What are the sine, cosine, and tangent ratios for angle a?

Answer:

Step-by-step explanation:

Based on the data gathered on that certain day, I would say NO, the store does not need to change its staffing. The data shows that the percentages calculated by the store are extremely close to the actual percentage of people that arrived at those given hours throughout the day. The problem with this solution is that it does not take into account special circumstances, such as specific days, events, holidays, new popular items, etc. All of these can drastically affect the number of people that enter the store at a given time.

1. The retail store should not change its staffing arrangement.

2. Changing the staffing arrangement may not favor the retail store.

Data and Calculations:

                                             8:00 am &   12:00 pm &   4:00 pm &   8:00 pm &

                                              12:00 pm       4:00 pm      8:00 pm      midnight

Expected % of customers        32%             21%              35%                12%

Actual number of customers  214               198              276                  134

Total Number of customers = 822 (214 + 198 + 276 + 134)

Actual % of customers            26%             24%             34%                 16%

Difference between expected percentage of

 customers and actual           6%                3%                1%                  -4%

Variation                                 0.36%           0.09%         0.01%            0.16%

Sum of variation = 0.62%

Standard Deviation = 0.787

Thus, based on the standard deviation, the store should not change its staffing.

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Answer:

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Answer:

Thank you Do you Have a question Or?

Answer:

B ( 6,-6) ..

I think I'm correct

Answer:

550 lattes he sold this week

Step-by-step explanation:

$275÷$0.50= 550

Answer:

x = 30

Step-by-step explanation:

24(24 + x) = 36² => tangent-secant theorem

Open the bracket

24*24 + 24*x = 36²

576 + 24x = 1,296

24x = 1,296 - 576

24x = 720

Divide both sides by 24

24x/24 = 720/24

x = 30

Answer:

Step-by-step explanation:

Observe that [tex]y^6-64=y^6-2^6.[/tex]

And you factor out using this expression:

[tex](a^6-b^6)=(a-b)(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5)[/tex]

Take a=y and b=2.

Answer:

(y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)

Step-by-step explanation:

[tex]y^{6}[/tex] - 64 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

[tex]y^{6}[/tex] - 64

= (y² )³ - 4³

= (y² - 4)([tex]y^{4}[/tex] + 4y + 16) ← note y² - 4 is a difference of squares

= (y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)

Answer:

5.4 cm^2

Step-by-step explanation:

Given,

Height ( h ) = 2 cm

Base ( b ) = 5.4 cm

To find : Area ( triangle ) = ?

Formula : -

Area ( triangle ) = bh / 2

Area ( triangle )

= 5.4 x 2 / 2

= 5.4 cm^2

Answer:

The percentage decrease is 25%.

Step-by-step explanation:

The difference in price is $2:

$8 - $6 = $2

Now to find the percentage decrease, we use the formula decrease in price divided by original price (or new/old) times 100:

2/8 * 100.

This equals 200/800 which is 25%.

Answer:

2695.49 m

Step-by-step explanation:

A = 2πrh + 2πr2

2 · π · 13 · 20 + 2 · π · 132

2695.4865

Answer:

[tex]\frac{15\pi }{4}[/tex]

Step-by-step explanation:

Degrees to radians, multiply by pi/180

675pi/180

use a calculator to simplify

You get 15pi/4

The value of 675 degree is equivalent to [tex]\frac{15pi}{4}[/tex].

What is the formula to convert degree to radian?

The relation between radian and degree is given by Angle in radian=angle in degree*[tex]\frac{pi}{180}[/tex].

We will substitute 675 for angle in degree into the formula to get the value in radian.

[tex]\frac{675*pi}{180}[/tex]

This will be [tex]\frac{15pi}{4}[/tex].

Therefore, the correct answer is [tex]\frac{15pi}{4}[/tex].

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Answer:

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JUST KIDNG HERES THE ANSWERS BELOW.

7

15

-5

1

4

Step-by-step explanation:

Answer:

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Distribution of the difference in height between men and woman:

Applying the concept above:

[tex]\mu = 69.3 - 64 = 5.3[/tex]

[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]

What is the probability that the young man is taller than the young woman by more than 5 inches?

Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 5.3}{3.89}[/tex]

[tex]Z = -0.08[/tex]

[tex]Z = -0.08[/tex] has a pvalue of 0.4681

1 - 0.4681 = 0.5319

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Answer:

The image shows the answer and below I will explain more about it.

Step-by-step explanation:

To draw a line all you need is two points on the graph, and people mainly use the coordinates of the y and x intercepts to draw it (when x=0 and when y=0)

so for these questions all we do is:

y=0+2 (we are putting x=0 into the equation)

y=2, x=0 so this is the first of our set of coords:

0=x+2

x=-2 y=0 (we are putting y=0 into the equation)

so all you do is plot these in and draw a line which passes between both,

now just repeat for the other one :)

Answer:

4

Step-by-step explanation:

Nickels are 5 cents a piece so you will multiple 11 by 5 to find how much Alan has in nickels. Then subtract that from the total of 95 to get your answer.

11 × 5 = 55

95 - 54 = 40

Since dimes are worth 10 cents you divide 40 by 10 and that is how many dimes Alan has.

40/10=4

Answer:

mean of 8,3,5 = 5.333 or 16/3

mean of 44,89,23 = 52

Step-by-step explanation:

Answers and step-by-step explanations:

To find the mean, first, we are going to add all of the numbers, and divide by how many numbers there were. The first data set is:

8, 3, 5

Add them all up:

8 + 3 + 5 = 16

Then, since there were three numbers, we divide 16 by 3.

16/3 = 5.33

Therefore, the mean of 8, 3 and 5 is around 5.33.

The second data set is:

44, 89, 23

Add them up:

44 + 89 + 23 = 156

Then, divide it by how many numbers there were, which is 3.

156/3 = 52

Therefore, the mean of 44, 89 and 23 is 52. Hope this helps!

Answer:

7/30

Step-by-step explanation:

We first have 7 blue and 3 red out of 10, so P(1st ball is red) = 3/10

Now, we have pulled a red ball out of the bag, leaving us with 7 blue and 2 red out of 9 total balls.Then P(2nd ball is blue) = 7/9.  Put this together, P(1st red AND 2nd blue) = 3/10⋅7/9 =7/30

Answer:

a) a + b

Step-by-step explanation:

The value of the exterior angle x will be (a+b).

The angle made by the two lines of the figure which lie on the outside of the closed figure is called the exterior angle.

The exterior angle is the sum of the two opposite internal angles of any figure.

The exterior angle in the given figure will be equal to x = a+b the sum of the two opposite interior angles.

Therefore the value of the exterior angle x will be (a+b).

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Answer: b that is too easy

Step-by-step explanation:

The answer is No!! I hope this helps, have a wonderful day!

Answer:

A) yes, both functions are inverses of each other.

[tex]---------[/tex]

[tex]hope ~ it ~ helps\\\\have ~ a ~ great ~day!![/tex]

9514 1404 393

Answer:

  y = -3x

Step-by-step explanation:

The slope formula gives the slope of the segment between the given points.

  m = (y2 -y1)/(x2 -x1)

  m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3

The slope of the perpendicular line is the opposite reciprocal of this, so is ...

  m' = -1/(1/3) = -3

A perpendicular line is ...

  y = -3x

Answer:

A) 4π

Step-by-step explanation:

The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.

Answer:

19

Step-by-step explanation:

3(x-9)= 3x-27

3x-27=30

3x=57

x=19

Answer: 20 sq units

Step-by-step explanation:

A quick sketch graph will show the right angle is at (-3 ,4)

The lengths of the shorter sides are both sqrt(2^2 + 6^2) = sqrt(40)

Area = 1/2 x (sqrt(40))^2 = 20

If you didn’t have a right angle you could find the lengths of all sides a, b and c

Calculate the semi perimeter s = (a+b+c) / 2

And the area = sqrt(s(s-a)(s-b)(s-c))

Try and use this method to check the first one!

Answer: k^3=1

Step-by-step explanation:

Answer:k^3=1

Step-by-step explanation: