$89.75 scooter; 7.25% tax

The probability that at least one of them will score a goal if they each play the ball once is 47/48.

Probability is a mathematical and scientific term that describes the possibility or occurrence of an event. Many events are difficult to predict with absolute accuracy. Only the likelihood of an event occurring, i.e. how likely it is, can be predicted using probability.

Given:

The probabilities of Wukong and Nice scoring in the match are 7/8 and 5/6 respectively.

The probability that at least one of them will score a goal is,

=  1 - P(both of them not scoring a goal)

So the probability of Wukong and Nice not scoring a goal in the match is,

(1 - 7/8) (1 - 5/6) =  (1/8)(1/6) = 1/48

Now the required probability is,

=  1 - P(both of them not scoring a goal)

= 1 - 1/48

= 47/48

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Answer: 3a

Step-by-step explanation:

(4a*6a)/8a

24a^2/8a

3a

\(4a\times6a\)

\(4\times6=24\\4a\times6a=24a\)

\(\dfrac{24a}{8a}\)

\(=\fbox{3a}\)

The oil spill is increasing by approximately 0.58% per hour.

An oil spill is spreading such that its area is given by the exponential function A(t) = 250(1.15)^t, where A is the area in square feet and t is the time that has elapsed in days. To find the percent increase per hour, first convert the time from days to hours by replacing t with (t/24), since there are 24 hours in a day.

A(t) = 250(1.15)^(t/24)

To determine the hourly percent increase, find the growth factor for one hour (t=1) and subtract 1 to get the percentage:

A(1) = 250(1.15)^(1/24) ≈ 250(1.0058)

The growth factor for one hour is approximately 1.0058. To find the percent increase, subtract 1 and multiply by 100:

(1.0058 - 1) × 100 ≈ 0.58%

The oil spill is increasing by approximately 0.58% per hour.

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you get to keep whatever 6-digit dollar amount you want as long as no one else chooses it is $809,417

you choose a random number, but don't want to make it start with 9 as everyone will be picking nine as the first digit. So instead go with the next best, 8. Then making the next digit 0 since people would be unlikely to have the second number as 0, trying to max out their money while also picking the lowest first number. Then have the rest of the digits be random to maximize the odds of no one happening to select it.

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Explanation:

If we plug in x = -3, then we get

y = (1/3)*x + 2

y = (1/3)*(-3) + 2

y = -1 + 2

y = 1

So the point (-3, 1) is on the line instead of (-3, 2). This rules out choice A.

Now let's try x = 3

y = (1/3)*x + 2

y = (1/3)*(3) + 2

y = 1 + 2

y = 3

We can see that (3,3) is on the line. That directs us to choice C as the final answer.

For the sake of completeness, let's try x = 6 to see what we get

y = (1/3)*x + 2

y = (1/3)*(6) + 2

y = 2 + 2

y = 4

So the point (6,4) is on the line instead of (6,8), which allows us to rule out choice D.

Answer:

√89 / 8

Step-by-step explanation:

r = hypotenuse = √(5² + 8²) = √89

csc θ = 1/sin θ

sin θ = opp/hyp = height / √89 = 8/ √89

csc θ = hyp / opp = 1 / (8/ √89) = √89 / 8

Answer:

y=67.7 Degrees

Step-by-step explanation:

You're given the opposite and adjacent sides to angle Y, so we use Tan to find the angle:

Tan(y)= 100/41

We then inverse tan to isolate y

y=tan^-1 100/41

y=67.7 Degrees

Note: Use a calculate to find the final answer

Given:

A fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i .

To find:

The fourth-degree polynomial  function in factored form.

Solution:

The factor for of nth degree polynomial is:

\(P(x)=(x-a_1)(x-a_2)...(x-a_n)\)

Where, \(a_1,a_2,...,a_n\) are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i. So, the factor form of given polynomial is:

\(P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))\)

\(P(x)=(x-4)(x+4)(x-4i)(x+4i)\)

\(P(x)=(x-4)(x+4)(x^2-(4i)^2)\)           \([\because a^2-b^2=(a-b)(a+b)]\)

On further simplification, we get

\(P(x)=(x-4)(x+4)(x^2-4^2i^2)\)

\(P(x)=(x-4)(x+4)(x^2+16)\)                \([\because i^2=-1]\)

Therefore, the required fourth degree polynomial is \(P(x)=(x-4)(x+4)(x^2+16)\).

The fourth degree polynomial is given by f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Polynomials can be classified based on degree as linear, quadratic, cubic, fourth degree.

Let f(x) represent the function with zeros 4​, -4, 4i ​, and -4i. Hence:

x = 4; x = -4; x = 4i; x = -4i

x - 4 = 0; x + 4 = 0; x - 4i = 0; x + 4i = 0

f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)

The fourth degree polynomial is given by f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)

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The probability of randomly selecting a number between 5 and 11 from the numbers 1-15 would be 1/3 or approximately 0.46.

The possible outcomes are calculated first. There are 15 possible outcomes in this situation because the numbers 1 through 15 can be chosen.

Count the number of favourable outcomes. There are seven favourable outcomes in this situation because the numbers 5 to 11 are selectable.

By dividing the number of favourable outcomes by the total number of possible possibilities, you may calculate the probability.

The probability in this situation is 7/15, or roughly 0.333 (1/3).Therefore, 7/15, or 0.333, represents the probability of choosing at random  number between 5 and 11 from the range of 1 to 15.

Number of events = 7

Total events = 15

Probability =  7/15

Probability = 0.46

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To find the circumference we have to calculate

where r=6

therefore we have that the answer is

Answer:

14.08

Step-by-step explanation:

Answer:

> or greater than Im pretty sure

Step-by-step explanation:

Answer:

first convert mixed fraction to improper fraction then solve by taking LCM

hope the above process helps

Answer:

5  7/12

Step-by-step explanation:

1/6 can be converted to 2/12
1 3/4 can be converted to 1 9/12
Add them together, you'll get 1  11/12
7  1/2 is equal to 7  6/12
7  6/12 - 1  11/12 = 5  7/12

              5 /12 is your answer

The required algebraic expression is 14/2

What is an algebraic expression?

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.). Terms combine to form expressions.

With the help of integer constants, variables, and the addition, subtraction, multiplication, and division operations in basic arithmetic, an algebraic expression is created. The algebraic statement 5x + 6 is an illustration. In this case, 5 and 6 are fixed values, while x is a variable. Additionally, the variables can be either simple variables with alphabets like x, y, or z or complex variables with names like x², x³, etc. Polynomials are another name for algebraic expressions. Variables (also known as indeterminates), coefficients, and non-negative integer exponents of variables make up a polynomial expression.

Half of 14

=>  (1/2) of 14

=>  14/2

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Answer:

see below

Step-by-step explanation:

79 is one standard dev above the mean

 approx  84 % would be less

        ( which seems a bit weird when discussing golf scores)

Between 1 SD below and 1 SD above encompasses just about  68%

   .68 * 125 = ~ 85 scores

The mean and variance of the cumulative intensity of all the earthquakes up to time t are both equal to tλ.

The cumulative intensity of all the earthquakes up to time t is the sum of the intensities of all the earthquakes that have occurred up to time t. The intensity of each earthquake is a random variable with distribution . The mean and variance of the intensity of each earthquake are both equal to λ. The mean of the sum of a set of random variables is equal to the sum of the means of the random variables. The variance of the sum of a set of random variables is equal to the sum of the variances of the random variables plus the sum of the covariances between the random variables. In this case, the sum of the random variables is the cumulative intensity of all the earthquakes up to time t. The mean of each random variable is λ, and the covariance between any two random variables is zero. Therefore, the mean of the cumulative intensity of all the earthquakes up to time t is tλ, and the variance of the cumulative intensity of all the earthquakes up to time t is also tλ.

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The vector field F is a conservative vector field with potential function φ(x, y) = 0. Therefore, the line integral along any closed curve C is always zero.

To evaluate the line integral ∮C F · dr, where C is the ellipse given by x = a cos(t) and y = b sin(t) for 0 ≤ t ≤ 27, and F(x, y) = <0, 0>, we can parameterize the curve C.

Using the given parameterization of the ellipse, we have x = a cos(t) and y = b sin(t). Taking the derivatives, dx/dt = -a sin(t) and dy/dt = b cos(t).

Now, we can express the line integral as ∮C F · dr = ∫F(x, y) · dr = ∫<0, 0> · <dx, dy> over the curve C.

Since F(x, y) = <0, 0>, the line integral simplifies to ∫<0, 0> · <dx, dy> = 0.

Thus, the line integral ∮C F · dr is equal to 0 for any curve C parameterized by x = a cos(t) and y = b sin(t) over the interval 0 ≤ t ≤ 27, where F(x, y) = <0, 0>.

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(a) With 10 rectangles using left endpoints, 5 rectangles are contributing negative area values to the estimated net area. This means that the function is below the x-axis in those intervals.

The remaining 5 rectangles are contributing positive area values, as the function is above the x-axis in those intervals.

When using midpoints, the number of positive and negative rectangles may not be the same. It depends on the behavior of the function within each subinterval. The use of midpoints can result in a different distribution of positive and negative rectangles compared to using left endpoints.

(b) The error when using midpoints with 10 subintervals can be determined by calculating the difference between the estimated net area using midpoints and the actual net area.

To calculate the error, we need to evaluate the definite integral of the function over the given interval and subtract the estimated net area using midpoints.

Error = Actual Net Area - Estimated Net Area using Midpoints

Since the exact values are not provided, the specific error value cannot be determined without further information or calculations.

Using left endpoints with 10 rectangles, 5 rectangles contribute negative area values and 5 contribute positive area values. When using midpoints, the distribution of positive and negative rectangles may differ. The error when using midpoints can be calculated by subtracting the estimated net area using midpoints from the actual net area, but the exact error value cannot be determined without further information or calculations.

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The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is 0.39.

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, can be calculated using conditional probability.

P(A|B) = P(A and B) / P(B)

P(A and B) = P(T or P on second draw and F on first draw) = P(T on second draw and F on first draw) + P(P on second draw and F on first draw)

= (3/9) x (4/10) + (2/9) x (4/10) = 14/90

To find P(B), we know that it is 0.4.

Therefore, the conditional probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is:

P(A|B) = P(A and B) / P(B) = (14/90) / 0.4 ≈ 0.39

So the probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is approximately 0.39.

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Answer: 5

Step-by-step explanation:

5*5 is equal to 25

Answer:

5

Step-by-step explanation: The square root of 25 is 5 because 5x5=25 or \(5^{2}\)=25

Answer:

−2.

Step-by-step explanation:

y = 4 − 2x? b is the y -intercept. Here, 4 is b and −2 is m. Therefore, the slope is −2.

The data plotted on the scatter plot reveals there is a positive linear association between the number of hours worked and tips earned. (Option C).

Recall:

The scatter plot given shows a trend line of the data. It also shows that as time worked increases, tips earned also increases. This shows a positive linear association between tips earned and time worked. (Option C).

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Answer: 48

Step-by-step explanation:

Answer:

The factor rainbow of 48 are 10 digits in total:1,2,3,4,6,8,12,16,24

Prime numbers are numbers which have only two factors:one and itself.

The answer is:2 and 3[pair]

Answer:

The answer is:2 and 3[pair]

Step-by-step explanation:

The result of the given program AX-0002 can be summarized as follows:
- AX = 0009
- BX = 0006

Now, let's break down the steps of the program to understand how the result is obtained:

1. MOV BX, AX: This instruction moves the value of AX into BX. Since AX has the initial value of 0002, BX now becomes 0002.

2. ASHL BX: This instruction performs an arithmetic shift left operation on the value in BX. Shifting a binary number left by one position is equivalent to multiplying it by 2. So, after the shift, BX becomes 0004.

3. ADD AX, BX: This instruction adds the values of AX and BX together. Since AX is initially 0002 and BX is now 0004, the result is AX = 0006.

4. ASHL BX: Similar to the previous step, this instruction performs an arithmetic shift left on BX. After the shift, BX becomes 0008.

5. INC BX: This instruction increments the value of BX by 1. So, BX becomes 0009.

Therefore, at this point, the result is AX = 0006 and BX = 0009.

It is important to note that the given program does not contain any instructions that assign values to OAX or change the value of OAX and BX directly. Therefore, the final results for OAX and BX remain unchanged, which are OAX = 0006 and BX = 0009, respectively.

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A scientific calculator is typically used for pre-calculus.

This type of calculator is designed to handle more advanced mathematical functions, such as trigonometry, logarithms, and exponents, which are commonly used in pre-calculus.

It is important to have a scientific calculator for pre-calculus because it allows you to easily solve more complex equations and perform calculations quickly and accurately.

Additionally, many scientific calculators have graphing capabilities, which can be useful for visualizing equations and understanding how they behave. Overall, a scientific calculator is an essential tool for pre-calculus and can help you succeed in the course.

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Answer:

I believe the answer you selected ( "D. > AID" ) is correct.

Answer:

2

Step-by-step explanation:

9 ÷ 3 - 2 × 2

3 - 2 × 2

1 × 2

2

Answer:

13/12

Step-by-step explanation:

Answer:

Soccer: 30,000 fans

Golf: 60,000 fans

Tennis: 135,000

Basketball: 225,000

Football: 330,000

Hockey: 720,000

Step-by-step explanation:

I think making the circle graph is self explanatory, sorry, I can't show it.