Two drawings are given below. Drawing 2 is a scale drawing and Drawings 1 is an original drawing.



The length of the bottom side of Drawing 2 is ______ cm. please help

Probability distributions can be represented using tables and graphs

The probability table is given as:

x              0       1        2       3      4

P(x) -> 0.191 0.319 0.287 0.128 0.074

The above table means that:

P(0) = 0.191

P(1) = 0.319

P(2) = 0.287

P(3) = 0.128

P(4) = 0.074

Next, we check if the table represents a probability distribution using:

\(\sum P(x) = 1\)

So, we have:

\(\sum P(x) = 0.191 + 0.319 + 0.287 + 0.128 + 0.074\)

\(\sum P(x) = 1\)

The graph is not given. So, I will plot the graph

See attachment for the figure that represents the probability distribution

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Answer: Idrissa collected 240 pennies

Step-by-step explanation:

2400/5=480

Answer:

Step-by-step explanation:

\(n^{5}= 1254\\n^{5} = 2.3.11.19\)

Therefore it is not possible that n is a perfect power of 5

           it is approximately 4.16

Answer:

n ≈ 4.165

Step-by-step explanation:

To solve this, you need to take the 5th root of both sides:

\(n^5=1,254\)

\(\sf{\sqrt[5]{n^5} =\sqrt[5]{1254}}\)

On the lhs we're only left with n as n^5 and the 5th root cancel each other out.

On the right-hand side we need to calculate:

\(n\approx4.165\)

Answer:

\(y = mx + c\)

Step-by-step explanation:

M is the gradient i.e. How many squares up divided by how many squares across. You have 2 squares across and 1 up. Meaning 2 / 1 = 0.5

The +c bit is called the y-intercept or where the line crosses the x-axis. In the graph above it appears to be 4 squares above the x axis or (0,4) meaning your c value is 4.

\(y = mx + c \\ y = 0.5x + 4\)

The fοci οf the given ellipse are apprοximately (-0.65, 3) and (-3.35, 3).

An ellipse is a clοsed curve in a plane that is symmetric abοut twο intersecting perpendicular axes, called the majοr axis and the minοr axis.

The given equatiοn represents an ellipse centered at the pοint (-2, 3) with semi-majοr axis οf length 4 and semi-minοr axis οf length 3. Tο find the fοci, we can use the fοrmula \(\rm c = \sqrt{(a^2 - b^2)\), where a is the length οf the semi-majοr axis and b is the length οf the semi-minοr axis.

In this case, a = 4 and b = 3, so:

\(\rm c = \sqrt{(4^2 - 3^2) }= \sqrt7\)

The foci are located on the major axis of the ellipse, which is parallel to the x-axis and passes through the center (-2, 3).

Therefore, the coordinates of the foci are \((-2 + \sqrt7, 3)\) and \((-2 - \sqrt7, 3)\).

Hence, the foci of the given ellipse are approximately (-0.65, 3) and (-3.35, 3).

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The length of the arc on a circle of mentioned radius intercepted by the central angle is 3π feet.

The formula to calculate the arc angle from radius and central angle is simply by finding their product. The formula for arc length is -

S = r×theta, where r is radius and theta is the central angle

Now we are given angle in degree and we need to convert it in radian. So the formula is -

Central angle = 60 × π/180

Central angle = π/3 radians

Keep the values in formula

S = 9 × π/3

Performing division

S = 3π

Thus, the arc length is 3π.

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Answer:

If I directly give you the answers they won't help you...so I've shown you how to do the questions instead

Step-by-step explanation:

8/9 + 5/6 (make them have the same denominator)

= 48/54 + 45/54

= 93/54 (make it a mixed fraction)

1 and 39/54

(The second and third one are done the same way... make them have the same denominator by using their equivalent fractions (e.g 1/2 = 2/4), add the numerators ONLY... simplify the result)

1 and 6/9 divided by 5/6

(make the first number an improper fraction)

1 x 9 + 6 = 15 (this is the numerator...the denominator remains the same)

15/9 divided by 5/6 (reciprocate the number after the division sign and then change the division sign to a multiplication sign)

15/9 x 6/5

(Then simplify. e.g the 5 in 6/5 can be divided by the 15 in 15/9)

3/9 x 6/1

(The 6 in 6/1 and the 9 in 3/9 have a common factor... 3)

3/3 x 2/1

(3/3 = 1)

1 x 2

=2

(The other questions are done in the same way... Make the mixed fraction an improper fraction(This means the denominator is larger than the numerator)... reciprocate the number after the division sign (This means flipping it (e.g 2/3 becomes 3/2) then change the division sign to a multiplication sign and either directly multiply the result or simplify it first by dividing numerators with denominators (e.g instead of 9/3 x 12/4 = 108/12 = 9, you could say 1 divided 3 = 4 thus 9/1 x 4/4 (which is = 1) thus 9 x 1 = 9). Either way you should get the same answer whichever way you choose.

PS: YOU COULD ALSO USE A CALCULATOR TO CONFIRM YOUR ANSWER

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Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Answer:

m<A + m<B = 180 degrees = 2pi radians

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The reflection of the dots marked is on the opposite side at the same numbers and lines but with a different sign in front of the number.

Answer: b

Step-by-step explanation:

The reflection of the dots marked is on the opposite side at the same numbers and lines but with a different sign in front of the number.

The value of y in the triangle is 2√10 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The value of y can be found using the similar triangle ratios as follows:

Hence,

8 / y = y / 5

cross multiply

y² = 8 × 5

y²= 40

square root both sides of the equation

y = √40

Therefore,

y = 2√10 units

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Answer/Step-by-step explanation:

✅Azure:

Clicks = 17

Time (secs) = 2

Unit rate (clicks/sec) = \( \frac{17}{2} = 8.5 \)

✅Bronze:

Clicks = 38

Time (secs) = 4

Unit rate (clicks/sec) = \( \frac{38}{4} = 9.5 \)

✅Camson:

Clicks = 26

Time (secs) = ? = x

Unit rate (clicks/sec) = 10.4

Thus: \( \frac{26}{x} = 10.4 \)

Multiply both sides by x

\( 26 = 10.4*x \)

Divide both sides by 10.4

\( \frac{26}{10.4} = x \)

\( 2.5 = x \)

Time (secs) = x = 2.5

✅Desert:

Clicks = ? = x

Time (secs) = 4.2

Unit rate (clicks/sec) = 8.33

Thus: \( \frac{x}{4.2} = 8.33 \)

Multiply both sides by 4.2

\( x = 8.33*4.2 \)

\( x = 34.986 \)

Clicks = x ≈ 35

✅ Emerald:

Clicks = 3

Time (secs) = ? = x

Unit rate (clicks/sec) = 7.5

Thus: \( \frac{3}{x} = 7.5 \)

Multiply both sides by x

\( 3 = 7.5*x \)

Divide both sides by 7.5

\( \frac{3}{7.5} = x \)

\( 0.4 = x \)

Time (secs) = x = 0.4

✅Fuschia:

Clicks = ? = x

Time (secs) = 0.75

Unit rate (clicks/sec) = 8

Thus: \( \frac{x}{0.75} = 8 \)

Multiply both sides by 0.75

\( x = 8*0.75 \)

\( x = 6 \)

Clicks = x ≈ 6

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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The value of the expression 4 1/5 ÷ 2 1/4 will be -28/15. Then the correct option is E.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The mixed fraction numbers are given below.

- 4 1/5 and 2 1/4

The mixed fraction number is converted into a fraction number.

-4 1/5 = -21/5

2 1/4 = 9/4

Then the division of the fraction numbers will be

⇒ -(21/5) ÷ (9/4)

⇒ -(21/5) · (4/9)

⇒ -28/15

Then the value of the expression 4 1/5 ÷ 2 1/4 will be -28/15.

Then the correct option is E.

The missing option will be negative 28 over 20.

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Answer:

-1.9393939

Step-by-step explanation:

https://www.hackmath.net/en/calculator/fraction

Explanation:

To know the new coordinates for F', G', and H', we need to follow the rule, so:

Then, to reflect over the x-axis, we need to use the following rule:

(x, y) ---> (x, -y)

So, the new coordinates F'', G'', and H" after the reflection are:

F'(-3/2, 3/2) ----> F"(-3/2, -3/2)

G'(-3/2, -3) -----> G"(-3/2, 3)

H'(-3, -3) --------> H"(-3, 3)

Therefore, the graph of figure F"G"H" is:

The individuals in this data set are the different apartment complexes: Grand Vistas, Maple Ridge, Old Mill, and Willow Brook.

The individuals in this data set are the different apartment complexes that Camille is comparing. The data provides information on the complex name, number of bedrooms and bathrooms, rent amount, whether rent includes heat, and the amenities offered.

Grand Vistas:

Bedrooms: 2

Bathrooms: 2

Rent: $990

Rent includes heat: No

Amenities: Fitness center, pool

Maple Ridge:

Bedrooms: 2

Bathrooms: 1.5

Rent: $685

Rent includes heat: Yes

Amenities: Fitness center, pool

Old Mill:

Bedrooms: 2

Bathrooms: 1.5

Rent: $790

Rent includes heat: No

Amenities: Pool

Willow Brook:

Bedrooms: 2

Bathrooms: 2

Rent: $885

Rent includes heat: No

Amenities: Jacuzzi

Each apartment complex is represented as an individual in the data set. Camille has collected specific details for each complex, including the number of bedrooms and bathrooms, the rent amount, whether heat is included in the rent, and the amenities provided.

This data set allows Camille to compare different apartment complexes based on these attributes. She can evaluate factors such as rent prices, included amenities, and the presence of heat in the rent. This information will assist Camille in making an informed decision about which apartment complex may be the most suitable for her needs and preferences.

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Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

The length of BD is 22.

In the given scenario, let's consider the following information.

AD = 8

AE = 6

EC is 12 more than BD.

To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.

From the given information, we know that AD = 8 and AE = 6.

Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.

First, let's find the intercepted arc corresponding to AD:

Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16

Similarly, we can find the intercepted arc corresponding to AE:

Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12

Now, we know that EC is 12 more than BD.

Let's assume the length of BD as x.

BD + 12 = EC

Now, let's consider the intercepted arcs theorem:

Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C

16 - 12 = Angle B - Angle C

4 = Angle B - Angle C.

Since Angle B and Angle C are vertical angles, they are congruent:

Angle B = Angle C.

Therefore, we can say:

4 = Angle B - Angle B

4 = 0

However, we have reached an inconsistency here.

The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.

As a result, we cannot determine the length of BD based on the given information.

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The equation is -8(6x - 12) + 4 = -10 (x + 8) + 408

Let us simplify each side at first

-8(6x - 12) + 4

We will multiply the bracket by -8

(-8)(6x) + (-8)(-12) + 4 = -48 x + 96 + 4

Add the like terms 96 + 4

The left side is -48 x + 100

-10(x + 8) + 408 = (-10)(x) + (-10)(8) + 408 = -10x - 80 + 408

Add the like terms -80 + 408

The right side is -10x + 328

So the equation after simplifying is

-48 x + 100 = -10 x + 328

Add 10x to both sides

-48 x + 10 x + 100 = -10 x + 10 x + 328

-38 x + 100 = 328

Subtract 100 from both sides

-38 x + 100 - 100 = 328 - 100

-38 x = 228

Divide both sides by -38 to get x

The solution of the equation is - 6

You can check the answer by substituting the value of x in each side the two sides must be equal

Answer: A. FALSE

Step-by-step explanation: The interval scale presents a measurement level for representing numerical variables in an ordered and fixed manner. Measurement are represented on the scale at equal intervals with each difference between consecutive intervals being the same. With this attribute, data represented on an interval scale gives meaningful difference between the data entries also allowing the US to know the size of the interval. Interval scales allows us to make subtraction and addition on data it's data. Examples of data represented on interval scale include, Temperature, ph and other numeric data with arbitrary zero levels

The graph of y = x^2 should be translated by 1 unit to the right and 3 units up.

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

Therefore, we have the following:

f(x) = x^2

g(x) = f(x - 1) + N

g(x) = (x - 1)^2 + 3

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Answer:

No.  The data in this study were not based on a random method.  This is a key requirement for an inference to be made from the two-sample t-test.

Step-by-step explanation:

1. Hayden can use the two-sample t-test (also known as the independent samples t-test)to find out if there was a difference in the time spent in the checkout time between two grocery stores and to conclude whether the difference in the average checkout time between the two stores is really significant or if the difference is due to a random chance.  There are three conditions to be met when using the two-sample t-test.

2. The first condition is that the sampling method must be random.  This requirement was not met in this study.  Each customer from each store should have an equal chance of being selected for the study.  This was not achieved.

3. The distributions of the sample data are approximately normal.  This is achieved with a large sample size of 30 customers selected for each study.

4. The last but not the least condition is the independence of the sample data.  Sample data here is independent for both samples.

Answer:x-(2 7/8)=1/2

Step-by-step explanation:

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

you add the numbers on each side of the question mark (separately,not all together) so 2+3=5 and 4+1=5 so they both = 5 meaning the symbol needed is =

Answer:

the number of people would have been 48