M- Determine whether or not the procedure described below results in a binomial distribution. If it is not​ binomial, identify at least one requirement that is not satisfied.Six hundred different voters in a region with two major political​ parties, A and​ B, are randomly selected from the population of 5500 registered voters. Each is asked if he or she is a member of political party
A. Yes, the result is a binomial probability distribution.B. No, the trials are not independent and the sample is more than 5% of the population.C. ​No, there are more than two possible outcomes.D. ​No, the number of trials is not fixed.E. No, the probability of success is not the same in all trials

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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Answer:

Rhombus

Step-by-step explanation:

Trapezoids have only one pair of parallel sides, therefore this isn't a trapezoid. Squares and rectangles, on the other hand, have two pairs of parallel lines like this shape. However, squares and rectangles cannot have slanted sides, and this shape does.

Answer:

The answer is C

Step-by-step explanation:

9514 1404 393

Answer:

  \(f^{-1}(x)=\dfrac{\sqrt[3]{x}+1}{2}}\)

Step-by-step explanation:

Interchange x and y in the function definition and solve for y.

  \(x=(2y-1)^3\\\\\sqrt[3]{x}=2y-1\qquad\text{take cube root}\\\\\sqrt[3]{x}+1=2y\qquad\text{add 1}\\\\y=\dfrac{\sqrt[3]{x}+1}{2}\qquad\text{divide by 2}\\\\\boxed{f^{-1}(x)=\dfrac{\sqrt[3]{x}+1}{2}}\)

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Answer:

-3.1, -2.9, 2.2, 3.2

Hope this helps!

Answer:

b, d, e

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

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Answer:

The x intercept is (2,0)

The y intercept is (0,4)

Step-by-step explanation:

y = 4 - 2x

To find the x intercept, let y =0 and solve for x

0 = 4 - 2x

Subtract 4 from each side

-4 = -2x

Divide by -2

-4/-2 = -2x/-2

2 =x

The x intercept is (2,0)

To find the y intercept, let x =0 and solve for y

y = 4 - 2*0

y = 4

The y intercept is (0,4)

Answer:

Table of Annual CPI values

2003-184.00            

2004-188.90

2005-195.3

2006-201.6

2007-207.342

2008-215.303

2009-214.537

2010-218.056

2011-224.939

2012-229.594

2013-232.957

2014-236.736

QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?

Answer:

Step-by-step explanation:

From the question we are told that

CPI for 2003(index)=2003-184.00  

CPI for 2013(index)=2013-232.957  

Starting salary in 2013 at $34,862

Generally  comparable starting salary C is given as

Therefore C the comparable starting salary is givrn to be

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

7+15/5

Answer:

10

Step-by-step explanation:

subsitute

7+15/5=10

The rate of change of the cost in dollars with respect to the number of t-shirts printed is $0.75 per shirt.

An equation is an expression that shows the relationship between two or more numbers and variables.

A linear function is in the form:

y = mx + b

Where m is the rate of  change and b is the initial value of y.

Given that the cost f(x) in dollars for printing x, t-shirts is given by:

f(x) = 100 + 0.75(x - 50)

f(x) = 0.75x + 62.5

Comparing with linear function, the rate of change is 0.75

The rate of change of the cost in dollars with respect to the number of t-shirts printed is $0.75 per shirt.

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Answer:

x=18°

hope it helps.......

Answer:

x=15 degrees

hope it helps you

To find the amount of wet food Luck mixed with the dry food, we can use the fact that he put 5/4 cups into each of the 4 bowls. Therefore, he used a total of 5/4 x 4 = 5 cups of wet food.

Thus, Luck mixed 3 cups of dry food and 5 cups of wet food to prepare the dog's meal.

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Given the triangle ABC below.

a is the side facing b is the side facing

c is the side facing

We ara interested in calculating the value of side a and b.

To do this, we need to apply the "sine rule"

Sine rule state that

Where

a is the side facing b is the side facing

c is the side facing

To calculate b,

B = 95 , b = ?

C = 48, c=100

b = 134 ( to nearest whole number)

To calculate a:

A = 37, a = ?

C = 48, c=100

a = 81 ( to the nearest whole number)

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

6

Step-by-step explanation:

Answer:

a) ( 76.20, 83.80)

b) ( 76.47, 83.53)

Step-by-step explanation:

a)

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 80

Standard deviation r = 15

Number of samples n = 60

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

80 +/-1.96(15/√60)

80+/-1.96(1.936491673103)

80+/- 3.80

= ( 76.20, 83.80)

Therefore at 95% confidence interval = ( 76.20, 83.80)

b)

Mean x = 80

Standard deviation r = 15

Number of samples n = 120

Confidence interval = 99%

z(at 99% confidence) = 2.58

Substituting the values we have;

80 +/-2.58(15/√120)

80+/-2.58(1.369306393762)

80+/- 3.53

= ( 76.47, 83.53)

Therefore at 99% confidence interval = ( 76.47, 83.53)

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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The image point of the coordinate X after the rotation is (-1, 5).

When a point is rotated 90° clockwise around the origin, the new point will be formed by switching the x and y-coordinates and then negating the new x-coordinate.

So for point X (-5, -1), the new x-coordinate will be -1, and the new y-coordinate will be -(-5) = 5, giving the new point (-1, 5).

Therefore, after a rotation of 90° clockwise, point X (-5, -1) will be at the new location (-1, 5).

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1/3

The notation P(x) is used to describe the probability of event x occurring.

Divisors

Before we can do the probability question, we need to find the divisors of 6. Divisors are numbers that can evenly divide another number. The factors and divisors of a number are the same. So, 6 has 4 divisors:

All of these values are on a 6-sided dice. So, in this probability question, there are 4 unsuccessful outcomes.

Probability

The probability of a simple event is the number of successful outcomes divided by the number of possible outcomes. In this situation, there are 6 possible outcomes, each side of the dice. Four of these outcomes do not satisfy the given condition (not a divisor of 6). Thus, there are 2 successful outcomes.

The probability of rolling a number that is not a divisor of 6 is 1/3.

Answer:

Step-by-step explanation:

1)  DE = 6/sin63 = 6.7

DF = 6/tan63 = 3.1

m∠E = 180 - 90 - 63 = 27°

2)  tan30 = 1/√3 = UV / (27√10)

UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30

3)  cosV = 3/8

cos⁻¹(3/8) = 68

m∠V = 68°

Answer:

y=123

Step-by-step explanation:

y-29=94

y-29+29=94+29

y+0=123

y=123

Answer:

13

Step-by-step explanation:

16 - 3

Answer: C. 5;6 And  20: 24

Step-by-step explanation:

10 divided by 2 is 5               :              20 divide by 10 equal 10

12 divided by 2 is 6                :             24 divide by 12 equal 2

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Using the basic knowledge of Trignometry,

tan 68 = h / 2

2. 4751 = h /2

cross -multiply,

h = 2 x 2.4751

h= 4.9502 = 4.95 feet ( 2 decimal places)