What is the probability of not drawing a queen from a standard deck of 52 cards?

Answer:

Step-by-step explanation:

The direct variation is defined as

where, k is constant of proportionality.

It is given that a direct variation function contains the points (-8,-6) and (12, 9).

Substitute x=-8 and y=-6 in the above equation.

Divide both sides by -8.

The value of constant of proportionality is . So, the required equation is

At x=12,

It means, the line passing through (12,9). Hence, the equation is correct.

Therefore, the equation of the function is .

Answer:

C

Step-by-step explanation:

The graph of the water level, relative to the pier, at time t (in hours) can be represented by the formula f(t) = -8sin(πt/3) - 18, where f(t) denotes the water level in feet.

1. Given that at high tide, the water level is 10 feet below the pier, and at low tide, the water level is 26 feet below the pier.

2. The water level follows a sinusoidal behavior, indicating a sine function will be used to represent the graph.

3. Let's consider the sine function: y = A sin(B(t - C)) + D, where A represents the amplitude, B is the frequency, C is the horizontal shift, and D is the vertical shift.

4. Since the water level goes from 10 feet below the pier (high tide) to 26 feet below the pier (low tide), the amplitude of the sine function is (26 - 10) / 2 = 8.

5. The period of the sine function is the time it takes to go from one high tide to the next. Given that the first low tide occurs at t = 3, the period is 3 hours. Therefore, the frequency B = 2π / 3.

6. The horizontal shift C is 0 because the first low tide occurs at t = 3, and the starting point is at t = 0.

7. The vertical shift D is -18 because at t = 0, the water level is -18 feet.

8. Combining the information from steps 4, 5, 6, and 7, the formula for f(t) is f(t) = 8sin(πt/3) - 18, which represents the water level relative to the pier at time t in feet.

9. Sketching the graph using this formula will give a visual representation of the water level at any given time.

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To find the height of the building, we need to use trigonometry. Let's call the height of the building "h" and the distance from point a to the building "x". From point a, the angle of elevation to the top of the building is given. Let's call this angle "θ".

Using trigonometry, we can write:

tan(θ) = h/x

We can rearrange this equation to solve for h:

h = x * tan(θ)

Now let's move to point b. We know that it is ft closer to the building than point a, so the distance from point b to the building is (x - ft). We also know the angle of elevation from point b, which we'll call "α".

Using the same equation as before, but with the new values, we get:

h = (x - ft) * tan(α)

Now we can set these two expressions for h equal to each other:

x * tan(θ) = (x - ft) * tan(α)

We can solve this equation for h:

h = x(tan(θ) - tan(α)) / (1 - tan(θ)tan(α))

This gives us the height of the building. We just need to plug in the values we were given for x, ft, θ, and α.

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Answer:

arithmetic

Step-by-step explanation:

because it bounced double

Answer:47

Step-by-step explanation

Answer:

Does NOT support

Step-by-step explanation:

While the absolute value is greater, when it comes to negative, bigger numbers aren't always better. In fact, two out of three of these equations go AGAINST his claim. For example, -15(x)<14(y), and -0.9(x)<-0.8(y).

The Annual Percentage Yield (APY) in this situation is approximately 2.454%.

To find the Annual Percentage Yield (APY) in this situation, use the formula:

\(APY = (1 + r/n)^n - 1\)

where:

- r is the annual interest rate (APR) expressed as a decimal,

- n is the number of compounding periods per year.

In this case, the APR is 2.42% or 0.0242 (expressed as a decimal), and the interest is compounded monthly, so there are 12 compounding periods per year (n = 12).

Substituting these values into the formula,

\(APY = (1 + 0.0242/12)^{12} - 1\)

Calculating this expression:

\(APY = (1 + 0.002017)^{12} - 1\)

  \(= (1.002017)^{12} - 1\)

   ≈ 0.02454 or 2.454%

Therefore, the Annual Percentage Yield (APY) in this situation is approximately 2.454%.

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area of the parallelogram is: b x h

12 x 4 = 48 (d)

Answer:

Graph A

Step-by-step explanation:

when shading, y is less than the line so you shade below. also y is not equal to any points on the line so you make a dotted line

The roots of the above equation 5x²+3x-2=0 will be real and distinct, and the problem will have two solutions.

A quadratic equation's roots are the variable values that fulfill the equation. They are also referred to as "solutions" or "zeroes" of the quadratic equation. The roots of the quadratic equation x^2 - 7x + 10 = 0 are x = 2 and x = 5, respectively, since they fulfill the equation. The roots of an equation are a fancy way of describing the equation's solutions. After solving the variable, the solutions are the numerical values that equal it. Simply replace the y with 0 if the equation is y = a^x2 + bx +c. This is done because the equation's roots are the values when the y axis equals 0.

Here,

5x²+3x-2=0

discriminant=√b²-4ac

=√3²-4*5*-2

=√9+40

=√49

=±7

The roots of given equation 5x²+3x-2=0 will be real and distinct and there will be 2 solutions for the equation.

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Answer:

x=-1

Step-by-step explanation:

6x-2=4x-4

-4x both sides

2x-2=-4

+2 both sides

2x=-2

divide by 2

x=-1

Answer:

2(3x-1)= 4(x-1)

Open bracket

6x-1= 4x-4

Group like terms

6x-4x= -4+1

2x=-3

Divide both sides by the coefficient of x

X= -3/2

Step-by-step explanation:

The total amount earned from mowing lawns by George is $50

From the question, we have the following parameters that can be used in our computation:

Earnings percentage = 140%

Angel total earnings in mowing lawns = $70

The amount earned from mowing lawns by George is then calculated as

Angel total earnings in mowing lawns = Earnings percentage  x Total amount earned from mowing lawns by George

Substitute the known values in the above equation

So, we have

70 = 140% x Total amount earned from mowing lawns by George

Divide both sides by 140%

Total amount earned from mowing lawns by George = 50

Hence, the total amount is $50

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Answer:

28.5 united squared

Answer:

Check pdf

Step-by-step explanation:

This two are characteristics of frequency tables

1. They can be used for quantitative data.

2. They can be used for qualitative data.

Frequency tables have the following characteristics:
1. They can be used for quantitative data:

Frequency tables display the number of occurrences of each value in a dataset, which is particularly useful when dealing with numerical or quantitative data.
2. They can be used for qualitative data:

Frequency tables can also be used for non-numerical or qualitative data, such as categories or groups, by counting the number of occurrences for each category.
4. No observation can fit into more than one class:

In a frequency table, each observation or data point is assigned to only one class or category, ensuring that there is no overlap between classes.

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Answer:

1

Step-by-step explanation:

= 21/21

= 1

Answer:

90

Step-by-step explanation:

let the number to be found be x then

23 \(\frac{1}{3}\) % of x = 21  ( change mixed number to improper fraction )

\(\frac{\frac{70}{3} }{100}\) x = 21

\(\frac{70}{300}\) x = 21 ( multiply both sides by 300 to clear the fraction )

70x = 6300 ( divide both sides by 70 )

x = 90

Then 23 \(\frac{1}{3}\) % 0f 90 = 21

Answer:

7n - 4

Step-by-step explanation:

Answer:

a) 30 games

b) 66 points total

c) 2.2 points/ game

d) modal goals = 1

Step-by-step explanation:

a) 2 + 10 + 7 + 6 + 3 + 2 =  30 total games

b) (2*0) + (10*1) + (7*2) + (6*3) + (3*4) + (2*5)

0 + 10 + 14 + 18 + 12 + 10 = 66 total goals

c) 66 goals/ 30 games = 2.2 goals/ games

d) highest frequency of number of goals is 1 goal

Answer:

The correct answer is C

Step-by-step explanation:

well simplified the answer is 2(4+x) and unsimplified the answer is C

Answer:

\((2 + 4x + 3) - (4x - 2x - 3) \\ = (4 - 4 + 2)x + (2 + 3 + 3) \\ = 2x + 8\)

Answer:

u of the record for me and my family are doing well and that you have a meeting with the record for me and my family are doing well and that you have

Answer:

Step-by-step explanation:

Just rewrite  y-3 = {(x - 1) as   y-3 = m(x - 1).   {(x - 1)  is not valid.

Next, solve this y-3 = m(x - 1) for y:

Adding 3 to both sides yields    y = m(x - 1) + 3, or:

y = mx - m + 3, or

y = mx + (-m + 3).  This is in slope-intercept form.

If you choose m = 2, then the equation becomes

y = 2x +(-2 + 3), or:

y = 2x + 1

Note:  to get a single answer to this question you must provide the m value.

Answer:

None of them are correct.

Step-by-step explanation:

because 42 x 22 = 924

Answer: none

Step-by-step explanation:

Answer:

\( x = \sqrt{17} \)

Step-by-step explanation:

By Pythagoras Theorem:

\(x = \sqrt{ {9}^{2} - {8}^{2} } \\ \\ x = \sqrt{81 - 64} \\ \\ x = \sqrt{17} \)

Answer:

Therefore, the measure of ∠x is 33 degrees.

Step-by-step explanation:

As angle ∠S is a right angle and angles ∠R and ∠x are complementary, we have:

∠R + ∠x = 90 degrees

Substituting the given values, we get:

57 + ∠x = 90

∠x = 90 - 57

∠x = 33 degrees

Answer: x = 32°

Step-by-step explanation: triangle of ABC = 58°, 90° & x°

                                              x = 180°-148° = 32°

(x° is equal to the unknown° where C is, as well as 58° where A is)

Answer:

D. 3 and 6

A linear model would be best for Scatterplots 3 and 6.

The third side of the triangle whose two sides are 11 cm and 19 cm can be between 9 and 29.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

The sides of triangles are 11 cm and 19 cm,

Let the third side of the triangle is x,

Since, a side of a triangle is greater than the difference of two sides and less than the sum of two sides,

implies that,

19-11<x<19+11

8 < x < 30

The possible range of third side is (9,29).  

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Answer:

8cm < x < 30cm

Step-by-step explanation:

To find the range of lengths for the third side of a triangle when two side lengths are known, first, assign a variable for the length of the third side.

Let x be the length of the unknown side.

Use the Triangle Inequality Theorem to write the three inequalities.

x + 11x > 19

x + 19 > 11

11 + 19 > x

Solve each inequality.

x > 8

x > -8

30 > x

Now find the range of values that satisfies all three inequalities.

The range between 8 and 30 satisfies all 3 inequalities. Therefore, this triangle's third side lengths range is 8cm < x < 30cm.

Answer:

3672

Step-by-step explanation:

According to BODMAS first we will remove the bracket and then we will multiply

477-18=459

459×8=3672