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The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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Answer:

B

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180° , so

∠ c + 56° + 38° = 180°

∠ c + 94° = 180° ( subtract 94° from both sides )

∠ c = 86°

Answer:

Total number of balls equals 14

Probability of 1 red ball = 7 / 14

Probability of second red ball = 6 / 13

Probability of third red ball = 5 / 12

Total probability = 7 / 14 * 6 / 13 * 5 / 12

Total = 1/2 * 6/13 * 5/12

Common denominator = 312

Total = (1 * 6 * 5) / 312) = 30 / 312 = .096

One can enter fractions into a calculator and get the same result.

Answer:

7/14 = 1/2

Step-by-step explanation:

Answer:

\((a)\ H_a : d_1 - d_2 \ne 0\)

\((b)\ H_0 : d_1 - d_2 = 0\)

\((c)\ p\ value = 0.0216\)

Step-by-step explanation:

Given

The above data

The question says 12 college students were sampled. However, data for 11 students were provided.

So, I will solve this question using 11 students i.e. n = 11

Solving (a): The alternative hypothesis

Let the relative dominance of the hypnotized students (condition 1) be \(d_1\) and the relative dominance of the non-hypnotized students (condition 2) be \(d_2\), respectively

The alternative hypothesis is the difference between these relative dominance not equal to 0.

So:

\(H_a : d_1 - d_2 \ne 0\)

Solving (b): The null hypothesis

The null hypothesis is the difference between these relative dominance equal to 0.

Using the same notation as (a), the null hypothesis is:

\(H_0 = d_1 - d_2 = 0\)

Solving (c): The p value

Using paired samples t test:

First, calculate the difference in scores

\(i.e.\ Condition\ 1 - Condition\ 2\)

The difference (d) is as follows:

\(d: 14, 2, 4,2, 2, 15, 5, -5, 4, 2, 6\)

Next, calculate the mean of the differences:

This is calculated as:

\(\mu = \frac{\sum x}{n}\)

\(\mu = \frac{14+ 2+ 4+2+ 2+ 15+ 5 -5+ 4+ 2+ 6}{11}\)

\(\mu = \frac{51}{11}\)

\(\mu = 4.6364\)

Next, calculate the standard difference of the differences.

This is calculated as:

\(\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n-1}}\)

So:

\(\sigma = \sqrt{\frac{(14 - 4.6364)^2+ (2- 4.6364)^2+ (4- 4.6364)^2+ ............ (6- 4.6364)^2}{11-1}}\)

\(\sigma = \sqrt{\frac{318.54545456}{10}}\)

\(\sigma = \sqrt{31.854545456}\)

\(\sigma = 5.64398\)  

Next, calculate the standard error of the mean difference.

This is calculated as:

\(SE = \frac{\sigma}{\sqrt{n}}\)

\(SE = \frac{5.64398}{\sqrt{11}}\)

\(SE = \frac{5.64398}{3.3166}\)

\(SE = 1.70173\)

Next, calculate the degree of freedom (df)

\(df = n -1\)

\(df = 11 -1\)

\(df = 10\)

Lastly, calculate the test statistics (t)

This is calculated as:

\(t = \frac{\mu}{SE}\)

\(t = \frac{4.6364}{1.70173}\)

\(t = 2.72452\)

\(t \approx 2.72\)

From the t distribution table:

Where \(df = 10\) and \(t = 2.72\)

We have:

\(P(t > 2.72) = 0.0108\)

For a two-tailed test, the p value is

\(p\ value = 2 * P(t > 2.72)\)

\(p\ value = 2 * 0.0108\)

\(p\ value = 0.0216\)

Answer:

(x^2-1)(x+1)=0

(x+1)(x-1)(x+1)=0

x=1; x=-1

Step-by-step explanation:

Answer:

(x^2-1)(x+1)=0

(x+1)(x-1)(x+1)=0

x=1; x=-1

Step-by-step explanation:

The least amount of each hot dogs and hot dog buns Beverly needs to buy is 24

Find the least common multiple (LCM) of 12 and 8

The least common multiple (LCM) of 12 and 8 is 24

Number packages of each item would Beverly have to buy?

Hot dog = 12 in a package

= 24 /12

= 2 packages

Hot dog buns = 8 in a package

= 24/8

= 3 packages

Therefore, the number of packages of each hot dogs and hot dog buns would Beverly have to buy us 2 packages and 3 packages respectively.

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length=(2x-3)

width=(3x-5)

perimeter=26

perimeter= (2 times length) + (2 times width)

26= 2(2x-2) + 2(3x-5)

26 = 4x - 6 + 6x - 10

26 = 10x -16

26 + 16 = 10x -16 + 16

10 = 10x

10 ÷ 10 = 10x ÷ 10

1 = x

Answer:

y=2.2

Step-by-step explanation:

5(2.2)=11

9+11=20

Answer:

40 servings

Step-by-step explanation:

2 1/2 / 1/16 = 5/2 x 16/1 = 80/2 = 40

Answer:23.06

Step-by-step explanation:

subtract 85.6 from 62.54 and that should shoot out your answer

Answer:

x = 148.14

Step by Step explanation:

You add 62.54 plus 85.60 equals 148.14.

Answer:

Psychology textbooks = 98 and physics textbooks = 294

Step-by-step explanation:

Let there are x psychology textbooks sold.

No of physics textbooks sold = 3x

ATQ,

A textbook store sold a combined total of 392 physics and psychology textbooks in a week.

x + 3x = 392

4x = 392

x = 98

It means there are 98 psychology textbooks sold and 3x = 3(98) = 294 physics textbooks sold.

Answer: The statement you've provided describes the economic concept of elasticity. Elasticity is a measure of how responsive the quantity demanded or supplied of a good or service is to a change in its price. It measures the responsiveness of the consumers' and producers' behaviors to changes in price, in other words, how sensitive the consumers or producers are to changes in the good or service prices.

There are different types of elasticity, such as price elasticity of demand and price elasticity of supply. Price elasticity of demand measures how much the quantity demanded of a good changes in response to a change in its price. If a good has a high price elasticity of demand, then a small change in its price will result in a large change in the quantity demanded of the good. On the other hand, price elasticity of supply measures how much the quantity supplied of a good changes in response to a change in its price. A good with a high price elasticity of supply will see a large increase in the quantity supplied in response to a small price increase.

Elasticity is a very important concept in economics because it helps to understand how consumers and producers will react to changes in prices and how it would affect the overall economy.

Step-by-step explanation:

Answer:

x = 58.03°

Step-by-step explanation:

Given:

Solve for x:

1. \(x=cos^{-1}(\frac{9}{17})=58.03\)

Answer:

So, the measure of angle x is equal to 58.03.

Answer:

4.0

Step-by-step explanation:

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Division is one of the four fundamental arithmetic operations. The pounds of hamburgers that Mr. Farley used in each patty is 0.4 pounds per patty.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Mr. Farley used 4 pounds of hamburger to make 10 hamburger patties of the same size. Therefore, the pounds of hamburgers that Mr. Farley used in each patty is,

Pounds of hamburgers in each patty

= Total pounds of hamburger/Number of patty

= 4 pounds / 10 patty

= 0.4 pounds per patty

Hence, the pounds of hamburgers that Mr. Farley used in each patty is 0.4 pounds per patty.

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ANSWER

EXPLANATION

First, we have to solve the equation for y. To do this, divide both sides by 102:

Now, let us find the value of the expression by substituting the value of y into the expression:

That is the answer.

Given:

The function

Required:

Find p , a.

Explanation:

We have

Now,

Answer:

Answered the question.

A rhombus is a quadrilateral with 4 congruent sides.

For the Rhombus ABCD given

Also,

Also,

Step-by-step explanation:

P=2a+2b=2*9+2*14=46. ft

P(of the half circle)=πd/2=3.14*10/2=15.7

P(of the whole figure)=46ft+15.7ft=61.7ft

Answer:

yes

Step-by-step explanation:

Yes it is, assuming we decide to use the Pythagorean Theorem to find the hypotenuse (10) it'll be possible considering the formula is c²=√a²+b²

(c being the longest side of the triangle)

a= 6 and b= 8

The value of the z-score for the number 15  in a data set is 0.93.

Define z-score.

A data point's z-score, also known as a standard score, indicates how far it deviates from the mean. In practical terms, however, it's a measurement of how many standard deviations a raw number is from or above the population mean.

You can plot a z-score on a normal distribution graph. Z-scores can be anywhere between -3 and +3 standard deviations.

                     ∴  z = (x – μ) / σ

Given:

σ = 4.32

x = 15

Data set: 5, 7, 9, 11, 13, 15, 17

So, mean = 5 + 7 + 9 + 11 + 13 + 15 + 17/7

                = 77/7

            μ = 11

z = (x – μ) / σ

  = (15 - 11)/4.32

   = 4/4.32

z  = 0.93

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Answer:

55%

Step-by-step explanation:

180-120=66

66/120 = 0.55

55%

Answer:

C

Step-by-step explanation:

The expression that represent the perimeter of the triangle is 3d² - 4d + 1.

The perimeter of any two-dimensional figure is simply the distance around the figure.

Hence, the perimeter of the triangle is the sum of all its 3 side lengths.

From the diagram:

Side length 1 = ( d² + 3 )

Side length 2 = ( 4d² + 3d - 2 )

Side length 3 = ( -2d² - 7d )

Hence, the perimeter of the triangle will be:

Perimeter = side length 1 + side length 2 + side length 3

Plug in the expressions

Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )

Collect and add like terms:

Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d

Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2

Perimeter = 3d² - 4d + 1

Therefore, the perimeter is 3d² - 4d + 1.

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Answer:

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Answer:

The value is  \(Z = 1120 \  eight -digit \ code \)  

Step-by-step explanation:

From the question we are told that

    The birth date of  Shannon is  12/21/1982

 Generally the number of digits present in her birth date is N = 8

  Looking at the date we can see that  1 repeated  3 times

                                                                2 repeated 3 times

 Generally the total number eight -digit code that she could make using her birthday given  the total  number of digits that make up her birth date is N = 8

is mathematically represented as

            K =  8!

but but given that  digit 1 repeated itself 3 times , and 2 repeated itself 3 times then the total number of eight -digit code that she could make using her birthday will be mathematically evaluated as

            \(Z =  \frac{K}{3 ! *  3!}\)

=>         \(Z =  \frac{8!}{3 ! *  3!}\)

=>       \(Z =  \frac{8*  7*6*5* 4 * 3!}{3 ! *  3* 2*1 }\)    

=>         \(Z = 1120 \  eight -digit \ code \)  

Shannon could make 40,320 eight-digit codes using her digits in her birthday.

Given that Shannon was born on 12/21/1982, to determine how many eight-digit codes could she make using the digits in her birthday, the following calculation must be performed:

Therefore, Shannon could make 40,320 eight-digit codes using her digits in her birthday.

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Answer: x = 16

Step-by-step explanation: The y values keep going up by multiplying 2. 2x2=4, 4x2=8, so 8x2=16.

To plot the points just put the point coordinated with the x values and y values.