Jake jogs every day in the neighborhood park. He runs 4 miles on Sunday,
3 miles on Monday, and 5 miles on Tuesday. Find the mean distance
covered by Jake.

This is an example of a survey or sampling technique called systematic sampling. The students are selecting every 10th student from the population (in this case, the population is the entire student body) to survey.

This technique can be useful when the population is too large to survey everyone or when a random sample is difficult to obtain. By using systematic sampling, the students can obtain a representative sample of the student body without having to survey every single student.

However, it's important to note that systematic sampling can introduce bias if there is a pattern or structure in the population that is related to the sampling interval. For example, if every 10th student is in a particular grade level or section of the school, this could skew the results of the survey. To mitigate this potential bias, researchers should ensure that the sampling interval is random and that they are not selecting every nth person based on any identifiable characteristics.

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Answer:

Step-by-step explanation:

The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

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Step-by-step explanation:

divide 62 by 100 and then multiply that number by 66. I don't have a calculator on me rn sorry

Answer:

Fraction:

\(\frac{1023}{25}\)

Decimal:

40.92

Mixed Number:

\(40\frac{23}{25}\)

Step-by-step explanation:

66% is the same this as \(\frac{66}{100}\). You can simplify \(\frac{66}{100}\) to \(\frac{33}{50}\). Then, find \(\frac{33}{50}\) of 62, which is the same thing as \(\frac{33}{50}\) x 62. You’ll get either of the three options, a fraction, decimal, or a mixed number, but all three are the same thing (you get to choose which one).

Hope this helps! :)

Answer:x=1 y=5

Step-by-step explanation:

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

In general, the monthly payment formula is

In our case,

Where r=6.1%=0.061 and the number of payments is 12months*3years=36 monthly payments. Thus, the answer is

The monthly payment is $588.02

9514 1404 393

Answer:

   3678%

Step-by-step explanation:

If we assume the interest is compounded, then the effective annual rate is ...

  ((1 +1%)^365 -1) × 100% = (37.7834 -1)×100% ≈ 3678%

Answer:

(-1, -2)  

Step-by-step explanation:

Rotating clockwise 90 degrees will result in   (x,y) becoming (y, -x)

  so this becomes   (-1, - 2)

Answer: i couldn't find an answer

Step-by-step explanation: i couldn't find the answer anywhere and im in 4th grade so sorry

Answer: -11 ÷ 4; 11 ÷ (-4); \(\frac{-11}{4}\); \(\frac{11}{-4}\)

Step-by-step explanation:

A negative divided by a negative is a positive.

A positive divided by a negative or a negative divided by a positive is a negative.

The relative frequency of rolling a three is 14/40 or 0.35.

Answer14/40 or 0.35

Step-by-step explanation:

Number of times dice is rolled= 40

Number of times three comes up= 14

Relative frequency(Probability) = 14/40 or 0.35

The obtained answers for the given line segments are as follows:

9. The value of the line segment \(\overline {DE}\) = 43; Where \(\overline { DF}\) = 61 and \(\overline {EF}\)

10. The value of x is 6; Where \(\overline {DE}\) = 4x - 1, \(\overline {EF}\) = 9, and \(\overline { DF}\) = 9x - 22

11. The value of line segment \(\overline {EF}\) = 32; Where  \(\overline { DF}\) = 78, \(\overline {DE}\) = 5x - 9, and \(\overline {EF}\) = 2x + 10

12. The value of line segment \(\overline { DF}\) = 57; Where \(\overline {DE}\)  = 4x + 10 \(\overline {EF}\) = 2x - 1, and \(\overline { DF}\) = 9x - 15.

The calculation for the required values is as follows:

9. Finding \(\overline{DE}\):

It is given that,

\(\overline{DF}\) = 61; \(\overline{EF}\) = 18

From the figure, we can write

\(\overline{DF} = \overline{DE} + \overline{EF}\)

On substituting the given values,

61 = \(\overline{DE}\) + 18

⇒ \(\overline{DE}\) = 61 - 18

∴ \(\overline{DE}\) = 43

10. Finding x:

It is given that,

\(\overline {DE}\) = 4x - 1, \(\overline {EF}\) = 9, and \(\overline { DF}\) = 9x - 22

From the figure we have

\(\overline{DF} = \overline{DE} + \overline{EF}\)

On substituting,

(9x - 22) = (4x - 1) + 9

⇒ 9x - 22 = 4x - 1 + 9

⇒ 9x - 4x = 8 + 22

⇒ 5x = 30

∴ x = 6

11. Finding \(\overline{EF}\):

It is given that,

\(\overline { DF}\) = 78, \(\overline {DE}\) = 5x - 9, and \(\overline {EF}\) = 2x + 10

From the figure we have

\(\overline{DF} = \overline{DE} + \overline{EF}\)

On substituting,

78 = (5x - 9) + (2x + 10)

⇒ 78 = 5x - 9 + 2x + 10

⇒ 7x + 1 = 78

⇒ 7x = 78 - 1

⇒ 7x = 77

∴ x = 11

On substituting x = 11 in \(\overline {EF}\) = 2x + 10; we get

\(\overline {EF}\) = 2(11) + 10

      = 22 + 10

      = 32

Therefore, the value of the line segment \(\overline {EF}\) is 32.

12. Finding \(\overline {DF}\):

It is given that,

\(\overline {DE}\)  = 4x + 10 \(\overline {EF}\) = 2x - 1, and \(\overline { DF}\) = 9x - 15

From the figure we have

\(\overline{DF} = \overline{DE} + \overline{EF}\)

On substituting,

(9x - 15) = (4x + 10) + (2x - 1)

⇒ 9x - 15 = 4x + 10 + 2x - 1

⇒ 9x - 15 = 6x + 9

⇒ 9x - 6x = 9 + 15

⇒ 3x = 24

∴ x = 8

On substituting x = 8 in \(\overline { DF}\) = 9x - 15; we get

\(\overline { DF}\) = 9(8) - 15

      = 72 - 15

      = 57

Therefore, the value of the line segment \(\overline { DF}\) is 57.

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The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

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Answer:

undefined

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2  x_1)

slope = (-3 - 4)/(6 - 6)

slope = -7/0

Since division by zero is undefined, this line has undefined slope.

Answer:

Yes

Step-by-step explanation:

Because f all of the Earth's ice sheets and glaciers were to melt, sea level could be up to 265 feet (80 meters) above current mean sea level.

Answer:

Unit Price for Brand A: $0.31 per Pencil.

Unit Price for Brand B: $0.35 per Pencil.

Brand A is the better buy.

Step-by-step explanation:

Divide 7.49 by 24 to get 0.312 and round down to 0.31.

Divide 9.97 by 28 to get 0.356 and round down to 0.35 (0.36 is too much making the price $10.08)

Compare 0.31 and 0.35. (0.31 < 0.35)

The domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.

Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.

Given is the function as -

f(x) = (x - 3)²

{ 1 } -

The domain of the function f(x) = (x - 3)².

The function has no undefined points. So, we can write the domain as -

Domain → (- ∞ , + ∞)

{ 2 } -

The inverse of the function f(x) = (x - 3)².

We have -

f(x) = (x - 3)²

y = (x - 3)²

x = (y - 3)²

y - 3 = √x

y = 3 + √x

Therefore, the domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.

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Answer:

−16890

Step-by-step explanation:

Simplify the expression.

Answer:

let p(x)=180

LCM=720

HCF=36

WE HAVE TO FIND q(x)=?

as we know that

p(x)×q(x)=LCM×HCF

NOW WE HAVE TO FIND q(x)

q(x)=LCM×HCF/p(x)

q(x)=720×36/180

q(x)=25920/180

q(x)=144

i hope this will help you

Answer:

144

Step-by-step explanation:

HCF(a,b)*LCM(a,b)=ab

36*720=180*x

x= 36*720/180

x= 144

Answer:

(-6,-4)

Step-by-step explanation:

Trust me

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

I think it would be $3400

Step-by-step explana

Answer:A.The triangles are similar but not congruent

Step-by-step explanation:

In a congruent traingle:

the both triangles are same in shape and size

There are five theorems to see if the triangles are congruent

and neither particularly applies here

sss: the sides are not equal

as none of the sides are equal, then despite the angles, congruence is not possible

However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

It is basically just reversing the formula so B. is the correct answer

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

Step-by-step explanation:

To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.

Let's apply the Luhn algorithm to the given credit card number:

Step 1: Starting from the rightmost digit, double every second digit

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|

Step 2: If the doubled value is greater than 9, add the digits of the result

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |

Step 3: Add up all the digits in the credit card number, including the check digit

5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61

Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.

61 is not divisible by 10, therefore the given credit card number is invalid.

Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2