a roulette wheel has 18 reds, 18 blacks, and 2 greens. if the ball lands on red, you win and if it lands on another color, you lose. you play roulette 100 times in a row and count how many times you win. what is the expected value of the number of wins? express your answer as a decimal, fraction, or simple mathematical expression. your fraction does not need to be reduced. if your answer is in decimal, make sure to include at least 3 non-zero digits after the decimal point.

Answer:

Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.

Step-by-step explanation:

Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

How to obtain the measures of spread?

First, we consider the dot plot, which shows the number of times that each observation appears in the data set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.

The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.

For groups of 15 students, we have that:

The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.

The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.

The quartiles for Bus 14 are given as follows:

Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Step-by-step explanation:

Answer:

199.7

Step-by-step explanation:

as 7 is in the position of 0.7

Answer:

A) 199.7.

Step-by-step explanation:

0.7 or 7 tenths.

The first position after the decimal point is the tenths digit.

Answer:

19 this is your answer.....

Answer:

Step-by-step explanation:

About 20 feet

Answer:

4-4=0

16-6-10=0

17-3-4-10=0

1-2+1=0

Step-by-step explanation:

The lift force pushing up on the plane is approximately 2,625,992 N.

To determine the lift force pushing up on the plane, we'll use the given terms:

plane's speed (725 m/s),

altitude (4000 m),

air density (0.819 kg/m³),

air velocity above the wing (805 m/s),

air velocity below the wing (711 m/s),

and wing area (45.0 m²).

Calculate the pressure difference above and below the wing using Bernoulli's equation.

ΔP = (0.5 × air density × (velocity below wing² - velocity above wing²))
ΔP = (0.5 × 0.819 kg/m³ × (711 m/s² - 805 m/s²))

Calculate the lift force.
Lift Force = ΔP × Wing Area
Lift Force = (-58355.388) × 45.0

Lift Force = -2625992.46 N

Performing the calculations, we find that the lift force pushing up on the plane is approximately 2,625,992 N.

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Answer:

Step-by-step explanation:

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Answer:

Hey there!

We have sine xyz=6/15

sine xyz=0.4

arc sine 0.4=xyz

xyz=23.6

Hope this helps :)

Answer:

Rhombus and Trapezoid are well-defined mathematical objects while diamond shape is a layman's term. Each shape has four sides, and diamond shape refers to a rhombus. Rhombus has equal sides, with opposing sides parallel to each other.

Step-by-step explanation:

so basicaly i think a diamond is a rhombus but a rhombus is not a diamond.

Answer:

24 pounds of garlic

Step-by-step explanation:

if she spends 3$ per pound, you divide 72 by 3. the answer to that is 24, so if she spends 72 dollars on only garlic, she can buy 24 pounds.

Jennifer can buy 24 pounds of garlic

we see here, that if she spends 3$ per pound, you divide 72 by 3.

The answer would be 24, so if she spends 72 dollars on only garlic,

she can buy 24 pounds.

1: any of various units of mass and weight specifically: a unit now in general use among English-speaking peoples equal to 16 avoirdupois ounces or 7000 grains or 0.4536 kilogram — see Weights and Measures Table

2: the basic monetary unit of the United Kingdom.

In maths, a division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members each or 5 groups of 4 members each

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Answer:

I'm confused on what it's asking

Step-by-step explanation:

Using concept of linear inequality, number of least deliveries is 30 and value of freight is $60000.

What are linear inequalities?

Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

e.g. y>x+2

Now,

Given charge of $70 per delivery and A charge of 6.5% of the total value of the freight for each delivery and least amount is $102,000.

Let only one delivery is possible per day and no. of deliveries=n

amount of each freight=x

Therefore,

Linear inequality will be n(6.5/100**x+70)>102000

So least values of n and x will be

n=30 and x=$60000

Hence,

          number of least deliveries is 30 and value of freight is $60000.

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Answer:

x²+y²=225

Step-by-step explanation:

when centered at the origin the equation of a circle is x²+y²=r²

we are given x and y so 9²+12²=r²

\(r^{2} =9^{2} +12^{2}\\ =81+144\\ =225\)

The correct option is: n-2; take the square root of the result.The regression line always goes through the point of averages.

The regression line is used to understand the relationship between the dependent and independent variables in a scatter plot. The regression line always goes through the point of averages. The point of averages is the point where the two variables, independent and dependent variables meet when we add all the values of the independent and dependent variables together and then divide them by the number of values.Therefore, the correct option is: The point of averages.Regarding standard error of the estimate in linear regression using sample with n observations.

When calculating the standard error of the estimate in linear regression using sample with n observations, we first calculate the Sum of Squares Error (SSE). We then divide SSE by the degrees of freedom (n-2). Degrees of freedom is equal to the number of observations (n) minus the number of parameters in the model (2 for a simple linear regression).

Once we have calculated SSE/n-2, we take the square root of the result. This gives us the standard error of the estimate which tells us the average amount that the dependent variable varies from the regression line.In formula: Standard error of the estimate (SE) = sqrt(SSE/(n-2)). Therefore, the correct option is: n-2; take the square root of the result.

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Answer:

x=-1/4

Step-by-step explanation:

Answer:

The equation of the line is y = \(\frac{3}{4}\) x + (-2)

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where

From the given figure

∵ The line passes through points (0, -2) and (8, 4)

∴ x1 = 0 and y1 = -2

∴ x2 = 8 and y2 = 4

→ Substitute them in the rule of the slope above to find it

∵ m = \(\frac{4--2}{8-0}\) = \(\frac{4+2}{8}\) = \(\frac{6}{8}\) = \(\frac{3}{4}\)

∴ m = \(\frac{3}{4}\)

→ Substitute it in the form of the equation

∴ y = = \(\frac{3}{4}\) x + b

∵ b is the value of y at x = 0

∵ At x = 0, y = -2

∴ b = -2

→ Substitute it in the equation

∴ y = \(\frac{3}{4}\) x + (-2)

∴ The equation of the line is y = \(\frac{3}{4}\) x + (-2)

A graph showing the fat and calories content has increased in the number of calories with the increasing number of fat.

Thus the graph shows a linear trend and in increasing order.

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Answer:

The equation is "Y = 56.36*X + 56.47"

Step-by-step explanation:

The form of the equation is  y=mx+b, m = slope and b = intercept.

You have to find the slope of the trend line or you can use the plot points, but identifying the slope in the trend line is much easier.

It seems there are two points that are outliers and need no paying attention to, this is because outliers can make predictions unreliable and also make the trend line unreliable overall as well.

Have a Jocular day.

C) 36 yards   18*6=108

108ft to yards is 36

Answer:C

Step-by-step explanation:

Each jump rope is 6 feet long, so 18 jump ropes would require a total of:

18 x 6 = 108 feet of rope

Since there are 3 feet in a yard, we can convert 108 feet to yards by dividing by 3:

108 ÷ 3 = 36 yards

Therefore, the football coach should buy 36 yards of rope. The answer is (C).

Answer:

Step-by-step explanation:

ww33

Answer:

"0.057309921" is the correct answer.

Step-by-step explanation:

According to the question,

The coming probability will be:

= \(0.5\times 0.8\)

= \(0.4\)

n = 12

p = 0.4

Now,

⇒ \(P(X>7)=1-P(X<=7)\)

Here, X = Number of guests

                    \(=1-binom.dist(7,12,0.4,1)\)

                    \(=0.057309921\)

Thus, the above is the correct answer.  

The largest number which certain to divide P is 12. The correct option is B.

The product of all six numbers of the six-sided die is 6! = 720.

The products of numbers which can be visible are:

720 / 1, 720 / 2, …, 720 / 6.

In this case, the answer is the largest common divisor, that is:

720 / L

where L = the least common multiple of {1,2,3,4,5,6}.

So, it is clear that L = 60.

Thus, the answer is:

= 720 / L

= 720 / 6

= 12

Hence, the largest number which certain to divide P is 12, it is option B.

A Googolplex is studied to be the largest number in the world. It is stated as 10^googol. The number 10^googol can also be written in the exponential format which will equal 10^10^100. When writing the number googol in normal number writing format, the probability of losing count is very high. Thus, it is more convenient to write it in the form of exponent and powers.

The number googolplex is so extremely large which is unimaginable to be expressed in number writing format. Hence, the number remains a concept as it is of no use in mathematics for basic calculations.

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Answer:

$20,000

Step-by-step explanation:

Let the new car price before tax be p.  If the sales tax was $1400, then the following is true:  0.07p = $1400, and p = $20,000

$1400 is 7% of the before-tax new car price, which is $20,000

the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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Answer:

q = 1

Step-by-step explanation:

\(11=12-q\\\\12-q=11\\\\12-12-q=11-12\\\\-q=-1\\\\\frac{-q=-1}{-1}\\\\\boxed{q=1}\)

Hope this helps.

The equation that represents the total number of apples Natalie bought will be n = 80 / 8 + 54 / 6. Then the correct option is D.

A fruit store divided 54 green apples equally into six containers and 80 red apples equally into eight containers. One container of red and green apples was purchased by Natalie.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Let 'n' be the total number of apples Natalie bought. Then the equation is given as,

n = 80 / 8 + 54 / 6

Thus, the correct option is D.

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Answer:

$1798

Step-by-step explanation:

You take the money of 1550 and multiply the 16% for the 2 years, which is just 1.16 and you get 1798

The statement that is true about the climbers’ heights include the following: D. Both climbers rested on the wall at a constant height for 2 minutes.

In Mathematics, a position vs time graph can be defined as a type of graph that is used to graphically represent the distance traveled by an object from its starting position with respect to the time when it is started moving.

Generally speaking, the position or distance traveled by a physical object in a position vs time graph is always plotted on the y-coordinate while time is always plotted on the x-coordinate (x-axis).

In this scenario, the constant height for both climbers can be calculated as follows:

Abby's constant height = 6 - 4 = 2 minutes

Brynn's constant height = 8 - 6 = 2 minutes

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

y=4x

Step-by-step explanation:

Step-by-step explanation:

2x+3= 5 then x = 5 =5/5x

y=0