Which expression is equivalent to 3(–2x – 1)?
*

Answer:

$ 54 331.11

Step-by-step explanation:

21  years semi-annually is 42 periods

interest rate per period = 10% /2 = .10 /2 = .05

7000 (1 + .05)^42 =

Answer:

Since acceleration is the derivative of velocity, velocity is the antiderivative of acceleration. If you know the acceleration for all time, and if you know the starting velocity, you can figure out the velocity for all time.

Step-by-step explanation:

Answer:

Since acceleration is the derivative of velocity, velocity is the antiderivative of acceleration. If you know the acceleration for all time, and if you know the starting velocity, you can figure out the velocity for all time.

Answer:

  (a)  Theorem 9

Step-by-step explanation:

Any of the given theorems can be used to prove lines are parallel. We need to find the one that is applicable to the given geometry.

The marked angles are between the parallel lines (interior) and on opposite sides of the transversal (alternate).

Theorem 9 applies to congruent alternate interior angles.

we have the expression

10z+9w

Evaluate when

z=10 and w=7

substitute in the given expression

10(10)+9(7)

100+63

163

therefore

the answer is

163

The probability that randomly selected person either has high blood pressure or is runner or both is 0.5.

Given:

P(H) = 0.2

P(R) = 0.4

P(H and R) = 0.1

The number of favorable outcomes to all possible outcomes of an event is the ratio, which is known as probability. The number of good outcomes can be represented by the symbol x for an experiment with 'n' number of outcomes. The following equation can be used to determine an event's probability.

Favorable Results/Total Results = x/n, where Probability(Event)

P(H or R) = P(H+P(r)-P(H and R)

= 0.2+0.4-0.1

= 0.5

Hence we get the probability as 0.5

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Answer:

27.3

Step-by-step explanation:

27.3

Answer:

Plays a musical instrument

Top left

Plays a sport: 0.46

Plays a musical instrument

Top right

Does not Play a sport: 0.54

Does not play a musical instrument

Bottom Left

Plays a sport: 0.73

Does not play a musical instrument

Bottom right

Does not Play a sport: 0.27

Step-by-step explanation:

I hope this helps you! :D

False, that is if the number of data observations is even, the median is generally considered to be the average of middle values not the first and last values.

The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.

At least half of the observations are equal to or smaller than the median, and at least half of the measurements are equal to or greater than the median. The median divides the bottom half of observations from the upper half.

Even Number of Observations :

Suppose we have the monthly wages of 4 employees of a company. How would you find the median wage?

wages are 120,240,500,400

we have arranged their wages above from lowest to highest. This ranking will help us to determine the median. Using the method introduced earlier, the median is computed by taking the simple average of the (n/2)ᵗʰ = (4/2)ᵗʰ = 2ⁿᵈ and

(n/2 + 1)ᵗʰ = (2+1)ᵗʰ = 3ʳᵈ observations.

Therefore, the median is 240+500/2

= 370.

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Complete question

True/false

if the number of data observations is even, the median is generally considered to be the average of the first and last values

The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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Answer:

4 pizza's

Step-by-step explanation:

hope this helps :)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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By following trigonometry identities we get  b equals **7**

Trigonometric identities are equations involving trigonometric functions that hold for all possible values of the variables that occur and for which both sides of the equation are specified. These identities come in use if trigonometric function-based formulas need to be made simpler 1.

There are numerous distinctive trigonometric identities that involve a triangle's side length and angle 2. Only the right-angle triangle 2 is covered by the trigonometric identities. The three main trigonometric functions are sine, cosine, and tangent, while the other three are cotangent, secant, and cosecant.

Some of the most popular trigonometric identities are listed below:

sin²(x) + cos²(x) = 1

- tan(x) = sin(x)/cos(x)

- cot(x) = cos(x)/sin(x)

- sec(x) = 1/cos(x)

- csc(x) = 1/sin(x)

- sin(2x) = 2sin(x)cos(x)

- cos(2x) = cos²(x) - sin²(x)

- tan(2x) = (2tan(x))/(1 - tan²(x))

The use of these identities

.One angle in a right triangle is x°, where sin x°=4/5 . With this knowledge, we can use the inverse sine function (arcsin) to calculate the value of x, which gives us x = arcsin(4/5) = 0.9272952180016122 radians .

In addition, we are informed that NL = 22.5 and NM = 3b. We can get the value of LM, which is equal to√(NL2 + NM2), using the Pythagorean theorem. 2. When the given values are substituted, we obtain LM = √((22.5)2 + (3b)2) = sqrt(506.25 + 9b2).

LM is equivalent to b times cos(x°) since it is the polar opposite of the right angle. Consequently, we can write:

b cos(x°) = √(506.25 + 9b²)

Substituting x = arcsin(4/5), we get:

b cos(arcsin(4/5)) = √(506.25 + 9b²)

Simplifying this equation using trigonometric identities, we get:

b * (√1 - sin²(arcsin(4/5)) = sqrt(506.25 + 9b²)

b × (√(1 - (4/5)²)) = sqrt(506.25 + 9b²)

b× (√(1 - 16/25)) = sqrt(506.25 + 9b²)

b× (√(9/25)) = sqrt(506.25 + 9b²)

3b/5 = √(506.25 + 9b²)

Squaring both sides of the equation, we get:

9b²/25 = 506.25 + 9b²

Solving for b, we get:

b = 7

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Answer:

the product of the decimal equivalents of all discount in the series

Answer:

First dot (angle C is congruent to angle L)

Step-by-step explanation:

AAS needs to have 2 congruent angles and one side that is non-including to those angles.

The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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Answer:

16 People have 2 pieces of gum

Answer: 7 ; 26 ; 123

Step-by-step explanation:

Min __Q1 __ Median ___ Q3 __ Max

7____ 72 ____79 ______86__ 123

Given the 5 number summary information :

The Outlier :

Lower bound : Q1 - (1.5 * IQR)

Upper bound : Q3 + (1.5 * IQR

IQR = Q3 - Q1 = (86 - 72) = 14

Lower = 72 - (1.5 * 14)

Lower boundary = 51

Upper boundary = 86 + (1.5 * 14)

Upper boundary = 86 + 21 = 107

Values below 51 and values greater Than 107 are outliers.

Hence, 7, 36 and 123 are outliers

Answer:

2 4 6 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean weight of Breed A is higher than the mean weight of Breed B. Therefore, Breed A has a high average weight. Here's how to determine it:

Step 1: Observe the mean weights for each breed.

Step 2: Compare the mean weights.

Therefore, Breed A has a high average weight.

The next question is, how about standard deviation? Standard deviation is the farthest difference between the data vector and the average. So, since the standard deviation of A is less than B, it supports that A also has more uniform data than B.

Answer:

-18x+8

Step-by-step explanation:

First you have to distribute the -2 to the 3x and the -5 in the parenthesis giving you -6x+10-12x-2.

Next you combine like terms which gives you -18x+8

Answer: mode  50  Mean x¯¯¯ 158.33333333333

Median x˜ 167.5

Step-by-step explanation: hope this helps

Range 250

Minimum 50

Maximum 300

Count n 12

Sum 1900

Answer:

1) \(\dfrac78\)

2) \(\dfrac{17}{12} = 1 \frac{5}{12}\)

3) \(\dfrac{53}{12}=4 \frac{5}{12}\)

Step-by-step explanation:

1)

\(\dfrac38+\dfrac12=\dfrac38+\dfrac{1 \times4}{2 \times 4}=\dfrac38+\dfrac48=\dfrac78\)

2)

\(\dfrac23+\dfrac34=\dfrac{2 \times 4}{3 \times 4}+\dfrac{3 \times3}{4 \times3}=\dfrac8{12}+\dfrac{9}{12}=\dfrac{17}{12}=1 \frac{5}{12}\)

3)

First convert mixed number into improper fraction:

\(4 \frac23=\dfrac{3\times4+2}{3}=\dfrac{14}{3}\)

\(\implies 4 \frac23-\dfrac{3}{12}=\dfrac{14}{3}-\dfrac{3}{12}=\dfrac{14\times4}{3\times4}-\dfrac{3}{12}=\dfrac{56}{12}-\dfrac{3}{12}=\dfrac{53}{12}=4 \frac{5}{12}\)

Using it's concept, it is found that the best example of a systematic random sampling is given by:

Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100 people is formed.

Samples may be classified as:

In this problem, we want a systematic sample, that is, every kth person(not group), hence the correct option is:

Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100 people is formed.

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Answer:

C. Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100 people is formed.

Step-by-step explanation:

Answer: 27.5 miles

Step-by-step explanation:

Part A

Given:

Volume of square pyramid = 73.5 cubic inches

height of square pyramid = 4.5 inches

To find:

1)Side length of square pyramid.

2)if side length of square pyramid is rational or irrational

Steps:

1) Side length = \(\sqrt{\frac{3v}{h} }\)

Side length = \(\sqrt{\frac{3*73.5}{4.5} }\)

Side length = \(\sqrt{\frac{3*73.5*10}{4.5*10} }\)         (multiplying both sides to make it a whole number)

Side length = \(\sqrt{\frac{3*735}{45} }\)

Side length = \(\sqrt{\frac{735}{15} }\)                  (3 gets canceled out)

Side length = \(\sqrt{49}\)

Side length = 7 inches

Therefore, the side length of the square pyramid is 7 inches long

2) 7 is a rational number, so the side length of the square pyramid is a rational number.

It is a rational number because,

it can be written in the form p/q,  where

1) q \(\neq\)0

2) p and q are co-prime

3) p and q are integers

Part B

Given:

Volume of Khafre's pyramid = 9/10 of Khufu's pyramid's volume

Volume of Kristina's first pyramid = 73.5 cubic inches

To find:

Volume of Kristina's second pyramid

Steps:

Volume of Kristina's second pyramid = 9/10 the volume of Kristina first pyramid

Volume of second pyramid = \(\frac{9}{10}*73.5\)

Volume of second pyramid = 9 \(*\) 7.35

Volume of second pyramid = 66.15 cubic inches

The volume of the second pyramid should be 66.15 cubic inches

Part C

Given:

Height of pyramid = 4.41 inches

Volume of pyramid = 66.15 cubic inches

To find:

1) Side length of pyramid

2) if the side length is rational or irrational

Steps:

1) Side length = \(\sqrt{\frac{3v}{h} }\)

Side length = \(\sqrt{\frac{3*66.15}{4.41} }\)

Side length = \(\sqrt{\frac{3*66.15*100}{4.41*100} }\)         (multiplying both sides to make it a whole number)

Side length = \(\sqrt{\frac{3*6615}{441} }\)

Side length = \(\sqrt{\frac{6615}{147} }\)                   (3 gets canceled)

Side length = \(\sqrt{45}\)

Side length of pyramid is \(\sqrt{45}\) inches

2) \(\sqrt{45}\) cant be written in the form of a fraction, so it is an irrational number

(if u want i can explain this more)

Part D

Given

Height of model pyramid = 4.5 inches

Height of Khufu's pyramid = 755.75 feet (had to search the internet for the answer, so I am not sure if it is correct)

Side length of model pyramid = 7 inches

Side length of Khufu's pyramid = 481.4 feet (had to search the internet for the answer)

To find:

1)If the model is to scale with Khufu's pyramid

2) If the model is close to scale with Khufu's pyramid

Steps:

1) First lets find the ratio of the height to the side length of the model

Ratio = 4.5 in : 7 in

         = 45 : 70

         = 9 : 14

         = 0.6428

Now lets find the ratio of the height to the side length of Khufu's pyramid

Ratio = 481.4 feet : 755.75 feet

         = 5776.8 in : 9069 in

         =  0.6369

Therefore the model is not to scale with Khufu's pyramid

2) Yes the scale is close

Part E

Given:

Height of model pyramid = 4.41 inches

Height of Khafre's pyramid = 448 feet

Side length of model pyramid = \(\sqrt{45}\) inches

Side length of Khafre's pyramid = 706 feet

To find:

1) If the model is to scale with Khafre's pyramid

2) If the model is close to scale with Khafre's pyramid

Steps:

1) First lets find the ratio of the height to the side length of the model pyramid,

Ratio = 4.41 in : \(\sqrt{45}\) in

= 4.41 : 6.7082

= 0.6574

Now lets find the ratio of the height to the side length of Khafre's pyramid

Ratio = 448 ft : 706 ft

= 5376 in : 8472 in

= 0.6345

Therefore the model is not to scale with Khafre's pyramid

2) No, the model is not close to scale,  (it depends by what is meant by close, for me its 0.01)

Happy to help, and I hope you learnt something from this answer that will help you in the future

If you didn't understand any topic pls ask

Answer:

y = - 4.5x + 120

75 = - 4.5x + 120

x = 10 minutes

Step-by-step explanation:

To model the scenario described above, we use the linear equation model ;

Where ;

y = bx + c ; c = intercept ; b = slope ; y = altitude at time x

The initial altitude of the hot air Ballon here is the intercept = 120 meters

The descent rate = 4.5 m per minute is the slope ; since it is descent, then the slope will be negative as the altitude will reduce.

Hence, we have ;

y = - 4.5x + 120

Hence, the time altitude will be 75 cabnbe modeled as :

y = 75

75 = - 4.5x + 120

75 - 120 = - 4.5x

- 45 = - 4.5x

x = 10 minutes

Answer:

A) 0.25/0.6      B) 40:96    E) 1/3 / 0.8

Step-by-step explanation:

A)

0.25/0.6  = 1/4÷3/5

=5/12

B)

40:96 = 5:12               You can divide 40 and 96 both by 8 to get 5:12

=5/12

E)

1/3 / 0.8 = 1/3 ÷ 4/5

=5/12

Hope this helps :)

Using translation concepts, the cubing function after the translations is given as follows:

y = -0.56x³.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The cubing function is given by:

y = x³.

The function is vertically shrunk by applying a factor of 0.56 and reflected across the y​-axis, that is, it was multiplied by 0.56 and x -> -x, hence the translated function is:

y = 0.56(-x³) = -0.56x³.

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