Veronica rolls a number cube and spins a spinner that is divided into four equal pieces. The number cube contains the numbers 1-6 and each section of the spinner has a different shape: triangle, star, circle and square. Complete the table to determine the probability that Veronica will roll a 4 or 6 and the spinner will land on a square or circle. Express your answer as a fraction in simplest form.

The probability of winning $1 in the Mongo Milions lottery game is approximately 0.000365.

To determine the probability of winning $1, we need to consider the total number of possible outcomes and the number of favorable outcomes.

For the 5 white numbers, there are a total of 60 numbers in the pool. Therefore, the number of ways to select 5 numbers out of 60 is given by the combination formula, denoted as "C," which is calculated as C(60, 5) = 60! / (5! × (60 - 5)!).

For the Mongo number, there are 20 numbers in the pool, so there is only one way to select it.

To win $1, we need to match one of the winning combinations. There are different possible winning combinations, and each combination has a certain number of ways it can occur. Let's denote the number of ways a specific winning combination can occur as "W."

The probability of winning $1 is then calculated as P = (W / C(60, 5)) × (1 / 20).

Since we want the probability rounded to 6 decimal places, we can substitute the values into the formula and round the result to the desired precision. The resulting probability is approximately 0.000365.

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Answer:

the car is traveling 60 miles per hour

Step-by-step explanation:

Since it is going 30 miles in half an hour, we just need to double both values to find the speed for an hour

30*2=60

1/2*2=1

60 miles per hour

hope this helps pls give crown <3

Answer:

9.125 9, 9.59

Step-by-step explanation:

Answer: the answer you chose was correct x+y <1000

                                                                       x=<75

Step-by-step explanation:

first they are selling 3 dollar and 4 doallar items to get above 1000 dollars

then they sayed at least 75 bags of hot chips so it has to be 75 or higher

Answer:

5.83

Step-by-step explanation:

Find the scale:

30 miles / 5miles = 6

Multiply km by the scale:

8 km x 6 = 48 km

The answer is 48 km

Answer: 48km

Step-by-step explanations:. It's just simple cross multiplication.

5miles----->8km

30miles---->?km

Answer is ( 30×8)÷5= 48km

Answer:

Step-by-step explanation:

You will add 200.00+200.00 that will give us 400.00+60.00= 460.00

Answer:

x^2=-10

Step-by-step explanation:

x squared equals to negative 10

The solution for the given inequality will be x≤ -3 or x≥ 5. Thus, the correct option is B.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

For the given inequality the solution can be found as,

         3|x-1| ≥ 12

         x-1 ≥ 4

         x ≥ 5

         3|x-1| ≥ 12

         - x + 1 ≥ 4

         -x ≥ 3

         x ≤ -3

Hence, the solution for the given inequality will be x≤ -3 or x≥ 5. Thus, the correct option is B.

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The turning point of the parabola is (64, -43)

Turning point is that point on a parabolic curve in which the gradient of the curve changes value.

It is also the point on the curve in which the curve starts rising or falling.

Analysis:

\(27(x-64)^{2}\) + 43

27(x-64)(x-64) + 43

27(\(x^{2}\) -64x -64x +4096) + 43

27\(x^{2}\) -3456x +110592 +43

27\(x^{2}\) -3456x +110635

at turning point dy/dx = 0

dy/dx = 54x - 3456

54x - 3456 = 0

54x = 3456

x = 3456/54 = 64

To find the value of y at x = 64

27\((64)^{2}\) -3456(64) +110635

110592 - 221184 +110635 = -43

Therefore the turning point of the parabola is (64, -43)

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Answer:

Step-by-step explanation:

V(x) = x3 + 2x2 - 11x - 12

To factor, you want 3 numbers that multiply to give -12 (the constant term) and add to give 2 (coefficient of the x2 term).  The answer is 4, -3, and 1: (4)(-3)(1) = -12, 4 + (-3) + 1 = 2.  So the volume polynomial factors to:

V(x) = (x+4)(x-3)(x+1)

Now the volume of a rectangular box is:

V = Length*Width*Height = (x+4)(x-3)(x+1)

So let's pick height = (x+1) = 4.5  (you could pick any one of the three factors).

x+1 = 4.5

x = 3.5

Length = (x+4) = 3.5+4 = 7.5

Width = (x-3) = 3.5 - 3 = 0.5

The box's dimensions are 7.5 m by 0.5 m by 4.5 m

Translating the new coordinate up by 2 units and 5 units to the left will given a final coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)

This is a technique used to change the position or size of an object on the xy plane.

Given the coordinate points X(2, 4), Y(5,-3) and Z(-7, 1)'

If the coordinate points is rotated 90 degrees clockwise, then the resulting coordinate will be at X(4, -2), Y(-3,-5) and Z(1, 7)

If the resulting coordinate is dilated by by a scaling factor of 2, then the new coordinate points wil be at X''(8, 4), Y''(-6, -10) and (2, -14)

If the resulting coordinate is reflected over the x-axis, then the new coordinate points wil be at X'''(8, -4), Y''(-6, 10) and (2, 14)

Finally, translating the new coordinate up by 2 units and 5 units to the left will given a resulting coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)

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The speed of the vehicle is 50 km/h.

The distance moved by the vehicle is 750 km. The speed of the vehicle in km/h is 50 km/h. The given odometer reading at 6:00 pm is 60,000 km. After 30 minutes, the reading has changed to 60,750 km. Thus, the distance moved by the vehicle is equal to the difference between these readings: 60,750 km - 60,000 km = 750 km. To calculate the speed of the vehicle, we need to divide the distance traveled by the time taken. The time taken is equal to 30 minutes, which is 0.5 hours. Thus, the speed of the vehicle in km/h is:750 km / 0.5 h = 1500 km/hour = 50 km/h.

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Answer:

The difference is 2:1.5

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

150/100*20=$30

150-30=120

120/150=0.8=80%

according to question the vector r-s is (19, 4).

To find the vector r-s, we need to subtract the corresponding components of the two vectors. That is:

r - s = (7, 1) - (-12, -3)

= (7 + 12, 1 + 3)

= (19, 4)

what is vector?

In mathematics, a vector is a mathematical object that has both magnitude and direction. Vectors are often represented as arrows in space, with the length of the arrow representing the magnitude of the vector and the direction of the arrow indicating the direction of the vector. Vectors can be added and subtracted to produce new vectors, and can be multiplied by scalars (real numbers) to produce scaled versions of the vector. Vectors have applications in a wide range of fields, including physics, engineering, computer science, and economics.

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The constant of proportionality is 20.

What is constant of proportionality?

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Given,

the recipe uses 5 cups of strawberries per 1/4 cup of sugar.

And let constant of proportionality is k.

that is

5 α 1/4

5 = k1/4

k = 5(4)

k = 20

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The number that could not be used to represent the probability of an event is 64/25 because probability values cannot be greater than 1. The correct option is D.

Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favourable outcomes to all outcomes.

Probability = Number of favourable outcomes / Number of samples

The numbers that could not be used to represent the probability of an event are:

A. 0.0002, because probability values can be expressed as decimals with more than two decimal places, so this number could be a valid probability value.

B. 33.3%, this is because probability values must be expressed as decimals or fractions, and must be between 0 and 1 inclusive. Therefore, this number can be used to represent a probability value.

C. 0, because probability values must be greater than 0. A probability of 0 means that the event is impossible and cannot occur.

D. 64/25, because probability values must be between 0 and 1 inclusive. Therefore, this fraction cannot be used to represent a probability value.

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Answer:

\(9(b + 5) - 4b = \\ 9b + 45 - 4b = \\ 5b + 45 = b + 9\)

\( \looparrowright \sf9(b + 5) - 4b\)

\( \\ \\ \)

\( \looparrowright \sf9b + 45 = - 4b\)

\( \\ \\ \)

\( \looparrowright \sf9b + 4b + 45 = 0\)

\( \\ \\ \)

\( \looparrowright \sf5b + 45 = 0\)

\( \\ \\ \)

\( \looparrowright \sf5b = - 45\)

\( \\ \\ \)

\( \looparrowright \sf \: b = - 45 \div 5\)

\( \\ \\ \)

\( \looparrowright \sf \: b = -9\)

Answer:

1.=7

2. =8

Step-by-step explanation:hope this help have a good day

|4−10|+1

=|−6|+1

=6+1

=7

|2−4|+6

=|−2|+6

=2+6

=8

Answer:

They are equal.

Step-by-step explanation:

Step 1: Evaluate 16/28

16/28 = 0.571429...

Step 2: Evaluate 28/49

28/49 = 0.571429...

Step 3: Compare

0.571429... ? 0.571429...

0.571429... = 0.571429...

So 16/28 = 28/49

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

It will double in the year 2063

Step-by-step explanation:

Let the amount deposited be $x, when it doubles, the amount becomes $2x

we can use the compound interest formula to know when this will happen

The compound interest formula is as follows;

A = P(1+r/n)^nt

In this question,

A is the amount which is 2 times the principal and this is $2x

P is called the principal and it is the amount deposited which is $x

r is the interest rate which is 3.2% = 3.2/100 = 0.032

n is the number of times compounding takes place per year which is quarterly which equals to 4

t is the number of years which we want to calculate.

Substituting all these into the equation, we have;

2x = x(1+0.032/4)^4t

divide through by x

2 = (1+ 0.008)^4t

2 = (1.008)^4t

we use logarithm here

Take log of both sides

log 2 = log (1.008)^2t

log 2 = 2t log 1.008

2t = log 2/log 1.008

2t = 86.98

t = 86.98/2

t =43.49 which is 43 years approximately

Thus the year the money will double will be 2020 + 43 years = 2063

The equation \(4x^2u^n + (1-x^2)u = 0\) has two solutions. One solution is given by \(u_1 = x^{1/2}\left(1 + \frac{x^2}{16} + \frac{x^4}{1024} + \dots\right)\). The other solution is not provided in the given question.

To find the solutions, we can rewrite the equation as \(u^n = -\frac{1-x^2}{4x^2}u\). Taking the square root of both sides gives us \(u = \pm\left(-\frac{1-x^2}{4x^2}\right)^{1/n}\). Now, let's focus on finding the positive solution.

Expanding the expression inside the square root using the binomial series, we have:

\[\left(-\frac{1-x^2}{4x^2}\right)^{1/n} = -\frac{1}{4^{1/n}x^{2/n}}\left(1 + \frac{(1-x^2)}{4x^2}\right)^{1/n}\]

Since \(|x| < 1\) (as \(x\) is a fraction), we can use the binomial series expansion for \((1+y)^{1/n}\), where \(|y| < 1\):

\[(1+y)^{1/n} = 1 + \frac{1}{n}y + \frac{1-n}{2n^2}y^2 + \dots\]

Substituting \(y = \frac{1-x^2}{4x^2}\), we get:

\[\left(-\frac{1-x^2}{4x^2}\right)^{1/n} = -\frac{1}{4^{1/n}x^{2/n}}\left(1 + \frac{1}{n}\cdot\frac{1-x^2}{4x^2} + \frac{1-n}{2n^2}\cdot\left(\frac{1-x^2}{4x^2}\right)^2 + \dots\right)\]

Simplifying and rearranging terms, we find the positive solution as:

\[u_1 = x^{1/2}\left(1 + \frac{x^2}{16} + \frac{x^4}{1024} + \dots\right)\]

The second solution is not provided in the given question, but it can be obtained by considering the negative sign in front of the square root.

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Answer:

3

Step-by-step explanation:

Answer:

1/2x6=3

Step-by-step explanation:

i hope this helps :)

Answer:

Step-by-step explanation:

Answer:

How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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Answer:

hope this is it

Step-by-step explanation:

i finished the assignment.

Answer:

Step-by-step explanation:

Answer:

the answer is $57.67

Step-by-step explanation:

the way I found that solution $1.59 was 3% which winds up being 6% of the normal cost of the game which will be $57.77