Does the point (4 , 9) satisfy the equation y = x - 5?

The frequency distribution table of the data is illustrated below.

The data we have been given represents the percentage of people who have completed 4 or more years of college education in different states. To create a frequency distribution, we need to first decide on the number of classes we want to use. In this case, we will use 7 classes.

Next, we need to determine the range of values for each class. To do this, we first find the minimum and maximum values in the data set, which are 18.9 and 37.9, respectively.

The range of values for each class will be (max value - min value) / number of classes, which in this case is (37.9 - 18.9) / 7 = 2.86.

We will start with the first class, which will include all values from 18.9 to 21.76 (the lower limit of the first class plus the range of values for each class). The next class will include values from 21.76 to 24.62, and so on, until we reach the final class which will include all values from 33.18 to 36.04 (the upper limit of the final class plus the range of values for each class).

To create the frequency distribution, we count the number of values in the data set that fall into each class. For example, the first class includes values between 18.9 and 21.76, and there are 2 values in the data set that fall into this range (21.4 and 20.0). We continue this process for each class until we have a table that shows the frequency of values in each class.

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Complete Question:

Percentage of People Who Completed 4 or More Years of College Listed by state are the percentages of the population who have completed 4 or more years of a college education. Construct a frequency distribution with 7 classes.

21.4,26.0,25.3,19.3,29.5,35.0,34.7,26.1,25.8,23.4,27.1,29.2,24.5,29.5,22.1,24,3,28.8,20,0,20.4,26.7,35.2,37.9,24.7,31.0,18.9,24.5,27.0

Answer:

None of the answers

Step-by-step explanation:

There are 60 minutes in one hour so to find the number of minutes in two hrs we multiply 2 by 60: 2*60 = 120 minutes

We then add the extra 20 minutes: 120+20 = 140 minutes

None of the answers include 140 minutes.

We can write 2 equations from the information given.

Let the amount invested in CD be "x" and the amount invested in bond be "y".

The total amount invested is $600,000. Thus, we can write,

The CD pays 2% (0.02) and the bond pays 8.5% (0.085). Total interest needed is $27,000. Thus, we can craft another equation,

Solving the first equation for "x", we can substitute it into the second equation and solve for "y" first. The steps are shown below:

Now, we can find "x",

Rounded to the nearest dollar, we write our answer >>>

Answer:

1.85%

Step-by-step explanation:

→ Find the difference between the actual and predicted

5.5 - 5.4 = 0.1

→ Divide answer by 5.4

0.1 ÷ 5.4 = 0.01851851851

→ Multiply answer by 100

0.01851851851 × 100 = 1.85%

Answer:

X>3

Step-by-step explanation:

-2.5x +5 < -2.5

-2.5x < -2.5-5

-2.5x< -7.5

X> -7.5/-2.5

X>3

The equation 78x45 + 22x45 can be simplified using the distributive property of multiplication over addition as follows:

The distributive property of multiplication over addition is a mathematical property that allows us to break down a multiplication problem involving the sum of two or more numbers.

The distributive property states that multiplying a number by a sum of two or more numbers is the same as doing each multiplication separately, then adding the products.

78x45 + 22x45

= (78 + 22) x 45

= 100 x 45

= 4500

Therefore, 78x45 + 22x45 = 4500.

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The equation 78x45 + 22x45 can be simplified using the distributive property of multiplication over addition as follows:

The distributive property of multiplication over addition is a mathematical property that allows us to break down a multiplication problem involving the sum of two or more numbers.

The distributive property states that multiplying a number by a sum of two or more numbers is the same as doing each multiplication separately, then adding the products.

78x45 + 22x45

= (78 + 22) x 45

= 100 x 45

= 4500

Therefore, 78x45 + 22x45 = 4500.

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Line integral over segment CA:

∫(CA) F · dr = ∫(0 to 1) [e(z)dz, e(x)dx - ydy, e(0)dy] · [dx, dy, dz]

Finally, we sum up the line integrals over each segment to obtain the total line integral over the closed path ABCA.

To calculate the line integral of the vector field F(x, y, z) = (ez, ex − y, ey) over the closed path ABCA, we need to parametrize the path and compute the line integral along each segment of the path.

First, let's parametrize the path:

Segment AB:

For t in [0, 1], the parametric equations are:

x = 4 - 4t,

y = 6t,

z = 0.

Segment BC:

For t in [0, 1], the parametric equations are:

x = 0,

y = 6 - 6t,

z = 8t.

Segment CA:

For t in [0, 1], the parametric equations are:

x = -4t,

y = 0,

z = 8 - 8t.

Now, we can compute the line integral for each segment and sum them up:

Line integral over segment AB:

∫(AB) F · dr = ∫(0 to 1) [e(0)dx, e(x)dx - ydy, e(y)dy] · [dx, dy, dz]

Line integral over segment BC:

∫(BC) F · dr = ∫(0 to 1) [e(z)dz, e(0)dx - ydy, e(y)dy] · [dx, dy, dz]

Line integral over segment CA:

∫(CA) F · dr = ∫(0 to 1) [e(z)dz, e(x)dx - ydy, e(0)dy] · [dx, dy, dz]

Finally, we sum up the line integrals over each segment to obtain the total line integral over the closed path ABCA.

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Answer:

The answer is actually not an option here. The answer is y=-1/3x+16

The overall probability of selecting three Americans is:5/13 * 4/12 * 3/11 = 5/143 Answer: 5/143

Probability of selecting first American = number of Americans / total number of people= 5 / (5 + 8)= 5 / 13

Probability of selecting the second American = number of Americans / total number of remaining people after selecting the first American

= 4 / 12 (as there will be 12 people remaining after selecting the first American, which includes 4 Americans and 8 Italians)

Probability of selecting the third American = number of Americans / total number of remaining people after selecting the first and second American

= 3 / 11 (as there will be 11 people remaining after selecting the first and second American, which includes 3 Americans and 8 Italians)

Therefore, the overall probability of selecting three Americans is:5/13 * 4/12 * 3/11 = 5/143 Answer: 5/143

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The Correct pairs are :

Answer:

I'm not sure if this is the right answer b/c ur question is too vague but the answer is x = 67

Step-by-step explanation:

x + 21 + 2 = 90

x + 23 = 90

  - 23   - 23

x = 67

Therefore, the long answer to the given problem is that the sequence converges to a unique limit 30/7.

Given sequence is {an} = 3 - 0.3n, where n = 1, 2, 3,Now we need to determine whether the sequence converges or diverges. If it converges, then we have to find the limit. Let's find some initial terms for the given sequence for n = 1, 2, 3, 4,...an = 3 - 0.3n => a1 = 3 - 0.3(1) = 2.7a2 = 3 - 0.3(2) = 2.4a3 = 3 - 0.3(3) = 2.1a4 = 3 - 0.3(4) = 1.8Notice that as we increase the value of n, the terms of the sequence are decreasing.

Thus, {an} is a decreasing sequence. Now, let's find the limit of the sequence. If the sequence converges to a limit "L", then we have an → L as n → ∞ Therefore, L = lim n→∞ (3 - 0.3n)Using limit laws, we get L = Lim n→∞ 3 - lim n→∞ (0.3n) => L = 3 - 0, where 0 < r < 1Since 0 < r < 1, the limit exists. Hence the sequence converges to the limit L = 3/0.7. Hence the sequence converges to a unique limit, which is equal to 30/7.

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Answer:

P(B) = 0.46

Step-by-step explanation:

Probability

The complementary event of a given event A is defined as "not A" or the event that A does not occur.

For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.

Event A and its complementary event (call it B) must satisfy:

P(A) + P(B) = 1

If we know P(A)=0.54, then

P(B) = 1 - P(A)

P(B) = 1 - 0.54

P(B) = 0.46

Answer:

Well this question is actually a piece of cake. Just pick your favorite number. Multiply it by 10. Then do whatever operation you want with the 2,300. For the exponent part of this. Lets say we do it this way y times z equals 2,300. Exponents are letters used in mathematical terms. So any letter can be used to represent any number.

Step-by-step explanation:

The control chart limits (3 sigma) for the fertilizer-bag-filling machine can be computed using Table $6.1.

To compute the control chart limits (3 sigma) using Table $6.1 for the fertilizer-bag-filling machine, follow these steps:

Determine the sample size: In this problem, each sample consists of 7 observations.

Calculate the average range (R): For each sample, calculate the range by subtracting the smallest observation from the largest observation. Then, calculate the average range across all 35 samples.

Find the appropriate value from Table $6.1: Locate the row in Table $6.1 corresponding to the sample size (7) and find the factor associated with 3 sigma. This factor represents the number of standard deviations for the control limits.

Compute the control limits: Multiply the average range (R) by the factor obtained from Table $6.1 to determine the width of the control limits. Then, subtract this width from the overall average of the process data to obtain the lower control limit, and add the width to the overall average to obtain the upper control limit.

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Answer:

10 hours

Step-by-step explanation:

Let A be the Princeton Salon and B is Beauty by Angle.

Build a table that contains the information.  See attached.

The cost, y, for x hours, for each option would be:

A:  y(A) = 50 + 25x

B:  y(B) =    0 + 30x

We want to find the hours, x, for which both options, so set them equal to each other:

50 + 25x = 0 + 30x

-5x = 150

 x = 10 hours

The table confirms this calculation.

Answer:

B

Step-by-step explanation:

Answer:

b.) 350 = 0.25m + 300

Step-by-step explanation:

His earnings are a fixed amount, $300, and a variable amount that depends on the number of miles.

The variable amount depends on the number of miles he drives.

For 1 mile, he earns $0.25

For 2 miles, he earns $0.25 * 2

For m miles, he earns $0.25 * m

The total amount he earns is the fixed amount plus the variable amount

300 + 0.25m or 0.25m + 300

He earned $350, so we get the equation

350 = 0.25m + 300

Answer: b.) 350 = 0.25m + 300

A possible vertex of the quadratic function is (4, 0). The vertex form of the quadratic function can be written as y = a(x - h)^2 + k, where (h, k) represents the vertex. In this case, h = 4 and k = 0.

The zeros of a quadratic function represent the x-values where the function intersects or crosses the x-axis. Since the given zeros are (0, 0) and (8, 0), we can infer that the quadratic function intersects the x-axis at these points.

To find a possible vertex of the function, we can take the average of the x-values of the zeros. In this case, the x-values of the zeros are 0 and 8, so the average is (0 + 8) / 2 = 4.

Now, to find the y-value of the vertex, we can substitute the x-value (4) into one of the zeros. Let's use (0, 0):

0 = a(0 - 4)(0 - 8)

0 = -32a

Solving for 'a', we find that a = 0.

So, a possible vertex of the quadratic function is (4, 0), meaning the function is symmetric and opens upwards.

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The length of the longest side in the triangle is 90 cm.

The ratio of the sides of a triangle can be used to find the length of each side if one side is known. In this case, we know that the ratio of the sides is 3:4:6, and we also know that the shortest side has a length of 45 cm. We can use this information to find the length of the other two sides.

To do this, we need to find the common factor that relates each term in the ratio. In this case, we can see that 3 is a factor of 6 and 4 is a factor of 12. So, we can rewrite the ratio as 3x : 4x : 6x.

Now, we know that the shortest side has a length of 45 cm, which corresponds to the 3x term. Solving for x, we get:

3x = 45
x = 15

So, the lengths of the sides are:

Shortest side: 3x = 3(15) = 45 cm
Middle side: 4x = 4(15) = 60 cm
Longest side: 6x = 6(15) = 90 cm

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The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Answer:

0 > 5

Step-by-step explanation:

3a > 3a+5

-3a + 3a > 5

change of sign when 3a is moving across the = sign so > will change to <

0 >5  

Answer:

0 > 5

Step-by-step explanation:

3a > 3a+5

-3a + 3a > 5

change of sign when 3a is moving across the = sign so > will change to <

0 >5  

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Have an awesome day!

(a^n)*(a^m) = a^(n + m)

That is the power of a product property, so the correct option is the third one.

The power of a product property refers to how we take the product of two elements with the same base and exponents.

Remember that:

a^n

means that we need to multiply a by itself n times.

Then:

(a^n)*(a^m)

Means that we need to multiply a by itself n times, and then another m times, then we can write:

(a^n)*(a^m) = a^(n + m)

That is the power of a product property, so the correct option is the third one.

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Answer:

400 mph

Step-by-step explanation:

1200/3 = 400 miles per hour

Answer:

D, B, E

Step-by-step explanation:

Try plotting the graph on desmos

Step-by-step explanation:

A parenthesis is used when the number next to it is NOT part of the solution set

   like :   all numbers up to but not including 3 .    

  Parens are always next to  infinity  when it is part of the solution set .

  A bracket is used when the number next to it is included in the solution set.

Answer:

70cm2

Please mark

Step-by-step explanation:

Answer:

396 cm²

Step-by-step explanation:

The figure is composed of 2 rectangles.

The vertical rectangle on the left has area (A) calculated as

A = 27 × 10 = 270 cm²

The horizontal rectangle on the right has area (A) calculated as

A = 9 × (24 - 10) = 9 × 14 = 126 cm²

Thus area of figure = 270 + 126 = 396 cm²

P(4, 2, 6) is on the given surface, but Q(5, 1, -11) is not. The correct answer is that P is on the surface, but Q is not

To determine whether the points P(4, 2, 6) and Q(5, 1, -11) lie on the given surface, we need to check if their coordinates satisfy the equation r(u, v) = <u + v, u^2 - v, u + v^2>.

For P(4, 2, 6):

Plugging in the coordinates of P into the equation, we have:

r(4, 2) = <4 + 2, 4^2 - 2, 4 + 2^2> = <6, 14, 8>.

The coordinates of P(4, 2, 6) match the coordinates obtained from the equation, so P lies on the surface.

For Q(5, 1, -11):

Plugging in the coordinates of Q into the equation, we have:

r(5, 1) = <5 + 1, 5^2 - 1, 5 + 1^2> = <6, 24, 6>.

The coordinates of Q(5, 1, -11) do not match the coordinates obtained from the equation, so Q does not lie on the surface.

Therefore, the correct answer is that P is on the surface, but Q is not. The given coordinates for P(4, 2, 6) satisfy the equation, while the coordinates for Q(5, 1, -11) do not match the equation, indicating that Q does not lie on the given surface.

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