Answer: x= 6
Step-by-step explanation:
2 +x + 1 = 2x -3
1x + 3 = 2x -3
+3 +3
1x + 6 =2x
-1x -1x
6= 1x
x= 6
What is the x-intercept for the equations y = 2x + 4
Answer:
This seems incomplete can you provide more information
Step-by-step explanation:
Which expression is equivalent to 3(−5.5b − 3) − (5b + 7)?
11.5b + 4
−21.5b − 2
−21.5b − 16
11.5b − 16
Answer:
-21.5b - 16
Step-by-step explanation:
Simplify the expression
3(−5.5b − 3) − (5b + 7)
-16.5b - 9 - 5b - 7 [Expand the parentheses]
-21.5b - 16 [Add like terms]
This matches the third option.
We have taken 12 samples of 400 book pages and found the following proportions of defective pages: .01, .02, .02, .00, .01, .03, .02, .01, .00, .04, .03, and .02. A page is considered defective when one or more errors are detected. Calculate the control limits for a p control chart. A new sample of 400 pages is taken, and 6 pages are defective. Is the process still in control
The control limits for a p control chart is (0 < p < 0.0359),
We are given that;
12 samples= .01, .02, .02, .00, .01, .03, .02, .01, .00, .04, .03, and .02.
Now,
Substitute all known values into the equation from step 4, then solve for the unknown quantity. We know that k = 12 and n = 400. We can calculate p by adding up all the p values in the table and dividing by k:
\($$\bar{p} = \frac{\sum_{i=1}^{k}p_i}{k}$$$$\bar{p} = \frac{0.01 + 0.02 + ... + 0.03 + 0.02}{12}$$$$\bar{p} = \frac{0.21}{12}$$$$\bar{p} = 0.0175$$\)
We can choose z = 3 for a high confidence level and plug in all the values into the equations for UCL and LCL:
\($$UCL = \bar{p} + z\sqrt{\frac{\bar{p}(1-\bar{p})}{n}}$$$$UCL = 0.0175 + 3\sqrt{\frac{0.0175(1-0.0175)}{400}}$$$$UCL \approx 0.0175 + 3(0.0062)$$$$UCL \approx 0.0359$$$$LCL = \bar{p} - z\sqrt{\frac{\bar{p}(1-\bar{p})}{n}}$$$$LCL = 0.0175 - 3\sqrt{\frac{0.0175(1-0.0175)}{400}}$$$$LCL \approx 0.0175 - 3(0.0062)$$$$LCL \approx -0.0009$$\)
Since LCL is negative, we can set it to zero, as negative proportions are not meaningful.
Therefore, the control limits for a p control chart are UCL = 0.0359 and LCL = 0.
To check if the process is still in control, we need to compare the proportion of defective pages in the new sample with the control limits. The new sample has 6 defective pages out of 400, so the proportion is:
\($$p = \frac{6}{400}$$$$p = 0.015$$\)
Since p is within the control limits (0 < p < 0.0359), we can conclude that the process is still in control.
Therefore, by sample the answer will be (0 < p < 0.0359).
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Pls help only got a little time left
Answer:
EF = 0.6
Step-by-step explanation:
Tangent CD touches the circle at D
⇒ CD⊥ DO
⇒ ∠CDO = ∠CDF = 90°
⇒ CDF is a right angled triangle
⇒ CD² + DF² = CF²
⇒ 2.4² + 1.8² = CF²
⇒ CF² = 9
⇒ CF = √9
⇒ CF = 3
Also,
⇒ CF = CE + EF
⇒ CE + EF = 3 -----------eq(1)
The tangents to a circle from an external point are equal lenght
Here C is the external point
⇒ CD = CE
⇒ CE = 2.4
sub in eq(1),
2.4 + EF = 3
⇒ EF = 3 - 2.4
⇒ EF = 0.6
Given n with chord AB, which point lies on the perpendicular bisector of AB?
The Midpoint of AB ((x1 + x2)/2, (y1 + y2)/2) lies on the perpendicular bisector of AB.
Which point lies on the perpendicular bisector of AB?Assuming that chord AB is a straight line segment, the point that lies on the perpendicular bisector of AB is the midpoint of AB. This is because the perpendicular bisector of a line segment is a line that passes through the midpoint of the segment and is perpendicular to it.
Therefore, to find the point that lies on the perpendicular bisector of chord AB, we need to find the midpoint of AB. This can be done by finding the average of the x-coordinates and the average of the y-coordinates of points A and B, respectively.
Let (x1, y1) and (x2, y2) be the coordinates of points A and B, respectively. Then the midpoint of AB is:
((x1 + x2)/2, (y1 + y2)/2)
This point lies on the perpendicular bisector of AB.
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I need to know the answer please…
If a is a bigger number than b what will (b - a) give you? positive or negative
Answer:negative
a>b
b-a<0 (negative)
pls help ill give brainliest !!
Answer:
4
Step-by-step explanation:
\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the linear equations.
so we solve here as,
==> -4(-2y+3)=20
==> 8y -12 = 20
==> 8y = 20+12
==> 8y = 32
==> y = 4
hence value of y = 4 .
What type of argument is this? "All cubes are square. A dice is a cube. Therefore, a dice must be square."
The argument presented is an example of a fallacy known as affirming the consequent, which incorrectly assumes that if the consequent of a conditional statement is true, then the antecedent must also be true. It fails to consider other possibilities and overlooks the fact that not all square shapes are cubes.
The argument presented is an example of a fallacy known as affirming the consequent, which is a formal logical fallacy. This fallacy occurs when one assumes that if the consequent (the "then" part) of a conditional statement is true, then the antecedent (the "if" part) must also be true.
In this case, the argument incorrectly assumes that because all cubes are square (if cube, then square) and a dice is a cube, then the dice must be square. However, this reasoning is flawed. While it is true that all cubes are square, not all square shapes are cubes. Therefore, even though a dice is a cube, it does not necessarily mean that it must be square.
The argument fails to consider other possibilities, such as the fact that cubes can have other shapes besides squares, like rectangular cubes. This logical error highlights the importance of careful reasoning and avoiding fallacies when making arguments.
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How do you write 1.8 × 10–3 in standard form?
Answer:
0.0018
Step-by-step explanation:
8x−6=2(4x+3) how many solutions are there for this equation?
Answer:
undefined
Step-by-step explanation:
8x - 6 = 8x + 6
8x - 8x = 6 + 6
0x = 12
x = 12/0
undefined
The number of the solution of the equation 8x - 6 = 2(4x + 3) will be zero. Because the value of x is not defined.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The linear equation is given below.
8x - 6 = 2(4x + 3)
Simplify the equation, then the number of the solution will be
8x - 6 = 2(4x + 3)
8x - 6 = 8x + 6
0x = 12
x = 12/0
x = Not defined
The number of the solution of the equation 8x - 6 = 2(4x + 3) will be zero. Because the value of x is not defined.
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Find the direction in which the function y I+Z f(x, y, z) - at the point [ increases most. Compute this maximal rate of change. (b) Calculate the flux of the vector field F(x, y, z) Ty³ 3 across the surface S, where S is the surface bounding the solid E-{x² + y² ≤9, -1 <=<4}. (c) Let S be the part of the plane z 1 + 2r + 3y that lies above the rectangle [0, 1] x [0, 2]. Evaluate the surface integral s fyzds.
The maximal rate of change is given by the magnitude of the gradient vector: ||∇f||. Here, F = [T, y³, 3] is the vector field, and dS is the outward-pointing vector normal to the surface S. Therefore, the answer for option b is Flux = ∬S F · dS
So, let's calculate the gradient vector (∇f) and evaluate it at the point [x₀, y₀, z₀].
∇f = [∂f/∂x, ∂f/∂y, ∂f/∂z]
The maximal rate of change is given by the magnitude of the gradient vector: ||∇f||.
(b) To calculate the flux of the vector field F(x, y, z) = [T, y³, 3] across the surface S, we can use the surface integral:
Flux = ∬S F · dS
Here, F = [T, y³, 3] is the vector field, and dS is the outward-pointing vector normal to the surface S.
(c) To evaluate the surface integral ∬S fyz dS over the surface S, we need the parametric equations of the surface S.
Therefore, the answer for option b is Flux = ∬S F · dS
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The base of a parallelogram is six more than twice the height. The height is 5 inches. What is the length of the base?
The length of the base of the parallelogram is 16 inches.
What is parallelogram?
A parallelogram is a four-sided plane figure with opposite sides parallel and congruent (having the same length). This means that the opposite sides of a parallelogram are parallel to each other and have the same length. Additionally, the opposite angles of a parallelogram are equal in measure, which means they have the same degree of rotation.
Let's use the information given in the problem to set up an equation and solve for the length of the base.
From the problem, we know that the height of the parallelogram is 5 inches.
h = 5
We also know that the base of the parallelogram is six more than twice the height. Let's use b to represent the length of the base:
b = 2h + 6
Now we can substitute the value we know for the height and solve for the base:
b = 2(5) + 6
b = 10 + 6
b = 16
Therefore, the length of the base of the parallelogram is 16 inches.
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The digit 2 in which number represents a value of
0.002?
Choose 1 answer:
A 162
B 8.032
C 0.324
For y = f(x) = 9x^3 , x = 4 , and Delta*x = 0.05 find
a) Delta*y for the given x and Delta*x values,
b) dy=f^ prime (x)dx
c) dy for the given x and Ax values.
a) To find Δy for the given x and Δx values, we can use the formula:
Δy = f'(x) * Δx
First, let's calculate f'(x), the derivative of f(x):
f'(x) = d/dx (9x^3)
= 27x^2
Substituting x = 4 into the derivative, we get:
f'(4) = 27(4)^2
= 27(16)
= 432
Now, we can calculate Δy using the given Δx = 0.05:
Δy = f'(4) * Δx
= 432 * 0.05
= 21.6
Therefore, Δy for the given x and Δx values is 21.6.
b) To find dy, we can use the formula:
dy = f'(x) * dx
Using the previously calculated f'(x) = 432 and given dx, which is Δx = 0.05:
dy = 432 * 0.05
= 21.6
Therefore, dy for the given x and dx value is 21.6.
c) For the given x and Ax values, we need to calculate Δy when Δx = Ax.
Using the previously calculated f'(x) = 432 and given Ax = Δx = 0.05:
Δy = f'(4) * Ax
= 432 * 0.05
= 21.6
Therefore, Δy for the given x and Ax values is 21.6.
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Solve the inequality
3(x-2)>-3
Answer:
x>1
Step-by-step explanation:
m at h w ay
1+2
Please help
filler filler filler
Answer:
1+2=3 is answer
Step-by-step explanation:
so what help u need?
At a certain store a half gallon jug of milk cost 2.95 and a gallon jug of milk costs 5.95. Which milk has cheaper price?
Answer:
The first milk
Step-by-step explanation:
2.95 × 2 = 5.90
The first milk has cheaper price.
an airplne can cruise at 640 mph how far can it fly in 3/5 of an hour
The plane can fly 384 miles in 3/5 hours.
An airplane can cruise at 570 miles per hour.
We have to find the distance travelled by airplane in 4/3 hours.
Distance = Speed x Time
Distance = 640 x 3/5
Distance = 128 x 3
Distance = 384 miles
Hence, The plane can fly 384 miles in 3/5 hours.
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3x= 5+7x solve for x
Answer:
x = -5/4
Step-by-step explanation:
3x= 5+7x (subtract 7x from both sides)
3x - 7x = 5
-4x = 5 (divide both sides by -4)
x = 5/(-4)
x = -5/4
The __________________ is the appropriate measure of spread to describe the data.
Answer:
range
Step-by-step explanation:
You subtract the maximum-minimum to find the range or spread (they mean basically the same thing in math)
dkdjeneoskdnbssksksksjd
Answer: D
Step-by-step explanation:
I don't know how to explain it that's just the answer
I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?
The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).
Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.
Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).
Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).
Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).
To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.
(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)
Expanding this expression, you get:
(0+a+b, 1+a+b, 0+a, 0+b)
Simplifying, you obtain the following set of solutions:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Therefore, the correct set of possible results would be:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.
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2350 to one significant figure
Answer:
2000
Step-by-step explanation:
If there is only one signiciant figure without a decimal point, then the left-most figure is when counting begins.
Answer:
2000
Step-by-step explanation:
Sam is on a game show with a score of -250. If he scores 450 points what is his new score?
Answer:
200 points
Step-by-step explanation:
1. Since 450 is a positive value, we have to add 450 to -250 to get the new total.
2. (Solving)
\(-250 + 450\) \(-250 + 450 = 450 - 250\) \(450 - 250\) \(200\)Therefore, Sam's new score is 200 points.
Find SP when CP=Rs.400 and profit%=4%
Answer:
Rs 416Step-by-step explanation:
Given,
Cost Price ( CP ) = Rs 400
Profit % = 4 %
Selling price ( SP ) = ?
now, Let's find the value of SP:
SP = \( \frac{CP \: (100 + \: profit percent \: )}{100} \)
Plug the values
\( = \frac{400(100 + 4)}{100} \)
Add the numbers
\( = \frac{400 \times 104}{100} \)
Multiply the numbers
\( = \frac{41600}{100} \)
Divide
= Rs \(416\)
Selling price ( SP ) = Rs 416
Hope this helps...
Best regards!!
what is 2x3x5x6? havin trouble
Which of the following is correct equation for the trend line in the scatter plot? A. Y= 2/5 x -2 B. Y= 5x-1 C. Y= 5x +5 D. Y= -x+5
Answer: C. Y = 5x + 5
Step-by-step explanation:
We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. See attached for a visual.
First, we will find our slope. We will use \(\frac{rise}{run}\) for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.
-> Slope = 5
Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.
-> Y-intercept = 5
Lastly, we will write our equation and decide on an answer.
y = mx + b
y = (5)x + (5)
Y = 5x + 5
C. Y = 5x + 5
If m H= 68°, what is HI to the nearest tenth? Show your work.
Answer: HI = 5.3 cm
Let HI = x
GH = 2cm
m< H = 68 degrees
to find HI, we will need to apply the SOH CAH TOA RULE
HI = hypotenus
GH = adjacent
Cos 68 = adjacent / hypotenus
Cos 68 = 2 / x
Cross multiply
2 = x * cos 68
cos 68 = 0.3746
2 = x * 0.3746
Isolate x
x = 2/0.3746
x = 5.3cm
Therefore, HI is 5.3cm
Find the population mean or sample mean as indicated.
Sample: 24, 16, 1, 11, 23
Select the correct choice below and fill in the answer box to complete your choice.
A. x=__
B. μ=__
As given data represents the sample so here correct choice is given by
sample mean \(\bar {x}\) = 15.
As given in the question,
Data represents the sample :
Sample : 24 , 16, 1, 11, 23
Let \(x_{i}\) represents the each sample value of the give data where i is equals to 1 to 5:
x₁ x₂ x₃ x₄ x₅
24 16 1 11 23
It represents the sample , therefore correct choice for calculating mean is sample mean.
Sample Mean \(\bar{x}\) = ( x₁ + x₂ + x₃ + x₄ + x₅ ) / 5
= ( 24 + 16 + 1 + 11 + 23 ) /5
= 75 /5
= 15
Therefore, as given data represents the sample so here correct choice is given by sample mean \(\bar {x}\) = 15.
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