Officer Brimberty wrote 16 tickets for traffic Violations last week, but only 10 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent The percent decrease is​

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Soln:

Step-by-step explanation:

Here,

Base(b) =9

Opposite/Perpendicular (p)= x

Hypotenus (h) = 24

We know,

(p)^2 = (h)^2 - (b)^2

(x)^2 = (24)^2 - (9)^2

x^2 = 576 - 81

x^2 = 495

x = root under 495

Answer:

1- 22.2486  2- No

Step-by-step explanation:
1:

\(b = \sqrt{ c^{2}- a^{2}\)

C is the hypotenuse, or longest side of the triangle (24).

A is the one length we have besides the hypotenuse(9).

\(b = \sqrt{ 24^{2}- 9^{2}\)

b = 22.2486

2:
No, because if it was a Pythagorean triple, it would follow the equation \(a^{2} +b^{2} =c^{2}\).

\(9^{2} + 22.2485^{2} \neq 24^{2}\).

Answer:

=−1±1 3√4

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Move the constant to the left, 4x^2+2x-2-1=0

Calculate the difference, 4x^2+2x-3=0

then solve using quadratic equation (must too difficult to type out)

Answer:

22.9166%

Step-by-step explanation:

That is the answer, take note that the six is infinite.

Answer:

60 units²

Step-by-step explanation:

A = ½bh

Let the horizontal line AC be the base which has a length of 10 along the line y = 7

The vertical distance between this line and point B is 7 - (-5) = 12

A = ½(10)(12)

Answer:

answer attached

Step-by-step explanation:

use Excel to easily find MANY ordered pairs for the solution to the equation

Answer:

84.37 %.

Step-by-step explanation:

The question is shown in the attached figure.

We have,

\(f(t)=2t^3+10,\ t=3\)

We can find the value of f(t) at t = 3,

\(f(3)=2(3)^3+10\\\\f(3)=64\)

Finding f'(t).

\(f'(t)=6t^2\)

Finding f'(t) at t = 3

\(f'(3)=6(3)^2\\\\=54\)

The relative change is calculated as :

\(\dfrac{f'(t)}{f(t)}=\dfrac{54}{64}\\\\=0.8437\)

In percentage rate of change,

\(\dfrac{f'(t)}{f(t)}=0.8437\times 100\\\\=84.37\%\)

Hence, the required percent change is 84.37 %.

The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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Probabilities are used to determine the chances of an event.

The probability of obtaining a z value of less than 1.68 is 0.95352

The probability is represented as:

\(\mathbf{P(z < 1.68)}\)

To do this, we make use of the z-score of probabilities table and/or calculator.

Using the calculator, we enter 1.68 as the z-score.

The result is:

\(\mathbf{P(z < 1.68) = 0.95352}\)

This means that:

The probability of obtaining a z value of less than 1.68 is 0.95352

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Answer: even, neither, odd, neither

Step-by-step explanation:

Answer:

He will have in total $1312.50

He earns a total of $62.50

Step-by-step explanation:

1250 x 1.05 = 1312.50

1250 x 0.05 = 62.50

The area of the triangle STU is 11.5 square units

The area of a triangle with vertices (x₁, y₁), (x₂, y₂) and (x₃, y₃) is given by:

A =  (1/2) [x₁(y₂ – y₃) + x₂(y₃ – y₁ ) + x₃(y₁ – y₂)]

Where:

S: (x₁, y₁) = (-6, -9)

T: (x₂, y₂) = (-3,-4)

U: (x₃, y₃) = (-7, -3)

A =  (1/2) [x₁ (y₂ – y₃) + x₂(y₃ – y₁ ) + x₃(y₁ – y₂)]

A =  (1/2) [-6 (-4 – (-3)) + (-3)(-3 – (-9)) + (-7)(-9 – (-4))]

A =  (1/2) [-6 (-4 + 3) + (-3)(-3 + 9) + (-7)(-9 + 4)]

A = (1/2) [6 -18 + 35]

A = 11.5  square units

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Domain:

Range:

Function:

Domain:

Range:

Function:

Answer:

x = 4.5 is the answer to the question

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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There are  0.09779 grams in 7.4 x 10^19 Atoms of copper.

The number of grams in a given number of atoms of an element, we need to use the concept of molar mass and Avogadro's number.

The molar mass of an element represents the mass of one mole of that element. For copper (Cu), the molar mass is approximately 63.546 grams per mole.

Avogadro's number, denoted as N_A, is the number of atoms or molecules in one mole of a substance. It is approximately 6.022 x 10^23 atoms/molecules per mole.

To calculate the mass of a given number of atoms, we can use the following steps:

Step 1: Determine the number of moles of copper atoms.

Given: 7.4 x 10^19 atoms of copper

Number of moles = (Number of atoms) / (Avogadro's number)

Number of moles = (7.4 x 10^19) / (6.022 x 10^23)

Step 2: Calculate the mass using the molar mass of copper.

Mass = (Number of moles) x (Molar mass)

Mass = (7.4 x 10^19) / (6.022 x 10^23) x 63.546

Now, we can perform the calculations:

Mass ≈ 0.09779 grams

Therefore, there are approximately 0.09779 grams in 7.4 x 10^19 atoms of copper.

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Answer: 70, 130

Step-by-step explanation:

In the given normal distribution with a mean of 100 and standard distribution of 15, 95% of values will fall between 70 and 130 using the Empirical rule of 95%.

Step-by-step explanation:

A normal distribution with a mean of 100 and a standard distribution of 15 is given.

We will find where 95% of data fall in the given normal distribution.

It states that in a normal distribution approximately 95% of observations fall within two standard deviations from the mean on both sides of the normal curve.

The mean in a normal distribution is the center of the normal curve.

The standard deviation in a normal distribution is the distance from the mean to the required point on either side.

We have,

Mean = 100

Standard deviation = 15

Applying the 95% rule we get,

On the right side of the normal curve

Mean + 2 x standard deviation = 100 + 2x 15 = 100 + 30 = 130.

On the left side of the normal curve,

Mean - 2 x standard deviation  = 100 - 2x15 = 100 - 30 = 70.

Thus, we see that by using the Empirical rule of 95%, 95% values will fall between 70 and 130.

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Answer:

y+1=3(x+8)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-1))/(-6-(-8))

m=(5+1)/(-6+8)

m=6/2

m=3

y-y1=m(x-x1)

y-(-1)=3(x-(-8))

y+1=3(x+8)

An odd integer can be expressed as x = 2n+1 where n is an integer. (Therefore making 2n an even number and 2n+1 an odd number).

Three consecutive odd integers can then be expressed as  (2n+1), (2n+3), and (2n+5).

The sum of the first two integers is (2n+1) + (2n+3) = 4n+4 = 4(n+1). It is supposed to be 24 less than 4 times the third integer, or

4(2n+5)-24.

Setting both equal and solving for n:

4(n+1) = 4(2n+5)-24

24 = 4·6, so you can factor out 4 in the right-hand expression.

4(n+1) = 4(2n+5-6)   or   4(n+1) = 4(2n-1)

Cancel out factor 4 and solve for n.

n+1 = 2n-1      this yields   n=2

Now plug in into your three consecutive odd integer expressions:  (2n+1) = 5, (2n+3) = 7, (2n+5) = 9. The sum is therefore 5+7+9 = 21.

Double check your answer:  

Sum of first two integers:  5+7 = 12

24 less than 4 times third integer:  4·9 - 24 = 36-24 = 12.

Using compound interest formula, her balance after retirement is $430797.77

To calculate the balance of Marissa's retirement account after 30 years, we need to determine how much her savings account and index fund will be worth after 30 years, taking into account the interest earned and her monthly contributions.

First, we'll calculate the balance of her savings account:

Initial deposit: $2000

Interest rate: 1.5%

Monthly contribution: $150

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her savings account after 30 years will be:

2000*(1+0.015/12)^360 + 150*(((1+0.015/12)^360-1)/(0.015/12))

A = $71280.33

Next, we'll calculate the balance of her index fund:

Initial deposit: $1000

Interest rate: 6.8%

Monthly contribution: $300

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her index fund after 30 years will be:

A = 1000*(1+0.068/12)^360 + 300*(((1+0.068/12)^360-1)/(0.068/12))

A = $359517.44

Then we can add the balance of both the savings account and the stock market to get the total balance of Marissa's retirement account.

Her balance = $71280.33 + $359517.44 = $430797.77

Please note that the above answer is an estimation, in reality there are other factors such as taxes, inflation, fees, and market conditions that should be considered in a real-world scenario.

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A reasonable domain for this function is [0, 18)

The domain of a function is a value of the independent variable of the function for which it exists.

Given the equation below:

M(x)= -40x+720

Since the function represents the The amount of money remaining in the budget for marketing  then the function f(x) must be greater than zero;

−40x + 720 > 0

-40x> -720
x < 720/40
x < 18

This shows that a reasonable domain for this function is [0, 18)

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Answer: Choice A

m = undefined

point (-2,5)

==================================================

Explanation:

The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)

Another point on this line is (-2,5) since this also has x coordinate -2.

------------------

All vertical lines have undefined slope.

Let's pick two points such as (-2,0) and (-2,1) and find the slope through them

m = (y2-y1)/(x2-x1)

m = (1-0)/(-2-(-2))

m = (1-0)/(-2+2)

m = 1/0

m = undefined, since we cannot divide by zero.

Answer:

B is the correct answer

Step-by-step explanation:

Answer: the answer would be  y=6x-2

Step-by-step explanation: i dont know the xplanation i did the answer befor i remeberd the answer

Answer:

15 hrs

Step-by-step explanation:

9 persons = 150/8 = 18.75 cakes/hr

12 persons = x

x = 12×18.75/9 = 25 cakes/hr

25 cakes = 1 hr

375 cakes = y

y = 375/25 = 15 hrs

Therefore it takes 15 hrs to bake 375 cakes.

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