Simon makes a model of a boat, using a scale of 1:30
If the model has a height of 40 cm, find the height of the real boat.

give your answers in metres

The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.

The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.

The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.

An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.

In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

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The central angle of the given arc LKJ is;  211°

We want to find the length of the arc LKJ. The central angle for this arc length is; 115° + 96° = 211°

The formula for length of arc is;

L = θ/360 * 2πr

where;

θ is central angle

r is radius

We are not given the radius and as such, we can only find the central angle which is 211°

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Answer:

y = 503

Step-by-step explanation:

y=mx+b

y=26(17)+61

y=442+61

y=503

Answer: 10

Step-by-step explanation: 8+10+60=78

Answer:

10000

Step-by-step explanation:

100 hugs x 100 hugs

= 10,000 hugs.

The probability of randomly choosing a student that has a dog is 20/29

The probability of an event is the ratio of the required outcome to the total possible outcomes.

Probability of having a dog can thus can be calculated as :

Number of dog owners = 16 + 4 = 20

Total number of students = 16+4+6+3 = 29

P(having a dog) = 20/29

Therefore, the probability of randomly choosing a student that has a dog is 20/29

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Answer:

The data has an outlier in the 13 to 15 range and shows that a large group purchased tickets to the game.

Step-by-step explanation:

An outlier in a frequency distribution is a value or set of values that is significantly different from the rest of the data set points. There is not a strong mathematical definition for what an outlier is, one should examine the data and assess in a more or less subjective manner

Looking at the data we see that most of ticket sales fall in the range 1-10

There is nothing in the range 10-12 but then after that there is another interval 13-15 with a frequency count of 1. This interval represents an outlier - it is very much apart from the rest of the data

So statement 1 is the best choice

We can eliminate the second statement. Skewness means that the data is very asymmetrical and has a peak which is at extreme right or left. Looking at the graph we see that the data is pretty much symmetrical in the range 1 - 10

Third statement can be easily eliminated since we do have an outlier as explained

Fourth statement can also be easily eliminated. The mode of a distribution is the value  that appears the most often. When plotting a histogram this value (interval will have the bar that is tallest). Here, the mode is in the interval 4-6 with a height of 16 which is the number of times any ticket sales in the range 4-6 occur.

A bimodal distribution will have two bars which are the highest and of equal value. We usually refer to these as peaks. Here there is only one peak and such a distribution is called a unimodal distribution.

Hope that helps you :)

Answer: the first option is correct

Step-by-step explanation:

I got it right on my quiz

The ordering of the numbers from greatest go least will be twenty-six eighths, the cube root of 32, negative pi, and negative four and two thirds

Based on the information, we want to order twenty-six eighths, the cube root of 32, negative pi, and negative four and two thirds.

It should be noted that 26/8 = 3.25

Cube root of 32 = 3.19

Negative pi = -3.14

Negative four and two thirds = -4.67

The arrangement is given above.

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Answer: A

Step-by-step explanation:

The three angles in a triangle add to \(180^{\circ}\). Therefore, each angle measures \(\frac{180^{\circ}}{3}=60^{\circ}\).

Answer:

is this algebra 1

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

you isolate the variable by dividing each side

Answer:

x=11.34

Step-by-step explanation:

Step-by-step explanation:

To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5

Answer:

5 ounces

Step-by-step explanation:

Answer:

5 ounces .

Step-by-step explanation:

Answer:

Step-by-step explanation:

60 x²-132x+24=12[5x²-11x+2]

=12[5x²-10x-x+2]

=12[5x(x-2)-1(x-2)]

=12(x-2)(5x-1)

Answer:

Step-by-step explanation:

\(60x^2-132x+24\\ \\ 12(5x^2-11x+2)\\ \\ 12(5x^2-10x-x+2)\\ \\ 12(5x(x-2)-1(x-2))\\ \\ 12(5x-1)(x-2)\)

The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

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I need the original vertex and what will be the final vertex. Also, we need to know if the reflextion is in the x-axis or in the y-axis.

Answer:

it can be 100 because percentages are out of 100

Answer:

y - 2 = -2 (x - 0)

Step-by-step explanation:

Given data:

The given expression is 8.46 ➗3.

The given expression can be written as,

Thus, the quotient is 2.82 which is in decimal.

Answer:

Answer would be triangle CAB

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

We have,

In a parallelogram,

- Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths.

- Opposite angles are congruent:

The opposite angles of a parallelogram have equal

Now,

a)

Opposite angles are congruent:

So,

5x + 29 = 7x - 11

29 + 11 = 7x - 5x

40 = 2x

2x = 40

x = 40/2

x = 20

And,

3y + 15 = 5y - 9

15 + 9 = 5y - 3y

24 = 2y

y = 24/2

y = 12

b)

Opposite sides are congruent:

So,

-6x = -4x + 6

-6x + 4x = 6

-2x = 6

x = -3

And,

7y + 3 = 12y - 7

12y - 7y = 3 + 7

5y = 10

y = 2

Thus,

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

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Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.

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Answer:

A.) Population : All employees at a firm

B.) μ = 5.4

C.) Sample : 80 employees at a firm

D.) Sample mean, x bar = 4.5

Step-by-step explanation:

From the question :

E.)

H0: μ ≥ 5.4

H1 : μ < 5.4

F.)

If Pvalue < α ; Reject H0

G.)

Test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(4.5 - 5.4) ÷ (2.7/sqrt(80))

-0.9 ÷ 0.3018691

= - 2.98

H.)

Pvalue fro Zscore calculator, α = 0.10 = 0.002882

I.)

Decision :

0.002882 < 0.10

Since, Pvalue < α ; We reject the Null

J.)

We Can conclude that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced

Answer:

B

Step-by-step explanation:

given scale is 1 inch represents 7.5 feet

then we require to calculate how many 7.5 feet there are in each dimension.

to obtain this divide each dimension by 7.5, that is

13 ÷ 7.5 ≈ 1.73 ( to 2 decimal places )

26 ÷ 7.5 ≈ 3.47 ( to 2 decimal places )

then dimensions are approximately 1.73 inches by 3.47 inches

Answer:

8.9

Step-by-step explanation:

- there are two given sides and its a right angle triangle so you can use pythagoras

- 12^2 = 8^2 + y^2

- rearrange

y = \(\sqrt{(12)^2 -(8)^2}\)

y = 8.9

The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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Answer:

In the picture above

.......

Answer:

f(0) = 0x (0, 0)

f(1) = 2 (1, 2)

f(2) = 4 (2, 4)

You better pay out with them brainliests................

Answer:

C -1

Step-by-step explanation:

in such a case the simplest way is to simply try the 4 numbers and see :

x² - 3x - 4 = |x + 3| - 2

x² - 3x - 2 = |x + 3|

A x = -4

(-4)² - 3×-4 - 2 = |-4 + 3|

16 + 12 - 2 = 1

26 = 1

wrong.

B x = -3

(-3)² - 3×-3 - 2 = |-3 + 3|

9 + 9 - 2 = 0

16 = 0

wrong.

C x = -1

(-1)² - 3×-1 - 2 = |-1 + 3|

1 + 3 - 2 = 2

2 = 2

correct.

D x = 4

4² - 3×4 - 2 = |4 + 3|

16 - 12 - 2 = 7

2 = 7

wrong.

Answer:

number 2 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

The figure consist of:

The perimeter is: