Answer:
x=c+b/a
Step-by-step explanation:
ax-b=c
+b +b
ax=c+b
__ ___
a=c+b/a
Answer:
D
Step-by-step explanation:
Given
ax - b = c ( add b to both sides )
ax = c + b ( isolate x by dividing both sides by a )
x = \(\frac{c+b}{a}\) → D
A set of data has a sample mean of 65.4 and a standard deviation of 1.2. if the sample size is 45, what is the 99% confidence interval of this data?
The confidence interval is between 64.6 and 66.2.
The 99% confidence interval of the data is determined using the formula: Confidence Interval = X ± Zc (SD/√n), where:
- X represents the sample mean,
- SD represents the standard deviation,
- Zc represents the critical value,
- √n represents the square root of the sample size.
Given the information provided in the question, we can plug in the values to calculate the confidence interval. Substituting the values, we have:
Confidence Interval = 65.4 ± 2.576 (1.2/√45) = 65.4 ± 0.754
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Which fraction can be replaced with 0 when estimating with fractions?
Answer:
None
Step-by-step explanation:
Answer:
\( \frac{0}{1} \)
\( \frac{0}{2} \)
\( \frac{0}{72} \)
\( \frac{0}{-56} \)
\( \frac{0}{10} \)
any number as the denominator and 0 as the numerator can be replaced in the place of 0.
Step-by-step explanation:
\( \frac{0}{any \: \: integer} = 0\)
A cone has height $h$ and a base with radius $r$ . You want to change the cone so its volume is doubled. What is the new height if you change only the height
\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{doubled}{2V} \end{cases}\implies 2V=\cfrac{\pi r^2 h}{3}\implies V=\cfrac{\pi r^2 h}{3\cdot 2} \\\\\\ V=\cfrac{\pi r^2}{3}\cdot \cfrac{h}{2}\implies V=\cfrac{\pi r^2\left( \frac{h}{2} \right)}{3}\qquad \textit{half the previous "h"}\)
Answer: 2h
Step-by-step explanation:
Linear Equations - Practice Word Problems
Solve.
#1 - When five is added to three more than a certain number, the result is 19. What is the number?
#2 - If five is subtracted from three times a ce3rtain number, the result is 10. What is the number?
Answer:
#1 - 11
#2 - 5
Step-by-step explanation:
#1 - This is really simple, as long as you don't think of it as numbers. The numbers 5 and 3 are being added to a number to make 19, so all you have to do is 19 - 5 - 3 or 19 - 8, which equals 11. So the certain number is 11.
#2 - The equation for this problem is (3 x ?) - 5 = 10. This equation is formed because you are subtracting 5 from 3 times a number, and to do all of this first, you need to figure out what 3 times a number equals (so it goes into the parentheses). From there, all you need to do is give a value that would substitute the question mark (normally you use a variable like n, x, y, etc.). This value would be 5, because 3 x 5 = 15 and 15 - 5 = 10.
:DDDDDDDDD
Help look at the photo
Will mark the brainlest
Answer:
1. 6
2. 8
3. 10
4. 12
5. 14
Step-by-step explanation:
just solve
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 55 records of automobile driver fatalities in a certain county showed that 34 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use α = 0.01. Solve the problem using both the critical region method and the P-value method. Since the sampling distribution of is the normal distribution, you can use critical values from the standard normal distribution (Round any intermediate calculations to at least four decimal places. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.)
Solution :
Population proportion, P = 77%
Sample size is given by n = 55
Sample proportion = \($\frac{x}{n} = \frac{34}{55}= 0.61$\)
Null hypothesis
The population proportion of the fatalities of the drivers that are related to alcohol = 77%
\($H_0 : P = 77$\) %
\($H_0 : P = 0.77$\)
Alternate hypothesis, \($H_a : P < 0.77$\)
Therefore, the test statistics = \($\frac{0.61 - 0.77}{\sqrt{\frac{0.7 \times 0.23}{55}}}$\)
= -3.2
Critical value = -1.64
and the rejection zone : test zone, -1.645
Therefore, we fail rejecting \($H_0$\)
p value 0.0582
rejection zone :: p value , 0.01
So we fail to reject \($H_0$\)
Thus the data does not indicate the population proportion of the drivers fatalities which are related to the alcohols which is less than 77% in the county of Kit Carson.
What is the quotient of 34,907 and 67?
Answer: 521
Step-by-step explanation:
34907/67=521
Roberto takes his family to dinner at a local restaurant. The meal costs $96.50 before the 7% tax is added. Robert wants to leave a tip of at least 15%, but no more than 18%. He always calculates the tip on the cost of the food before the 7% tax is added which amount would not be possible total, including the tip and taxes. A.117 B.118 C.119 D.120
Answer:
A. 117
Step-by-step explanation:
The range is $117.80 to $120.625
96.50 x .15 = 14.475
96.50 + 14.475 + .07(96.50)
110.975 + 6.755
117.73 Lowest amount
96.50 x .18 = 17.37
96.50 + 17.37 + .07(96.50)
113.87 + 6.755
120.625 Highest amount
is -14.76 rational or irrational
Answer:
rational
Step-by-step explanation:
cause it can be shown as a divition of real numbers
Simplify the algebraic expression by combining like (or similar) terms.6x + 5x2 + 2 - 6x2
Answer: \(-x^{2} +6x+2\)
The roots of the auxiliary equation m^2 + 9 = 0 is m = ±3 m = ± 3i None of these m = i + ± 3. The order of the differential equation x^2y" + xy' + (x2 – 16)y = 0 is 1, 2, 3, 4
We can proceed with finding the specific solution using either method mentioned above.
The order of the differential equation is 2.
Since the auxiliary equation has complex roots (±3i), we know that the general solution to the differential equation will involve sine and cosine functions.
To find the specific solution, we can use the method of undetermined coefficients or variation of parameters. However, we first need to check for any singular points or irregular singular points in the equation.
Since the coefficient of y is a polynomial in x and the coefficient of y" is also a polynomial in x, there are no singular points or irregular singular points in the equation.
Therefore, we can proceed with finding the specific solution using either method mentioned above.
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what is the best way to show your work for 2/3 times 9/12?
If anyone can help please help me
Answer:
Well the answer is 1/2
Step-by-step explanation:
The best way to show your work is writing it out.
what is the point-slope form of a line with slope -4 that contains the point (-2, 3)
Answer:
\(y - 3 = - 4(x + 2)\)
a decision maker's course of action results in a consequence or payoff.
a. True
b. False
The answer to the question is True. A decision maker's course of action results in a consequence or payoff is true.
A payoff is a result of a decision, while a consequence is an effect of a decision. This choice also applies to business decisions. In business, decision-makers must assess the potential consequences of their decisions and consider the various payoffs that could result from each option available to them.
In business, a decision's outcome or payoff is a direct function of the decision maker's ability to make sound decisions.
Payoff is the expected return from a decision or investment. The measure of a decision's success is frequently based on the payoff it produces, rather than the consequence it has.
The ability of the decision-maker to assess and choose the best option available to them will have a direct impact on the payoff they achieve as a result of their decision.
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I need to find #1 and #2
Answer:
1. Angle f and s are supplementary angles, which is equal to 180, so we will: 180-35= 145
So angle f= 145 (degrees)
Angle Q= 180-49 (supplementary angles)
So angle Q= 131
I'm so sorry but I do not know the answer of Q2
I tried.
How many solutions to this
Answer:
one
Step-by-step explanation:
one equation
tanks Please brianlist
Sabiendo que lo ancho de un terreno rectangular mide 24.7 m y que su perímetro es de 131.8 m. ¿Cuánto mide cada uno de sus lados largos?
Answer:
El perímetro de un terreno rectangular mide 48 m . Calcula sus dimensiones si el largo es el doble que el ancho.
Respuesta:
De largo mide 16m
De ancho mide 8m
Explicación paso a paso:
Perímetro = número de lados multiplicado por longitud del lado.
Formula: P = 2(a + b) o P = 2b + 2h
Donde: P = Rectángulo del perímetro
a y b = Longitudes de lados
Asignamos las variables:
Largo = 2x
Ancho = x
Utilizamos la formula:
2(x) + 2(2x) = 48
2x + 4x = 48
6x = 48
x = 48/6
x = 8m (ancho)
2x
2(8)
16m (largo)
Step-by-step explanation:
When a cylinder is intersected by a plane parallel to the bases, what is the resulting cross-section?.
When a cylinder is intersected by a plane parallel to the bases, the resulting cross-section is a circle.
A cylinder is a solid geometric figure which has two parallel, congruent bases.
The bases are connected by a curved surface called a lateral surface. If a plane is made to intersect a cylinder, the resulting cross-section can be circular or elliptical, depending on how the plane intersects the cylinder.
In this case, if the plane intersects the cylinder parallel to the bases, the resulting cross-section is a circle because any section taken parallel to the base of a cylinder is congruent to the base.
This is true for both right cylinders and oblique cylinders.
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Which expression is equivalent to StartAbsoluteValue negative 5 EndAbsoluteValue + StartAbsoluteValue 3 EndAbsoluteValue?
–8
–2
2
8
Answer:
8
Step-by-step explanation:
The following expression → |- 5| + |3| is equivalent to 8
What is absolute value of a number?
The absolute value of a number is the magnitude of number. Absolute value describes the distance from zero that a number is on the number line, without considering direction.
We have the following expression -
|- 5| + |3|
For a number [x], such that [x] < 0, the absolute value would be -
v[a] = - x
and for [x] > 0
v[a] = x
So, for x = |- 5| + |3| , the equivalent expression would be -
5 + 3
8
Therefore, the following expression → |- 5| + |3| is equivalent to 8.
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This question, please!!!
Box of candy contains 0.6 of a pound of caramels 3.6 pounds of coconut What percent the contents of the box, by weight consist of caramels?
Answer:
14.28%
Step-by-step explanation:
I'm not sure if it's right but this is how I worked it out,
the box's contents are 4.2 pounds in total,
therefore in a fraction it would be 6/42
you turn a fraction into a percentage you do the numerator divided by the denominator
6÷42=0.142857(decimal form)
now you just turn it into a percentage
14.28%
please correct me if I'm wrong
I need help asap with this maths question
Answer:
\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)
Step-by-step explanation:
Use the drop-down menus to complete each equation so the statement about its solution is true.
You have not provided the contents of any of the drop-down menus, so we cannot say for certain what the answers should be--except in the case of "infinitely many solutions.
For no solution,2x + 9 + 3x + x = 6x
For one solution,2x + 9 + 3x + x = 15
For infinitely many solutions,2x + 9 + 3x + x = 6x + 9
Based on the given conditions,
(1) No solutions :
There will be no solutions when the left side is inconsistent with the right side:
2x + 9 + 3x + x = _ x + _
We can sum of difference,
6x + 9 = 6x
Subtract 6x from both sides,
6x - 6x = -9
9 = 0
9 = 0 which is absurd and hence the equation has no solution.
(2) One solutions :
There will be one solution when the left side and right side are not inconsistent and not the same.
2x + 9 + 3x + x = 15
6x + 9 = 15
Subtract 9 from both sides.
6x = 6
Divide both sides by 6.
x = 1 and this is the only solution.
(3) Infinity solutions :
There will be an infinite number of solutions when the equation is true for any value of x. This will be the case when the left side and right side are identical.
2x + 9 + 3x + x = 6x + 9
6x + 9 = 6x + 9
Subtract 6x from both sides,
9 = 9, both sides are balanced which means, the equation has infinitely many solutions.
Therefore,
For no solution,2x + 9 + 3x + x = 6x
For one solution,2x + 9 + 3x + x = 15
For infinitely many solutions,2x + 9 + 3x + x = 6x + 9
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What are the steps to this problem (and the answer?)
Answer:
\((25 {x}^{2} + 20xy + 16 {x}^{2} )(5x - 4y) = \\ 125 {x}^{3} + 100 {x}^{2} y + 80x {y}^{2} - 100 {x}^{2} y \\ - 80x {y}^{2} - 64 {y}^{3} = \\ 125 {x}^{3} - 64 {y}^{3} \\ please \: give \: brainliest\)
pls help me complete the question 9to10. Thanks
Answer:
9) y=x+16
10) width=x-a
Step-by-step explanation:
You can find the complete solution for question 9 and question 10 in the given attachment
ANSWER 9)
FROM FIGURE
area of televsion=area of rectangle=length×breadth
Given,
Area of rectangle=x²+16x
x²+16x=length×breadth
x²+16x=y×x
dividing by x on both sides we get
x+16=y
Hence y=x+16
I hope it helped you
can anyone help me on this?
Answer is :
-x² + 2x - 6Step-by-step explanation:
Here,
f(x) = 2x + 1
g(x) = x² - 7
We have to find (f - g) (x)
(f - g) (x) is similar to f(x) - g(x)
Further solving for f(x) - g(x)
Put value of f(x) and g(x) here
2x + 1 - x² - 7
2x - x² - 6
-x² + 2x - 6
Similarly, (f - g) (x) = -x² + 2x - 6 (Answer)
A collection of nickels and dimes is worth $2.85. If there
are 34 coins in the collection and each nickel is replaced
with a quarter, the value of the collection becomes:
O $13.50
O none of the above
O $5.05
O $8.50
In the collection, there are 11 nickels and 23 dimes. If each nickel is replaced with a quarter, the value of the collection becomes $5.05. So, C is correct. By writing them in the system of equations, we get the required value.
Conversion of the given units into dollars:The given units are nickels, dimes, and quarters. Their conversion into dollars is as follows:
1 nickel = $0.05
1 dime = $0.10
1 quarter = $0.25
Calculation:Given a collection of nickels and dimes is worth $2.85.
And there are 34 coins in the collection.
So, consider the number of nickel coins = n and the number of dime coins = d.
Then, the equation for the given collection is
n + d = 34...(1)
0.05n + 0.10d = 2.85...(2)
On simplifying (2), we get
5n + 10d = 2.85 × 100
⇒ 5n + 10d = 285
From (1), n = 34 - d, we get
5(34 - d) + 10d = 285
⇒ 170 - 5d + 10d = 285
⇒ 5d = 285 - 170 = 115
∴ d = 115/5 = 23
Thus, the number of dime coins is 23.
So, from (1), we get n + 23 = 34 ⇒ n = 34 - 23 = 11
∴ n = 11
Thus, the number of nickel coins is 11.
If each nickel coin in the collection is replaced with a quarter, then the value of the collection is
q + d = 34 and 0.25q + 0.10d = Y
Here q = 11; d = 23
So, we get
0.25(11) + 0.10(23) = Y
⇒ 2.75 + 2.3 = Y
⇒ 5.05 = Y
∴ Y = $5.05
The value of the new collection becomes $5.05.
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What are the x - and y - coordinates of point E , which partitions the directed line segment from A to B into a ratio of 1:2 ?
x=(m/m+n)(x2−x1)+x1
y=(m/m+n)(y2−y1)+y1
A. (0, 1).
B. (−1, 3).
C. (−2, 5).
D. (1, 0).
The coordinates of point E are (0, 1), which is option A.
Describe Graph?In mathematics, a graph is a visual representation of a set of objects and the relationships between them. The objects are typically represented by points, called vertices, and the relationships between them are represented by lines or curves, called edges.
Graphs are widely used in many fields of mathematics, as well as in computer science, engineering, and the social sciences, to model and analyze complex systems and networks. For example, a graph can represent a network of computer nodes, a social network of individuals, or a system of interconnected processes.
We can use the formula given to find the coordinates of point E. Let's assign the values as follows:
x1 = 2, y1 = -3 (coordinates of A)
x2 = -4, y2 = 9 (coordinates of B)
m = 1 (ratio of 1:2)
n = 2
Using the formula x=(m/m+n)(x2−x1)+x1, we get:
x=(1/3)(-4 - 2) + 2 = 0
Therefore, the x-coordinate of point E is 0.
Using the formula y=(m/m+n)(y2−y1)+y1, we get:
y=(1/3)(9 - (-3)) - 3 = 1
Therefore, the y-coordinate of point E is 1.
Hence, the coordinates of point E are (0, 1), which is option A.
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approximate the sum of the series correct to four decimal places. [infinity] (−1)n 6nn! n = 1
The approximate sum of a series is -1.572 when the absolute value of the last term is less than 0.00005. Sum when n = 1 is -6, when n = 2, when n = 3, when n = 4, when n = 5, when n = 6, when n = 6.
The given series is: [infinity] (−1)n 6nn! n = 1We need to approximate the sum of the given series correct to four decimal places. In order to approximate the sum of a series correct to four decimal places, we need to sum the series until the absolute value of the last term is less than 0.00005. So, we have:
Sum when n = 1: \([(-1)^1 * 6^(1)]/[1!]\)= -6
Sum when n = 2: \([(-1)^2 * 6^(2)]/[2!]\)= 9
Sum when n = 3: \([(-1)^3 * 6^(3)]/[3!]\)= -7.2
Sum when n = 4: \([(-1)^4 * 6^(4)]/[4!]\)= 3.6
Sum when n = 5: \([(-1)^5 * 6^(5)]/[5!]\)= -1.296
Sum when n = 6: \([(-1)^6 * 6^(6)]/[6!]\)= 0.324
The absolute value of the 6th term is less than 0.00005, therefore, we can approximate the sum correct to four decimal places as follows:
Sum = -6+9-7.2+3.6-1.296+0.324
= -1.5720 approx. = -1.572
Therefore, the approximate sum of the given series correct to four decimal places is -1.572.
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In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.
The area of the shaded sector is 4π square units.
To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.
Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.
Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.
The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.
Plugging in the values, we have A = (90/360) * π * 4².
Simplifying, A = (1/4) * π * 16.
Further simplifying, A = (1/4) * π * 16.
Canceling out the common factors, A = π * 4.
Hence, the area of the shaded sector is 4π square units.
Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.
In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.
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the use of a tremendously large sample does not solve the question of quality for an estimator. what problems do you anticipate with very large samples? (select all that apply.) difficulty in obtaining a very large sample less outlier data cost of sampling none of these increase in standard error
Although increasing the sample size can improve the accuracy of the estimate, there are some problems that may arise with very large samples.
The following are the problems that can occur:
Difficulty in obtaining a very large sample: It may be difficult to obtain a large sample that is representative of the population and has a low bias.
Cost of sampling: Collecting data from a very large sample can be time-consuming and expensive.
None of these: This is not a problem that can arise with very large samples.
Increase in standard error: As the sample size increases, the standard error of the estimate tends to decrease, but after a certain point, increasing the sample size further may not lead to a significant reduction in the standard error, and may even increase it due to other factors such as measurement errors or non-random sampling. This is called the "law of diminishing returns".
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