The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) you watch a roulette wheel spin 5 times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot the next spin? b) you watch a roulette wheel spin 330 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?

The functions g(x) = x² - 4x + 3 and f(x) = x² - 4x are:

The functions have the same range.

The functions have the same domain.

The functions have the same x-intercepts.

Let's analyze the given functions g(x) = x² - 4x + 3 and f(x) = x² - 4x and determine which statements about them are true.

Here are the options:

The functions have the same graph.

The functions have the same range.

The functions have the same domain.

The functions have the same vertex.

The functions have the same y-intercept.

The functions have the same x-intercepts.

The functions have the same graph:

This statement is false. While both functions are quadratic functions, their additional terms make them different. g(x) has an additional constant term (+3) compared to f(x).

Their graphs will be different, with g(x) being shifted upward by 3 units compared to f(x).

The functions have the same range:

This statement is true.

Both functions are quadratic functions, and their range will be the same. The range of a quadratic function is either all real numbers (if the parabola opens upward) or the set of real numbers greater than or equal to (or less than or equal to) the vertex of the parabola.

The functions have the same domain:

This statement is true.

The domain of both functions, unless restricted by any other factors, is all real numbers.

Quadratic functions have a domain of (-∞, ∞).

The functions have the same vertex:

This statement is false.

The vertex of a quadratic function is determined by the values of "a," "b," and "c" in the general form of the quadratic function (ax^2 + bx + c).

Since g(x) has an additional constant term, its vertex will be different from the vertex of f(x).

The functions have the same y-intercept:

This statement is false.

The y-intercept of a function is the value of y when x = 0.

For f(x), when x = 0, we have f(0) = (0)² - 4(0) = 0.

For g(x), when x = 0, we have g(0) = (0)² - 4(0) + 3

= 3.

Their y-intercepts are different.

The functions have the same x-intercepts:

This statement is true.

To find the x-intercepts of both functions, we set y (or f(x) and g(x)) equal to zero and solve for x.

The quadratic equation x² - 4x + 3 = 0 can be factored as (x - 1)(x - 3) = 0, giving x = 1 and x = 3 as the x-intercepts.

Both functions have the same x-intercepts.

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a) The number of packages of sunflower seeds that Steve should buy to cover his garden, based on its area, is 228.

b) If Steve buys exactly 228 packages of sunflower seeds, they will be enough to cover his garden without having too many or too few seeds.

The area refers to the space occupied by a two-dimensional object.

The area is the product of the length and width and is usually stated in squared units.

The length of Steve's garden = 19 feet

The width of Steve's garden = 12 feet

The area of the garden = 228 ft² (19 x 12)

The area that one package of sunflower seeds can cover = 1 square foot (1 x 1)

Therefore, the number of packages to buy = 228 (228 ft² ÷ 1 ft²).

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Let Steve's garden be 19 feet long and its width 12 feet.

The sets U and A are U = {0, 1, 2, 3.....,9} and A = {2, 4, 6, 8}

The sets are given as:

U = The set of one-digit numbers

A = {x: x is an even natural number less than or equal to 9}

One-digit numbers are numbers 0 - 9.

So, we have

U = {0, 1, 2, 3.....,9}

Natural numbers are numbers from 1.

Even natural numbers can be divided by 2 without remainder'

So, we have

A = {2, 4, 6, 8}

Hence, the sets U and A are U = {0, 1, 2, 3.....,9} and A = {2, 4, 6, 8}

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Answer:

Step-by-step explanation:

Answer:

4(pie)m^2

Step-by-step explanation:

area of a circle is r^2(pie)

so if the area of the circle is 4(pie) set that equal to r^2(pie)

the pies' cancell

and you are left with 4=r^2

r=2

now the formula for the circumference is

2r(pie)

insert 2 for r

2(2)(pie)

4(pie)m^2 is the circumference

Hope that helps :)

"F" represents the value of fresh fruits expoerted in year t.

"t" represents the year.

The relationship described shows the price of the fresh fruit with respect to the year, so "F" is the dependent variable and "t" is the independent variable. You can express this relationship as F(t)

a) F(1995) = 1973

The value inside the brackets is the year, so t=1995

1973 is the price of the fresh fruit exported in the said year.

So, the value of the fresh fruit exported in the year 1995 was $1973 million.

b) F= 1971 when t=1996

The year corresponds to the value of t, in this case is the year 1996.

The cost of the fresh fruit exported corresponds tothe value of F, in this case the price vas $1971 million.

So, the value of the fresh fruit exported in the year 1996 was $1971 million.

c) F(2000)= 2077

This notation can be read in the same way as the expression in intem a.

The value inside the brackets corresponds to the value of t, i.e. is the year.

2077 corresponds to the value of the fruit on the given year.

So, the value of the fresh fruit exported in the year 2000 was $ 2077 milion.

Answer:

the answer to the question is 0.11

Answer:

Slope: -7/3 | y-intercept: (0,-5)

Step-by-step explanation:

You can graph the line by using the slope and y-intercept, or two points.

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

Mode

Step-by-step explanation:

The mode is the measure of the central tendency in which the number is appeared many times

As in the given situation

The 100 would be appear 3 times

So this represent the mode

Hence, the mode that measures the central tendency is most close and describe the math test performance

Answer:.

Step-by-step explanation im not sure

Answer:

Step-by-step explanation:

47.)  sin20 = 6/b

b = 6(sin20) = 17.5

c = √6²+17.5² = 18.5

48.)  tan61 = y/18

y = 18(tan61) = 32.5

z = √18²+32.5² = 37.1

49.)  r = √25²+23² = 34

50).  d = √30²+7² = 30.8

51.)  sin71 = j/19

j = 19(sin71) = 18

k = √19²-18² = 6.2

52.)  y = √4²-1² = √7 = 2.6

53.)  sin49 = f/26

f = 26(sin49) = 19.6

h = √26²-19.6² = 17

54.)  t = √7²+4² = 8.1

Answer:

x= 12/5

Step-by-step explanation:

Distribute the fraction and solve for x.

Answer:

(1) 2(x - 1)(x + 5)

Step-by-step explanation:

As I said previously, finding the GCF (which is 2) and then factoring will get you Option 1.

Have a great day :D

A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.

A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.

1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."

2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.

3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).

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Answer:

It is linear. The constant rate of change is 3 cents per hour.

Step-by-step explanation:

15/5 = 3

24/8 = 3

36/12 = 3

72/24 = 3

Answer:

1/4 and 3/12 have the same value

Step-by-step explanation

\(\frac{1}{4} \) x \(\frac{3}{3} \) = \(\frac{3}{12} \)

Answer:

Step-by-step explanation:

What fraction has the same value 1/3 1/4 2/5 3/12

1/3=0.33

1/4=0.25

2/5=0.4

3/12=1/4

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

1

Step-by-step explanation:

The probability of an event occurring is the ratio of the possible outcome to the total outcome. In this case, 15 friends were chosen and the choices are either  strawberry or vanilla.

Since there are no other flavors, a friend picked at random will either pick strawberry or vanilla.

Therefore probability that this friend's favorite flavor is either strawberry or vanilla is 1.

Answer:

6/8

Step-by-step explanation:

Answer:

28 miles

Step-by-step explanation:

To find how many miles per gallon the car has you would just divide the miles by how how many gallons there are.

for your example it would be 336/12 = 28

Step-by-step explanation:

V=whl

lwh/3

4/3πr^3

πr^2h/3

Answer:

SHEEEEEEESH

Step-by-step explanation:

x = -3/2 or x = 5/3

Given:

To find:

the value of x

First we need to re-write the given equation into the form ax² + bx + c = 0:

a = coefficient of x², b = coefficient of b and c = constant

a = 6, b = -1, c = -15

Next we will find the factors of ac whose sum gives b

ac = a × c = 6 × -15 = -90

So we need to find factors of -90 whose sum will give -1

The factors are: -10 and 9

-10 × 9 = -90

-10 + 9 = -1

NB: when we factorise using factoring method, the numbers in both parenthesis will be the same

d/4-9=3

d/4=12

d=48

hope this helps! :D

Step-by-step explanation:

Let's write the equation with formula:- Where, x1 is -1 and y1 is 4 and m is 3Thus, The correct choice is option C.

Step-by-step explanation:

Equation of line formula=> y=mx+c

Let take point (-1,4) as (x, y) and slope m=3

4= 3(-1) +c

4= -3+c

4+3=c

7=c

Therefore by using equation of line formula we get

y= mx+c [m=3 , c=7]

y=3x+7

Answer: \(6\sqrt{6}\)

Step-by-step explanation:

\(\sqrt{12}=2\sqrt{3}\\\\\sqrt{18}=3\sqrt{2}\\\\\implies \sqrt{12} \sqrt{18}=2\sqrt{3}(3\sqrt{2}=\boxed{6\sqrt{6}}\)

The product of square root of 12 i.e.,√12 and square root of 18 i.e.,√18 is 6√6.

When two numbers has equal power then we can multiply the the numbers and the power remains same. The number in the power is called exponent and the number is called as base. In \(a^m\), \(m\) is the exponent and \(a\) is the base of the number \(a^m\).

Step-by-step explanation:

\(\sqrt{12}\)\(=\sqrt{4}\)×\(\sqrt{3}\)\(=2\)×\(\sqrt{3}\) , since the square root of 4 is 2

\(\sqrt{18}=\sqrt{2}\)×\(\sqrt{9}\)\(=\sqrt{2}\)×\(3\) , since the square root of 9 is 3

Now, \(\sqrt{12} \sqrt{18} = 2\)×\(3\)×\(\sqrt{2}\)×\(\sqrt{3}\) from above.

                       \(=6\sqrt{6}\)

Hence the product of √12 and √18  is √12√18=6√6

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a) The sample size of Charmaine's is 7 and (b) sam is 4 c) The mean of Charmaine'sample is 10.43 and sam's sample is 7.2

The term "Sample Mean" describes the mean value of a data sample taken from a sizable data population. It is a helpful instrument to estimate the population mean if the sample size is high and the statistical researchers randomly choose pieces from the population.

Charmaine's sample is

10,14,9,6,11,7,16

and Sam's sample is

8,6,5,10

The sum of Charmaine's sample is

10+14+9+6+11+7+16=73

mean = 73÷7= 10.43

The sum of Sam's sample is

8+6+5+10=29÷4 = 7.2

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Answer:

Approximately 2 days.

Step-by-step explanation:

The frog can only jump 3 lily pads each day.

24 hours = 1 day

\(\frac{24}{3}\) = 8 hours

Thus, it would take the frog 8 hours to cover a lily pad.

To get to the edge of the pond, the frog would jump through 6.5 lily pads (since he is at the middle of a lily pad at the center of the pond).

So that;

Total time required to get to the edge of the pond can be determined by;

6.5 × 8 hours = 52 hours

Number of days to get to the edge of the pond = \(\frac{52}{24}\)

                                                                    = 2.2

It would take him approximately 2 days to get to the edge of the pond.

The profit for 24 sales is $64.

The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.

The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.

To find the revenue for 24 sales, we substitute x = 24 into the revenue function:

Revenue = f(24)

= 5 × 24

= 120 dollars

Now, let's calculate the profit.

The profit is $20 less than 70% of the revenue.

We can express this mathematically as:

Profit = 0.7 × Revenue - $20

Substituting the value of Revenue we calculated earlier:

Profit = 0.7 × 120 - $20

= 84 - $20

= $64

We must first compute the revenue for 24 sales before calculating the profit based on the available data.

The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.

We add x = 24 to the revenue function to get the revenue for 24 sales:

f(24) = 5 x 24 = 120 dollars is the revenue.

Let's now determine the profit.

The profit is $20 below the revenue's 70%.

This may be written mathematically as:

Revenue - $20 x Profit = 0.7

Substituting the earlier determined figure of Revenue:

Earnings = 0.7 x 120 - $20 = 84 - $20 = $64

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Answer:it would be 20

Step-by-step explanation:

Answer: 20.

Step-by-step explanation: 60% of 50 is 30 (students). 20% of it would be 20 (students).