Tamar surveyed six friends, asking each how many times he or she had ridden in a helicopter. The numbers of times she recorded were 0, 0, 0, 1, 3, and 8.

What is the mean absolute deviation of the number of times?

Round to the nearest tenth, if needed.


a. 0

b. 2

c. 2.3

d. 2.5

II.  f(x) doubles for each increase of 1 in the x values.  Thus, r must be 2, and so we our ar^1 = 6 from ( I ) above becomes  f(x) = a*2^x.  Applying the restriction ar^1 = 6 results in f(1) = a*2^1 = 6, or a = 3.

Then f(x) = ar^x becomes f(x) = 3*2^2 (Answer A)

number one take the second

Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Then, multiply this result by 100 to get the percentage. In this case, 120 is 80% of 150.

To use a double number line diagram to find what percent 120 is of 150, you need to create a diagram with two parallel lines. On the top line, mark 150 at one end and 100 at the other.

On the bottom line, mark 120 at one end and leave the other end blank. Then, draw diagonal lines connecting 120 on the bottom line to 150 on the top line and 100 on the top line to the blank end of the bottom line.

This creates two triangles. The height of the triangle with 120 is the percentage you're looking for.

To find this percentage, divide the length of the diagonal line connecting 120 and 150 by the length of the diagonal line connecting 100 and the blank end of the bottom line.

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Answer:

He will need to pay $3092 in both tuition and fees for the remaining 4 quarters.

Step-by-step explanation:

\(4(744+29)=\\4(773)=\\3092\)

The translation of the verbal expression "4 less than twice a number" in to an algebraic expression is 2n - 4.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression.

Let the number is n.

The phrase can be expressed as,

2n - 4.

Therefore, the expression is 2n - 4.

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Step-by-step explanation:

For RIGHT triangles

sinΦ = opposite LEG / hypotenuse

  for this right triangle

    sin 59 = x/17

   then    17 * sin 59   =  x

                  using calculator    x = 14.6   units

Answer:C

Step-by-step explanation:

In a case whereby the metal piece has four ridges of equal size on the top. The width of the piece is 3cm the volume of the work is \(450cm^3\)

Based on the provided fiqure, we will need to find te volume of the rectangle, then substract from th volume of the four triangular prism

The volume of the rectangle can be epresed as ;

2*3*10 = \(600cm^3\)

The volume of the four triangular prism can be expressed as

20/4 = 5cm          10-5= 5cm

\(1/2 * 5 * 5*3*4 = 150cm^3\)

\(600- 150 =450 cm^3\)

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Answer:

21, jk its 19 if you really dont know

Step-by-step explanation:

Answer:

9 + 10 = 19

just add it

hope it helps

Given:

Length of the rectangle = \(x^3y^4\) inches

Width of the rectangle = \(xy^7\) inches

To find:

The ratio of the length of the rectangle to width of the rectangle.

Solution:

We have,

Length = \(x^3y^4\) inches

Width = \(xy^7\) inches

So, the ratio of the length of the rectangle to width of the rectangle is

\(Ratio=\dfrac{Length}{width}\)

\(Ratio=\dfrac{x^3y^4}{xy^7}\)

\(Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}\)

Cancel out the common factors.

\(Ratio=\dfrac{x^2}{y^3}\)

\(Ratio=x^2:y^3\)

Therefore, the required ratio is \(x^2:y^3\).

The area of the triangle below 8 yards

What is triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

A polygon having three edges and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Triangles are three-sided shapes. The many kinds of triangles go by various names. The size of the angles and the length of the sides determine the type of triangle (corners). Equilateral, isosceles, and scalene triangles are the three varieties of triangles based on the length of the sides.7-15=8

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First, it is important to know the prices of each of the instruments in order to determine the number of djembe drums you had sold. Since it is not given here. I will give a general equation where you just substitute the prices. It would be as follows:

326 = 12x + 6(y) + (xx)z

where x is the price for a set of maracas

           y is the price for a set of claves

          xx is number of djembe drums sold

          z is the prices for each djembe drum

Hope this helps. Have a nice da

Answer:

(14*12)+(5*6)+16x

Step-by-step explanation:

First, you get the price of every instrument.

(Shown in the picture)

Maracas: $14

Claves: $5

Djembe Drums: $16

Then multiply the price to how many instruments you sold.

14*12 (Maracas)

5*6 (Claves)

You don't know what how many djembe drums you sold, so put an x right next to 16.

To get the total of $326 in that equation, you do: (14*12)+(5*6)+16x.

I hope it helps.

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

a) there is no chart but we can elaborate one:

taxi fee            half-miles driven

$1.75                      0

$2.05                     1

$2.35                     2

$2.65                     3

$2.95                     4

$3.25                     5

$3.55                     6

b) y = 0.3x + 1.75

where:

y = taxi fee

x = half miles driven

Answer:

8

Step-by-step explanation:

, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given here: The fraction 3/9

Now we can simplify the fraction further by dividing both the numerator and denominator by 3

let p=3/9

then p=3/3 / 9/3

       p= 1/3

Hence, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

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From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

i) Consecutive interior angles

ii) Supplementary angles

iii) The two oars are parallel by consecutive interior angles theorem

Step-by-step explanation:

i) m∠1  and m∠2 lie between two line and on the same side of the line passing through the two lines. Therefore, they are consecutive interior angles

ii)x = 10

m∠1 = 6x + 18

= 6(10) + 18

= 60 + 18

= 78

m∠2 = 9x + 12

= 9(10) + 12

= 90 + 12

= 102

m∠1 + m∠2 = 72 + 108 = 180

Since m∠1 and m∠2 add to 180, they are supplementary angles.

iii) The two oars are parallel

consecutive interior angle theorem:

If  a transversal cuts through two line and the consecutive interior angles are supplimentary, then the two lines are parallel

Answer:

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

(-2,-1); 2x – 4y= -8

6x + 5y = -7

No

The correct answer is

B) 17

I just took the quiz on edge

Answer:

it is 17

Step-by-step explanation:

i got it right on my test review

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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Answer:

\(\text{C. }156\:\mathrm{cm^3}\)

Step-by-step explanation:

The surface area of the triangular prism consists of three rectangles and two triangles.

Rectangle One - 5 x 12 = 60 cm^2

Rectangle Two - 4 x 12 = 48 cm^2

Rectangle Three - 3 x 12 = 36 cm^2

Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2

Thus, the total surface area of the solid is \(60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}\)

Part 5

Use either loading or unloading methods.

Since the two factors are not significant. So, use either loading or unloading methods.

The null and alternative hypotheses can be defined as follows:

The null hypothesis,

H_0: There is no significance difference between two levels of method at 5% level of significance.

Against alternative hypothesis,

H_a: There is significant difference between two levels of method at 5% level of significance.

From the ANOVA table, the P-value for factor A is 0.315.

Since, 0.315 is greater than the level of the significance. So, the null hypothesis fails to be rejected.

Therefore, there is no significant difference between two levels of method of main effect at 5% level of significance.

Part 2

The P-value is 0.315.

There is no significant difference between two levels of method of main effect at 5% level of significance.

Explanation

Since, 0.315 is greater than the level of the significance. So, the null hypothesis fails to be rejected.

Therefore, there is no significant difference between two levels of the method of main effect at 5% level of significance.

Step 3/5

(3)

The null and alternative hypotheses can be defined as follows:

The null hypothesis,

H_0: There is no significance difference between three types of rides at 5% level of significance.

Against alternative hypothesis,

H_a: There is significant difference between three types of rides at 5% level of significance.

From the ANOVA table, the P-value for factor B is 0.687.

Since, 0.687 is greater than the level of the significance. So, the null hypothesis fails to be rejected.

Therefore, there is no significance difference between three types of ride at 5% level of significance.

Part 3

The P-value is 0.687.

There is no significance difference between three types of ride at 5% level of significance.

Since, 0.687 is greater than the level of the significance. So, the null hypothesis fails to be rejected.

Therefore, there is no significant difference between three types of ride at 5% level of significance.

Step 4/5

(4)

The null and alternative hypotheses can be defined as follows:

The null hypothesis,

H_0: There is no significance difference of interaction between method and ride at 5% level of significance.

Against alternative hypothesis,

H_a: There is significance difference of interaction between method and ride at 5% level of significance.

From the ANOVA table, the P-value for integration of factor A and factor B is 0.138.

Since, 0.138 is greater than the level of the significance. So, the null hypothesis fails to be rejected.

Therefore, there is no significant difference that the interaction between loading and unloading method and types of ride at 5% level of significance.

Part 4

The P-value is 0.138.

There is no significant difference that the interaction between loading and unloading method and types of ride at 5% level of significance.

Explanation

Hint for Next Steps

Since, 0.138 is greater than the level of the significance. So, the null hypothesis fails to be rejected.

Therefore, there is no significant difference that the interaction between loading and unloading method and types of ride at 5% level of significance.

Step 5/5

(5)

Since, the two factors are not significant. So, use either loading or unloading methods.

Part 5

Use either loading or unloading methods.

Since the two factors are not significant. So, use either loading or unloading methods.

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Answer:

Fig C take reflection over horizontal axis (parallel to x axis) to be figure D

Fig D further take reflection over vertical axis -> fig D' -> reflection over horizontal axis -> F

Step-by-step explanation:

Answer:

Step-by-step explanation:

Before solving this we  have to know that,

(-) ×(-)=(+)

(+)×(+) =(+)

(+)×(-)=(-)

Lets solve now,

\(2x-(2x+3)2+4(x-1)+x^{3} \\2x-(2x-3)^{2} +4x-4+x^{3} \\2x-(4x^{2} -12x+9)+4x-4+x^{3} \\2x-4x^{2} +12x-9+4x-4+x^{3} \\2x+12x+4x-4x^{2} -9-4+x^{3} \\14x-4x^{2} -13+x^{3} \\\\So,\\x^{3} -4x^{2} +14x-13\\\\Therefore,\\A = 1\\B = (-4)\\C = 14\\D = (-13)\)

Hope this helps you

Let me know if you have any other questions :-)

Answer:
V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Step-by-step explanation:

Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.

Write the equations:

V + S + L = 310 (total number of vehicles)

V = 2S (twice as many vans as small trucks)

35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)

Substitute equation 2) into equation 1):

2S + S + L = 310

3S + L = 310

Simplify equation 3) by substituting V = 2S:

70,000S + 70,000S + 60,000L = 15,000,000

140,000S + 60,000L = 15,000,000

Set up a system of equations:

3S + L = 310

140,000S + 60,000L = 15,000,000

Eliminate L by multiplying equation 1) by 60,000:

60,000(3S + L) = 60,000(310)

180,000S + 60,000L = 18,600,000

Subtract equation 2) from the new equation:

(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000

40,000S = 3,600,000

Solve for S:

S = 90

Substitute the value of S into equation 1) to solve for L:

3(90) + L = 310

270 + L = 310

L = 40

Substitute the values of S and L into equation 2) to solve for V:

V = 2S

V = 2(90)

V = 180

The final answer is:

V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Answer:

180 Vans 90 Small trucks and 40 Large trucks

Step-by-step explanation: