Answer:
x=3
Step-by-step explanation:
3(x-2)+x-1=5
3x-6+x-1=5
4x-7=5
4x=12
x=3
Answer:
3
Step-by-step explanation:
3(x-2)+x-1=5
3(x-2)+x=6
3x-6+x=6
3x+x=12
4x=12
x=3
The diameter of the wheel of a unicycle is 0.5m. David tries to ride the unicycle and manages to go in a straight line for 27 full revolutions before falling off How far did David manage to cycle in metres? Give your answer rounded to 1 DP.
Answer:
42.4 is the answer I hope that helps
A book sold 39,300 copies in its first month of release. Suppose this represents 6.1% of the number of copies sold to date. How many copies have been sold to dat? Round your answer to the nearest whole number
Answer:
644,262 copies
Step-by-step explanation:
Since this is a proportion problem, and we are given three values and one variable which is the total number of copies sold to date (x). Then we can use the Rule of Three to solve this problem. To do this we simply multiply the diagonal values and divide by the last value which would give us the value of the variable x
39,300 copies <======> 6.1%
x copies <=======> 100%
(100*39,300) / 6.1 = 644,262 copies
Therefore, a total of 644,262 copies have been sold to date.
Please help me find the cube root of 1-i and the square root of i. Leave your answers in Trig form
Answer:
Step-by-step explanation:
in general, ______________ are more problematic than ________________ because they can produce spurious relationships.
In general, observational studies are more problematic than randomized controlled trials because they can produce spurious relationships.
Observational studies rely on the natural variation in exposures and outcomes that occur in the population, without any intervention or manipulation by the researcher.
This can lead to confounding variables, which are factors that are associated with both the exposure and the outcome and can produce a false association between them.
Randomized controlled trials, on the other hand, assign participants to different exposure groups at random, which reduces the risk of confounding and allows for a more accurate assessment of causality.
Therefore, researchers must be cautious when interpreting observational studies and consider the potential for spurious relationships.
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Find the linear approximation to the equation f(x,y)=2 3xyat the point (6,2,4), and use it to approximate f(6.18,2.13) f(6.18,2.13)≅ Make sure your answer is accurate to at least three decimal places, or give an exact answer. Question Help: Đideo Score on last try: 0 of 1 pts. See Details for more. You can retry this question below Use a tangent plane to approximate the value of the following function at the point (−4.9,3.9). Give your answer accurate to 4 decimal places. f(x,y)= 125−4x 2−y 2Use a tangent plane to approximate the value of the following function at the point (4.1,15.9) : f(x,y)=arctan(xy 2−1023) Present you answer accurate to four decimal place
The linear approximation to f(x, y) = 2 + 3xy at (6, 2, 4) is 6x + 18y - 68. Using it, f(6.18, 2.13) is approximately 7.42.
The linear approximation to the function f(x, y) = 2 + 3xy at the point (6, 2, 4) can be found using the concept of tangent planes. By taking the partial derivatives of f(x, y) with respect to x and y, we can determine the equation of the tangent plane at the given point. Then, we can use this tangent plane to approximate the value of f(6.18, 2.13).
To find the linear approximation, we start by calculating the partial derivatives of f(x, y) with respect to x and y:
∂f/∂x = 3y
∂f/∂y = 3x
At the point (6, 2, 4), the partial derivatives are:
∂f/∂x = 3(2) = 6
∂f/∂y = 3(6) = 18
Using these partial derivatives, we can construct the equation of the tangent plane:
f(x, y) ≈ f(6, 2) + ∂f/∂x(x - 6) + ∂f/∂y(y - 2)
Plugging in the values, we get:
f(x, y) ≈ 4 + 6(x - 6) + 18(y - 2)
≈ 4 + 6x - 36 + 18y - 36
≈ 6x + 18y - 68
Now, we can use this tangent plane approximation to find f(6.18, 2.13). Substituting x = 6.18 and y = 2.13 into the equation, we get:
f(6.18, 2.13) ≈ 6(6.18) + 18(2.13) - 68
Calculating the expression, we find:
f(6.18, 2.13) ≈ 37.08 + 38.34 - 68
≈ 7.42
Therefore, the approximation for f(6.18, 2.13) using the linear approximation is approximately 7.42.
In summary, the linear approximation to the function f(x, y) = 2 + 3xy at the point (6, 2, 4) is given by the equation 6x + 18y - 68. Using this tangent plane approximation, the value of f(6.18, 2.13) is approximately 7.42.
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HEELPPP PPPPLSSSS AHHH
Answer:
3
Step-by-step explanation:
18/6=3
There are 6 women and 9 men eligible to be in a committee of 5. Find the expected number of women on the committee given that at least one woman must be on the committee. Round the probabilities of the distribution to four decimal places or keep them as fractions. Round the answer to two decimal places.
Answer:
P = 0.2517
Step-by-step explanation:
In this case we must calculate the probability of event, which would be the number of specific events (that is, at least one woman and the rest men, 4), then it would be to choose 1 of 6 women by 4 of 9 men divided by the number of total events, which would be to choose 5 (committee size) out of 15 (9 men + 6 women, total number of people)
P (at least one woman) = 6C1 * 9C4 / 15C5
we know that nCr = n! / (r! * (n-r)!)
replacing we have:
6C1 = 6! / (1! * (6-1)!) = 6
9C4 = 9! / (4! * (9-4)!) = 126
15C5 = 15! / (5! * (15-5)!) = 3003
Therefore it would be:
P (at least one woman) = 6 * 126/3003
P = 0.2517
That is, approximately 1 out of 4 women.
factor the polynomial FULLY?
Step-by-step explanation:
4x²-64
(2x)²-(8)²
a²-b²=(a+b)(a-b)
=(2x+8)(2x-8)
Therefore, the factors are -4 and 4.
The jug can hold 1500ml. The bucket can hold 2 litres. The barrel can hold 15 litres. Anisa wants to fill the barrel with water. Find 2 ways that Anisa can fill the barrel using the jug and bucket
Answer:
1. Using the jug 6 times and the bucket 3 times
2. Using the bucket 6 times, then using the jug two times
Step-by-step explanation:
Firstly, let’s remember that 1000 ml = 1l
Thus 2L = 2000 ml
And 15L = 15,000 ml
So the situation we are having now is that we want to fill a barrel of 15,000 ml using a jug of 1500 ml and a bucket with a capacity of 2000 ml
Firstly, the first way is using the bucket 6 times and the jug 2 times
What i mean by this is using the bucket 6 times bringing the total volume from the bucket as (6* 2000) = 12,000 ml
Then we are left with 15,000-12,000 = 3,000 ml
Now, she can fill the barrel with 2 times the full volume of the jug making 3,000
Secondly, she can also use the combination of both.
She can use the bucket 6 times and the jug 2 times
The total volume in each case here would be;
For the bucket; (2,000 * 6) = 12,000 ml
while for the jug, we have (1500 * 2) = 3,000 ml
And thus we shall be having a total of 12,000 + 3,000 = 15,000 ml this way
Can someone plz help me
In solving the beam equation, you determined that the general solution is X. y = = 1/2x^4 - 1/6q₁ x^3 + 1/2 x. Given that y'' (1) = 3 determine q1 ₁
We have the general solution of the beam equation: y = 1/2 x⁴ - (1/6)q₁ x³ + (1/2) x
Given that y'' (1) = 3
So we can find the second derivative of y: y' = 2x³ - (1/2)q₁x² + (1/2)and y'' = 6x² - q₁x
Therefore, y''(1) = 6 - q₁
From the given information: y''(1) = 3
Putting this value into the above equation:3 = 6 - q₁=> q₁ = 6 - 3=> q₁ = 3
The value of q₁ is 3.
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Find the probability that in a single roll of a die, an odd number or a number greater than 2 comes up.A.1B.5/6C.4/6D.6
As given by the question
There are given that the roll of die.
Now,
In the die, there are total outcomes is 6.
And,
The value in die which is odd number is:
1, 3, 5,
The number that an odd number or a number greater than 2
So, the succesfull outcomes is:
1, 3, 4, 5, 6.
Then,
The probability will be:
\(\begin{gathered} P=\frac{\text{succesfully outcomes}}{\text{total numbers of outcomes}} \\ P=\frac{\text{5}}{\text{6}} \end{gathered}\)Hence, the correct option is B
How is this proportional?
Answer:
you are subtracting 1.40 everytime to get the number at the bottom
Step-by-step explanation:
2 - 1.40 = 1.40
3 - 1.40 = 2.40
6 - 1.40 = 5.40
7 - 1.40 = 6.40
Which exhibits a learned behavior?
Responses
A Baby birds beg for food when a parent nears.Baby birds beg for food when a parent nears.
B Salmon return to their birth place for mating.Salmon return to their birth place for mating.
C A dog runs to his dish when his owner opens the back door.A dog runs to his dish when his owner opens the back door.
D A person blinks when a baseball is thrown at their face.A person blinks when a baseball is thrown at their face.
80 points
Answer:
C A dog runs to his dish when his owner opens the back door. A dog runs to his dish when his owner opens the back door.
this is the correct answer hope it helps
Step-by-step explanation:
Answer:
C. A dog runs to his dish when his owner opens the back door.
Dogs learn over time about things their owners do.
The managers of an airline analyzed a random sample of flights and found that 95% of the flights arrived on time. The airline has 480 flights scheduled for next week. What is the BEST estimate of the number of these flights that will NOT arrive on time?
Answer:
456
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
How do you write a homogeneous system in parametric vector form?
A homogeneous system in parametric vector form:
(x1,x2,x3) = (s,s,-0.25s)
Parametric vector Form:
Any equation expressed as a parameter is a parametric equation. The general equation y = mx + b (where m and b are parameters) of a straight line in the form of a slope intersection is an example of a parametric equation. Example: one of the variables to t(x = t). Then we can rewrite this equation as y = t²+5.
So the set of parametric equations is x = t and y=t²+5.
According to the Question:
We are to solve them in parametric form.
X₁ + 2X₂ + 12X₃ = 0 ----------------------- (1)
2X₁ + X₂ + 12X₃ = 0 ----------------------- (2)
-X₁ + X₂ = 0 ----------------------- (3)
From equation 3 we get
x₁ = x₂
Substitute in 1 and 2 to get
3x₁ + 12x₃ = 0 and
3x₁ + 12x₃ = 0
Thus, we find these two equations are dependent. So we can have infinite solutions in parametric form only.
No unique solution is possible
Let x₁ = x₂ = s
Since 3x₁ +12x₃ = 0
x₁ = -4x₃
Or x₃ = -0.25s
So solution in parametric form is
(x1,x2,x3) = (s,s,-0.25s) for all real values.
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Please help! Correct answer only please! I need to finish this assignment by today.
On a residential single lane road there was a wreck that backed up traffic for 4 miles. 70% of the traffic consists of cars and 30% of the traffic consists of trucks. the average distance between vehicles is 3 feet. the average length of a car is 13.5 feet and the average length of a truck is 20 feet. estimate how many vehicles are stuck in the traffic jam.
(hint: there are 5280 feet in 1 mile)
A) 276
B) 896
C) 1172
D) 1412
Answer: 1412 vehicles.
Step-by-step explanation: I calculated my answers and I approximately got this anwse so... Hope it helps.
I need help please Will mark brainliest
Answer:
which ones do you need answered
Step-by-step explanation:
In one week, a printing center made 1,232 copies of a 26 page article. The printing center also printed 639 copies of a 14 page essay. How many pages did the printing center print during the week?
Answer: they printed 40,978 pages in a week
Give a fully simplified expression for \( \sin \left(\cos ^{-1}\left(\frac{b}{9}\right)\right) \). Your answer should have no trigonometric functions.
The fully simplified expression for\(\( \sin \left(\cos ^{-1}\left(\frac{b}{9}\right)\right) \) is \( \sqrt{1 - \left(\frac{b}{9}\right)^2} \).\)This expression represents the square root of one minus the square of\(\( \frac{b}{9} \),\) without any trigonometric functions.
To derive this expression, we start with the inverse cosine function, \(\( \cos^{-1}(x) \),\) which represents the angle whose cosine is equal to\(\( x \).\) In this case, \(\( x = \frac{b}{9} \).\)So, \(\( \cos^{-1}\left(\frac{b}{9}\right) \) r\)epresents the angle whose cosine is\(\( \frac{b}{9} \).\)
Next, we take the sine of this angle, which gives us \(\( \sin \left(\cos^{-1}\left(\frac{b}{9}\right)\right) \).\)Since sine and cosine are complementary functions, we can use the Pythagorean identity \(\( \sin^2(x) + \cos^2(x) = 1 \)\)to simplify the expression. Plugging in\(\( x = \frac{b}{9} \), we get \( \sin^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right) + \cos^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right) = 1 \).\)
Since \(\( \cos^{-1}\left(\frac{b}{9}\right) \)\)represents an angle, its cosine squared is equal to \(\( 1 - \sin^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right) \).\) Substituting this back into the equation, we have\(\( \sin^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right) + \left(1 - \sin^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right)\right) = 1 \).\)
Simplifying further, we get \(\( 2\sin^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right) = 1 \), and solving for \( \sin^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right) \) gives us \( \frac{1}{2} \).\)Taking the square root of both sides, we obtain\(\( \sin\left(\cos^{-1}\left(\frac{b}{9}\right)\right) = \sqrt{\frac{1}{2}} \).\)
Finally, simplifying the square root expression gives us \(\( \sqrt{1 - \left(\frac{b}{9}\right)^2} \),\)which is the fully simplified expression for \(\( \sin\left(\cos^{-1}\left(\frac{b}{9}\right)\right) \).\)
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Jaon went hopping
He bought a watch and a pair of trainer for a total price of £53. 55
Thi price include a 15% loyalty dicount
Before the dicount, the trainer were priced at £38
Work out the price of the watch before the dicount
The price of the watch before the discount is calculated to be £24.44.
As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;
discount on a pair of trainers = 15/100 × 38 = £5.7
cost of trainers after discount = £38 - 5.7 = £32.3
Now the price of the watch after the discount can be calculated by subtraction as follows;
price of watch after discount = total price - price of trainers after discount
price of watch after discount = £53. 55 - £32.3
price of watch after discount = £21.25
Now the price of the watch before the discount can be calculated as follows;
price of watch before discount = £21.25 × 15/100
price of watch before discount = £21.25 + £3.1875
price of watch before discount = £24.44
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PLz answer i really dont know math plz tell me the correct answer
Answer:
a
Step-by-step explanation:
With the equation I did 8 * -3/4 + 8 because and I did that with the rest but the only table that is correct using the equation is table a. Hope this helps! :)
how do i sketch a graph of y=2x that passes through the origin
Step-by-step explanation:
Given
Equation of line is \(y=2x\)
Equation of line with slope m and intercept c on Y-axis is
\(y=mx+c\)
Comparing the given line with slope-intercept form
\(\Rightarrow m=2\ \text{and}\ c=0\)
The slope is also equal to \(\tan \theta\)
\(\Rightarrow \tan \theta =2\\\Rightarrow \theta =63.43^{\circ}\)
To sketch the equation of \(y=2x\)
Make a line that passes through the origin at an angle of \(63.43^{\circ}\) with the x-axis.alma walks around her neighborhood according to the path below. in total, she walks 50 blocks.
A. Write an equation that represents Alma's walk.
B. Solve the equation for x.
Answer:
Hey there!
The equation is x+2x+5+6x-17+3x+2, or 12x-10
12x-10=50
12x=60
x=5
Let me know if this helps :)
6. a medical study was investigating if getting a flu shot actually reduced the risk of developing the flu. a hypothesis test is performed. suppose the null hypothesis was not rejected at a significance level of 0.05 the power of the test was 0.85 what type of error could be made and what is the probability of making that erro?
A type II error could be made with a probability of 0.15.
In the given question, a medical study was investigating if getting a flu shot actually reduced the risk of developing the flu.
A hypothesis test is performed. suppose the null hypothesis was not rejected at a significance level of 0.05 the power of the test was 0.85.
We have to find type of error could be made and what is the probability of making that error.
Power of the test was 0.85.
The null hypothesis was not rejected at a significance level of 0.05.
So the possibility of error = 1 - Power
The possibility of error = 1 - 0.85
The possibility of error = 0.15
Type II error: Fail to reject H(0)
A type II error could be made with a probability of 0.15.
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Which of the following set of hypotheses is used to test if the mean of the first population is smaller than the mean of the second population, using matched-paired sampling?
H0: µ1 – µ2 ≤ 0, HA: µ1 – µ2 > 0
H0: µ1 – µ2 ≥ 0, HA: µ1 – µ2 < 0
H0: µD ≤ 0, HA: µD > 0
H0: µD ≥ 0,HA: µD < 0
The correct option H0: µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.
Explain the term matched-paired sampling?Paired testing, commonly referred to as auditing, is a practical and easy technique to determine whether and how discrimination is present.
In a paired exam, two individuals are given fictional identities and credentials that are equivalent in all significant ways.Each member of such a sample is paired with a matching member in every sample by comparison to characteristics other than those that are now the subject of the research. This results in a pair or set of matched samples.By "removing" the potential impacts of other variables, matching aims to produce better estimates of differences.The participants in matched samples (also known as matched pairs, paired samples, or dependent samples) were paired up so that they share all characteristics except the one that is being studied.Thus, µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.
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A(-4,-2), B(-1,-1), C(-1,-4)
what are the coordinate of triangle ABC when reflected over the line y=-x?
A). A'(-2,4), B'(1,1), C(-4,1)
B). A'(2,4), B'(1,1), C(4,1)
C). A'(4,2), B'(1,2), C'(2,1)
D). A'(2,4), B'(1,-1),C' (4,-1)
Answer:
B
Step-by-step explanation:
Fip numbers and change both signs when reflecting over y=-x
Answer:
C
Step-by-step explanation:
Suppose that my errors for Months 1−6 are (in order) −10,−2,3,−5,4, and −8. What is my Mean Absolute Deviation over Months 3-6?
a. −1.5
b. 5
c. 8
d. −3
The Mean Absolute Deviation over Months 3-6 is 5.
Correct answer is option C) 5
To calculate the Mean Absolute Deviation (MAD) over Months 3-6, we need to follow these steps:
Identify the errors for Months 3-6: The errors for Months 3-6 are 3, -5, 4, and -8.
Calculate the absolute value of each error: Taking the absolute value of each error gives us 3, 5, 4, and 8.
Find the sum of the absolute errors: Add up the absolute errors: \(3 + 5 + 4 + 8 = 20.\)
Divide the sum by the number of errors: Since there are 4 errors, we divide the sum (20) by 4 to get the average: 20/4 = 5.
Determine the Mean Absolute Deviation: The MAD is the average of the absolute errors, which is 5.
Therefore, the Mean Absolute Deviation over Months 3-6 is 5.
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Write each number as a power of 10 using negative exponents.
1.
\( \frac{1}{1000} \)
2.
\( \frac{1}{10} \)
Answer:
Step-by-step explanation:
One
If the number was 1000, you just count the numbers starting at the right until you get a number that is between 1 and 10
So starting at the right, you get to go 3 places towards the left. You get the number one, so 1000 would be written as 1 * 10^3.
The the given number is a fraction the rule is Add a minus sign
Answer: 1/1000 = 1 * 10^-3
Two
10 is 10^1 in scientific notation
1/10 = 10^-1
Answer: 1/10
the height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16 centimeters. which measurement is closest to the volume of cylinder in cubic cintemeters
a: 251.3
b: 4,021.2 cm
c:251.3 cm
d:628.3 cm
Answer:
Should be 251.3 cm^3
Step-by-step explanation:
Use the formula for volume of cylinder