What is the image point of (3,8) after a translation right 4 units and up 1 unit?

The correct statement true about the two points of intersection in Step 3 is,

⇒ They are the same distance from AB.

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

Given that;

Steps are,

Step 1: Place a compass at A. Use a compass setting that is greater than half the length of AB and draw an arc.

Step 2: Keep the same compass setting. Place the compass at B. Draw an arc.

Step 3: Draw a line through the two points of intersection of the arcs.

Now, Cleary this method is used to divide a line in two equal parts.

Hence, The correct statement true about the two points of intersection in Step 3 is,

⇒ They are the same distance from AB.

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The probability that the mean weight of 20 randomly picked fruit will be between 752 grams and 766 grams can be calculated using the Central Limit Theorem. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the mean will be approximately normally distributed regardless of the shape of the population distribution.

In this case, the mean weight of the fruit is normally distributed with a mean of 744 grams and a standard deviation of 37 grams.

To find the probability, we need to standardize the values of 752 grams and 766 grams using the formula z = (x - μ) / (σ / √n), where z is the standard score, x is the value, μ is the mean, σ is the standard deviation, and n is the sample size.

For 752 grams:
z1 = (752 - 744) / (37 / √20) = 0.589

For 766 grams:
z2 = (766 - 744) / (37 / √20) = 1.573

Now, we can use a standard normal distribution table or a calculator to find the probability between these two z-scores.

Using the standard normal distribution table, the probability between z1 = 0.589 and z2 = 1.573 is approximately 0.1398 or 13.98%.

Therefore, the probability that the mean weight of 20 randomly picked fruit will be between 752 grams and 766 grams is approximately 0.1398 or 13.98%.

Please note that the calculation assumes the weights of the fruit are independent and identically distributed.

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All of the lines are parallel, and the top line is perpendicular to them, all of the lines are perpendicular to the top line due to the transitive property of parallel lines.

A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square between two perpendicular lines as shown in the figure. Here, the two lines intersect at a right angle, and hence, are said to be perpendicular to each other.

The perpendicular transverse theorem shows that in a plane, if one line is perpendicular to one of two parallel lines, then it is perpendicular to the other line as well.

Based on that theorem, we can conclude that the sheets of metal are all perpendicular to the top line of the roof.

Therefore, all of the lines are parallel, and the top line is perpendicular to them, all of the lines are perpendicular to the top line due to the transitive property of parallel lines.

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Answer:

a= 20

b=20

Step-by-step explanation:

9b-6a-20 = b+a

or, 8b-7a-20 = 0

or, 8b = 20+7a

or, b = (20+7a)/8

now

a-2b+34 = 9b-10a+34

substituting b's value as (20+7a)/8

or, a-2(20+7a)/8+34 = 9(20+7a)/8-10a+34

or, a-(20+7a)/4 = (180+63a)/8-10a

or, (4a-20-7a)/4 = (180+63a-80a)/8

or, -3a-20 = (180-17a)/2

or, -6a-40 = 180-17a

or, 11a=220

a = 20

now

b=(20+7a)/8

or, b = (20+7×20)/8

or, b = (20+140)/8

or, b = 160/8

so, b = 20

The equation of the plane is ⟨0, 0, -xt, -y⟩. ⟨(x-1), y, z, t⟩ = 0.

Given that the equation for the line is x, y, z, t.

The equation for the plane perpendicular to the given line can be calculated as follows:

Firstly, we know that the vector which is perpendicular to both the line and the plane is the direction of the plane.

Hence the direction of the plane is the cross product of the vector with the given line direction:⟨1, 0, 0, 0⟩ × ⟨x, y, z, t⟩= ⟨0t - 0z, 0z - 0t, 0y - xt, 0x - y⟩= ⟨0, 0, -xt, -y⟩Hence the direction of the plane is ⟨0, 0, -xt, -y⟩.

Now, we need to find any point (x0, y0, z0, t0) on the plane.

Let's assume that the point is (1, 0, 0, 0) since it lies on the line.

Then the equation of the plane can be obtained as:⟨0, 0, -xt, -y⟩ .

⟨(x-x_0), (y-y_0), (z-z_0), (t-t_0)⟩ = 0⟨0, 0, -xt, -y⟩ . ⟨(x-1), y, z, t⟩ = 0

The equation of the plane perpendicular to the line x, y, z, t is given as ⟨0, 0, -xt, -y⟩. ⟨(x-1), y, z, t⟩ = 0.

Therefore, the equation of the plane is ⟨0, 0, -xt, -y⟩. ⟨(x-1), y, z, t⟩ = 0.

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Answer:

153.6

Step-by-step explanation:

Answer:

153.6

Step-by-step explanation:

32x4=128

128x3=384

384x2=768

768/5=153.6

Answer:

The value of x could be anything. You need to give me a formula or I can't give you the answer.

Step-by-step explanation:

Answer:

x can be any number, 1, 2, 3, 4, 5, etc.....

If you have a formula, then I can solve it and find what number x is.

So remember, x can be any number, depending on the formula.

Hope this Helped!

Have a GOOD DAY!

\(\dfrac{6\cdot10^5}{2\cdot10^2}=3\cdot10^3=3000\)

3000 times larger.

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

The race result will not be disqualified due to an illegal wind.

In order to determine whether the wind velocity during the race was legal, we need to compare the wind velocity w to the legal wind speed limit of 5 km/hr. In this case, the wind velocity is given as 5ij km/h, which is purely vertical wind. The direction of the wind is not relevant in this case, since the race is run in the direction of the vector v, which is a purely horizontal direction. Since the wind velocity w is purely vertical and the race is run in a purely horizontal direction, the wind velocity w has no effect on the race result. Therefore, the race result will not be disqualified due to an illegal wind.

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98% of 25,000 is 24,500.

So from this, we can make the inequality:

25,000 - 500x

x = 5 days.

May I have brainliest please? :)

Answer:

500

Step-by-step explanation:

At least means 25000 and bigger. But 25000 is included in the inequality.

You should write an inequality to to represent the number of pieces of luggage

x ≥ 25000

100% - 98% = 2%

2% of all luggage lost is never found. Multiply both sides of x ≥ 25000 by 2%

2 percent x ≥ 25000 * 2%

2 percent x ≥ 500

Note that 2 percent is not an algebraic variable. 2% is. 2% = 2/100, but that is not what you want on the left.

Answer:

Standard form is Ax + By = C

Step-by-step explanation:

Answer:

The standard form is Ax + Bx = C

Answer:

A

Step-by-step explanation:

C means the number of miles into the city, while H means the miles on the highway. If (c,h) becomes (138,200), this means that c=138 and h=200. So, 138 miles can be traveled into the city while 200 can be traveled on the highway. hope this helps!

Answer:

-1/3

Step-by-step explanation:

Slope is rise over run.

The rise (or fall) of this graph is: 4

The run of this graph is: 12

So, the slope is -4/12 as the graph is negative. However, you may simplify this by dividing by 4.

That gives you -1/3

Hope this helps!

Step-by-step explanation:

The slope is represented as:

\(\frac{y}{x}\) (Rise over Run)

To find the slope, we must use the slope formula.

Formula:

\(\boxed{m=\frac{y2}{x2}-\frac{y1}{x1} }\)

Key:

m represents the slope.

y2 and x2 represent the second point.

y1 and x1 represent the first point.

Find 2 points on the line provided:

(-6, 6)

(6, 2)

Substitute the points into the formula format:

\(m=\frac{2}{6} -\frac{6}{-6}\)

\(m=\frac{-4}{6 \:+\: 6}\)

Simplify:

\(m=\frac{-4 \div 4}{12 \div 4} = -\frac{1}{3}\)

\(-\frac{1}{3} \: is \: your \: slope.\)

Answer:

y= -2x-22.

Step-by-step explanation:

1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;

2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);

3) the required equation in slope-interception form is:

y+16= -2x-6; ⇒ y= -2x-22.

note, the provided solution is not the only and shortest way.

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

In this case, the experimental probability is D. 0.860

First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.

A. 0.140

B. 0.167

C. 0.667

D. 0.860

Answer:

Its C. (-3,-1)   not B.

Step-by-step explanation:

I just took the Unit test so trust me and become my friend plssss

Answer:

yes c on edge 21' is correct

Step-by-step explanation:

No, there is significant difference in the use of e readers by different age groups.

Given sample 1 ( 29 years old) \(n_{1}\)=628, \(p_{1}\)=7%, sample 2( 30 years old)\(n_{2}\)=2309, \(p_{2}\)=0.11.

We have to first form hypothesis one null hypothesis and other alternate hypothesis.

\(H_{0}:\)π1-π2=0

\(H_{1}:\)π1-π2≠0

α=0.05

Difference between proportions \(p_{1}-p_{2} =-0.04\)

\(p_{d}=0.07-0.11=-0.04\)

The pooled proportion needed to calculate standard error is:

\(p=(X_{1} -X_{2} )/(n_{1} +n_{2} )\)

=(44+254)/(628+2309)

=0.10146

The estimated standard error of difference between means is computed using the formula:

\(S_{p_{1} -p_{2} }=\sqrt{p(1-p)/m_{1}+p(1-p)/n_{2} }\)

=\(\sqrt{0.101*0.899/628+0.101*0.899/2309}\)

=\(\sqrt{0.000143+0.00003}\)

=\(\sqrt{0.000173}\)

=0.01315

Z= Pd-(π1-π2)/\(S_{p_{1} -p_{2} }\)

=-0.04-0/0.013

=-3.0769

This test is a two tailed test so the p value for this test is calculated as (using z table)

p value:2 P(Z<-3.0769)

=2*0.002092

=0.004189

P value< significance level of 5%.

Hence there is enough evidence to show the claim that there is a significant difference in the use of e readers by different age groups.

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Question is incomplete as it also includes:

Significance level of 5%.

Using Rate of change of position ,

the rate of change of the distance between the plane and tower when plane is 5 miles away from the tower is 640 miles per hour.

firstly draw a right angled triangle such that one leg going vertically a length of 3 miles above the tower and the other leg x going horizontally from the top of the first leg.

distance r from plane to tower .

using parallologram threoem ,

r²= x²+ 9 ---(1)

we have given that the speed of plane is 800 miles per hour . As we know speed is rate of change of radius (distance)

differentating equation (1) with respect to t,

2 r dr/dt = 2x dx/dt

but dx/dt = 800mph we get, 2r dr/dt = 2x × dx/dt

=> dr/dt = (x/r)dx/dt

when plane is 5 miles away from tower, r = 5

from 1 , x² = (5)² - 9 = 16 => x = 4

putting r, x , dx/dt in above equation we get,

=> dr/dt = ( 4/5)800 = 4× 160 = 640 mph

Hence, the rate of change of the distance between the plane and the tower when the plane is 5 miles away from the tower is 640 miles per hour.

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.

Resolviendo un sistema de ecuaciones, veremos que se vendieron 250 boletos de adulto.

Definamos las variables:

Se vendieron un total de 430 boletos, entonces:

x + y = 430

Y se vendieron 70 boletos de estudiante menos que boletos de adulto:

y = x - 70

Tenemos el sistema de ecuaciones:

x + y = 430

y = x - 70

Para resolverlo, podemos reemplazar la segunda ecuación en la primera:

x + y = 430

x + (x - 70) = 430

2x = 430 + 70 = 500

x = 500/2 = 250

Se vendieron 250 boletos de adulto.

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(a) The distribution of X is binomial with parameters n = 20 and p = 600/3000 = 1/5 since we are randomly selecting 20 clients without replacement and interested in the proportion of happy consumers. Given below is the probability density function for this binomial distribution.

f(x) is equal to (n pick x) * p * x * (1-p) (n-x)

Where p and 1-p are the probability of success and failure, respectively, and n pick x is the binomial coefficient, which is equal to n!/(x! * (n-x)!).

(b) The formula for the anticipated value of X, or E[X], is

E[X] = np = 20 * (1/5) = 4

Var X, the variance of X, is defined as follows:

Var X = np(1-p) = 20*1/5*4/5=3.2

(c) The cumulative distribution function of the binomial distribution's formula can be used to get P[X >= 3]:

Sum(i=3 to n) f for P[X >= 3] (i)

Summarizing from I = 3 to 20 and substituting the values from the density function, we obtain:

Sum(i=3 to 20) = P[X >= 3] [(20 pick I (1/5)*i*4/5*(20-i)]

(d) We must determine the value of the cumulative distribution function at x = 3, which is equivalent to the likelihood of receiving three or fewer successes out of 20 trials, in order to approximate P[X >= 3] using the binomial table. By using n = 20 and p = 1/5 to calculate the value of the cumulative distribution function at x = 3 in the binomial table, it is possible to determine this probability. P[X >= 3]'s estimated value is 0.586.

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Answer:

-5x+18/x+2

Step-by-step explanation:

I'm pretty sure it's the answer

It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.

The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.

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(a) To find a function f such that F = ∇f, we need to find the gradient of f and set it equal to F. So,

∇f = (∂f/∂x) i + (∂f/∂y) j + (∂f/∂z) k

F = 2xz + y^2 i + 2xy j + x^2 + 15z^2 k

Setting the corresponding components equal to each other, we get:

∂f/∂x = x^2

∂f/∂y = 2xy

∂f/∂z = 2xz + 15z^2

Integrating each of these with respect to their respective variables, we get:

f(x, y, z) = (1/3)x^3 + x^2y + 5xz^2 + g(y)

where g(y) is an arbitrary function of y.

(b) Using the result from part (a), we have:

∇f = 3x^2 i + 2xy j + (10z + 6xz) k

C: x = t^2, y = t + 1, z = 3t − 1, 0 ≤ t ≤ 1

dr = (2t) i + j + (3) k

∇f · dr = (9t^4) + (4t^2) + (30t^2 - 18t - 3)

= 9t^4 + 34t^2 - 18t - 3

To evaluate C ∇f · dr, we substitute the values of x, y, z, and dr into the expression above and integrate with respect to t from 0 to 1:

C ∇f · dr = ∫₀¹ (9t^4 + 34t^2 - 18t - 3) (2t) dt

= 161/5

Therefore, C ∇f · dr = 161/5.

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Step-by-step explanation:

For 3 scoops = 18 cookies

Lets use the unitary method,

So for 1 scoop, how many cookies?

So, 18 /3 = 6

So, 1 scoop = 6 cookies

So for 4 scoops we will multiply by 6 (as 1 scoop = 6 cookies)

So, 4 x 6 = 24

So, 24 cookies can be made if we add 4 scoops of flour

4 scoops = 24 cookies

Answer:

components: {16,11}, distance: 194.16 yards

Step-by-step explanation:

to find the length of a point to another point that has different y and x points you use the pythagorean theorem (a^2 + b^2 = c^2)

16 and 11 are the distances from her house

16^2 + 11^2 = c^2

c^2 = 377

c = 19.416...

but we dont stop here

we have to convert this to yards by multiplying it by ten

19.416 * 10 = 194.16 yards

Answer:

B

Step-by-step explanation:

Just did the test

a) A recurrence relation, aₙ = aₙ₋₂ + aₙ₋₃

is for the different signals that can be sent in n microseconds.

b) Initial conditions are a₀ = 0, a₁ = a₂ = 1

c) The number of messages sent in 12 microseconds are equal to 16.

A recurrence relation is an equation form for nth term of a sequence of numbers which is equal to some combination of the previous terms. We have a messages are sent over a communications channel using two different signals. Let an be different number of messages that can be transmitted in n microseconds. In case of First signal, it required 2 microsecondes time to tramissmit the signals. So, the different number of signals that can be transmitted in 2 microseconds are \(a_{n - 2} \)

In case of second signal , Time required by second signal to to transmit signal = 3

microsecondes

So, different number of messages that can be transmitted in 3 microseconds are

\(a_{n - 3} \)

Each signal of a message is transmitted one by one.

a) A recurrence relation for the number of different signals that can be sent in n microseconds is written as

\(a_n = a_{n - 2} + a_{n - 3}\)

hat is an us sum of different signals transmitted by each signals.

b) recurrence relation is

\(a_n = a_{n - 2} + a_{n - 3}\)

so, the initial conditions of the recurrence relation in part (a) is n = 3 , \(a_3 = a_1 + a_0 \)

a₀ = 0, a₁ = 1 , a₂ = 1

c) Different messages can be sent in 12 microseconds is determined by plugging the value in recurrence relation, a₃

= a₁ + a₀ = 1 + 0 = 1

a₄ = 1 + 1 = 2

a₅ = 1 + 1 = 2

a₆ = 2 + 1 = 3

a₇ = 2 + 2 = 4

a₈ = 3 + 2 =5

a₉= 4 + 3 = 7

a₁₀= 5 + 4 = 9

a ₁₁ = 7 + 5 = 12

a₁₂ = 9 + 7 = 16

Hence, required value is 16.

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The pseudoinverse is a generalized inverse of a matrix, denoted by A+. To prove the properties of the pseudoinverse, we first need to verify that the given matrix satisfies the Penrose conditions, which are:

1. AA+A = A
2. A+A A = A+
3. (AA+)T = AA+
4. (A+A)A = A+A

Once we have verified that these conditions are satisfied, we can then proceed to prove the properties of the pseudoinverse. These properties include:

1. AA+A is symmetric and idempotent
2. A+A is symmetric and idempotent
3. AA+A is the unique matrix that satisfies the Penrose conditions
4. A+A is the unique matrix that satisfies the Penrose conditions
5. If A has full column rank, then A+A = (AA)−1

To summarize, in order to prove the properties of the pseudoinverse, we need to first verify that the given matrix satisfies the Penrose conditions. Once we have done that, we can then proceed to prove the various properties of the pseudoinverse, which include its symmetry, idempotency, uniqueness, and relation to the original matrix.
. In this case, we will verify that the given matrix satisfies the four Penrose conditions.

Let A be an arbitrary matrix and B be its pseudoinverse. We need to prove the following properties:

1. AB = A
2. BA = B
3. (AB)A = A
4. (BA)B = B

Step 1: AB = A
To prove this property, we need to multiply matrix A by its pseudoinverse B. By definition, the pseudoinverse is a unique matrix B that satisfies this property. Since the Penrose conditions require this equality, it holds true.

Step 2: BA = B
Similar to Step 1, we need to multiply matrix B by A. The pseudoinverse definition and Penrose conditions require that the product of BA should equal B, so this property is also satisfied.

Step 3: (AB)A = A
We already know that AB = A (from Step 1). Now, we need to multiply the result (AB) by A again. Since AB = A, this simplifies to AA = A. For this property to be satisfied, A must be an idempotent matrix, meaning that A*A = A. The pseudoinverse ensures this property is true by definition and according to the Penrose conditions.

Step 4: (BA)B = B
Similar to Step 3, we know that BA = B (from Step 2). Now, we need to multiply the result (BA) by B. Since BA = B, this simplifies to BB = B. The pseudoinverse ensures this property is true by definition and according to the Penrose conditions.

By verifying that the given matrix satisfies all four Penrose conditions, we have proved the properties of the pseudoinverse.

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