the cost of returns is minimized for the company.
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What is the answer to X=7-3y And 2x-4y=-6
I need it
Answer:
x = − 3 y + 7
Step-by-step explanation:
Reorder 7 and − 3
the sampling distribution of a statistic refers to thegroup of answer choicesrange of all possible sample values of the statistic that could be drawn from the parent population under the specified sampling plan.distribution of the variable in the parent population.distribution of the variable in a particular sample.spread of the variable in the parent population.unbiased nature of most sample statistics.
Answer:
It is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.
Step-by-step explanation:
The sampling distribution of a statistic refers to the range of all possible sample values of the statistic that could be drawn from the parent population under the specified sampling plan.
In other words, it is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.
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a bus traveling at an average speed of 50 kilometers per hour, made the trip to a town in 6 hours. if it had traveled 45 kilometers per hour, how many more minutes would it have taken to make the trip?
If the bus had traveled at 45 km/hr, it would have taken 40 more minutes to make the trip.
We can use the formula:
time = distance/speed
where distance is the distance of the trip and speed is the speed of the bus.
Let's denote the distance of the trip by d. Then we have:
time1 = d/50 (time taken to make the trip at 50 km/hr)
time2 = d/45 (time taken to make the trip at 45 km/hr)
We know that time1 = 6 hours. So we can write:
d/50 = 6
Solving for d, we get:
d = 300 km
Now, the time taken to make the trip at 45 km/hr is:
time2 = d/45 = 300/45 = 6.67 hours
So, the difference in time taken between the two speeds is:
6.67 - 6 = 0.67 hours = 40 minutes
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currently, the rate for new cases of diabetes in a year is 4.3 per 1000 (based on data from the centers for disease control and prevention). when testing for the presence of diabetes, the newport diagnostics laboratory saves money by combining blood samples for tests. the combined sample tests positive if at least one person has diabetes. if the combined sample tests positive, then the individual blood tests are performed. in a test for diabetes, blood samples from 10 randomly selected subjects are combined. find the probability that the combined sample tests positive with at least 1 of the 10 people having diabetes. is it likely that such combined samples test positive?
A data of cases of diabetes from the centers for disease control and prevention, the probability that the combined sample tests positive with at least 1 of the 10 people having diabetes is equals to 0.04218.
We have a data from the centers for disease control and prevention.
The rate of new cases of diabetes
= 4.3 per 1000
So, probability ( diabetes) =\( \frac{4.3}{1000}\) = 0.0043
Using complement rule, Probability for no diabetes people, P( no diabetes)
= 1 - 0.0043 = 0.9957
Now, blood samples from 10 is randomly selected. It is assumed that each of these different people having diabetes is independent events. Using multiplcation rule for independent events, P( All 10 have no diabetes )
= P( no diabetes)× P( no diabetes)×....× P( no diabetes) ( 10 times)
= ( P( no diabetes))¹⁰ = 0.9957¹⁰
= 0.957823
Using complement rule, P ( atleast 1 the 10 people having diabetes) = 1 - P( All 10 have no diabetes ) = 1 - 0.957823
= 0.04218
Since, probability value is small so it is unlikely that a combined sample test. Hence, required probability is 0.04218.
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Suppose Metro by T-Mobile wants to offer a simple extended warranty plan. If your phone is damaged, they will repair it for up to $50. If you lose or destroy your phone, they will give you a $200 voucher towards a new phone. The company believes that 5% of customers will need the replacement voucher and 10% will request a repair. What is the standard deviation?
Answer:
45
Step-by-step explanation:
Given that :
Voucher awarded (x) :
Repair = $50
Lose or destroy = $200
P(x):
Replacement voucher = 5%
Repair voucher = 10%
X ______ 50 ______ 200
P(x) ____ 0.1 _______ 0.05
Expected variance Var(X) :
ΣX²p(x) - E(x) ;
E(x) = Σx*p(x) = (50*0.1) + (200*0.05) = 15
ΣX²p(x) = Σ[(50^2 * 0. 1) + (200^2 * 0.05)] = 250 + 2000 = 2250
Var(X) = 2250 - 15^2 = 2025
Standard deviation = √Var(x)
Standard deviation = √2025
Standard deviation = $45
Given matrix A and matrix B. Use this matrix equation, AX=B, to determine the variable matrix X.
A=[3 2 -1]
[1 -6 4]
[2 -4 3]
B=[33]
[-21]
[-6]
To determine the variable matrix \(\displaystyle X\) using the equation \(\displaystyle AX=B\), we need to solve for \(\displaystyle X\). We can do this by multiplying both sides of the equation by the inverse of matrix \(\displaystyle A\).
Let's start by finding the inverse of matrix \(\displaystyle A\):
\(\displaystyle A=\begin{bmatrix} 3 & 2 & -1\\ 1 & -6 & 4\\ 2 & -4 & 3 \end{bmatrix}\)
To find the inverse of matrix \(\displaystyle A\), we can use various methods such as the adjugate method or Gaussian elimination. In this case, we'll use the adjugate method.
First, let's calculate the determinant of matrix \(\displaystyle A\):
\(\displaystyle \text{det}( A) =3( -6)( 3) +2( 4)( 2) +( -1)( 1)( -4) -( -1)( -6)( 2) -2( 1)( 3) -3( 4)( -1) =-36+16+4+12+6+12=14\)
Next, let's find the matrix of minors:
\(\displaystyle M=\begin{bmatrix} 18 & -2 & -10\\ 4 & -9 & -6\\ -8 & -2 & -18 \end{bmatrix}\)
Then, calculate the matrix of cofactors:
\(\displaystyle C=\begin{bmatrix} 18 & -2 & -10\\ -4 & -9 & 6\\ -8 & 2 & -18 \end{bmatrix}\)
Next, let's find the adjugate matrix by transposing the matrix of cofactors:
\(\displaystyle \text{adj}( A) =\begin{bmatrix} 18 & -4 & -8\\ -2 & -9 & 2\\ -10 & 6 & -18 \end{bmatrix}\)
Finally, we can find the inverse of matrix \(\displaystyle A\) by dividing the adjugate matrix by the determinant:
\(\displaystyle A^{-1} =\frac{1}{14} \begin{bmatrix} 18 & -4 & -8\\ -2 & -9 & 2\\ -10 & 6 & -18 \end{bmatrix}\)
\(\displaystyle A^{-1} =\begin{bmatrix} \frac{9}{7} & -\frac{2}{7} & -\frac{4}{7}\\ -\frac{1}{7} & -\frac{9}{14} & \frac{1}{7}\\ -\frac{5}{7} & \frac{3}{7} & -\frac{9}{7} \end{bmatrix}\)
Now, we can find matrix \(\displaystyle X\) by multiplying both sides of the equation \(\displaystyle AX=B\) by the inverse of matrix \(\displaystyle A\):
\(\displaystyle X=A^{-1} \cdot B\)
Substituting the given values:
\(\displaystyle X=\begin{bmatrix} \frac{9}{7} & -\frac{2}{7} & -\frac{4}{7}\\ -\frac{1}{7} & -\frac{9}{14} & \frac{1}{7}\\ -\frac{5}{7} & \frac{3}{7} & -\frac{9}{7} \end{bmatrix} \cdot \begin{bmatrix} 33\\ -21\\ -6 \end{bmatrix}\)
Calculating the multiplication, we get:
\(\displaystyle X=\begin{bmatrix} 3\\ 2\\ 1 \end{bmatrix}\)
Therefore, the variable matrix \(\displaystyle X\) is:
\(\displaystyle X=\begin{bmatrix} 3\\ 2\\ 1 \end{bmatrix}\)
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Harleys recipe needs for 4 2/3 cups of flour if the recipe is tripled how much flour will be needed
used to measure the center of a set of values. good for summarizing values that are generally pretty similar to each other.
Mean is used to measure the center of a set of values. It is good for summarizing values which are generally pretty similar to each other.
What is mean and its function?Mean is more usually referred to as the average. It is calculated by adding up all of the values and dividing by the total number of values. It is a good way for summarizing the center of values which are commonly very similar to each other.
The mean is the most often used measure of central tendency since it uses all values in the data set to give us an average. For data from skewed distributions, the median is better than the mean because it is not influenced by large values.
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Although part of your question is missing, you might be referring to this full question: _________ is used to measure the center of a set of values. It is good for summarizing values that are generally pretty similar to each other.
work out the value of 7a - 7b
when a-b=5
Answer:
35
Step-by-step explanation:
Simplification :
7(a-b) as 7 is common
as we know a-b is 5 ,
7 * 5 = 35 in the answer.
Please mark me as the brainliest TQ!
Answer: 35
Step-by-step explanation:
7a - 7b
= 7(a-b)
= 7(5)
= 35
write the midpoint of the segment as an ordered pair (-7,2)(7,-4)
The equation of line p is y=ax+b. Which of these could be the equation of line q?.
The equation of line p is y = ax + b then y = -2ax + b + 3 could be only the equation of line q out of the given options.
Therefore, the answer is C) y = -2ax + b + 3.
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. So in case of line p, a is the slope and b is the y-intercept. Let equation of q by y = m'x + b'.
From the figure it is evident that line p has a positive slope while line q has a negative slope. So slope of q is negative of slope of line q multiplied by a positive constant, say c, then
m' = -2ac
From figure we can observe that y-intercept of p is 0 and q has a positive y-intercept, so
b' = b + k, k is a positive constant
So equation of q is y = -2acx + b + k, where c and k are positive constants. So only option C is of this format.
--The question is incomplete, answering to the question below--
"The equation of line p is y = ax + b. Which of these could be the equation of line q?
A. y = -2a(x + 3) + b
B. y = -2ax + b
C. y = -2ax + b + 3
D. y = -2ax + b - 3"
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Can someone please solve these problems for me if you could do step by step that would rlly help me this is due Feb 14, 2021 please HELP only do 7- 10 please
Answer:
7. about 41.8 degrees or 0.72972 radians (used \(sin^{-1} (\frac{4}{6} )\), because the given leg is opposite from the angle)
8. about 50.4 degrees or 0.87946 radians (used \(tan^{-1} (\frac{29}{24} )\))
9. about 12.8 degrees or 0.224 radians (used \(sin^{-1} (\frac{12}{54} )\))
10. about 51.3 degrees or 0.8957 radians (used \(cos^{-1} (\frac{25}{40} )\), given leg is opposite from angle)
Step-by-step explanation:
S.O.H.--C.A.H.--T.O.A
sine = opposite (to angle)/hypotenuse
cosine = adjacent (to angle)/hypotenuse
tangent = opposite (to angle)/adjacent (to angle)
I didn't know if it was degrees or radians, so I did both! I saw you on the film question asking for help, so I just wanted to do so! Have a great day!
The ratio of ahmads age to his mothers age is 1:4. In 30 yrs time the new ratio of their ages will be 6:9. How old is ahmad now?
Ahmad is currently 6 years old. We can use the first equation we found to determine that his mother is 24 years old.
Let's start by assigning variables to represent their ages. Let Ahmad's current age be x and his mother's age be y.
From the first part of the problem, we know that:
x/y = 1/4
We can use this to solve for one of the variables in terms of the other. For example, we can solve for y:
y = 4x
Now we can use the second part of the problem, which tells us that in 30 years, the new ratio of their ages will be 6:9. We can set up an equation using this information:
(x + 30)/(4x + 30) = 6/9
To solve for x, we can cross-multiply and simplify:
9(x + 30) = 6(4x + 30)
9x + 270 = 24x + 180
15x = 90
x = 6
So Ahmad is currently 6 years old. We can use the first equation we found to determine that his mother is 24 years old.
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if the margin of error in an interval estimate of μ is 4.6, the interval estimate equals _____.
If the margin of error is 4.6, the interval estimate would be the point estimate plus or minus 4.6.
In statistical estimation, the margin of error represents the maximum amount by which the point estimate may deviate from the true population parameter. It provides a measure of the precision or uncertainty associated with the estimate. When constructing a confidence interval, the margin of error is used to determine the range within which the true parameter is likely to fall.
To obtain the interval estimate, we add and subtract the margin of error from the point estimate. Let's denote the point estimate as x bar. Therefore, the interval estimate can be expressed as X bar ± 4.6, where ± denotes the range above and below the point estimate.
In summary, if the margin of error in an interval estimate of μ is 4.6, the interval estimate is given by the point estimate plus or minus 4.6. This range captures the likely range of values for the true population parameter μ.
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Name a number that is a factor of 20 and 18 but a multiple of 2.
in a triangle, the longest side is 4 inches longer than 3 times the shortest side. the third side is 2 inches more than the short side. if the perimeter of the triangle is 36 inches, find the length of the shortest side
Which of the following is equivalent to a real number?
A. (-324)¹4
B. (-6745)¹
C. (-2346)
D. (-874)¹2
The correct option is C. (-2346) is the real number.
What is referred as the real numbers?A real number is any number which can be discovered in the real world.
Natural numbers are used to count objects, rational numbers for fraction representation, irrational numbers for determining the square root of the a number, integers for temperature measurement, and so on. These various types of numbers combine to form a gathering of real numbers. The union of a set of rational numbers (Q) as well as the set of irrational numbers ( Q¬ ) yields the set of real numbers, denoted by R. As a result, we can consider writing the set of real numbers as R = Q ∪ Q¬. This means that natural numbers, whole numbers, integers, rational numbers, as well as irrational numbers are all real numbers. Real numbers include 3, 10, 1.0, 3/2, 5, and so on.For the given options in the question;
Any negative number raised to any root and fractional power given a imaginary number which is a part of complex number.
Thus, only option C which have (-2346) is the real number more specifically negative integer.
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The correct question is-
Which of the following is equivalent to a real number?
A. (-324)¹/₄
B. (-6745)¹/³
C. (-2346)
D. (-874)¹/₂
She must determine height of the clock tower using a 1.5 m transit instrument (calculations are done 1.5 m above level ground) from a distance 100 m from the tower she found the angle of elevation to be 19 degrees. How high is the clock tower from 1 decimal place?
Step-by-step explanation:
We can use trigonometry to solve this problem. Let's draw a diagram:
```
A - observer (1.5 m above ground)
B - base of the clock tower
C - top of the clock tower
D - intersection of AB and the horizontal ground
E - point on the ground directly below C
C
|
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| x
|
|
|
-------------
|
|
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|
|
|
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B
|
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A
```
We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:
tan(ACD) = CE / AB
tan(19) = CE / 100
CE = 100 * tan(19)
CE ≈ 34.5 m (rounded to 1 decimal place)
Therefore, the height of the clock tower is approximately 34.5 m.
The listed price of the video game was $34, but the price with tax came to $37.40. Find the percent sales tax.
Answer:
10%
Step-by-step explanation:
we want to find what % of 34 is 37.40
so, we will use the following equation:
\(\frac{part}{whole} = \frac{percent}{100}\)
for this scenario:
part = 37.40
whole = 34
percent = x
now plug in:
\(\frac{37.40}{34} = \frac{x}{100}\) cross multiply
34x = (37.40)(100)
34x = 3740 divide both sides by 34
x = 110%
now we know that with tax, we paid 110% of the video game's price
110 - 100 = 10%
so the percent sales tax is 10%
just to check...
34 • 1.10 = $37.40
or
34 • .10 = 3.40
34 + 3.40 = 37.40
5. Solve these equations using the guess and check method.
h + 21 = 38
b) S-17 = 23
$ c) g + 28 = 50 d)
2x + 18 = 42 e)
f) 3p + 24 = 57
g) 7+-5=2
-=2 49 - 17 = 19
h) En + 15 = 17
k) :+9 = 12 1
i) + 18 = 33 5 32 + LU-8 = 0 j e2+9= 34 ] 0 34
Answer:
a) h+21=38
or, h=38-21
or, h=17
b) s-17=23
or, s=23+17
or, s=40
c) g+28=50
or, g=50-28
or, g=22
d) 2x+18=42
or, 2x=52-18
or, 2x=32
or, x=34/2
or, x=16
e) 3p+24=57
or, 3p=57-24
or, 3p=33
or, p=33/3
or, p=11
f)
i need the work for this answer but its blocked for me
Answer:
Sorry it doesn't look like you attached any link for this.
Diet/Food: List 3 diet considerations athletes should follow when they are training.
Answer:
Choose healthy sources of protein such as chicken, turkey, fish, peanut butter, eggs, nuts and legumes. Stay hydrated with beverages, as a two percent drop in hydration levels can negatively impact performance. Options include milk, water, 100 percent fruit juice and sport drinks.