One option in a roulette game is to bet 11on red.​ (There are 18 red​ compartments, 18 black​ compartments, and two compartments that are neither red nor​ black.) If the ball lands on​ red, you get to keep the 11 you paid to play the game and you are awarded 11. If the ball lands​ elsewhere, you are awarded nothing and the 11 that you bet is collected. Complete parts​ (a) through​ (b) below.

23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

Answer:

Step-by-step explanation:

45 chairs in 3 rows

1 row = 45 /3 = 15 chairs in each row

Answer:

15

Step-by-step explanation:

15 x 3 is 45.

-2y=10-5x

-2y/-2=(10-5x)/-2

Y=5/2x-2

All possible lengths for the scrap (x) are given by the compound inequality -15 ≤ x ≤ -1 which means that the scrap could be as short as 1 inch and as long as 15 inches.

Solution: Let us represent the length of the extra (scrap) that is removed from the 48-inch pipe by the variable "x".

Since the plumber needs a pipe that is within of an inch of 32 inches, therefore the extra (scrap) that is removed from the 48-inch pipe should have a length such that:(32-1) ≤ (48 - x) ≤ (32+1)47 ≤ (48 - x) ≤ 33- x ≤ -15 (Subtracting 48 from all the sides)-15 ≤ x ≤ -1 (Multiplying all the sides by -1 and reversing the inequality signs)

Thus, all possible lengths for the scrap (x) are given by the compound inequality -15 ≤ x ≤ -1 which means that the scrap could be as short as 1 inch and as long as 15 inches.

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Answer:

<

Step-by-step explanation:

1) Substitute 5 into the question

2) Work out the sides

3) Put it into an inequality

5 < 7

Hope this helps, have a great day!

The domain of the function consists of all real numbers greater than 0.

A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

Next, we would determine the function which models the amount of gas as follows:

Function, f(x) = rate × x

Function, f(x) = 2.25 × x

Function, f(x) = 2.25x

Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:

Domain = [0, ∞]

In conclusion, the domain is equal to all real numbers that are greater than zero (0).

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Answer:

m = 5

y-intercept = (0, -1)

Step-by-step explanation:

y = mx + b

y = 5x - 1

m = 5

y-intercept = b = (0, -1)

Point 1: (0, -1)

Point 2: (1, 4)

Point 3: (-1, -6)

I hope this helps!

Answer:

The price for 4 people is 52 dollars.

4 × (5.75 + 7.25) = 52

The total cost including drink and popcorn is $52 according to a given condition.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Cost of movie ticket =  $7.25/person

Cost of popcorn and drink =  $5.75/person

Total cost per person = 5.75 + 7.25 = $13

Now,

Number of people = 4

So,

4(5.75 + 7.25) = 4(13) = $52

Hence "The total cost including drink and popcorn is $52 according to a given condition".

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Answer:

you would be correct in the second option, unknown

Step-by-step explanation:

anonymous is another word for unknown, i learned this in gamer talk ;P

Answer: Unknown.

Step-by-step explanation: When any author is anonymous whether they write myths, legends, short stories, etc, it means that their name is hidden or unknown.  If you looked it up online, it would tell you this, "(of a person) not identified by name; of unknown name."  Therefore, anonymous means an author not identified who is unknown.

Let me know if this is right! :)

Answer:

In 2022, the town's population is 2220.

Step-by-step explanation:

It currently the year 2022. Hence, 22 years have passed since 2000.

2022 − 2000 = 22

To solve for the town's population today, first multiply the years passed since 2000 by the percent decrease each year.

\(22 \, \textrm{years} \times \dfrac{3.2 \, \%}{\textrm{year}} = 70.4 \, \%\)

Then, subtract that percent of the population in 2000 from the population in 2000.

\(7500-(70.4 \,\% \cdot 7500)\)

\(= 7500 - 5280\)

\(=2220\)

The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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The expression that gives the surface area of a sphere with radius as r would be =4πr². That is option A.

A sphere is defined as the shape whose surface is made up of all the points that are an equal distance from the point that is the shape's center.

The formula that can be used to calculate the surface area of a sphere is given as;

S.A = 4πr²

Since the radius given is in terms of r, therefore, the expression that shows the surface area of a sphere would be = 4πr².

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The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.

To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.

Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.

Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.

Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).

Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).

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Given:

The triangles  ΔKRO and ΔKCO are right triangles with common leg and congruent hypotenuse. It is sufficient for HL (Hypotenuse - leg) congruence. RK and KC are hypotenuse and OK is common leg.

     Statement                                       Reason                

Given:

To prove FG ≅ AG, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, one side is common to both triangles, another pair of congruent angles is formed by the angle bisector. The common side is adjacent to one of the congruent angles but not included.

     Statement                                       Reason                

The electric company would need a wire that is approximately 4.58 meters long to reach the top of the 5-meter electric pole from a point on the ground 2 meters from the base of the pole.

What is Meter?

The meter was originally defined as one ten-millionth of the distance from the equator to the North Pole along a meridian through Paris, but this definition was later replaced by the current definition based on the speed of light.

To determine the length of the wire required to reach the top of a 5-meter electric pole from a point on the ground 2 meters from the base of the pole, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the pole, the ground, and the wire form a right triangle, where the pole is the hypotenuse, the distance from the base of the pole to the point on the ground is one of the legs, and the length of the wire needed to reach the top of the pole is the other leg.

Therefore, we can use the Pythagorean theorem to solve for the length of the wire as follows:

wire length = sqrt(\(pole height^{2}\) - \(distance from base^{2}\))

= sqrt(\(5^{2}\) - \(2^{2}\))

= sqrt(25 - 4)

= sqrt(21)

≈ 4.58 meters

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Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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Answer:

The answer is D-80

Step-by-step explanation:

Got it correct on the quiz

Answer:

3.4-1.6=1.5

Step-by-step explanation:

Answer-

3.4-1.6=1.5

Hope this helps :)

Answer:

Y ≥(greater than or equal to) R or Y ≤(less than or equal to) R

The phrase at least means about equal to, represented by that sign. In this case, equal to, because x + y = 16 total since she spent 16 hours cooking and cleaning. That would mean they both have to equal 8 to get 16. You can also do 10 + 6 to get 16. There are a few more solutions after this you can try, which I will not list at the moment.

__________________________________________________________

Ask in the comments box.

According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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The required statistical parameters has been computed as follows:

Range = 15.

Standard deviation, SD = 4.4441.

Variance = 19.75.

Mathematically, the range of a data set can be calculated by using this formula;

Range = Highest number - Lowest number

Range = 36 - 21

Range = 15.

Mathematically, the mean for these data sets would be calculated by using this formula:

Mean = [F(x)]/n

F(x) = 22 + 29 + 21 + 24 + 27 + 28 + 25 + 36

F(x) = 212.

Mean = 212/8

Mean = 26.5

Next, we would calculate the standard deviation by using this formula:

SD = √(1/n × ∑(xi - u₁)²)

SD = √(1/5 × ∑(22 - 26.5)² + 1/5 × ∑(29 - 26.5)² + 1/5 × ∑(21 - 26.5)² + 1/5 × ∑(24 - 26.5)² + 1/5 × ∑(27 - 26.5)² + 1/5 × ∑(28 - 26.5)² + 1/5 × ∑(25 - 26.5)² + + 1/5 × ∑(36 - 26.5)²)

Standard deviation, SD = 4.4441.

In Statistics, the standard deviation of a data sample is the square root of the variance and this is given by this mathematical expression:

Variance = δ²

Variance = 4.4441²

Variance = 19.75.

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You can add 4 more yellow marbles to make the ratio of yellow to blue marbles 2 to 1.

A ratio of 2 to 1 means that one of the objects have twice the amount of the other. Since blue originally had 6 marbles, simply multiply that by 2 and you should get how many yellow marbles you need in total and since you already have 8 yellow marbles, all you need is to add four.

The final ration will be

yellow : blue

12 : 6

2 : 1

Using Pythagοras theοrem, The length οf the bridge needed tο cοnnect Main Street and Secοnd Street is apprοximately 4.53 miles.

A basic geοmetry theοrem that deals with the sides οf a right triangle is knοwn as the Pythagοrean theοrem. Accοrding tο the theοrem, the square οf the length οf a right triangle's hypοtenuse—its lοngest side—is equal tο the sum οf the squares οf the lengths οf the triangle's οther twο sides, which are referred tο as its legs.

The fοllοwing is hοw the theοrem is written in mathematical nοtatiοn:

\(c^2 = a^2 + b^2\)

Where a and b are the lengths οf the οther twο sides (legs) οf the right triangle and c is the length οf the hypοtenuse. The Pythagοrean equatiοn is a cοmmοn fοrm fοr expressing this relatiοnship.

Pythagοras, an ancient Greek mathematician, is credited with discοvering the Pythagοrean theοrem, which bears his name. It has several uses in physics, engineering, mathematics, and οther disciplines.

Tο determine the length οf the bridge needed tο cοnnect Main Street and Secοnd Street, we need tο find the distance between the twο streets.

We can dο this by using the Pythagοrean theοrem, which states that in a right triangle, the square οf the length οf the hypοtenuse (the lοngest side) is equal tο the sum οf the squares οf the lengths οf the οther twο sides.

In this case, we can think οf the bridge as the hypοtenuse οf a right triangle, with Main Street and Secοnd Street fοrming the οther twο sides. We can then use the Pythagοrean theοrem tο find the length οf the bridge as fοllοws:

Length οf the bridge = square rοot of (\(3.4^2 + 3^2\))

= square roοt of (11.56 + 9)

= square roοt of 20.56

= 4.53 miles (rounded to twο decimal places)

Therefοre, the length of the bridge needed to cοnnect Main Street and Second Street is apprοximately 4.53 miles.

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Answer:

Step-by-step explanation:

Answer:

0.89

Step-by-step explanation:

First, let’s find out what one tomato costs. To do this, we need to find the unit rate.

To find the unit rate, divide the cost by the number of tomatoes.

cost/number of tomatoes

It costs $3.55 for 24 tomatoes.

cost=3.55

number of tomatoes=24

Substitute these values in.

3.55/24

0.147916666666667

Each tomato costs $0.147916666666667

Now, we have to find out what 6 tomatoes cost.

Multiply the number of tomatoes by the cost of one tomato

number of tomatoes * cost of one

number of tomatoes=6

cost of one= 0.147916666666667

Substitute these values in.

6* 0.147916666666667

0.8875

Round to the nearest cent or hundredth.

The 7 in the thousandth place tells us to round the 8 in the hundredth place up to a 9.

0.89

6 tomatoes will cost about 0.89.

the answer is 3,000

4% × 25 = 100%

$120 × 25 = $3000

Answer: To find out how much faster Luisa ran than Rafael, we need to subtract Rafael's time from Luisa's time.

Luisa's time: 8.34 minutes

Rafael's time: 9.27 minutes

So, Luisa's time - Rafael's time = 8.34 minutes - 9.27 minutes = -0.93 minutes

This means Luisa ran a mile 0.93 minutes faster than Rafael.

Step-by-step explanation:

Answer:

6cm

Step-by-step explanation:

Here, base=10cm

Length=7cm

A=70 cm2

(Do same to other sides rect.)

A=42 cm2

A= 56 cm2

A of triangle=24*2(2 triangle)( UseHerons formula)

=48 cm2

adding all A=216 cm2

Area of cube=6l2

216=6l2

simplify

l=6cm