you play a game where you spin on the wheel below. if the arrow lands on yellow you win $75, blue gives $25, green gives $10, and red gives $1. assuming each piece is equally likely find the expected value of the game. (write you answer as a decimal rounded to two places)

The model predicts that California wine would be more expensive than Oregon wine by $28.00.

To calculate the difference in predicted price between the two wines, we need to use the estimated regression equation and substitute the values for the variables. Let's say our estimated regression equation is:

Price = 50 + 2.5(Rating) + 10(California) - 8(Oregon)

Both wines have a rating of 90, so we can substitute that value in:

Price of California wine = 50 + 2.5(90) + 10(1) - 8(0) = 295

Price of Oregon wine = 50 + 2.5(90) + 10(0) - 8(1) = 267

Therefore, the predicted price of California wine is $295 and the predicted price of Oregon wine is $267. The difference between the two is $28.00.

You can learn more about the estimated regression equation at: brainly.com/question/29730755

#SPJ11

Answer:

x = -6

Step-by-step explanation:

you have given

10x + 8y = 12 and 4x + y = -15

so you must put the one var. x or y by same cofficent and in opposite sighn

so 10x + 8y = 12

- 8 (4x + y = -15 ) ......... i multiplied by -8

10x + 8y = 12

-32x - 8y = 120

then you will add the equation

(10x + 8y) + (-32x - 8y) = 12 + 120

afeter you simlify it u will get

-22x = 132

-22x = 132

x = -6 .... by dividing both sides by -22

Answer:

(-6,9)

Step-by-step explanation:

Multiply 4x + y = -15 all the say through by -8 and then add to 10x + 8y = 12

-32x -8y =  120

10x + 8y = 12

-22x =  132  Divide both sides by -22

x = -6

Substitute -6 for x

4x + y = -15

4(-6) + y = -15

-24 + y = -15  Add 24 to both sides

y = 9

Check

10x + 8y = 12

10(-6) + 8(9) = 12

-60 + 72 = 12

12 = 12  checks

4x + y = -15

4(-6) + 9 = -15

-24 + 9 = -15

-15 = -15 Checks.

Helping in the name of Jesus.

Answer:

BC = 24

Step-by-step explanation:

the angle between the tangent and the radius at the point of contact A is 90°

then Δ ABC is a right triangle

using the sine ratio in the right triangle

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{12}{BC}[/tex] ( multiply both sides by BC

BC × sin30° = 12 ( divide both sides by sin30° )

BC = [tex]\frac{12}{sin30}[/tex] = 24

Answer:

  (b)  ΔDEF ≅ ΔSRU

Step-by-step explanation:

Given point coordinates D(6, 4), E(5, 8), F(1, 2), you want the congruence statement for ∆DEF, given points R(-2, 4), S(-3, 0), U(2, -2) and the fact that ∆DEF is reflected across the y-axis and translated (3, -4).

The attached graph plots the given points. It is pretty clear that corresponding vertices are (D, S), (E, R), (F, U).

  ∆DEF ≅ ∆SRU

Reflection across the y-axis is described by ...

  (x, y) ⇒ (-x, y)

Translation right 3 and down 4 is described by ...

  (x, y) ⇒ (x +3, y -4)

Taken together, the transformation is ...

  (x, y) ⇒ (-x +3, y -4)

Applied to points D, E, F, we have ...

  D(6, 4) ⇒ D'(-3, 0) . . . . matches S

  E(5, 8) ⇒ E'(-2, 4) . . . . matches R

These two matches are sufficient to tell us that point F will be transformed to point U, and the congruence statement is ...

  ∆DEF ≅ ∆SRU

Answer:

ΔDEF ≅ ΔSRU

Step-by-step explanation:

The answer above is correct.

The total amount of flour that Annie has is 4 3/8 pounds

Annie has 1 5/8 pounds of all-purpose flour

She also has 2 3/4 pounds of whole wheat flour

The total amount of flour is

1 5/8 + 2 3/4

= 13/8 + 11/4

The LCM is 8

13 + 22/8

= 35/8

= 4 3/8

Hence the total amount of flour that Annie has in her kitchen is 4 3/8 pounds

Read more on pounds here
https://brainly.com/question/3473154

#SPJ1

The length of MN is 12 inches,  total surface area in square inches of the wooden blocks to be painted is 80400 square inches and

The formula for volume of a cuboid is:

Volume = Length× Width × Height

Thus 427 = (MN × 7× 3) + (5 × 5 × 7)

427 = 21MN + 175

21MN = 252

MN = 252/21

MN = 12

2) Surface area of entire object is:

TSA = 2(12 × 3) + 2(12×7) - (5 × 7) + 2(7×3) + 3(5 × 7) + 2(5 ×5)

= 402 in²

For 200 blocks:

TSA = 200× 402 = 80400 in²

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ1

The time necessary for p dollars to double when it is invested at interest rate r compounded annually is given by the formula:

t = (ln 2) / (r ln (1 + r))

When compounded monthly, the formula becomes:

t = (ln 2) / (12 r ln (1 + r/12))

When compounded daily, the formula becomes:

t = (ln 2) / (365 r ln (1 + r/365))

When compounded continuously, the formula becomes:

t = ln 2 / (r)

Note that ln is the natural logarithm function.

To use these formulas, you need to know the value of the interest rate r. For example, if r is 5%, then:

When compounded annually, t = (ln 2) / (0.05 ln 1.05) = 13.86 years
When compounded monthly, t = (ln 2) / (12 x 0.05 ln 1.0041) = 14.21 years
When compounded daily, t = (ln 2) / (365 x 0.05 ln 1.000137) = 14.27 years
When compounded continuously, t = ln 2 / (0.05) = 13.86 years

Therefore, the time necessary for p dollars to double depends on the interest rate and the frequency of compounding. Generally, the more frequently the interest is compounded, the shorter the time necessary for p dollars to double.

Learn more about natural logarithm function:

https://brainly.com/question/31390864

#SPJ11

The sum of the polynomial is solved to be

A. 5x^5 + 7x^3 + 7x^2 + 25x

To find the sum of the given polynomials, we simply add the like terms. Like terms in this case are terms with the same degree of x.

The given polynomials are:

(9x^5 + 7x^3 + 21x) and

(-4x^5 + 7x^2 + 4x)

Adding the like terms:

9x^5 + (-4x^5) = 5x^5

7x^3 + 0 = 7x^3

0 + 7x^2 = 7x^2

21x + 4x = 25x

Putting it all together, we get:

(9x^5 + 7x^3 + 21x) + (-4x^5 + 7x^2 + 4x) = 5x^5 + 7x^3 + 7x^2 + 25x

Learn more about polynomials at

https://brainly.com/question/4142886

#SPJ1

Answer:

Slope = 4

y-intercept = (0, 3)

Step-by-step explanation:

The slope of a line is a measure of its steepness. It represents how much the line rises or falls as it moves horizontally.

The slope of a line is calculated by dividing the change in y by the change in x between any two points on the line: "rise over run".

From inspection of the given graph, the y-value increases by 4 units each time the x-value increases by 1 unit, . Therefore, the rise is 4 units and the run is 1 unit. As 4/1 = 4, then the slope of the line is 4.

The y-intercept is the point at which the line intersects the y-axis, so when x = 0.

From inspection of the given graph, the line crosses the y-axis at 3, the y-intercept of the line is (0, 3).

The amount invested was approximately P239,534.52.

To solve this problem, we can use the formula for compound interest:

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

where A is the amount after t years, P is the principal amount, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.

In this problem, we know that the amount grew to P250,500 after some time. We also know that the interest rate is 5 3/4%, or 0.0575, and that the investment was made on July 12, 2020, which is about 8 months before March 11, 2021.

Let's first convert the interest rate to a monthly rate, since we need to compound the interest monthly:

r = 0.0575/12 = 0.004792

Next, let's calculate the number of months between July 12, 2020 and March 11, 2021:

8 months + 31 days/365 days = 8.0849 months

Now we can use the formula to solve for P:

250500 = P(1 + 0.004792/12)^(12*8.0849)

250500/P = 1.045305

P = 250500/1.045305

P = 239534.52

Therefore, the amount invested was approximately P239,534.52.

To learn more about principal visit:

https://brainly.com/question/31631148

#SPJ11

the findings of the study highlight the importance of maintaining a sterile environment in medical facilities and the need to take measures to prevent the spread of bacteria and other microorganisms.

It is important for medical personnel to maintain a sterile environment to prevent the spread of bacteria and other microorganisms. The findings of the research suggest that neckties worn by physicians, physician assistants, and medical students may harbor microorganisms that can cause illness.

The fact that 47.6% of the neckties tested positive for microorganisms is concerning, as it suggests that there is a significant risk of contamination. However, it is important to note that the study only sampled neckties at one hospital, so it is unclear if the findings can be generalized to other hospitals or medical facilities.

It is also worth noting that only one of the 10 ties worn by security guards tested positive for microorganisms. This suggests that there may be differences in the level of contamination between different types of clothing or between different groups of people.

Overall, the findings of the study highlight the importance of maintaining a sterile environment in medical facilities and the need to take measures to prevent the spread of bacteria and other microorganisms. This may include implementing dress codes that require medical personnel to avoid wearing neckties or other clothing items that cancan harbor bacteria, as well as ensuring that proper sterilization procedures are followed.

Visit to know more about Measure:-

brainly.com/question/28293784

#SPJ11

The    median for Data Set A is 30, and

median for Data Set B is 50.

The IQR for Data Set A is 20 (from 20 to 40), also   the IQR for Data Set B is also 20 (from 40   to 60).

To find the median we say   ......

For data set A, the median is:

The 6th value is the middle value, since there are 12 total values.

The 6th value =   30 on the number line,

since there are 2 dots above 10, 3 above 20, and 4 above 30.

Therefore, the median of data set A is 30.

For data set B, the median is:

The 7th and 8th values are the middle values, since there are 14 total values.

The 7th and 8th values =  50 on the number line,

since there are 4 dots above 50 and 2 dots above 60.

Hence, the median of data set B is 50.

To find the IQR, we need to find the range of the middle 50% of each data set.

For data set A, the IQR is:

The lower quartile is the 3rd value, which =  20 on the number line.

The upper quartile is the 9th value, = 40 on the number line.

The IQR is the difference between the upper and lower quartiles: 40 - 20 = 20.

For data set B, the IQR is:

The lower quartile is the 4th value, =  40 on the number line.

The upper quartile is the 11th value, = 70 on the number line.

Thus,

The IQR =  70 - 40 = 30.

Thus, data set B has a higher median than data set A,

And see that data set B has a larger IQR than data set A.

Learn more about double dot plot:
https://brainly.com/question/15660308
#SPJ1

The value of n is 5.

Given that, the Coordinate of P = (n,3)

R is on y-axis & the y-coordinate of P & R are equal.

So coordinate of R = (3,0)

Coordinate of Q = (n,-2)

Using distance formula,

Distance between P & Q =

[tex]=\sqrt{(n-n)^2+(-3-(-2)^2} \\\\=\sqrt{(3+2)^2} \\\\= \sqrt{25} = 5[/tex]

Distance between P & R =

[tex]\sqrt{(n-0)^2+(3-3)^2}[/tex]

= n

According to the question it is given that distance between P & Q is equal to the distance between P & R. So, n = 5.

Learn more about distance between points, click;

https://brainly.com/question/15958176

#SPJ1

Answer: f(g(x)) = (x - 9)² + 2(x - 9)

= x² - 18x + 81 + 2x - 18

= x² - 16x + 81

Step-by-step explanation:

Answer:

The area of the triangle is one-half the area of the rectangle. So the correct answer is C.

The sampling method that describes a stratified random sample is (D) Randomly select 25 names from the female students on the list and randomly select 25 names from the male students on the list. The correct option is D.

Stratified random sampling involves dividing the population into strata or subgroups based on some characteristics, such as gender in this case, and then randomly selecting a sample from each stratum to ensure representation from all groups in the population.

Option (A) only selects one subgroup, while option (B) and (E) are simple random samples that do not involve dividing the population into strata.

Option (C) is systematic sampling, which involves selecting every nth individual from the population after randomizing the order of the list.

Option D is the correct option.

To learn more about stratified random sample refer here

https://brainly.com/question/31051644#

#SPJ11

Complete question:

A program exists to encourage more middle school students to major in math and science when they go to college. The organizers of the program want to estimate the proportion of students who, after completing the program, go on to major in math or science in college. The organizers will select a sample of students from a list of all students who completed the program. Which of the following sampling methods describes a stratified random sample? (A) Select all female students on the list. (B) Randomly select 50 students on the list. (C) Randomize the names on the list and then select every tenth student on the randomized list. (D) Randomly select 25 names from the female students on the list and randomly select 25 names from the male students on the list. (E) Randomly select 50 students on the list who are attending college.

The exact value of the expression is: sin(182°) ≈ -0.1492 (rounded to four decimal places)

To write this expression as a trigonometric function of a single number:

We can use the addition formula for sine and cosine:

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

Using these expressions, we can rewrite the expression as follows:

sin(11° + 190°) + sin(19°)

Simplifying the first term using the identity sin(a + 180°) = -sin(a),

we get:

sin(201°) - sin(19°)

Now, using the subtraction formula for sine, we can write:

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

Therefore,

sin(201° - 19°) = sin(182°)

So the exact value of the formula:

sin(182°) ≈ -0.1492 (rounded to four decimal places)

To know more about sine:

https://brainly.com/question/19213118

#SPJ11

The value of w in the similar rectangle is 27 units.

For two rectangles to be similar, their sides have to be proportional (form equal ratios).

Therefore, let's use the proportional relationship of the rectangle to find the value of w in the rectangle as follows:

9 / w = 16 / 48

cross multiply

9 × 48 = 16w

16w = 432

divide both sides by 16

w = 432 / 16

w = 27 units

Hence, the value of w is 27 units

learn more on similar rectangle here: https://brainly.com/question/10075733

#SPJ1

It says that the landscaping company uses 3 1/2 tons the first month and then it says the next month uses the same amount on each of the five prodjects so for every one project in the second month they use 3 1/2 tons.

Answer:

(12, 28 )

Step-by-step explanation:

y = 2x + 4 → (1)

y = 3x - 8 → (2)

substitute y = 3x - 8 into (1)

3x - 8 = 2x + 4 ( subtract 2x from both sides )

x - 8 = 4 ( add 8 to both sides )

x = 12

substitute x = 12 into either of the 2 equations

substituting into (1)

y = 2(12) + 4 = 24 + 4 = 28

solution is (12, 28 )

The amount of time this company would continue to manufacture this computer is equal to 14 months.

In order to calculate the amount of time this company continue to manufacture this computer, we would have to determine an equation for S(t) by integrating the function S'(t) with respect to t as follows;

[tex]S'(t)= -10t^{\frac{2}{3} } \\\\S(t)= \int S'(t) \, dt\\\\S(t)= \frac{-10}{\frac{2}{3} +1}t^{\frac{2}{3}+1} +C\\\\S(t)= -6t^{\frac{5}{3}} +C\\\\S(t)= -6t^{\frac{5}{3}} +1480[/tex]

Note: The y-intercept or initial value is 1,480 (t = 0).

At 1,000 computers, we have:

[tex]1000= -6t^{\frac{5}{3}} +1480\\\\6t^{\frac{5}{3}}= 1480-1000\\6t^{\frac{5}{3}}=480\\\\t^{\frac{5}{3}}=80\\\\t=\sqrt[\frac{5}{3} ]{80}[/tex]

Time, t = 13.86 ≈ 14 months.

Read more on integrating and function here: https://brainly.com/question/14051832

#SPJ1

Answer:

75

Step-by-step explanation:

300/4 = 75

Change of y/ change of x = gradient

The location of S" after translating and rotating the rectangle is (-3, -4).

To find the location of S" after translating and rotating the rectangle, we need to follow the two steps in order:

Translation: Apply the rule (x, y) → (x − 2, y − 4) to each vertex of the rectangle to get its new location. The new vertices are:

S'(-4, -3), T'(-4, -1), U'(-2, -1), V'(-2, -3)

Rotation: Rotate the translated rectangle 90° counterclockwise. This means that each vertex will swap its x and y coordinates and the new x-coordinate will be negated. The new vertices after rotation are:

S"(-3, -4), T"(-1, -4), U"( -1, -2), V"(-3, -2)

Therefore, the location of S" is (-3, -4).

To learn more about rectangle follow the link:

https://brainly.com/question/28993977

#SPJ1

The probability that the region will be hit by fewer than 7 hurricanes in a given year is 0.2506. The probability that the region will be hit by anywhere from 6 to 8 hurricanes in a given year is  0.7327.

(a) Using the Poisson distribution with λ = 8.5, we can use the cumulative probability function to find the probability of getting fewer than 7 hurricanes in a given year. P(X < 7) = 0.2506 (rounded to four decimal places).

(b) To find the probability of the region being hit by anywhere from 6 to 8 hurricanes in a given year, we can use the Poisson distribution to find the probabilities of getting 6, 7, and 8 hurricanes and add them together.

[tex]P(6\leq X \leq 8)[/tex] = P(X = 6) + P(X = 7) + P(X = 8) = 0.1901 + 0.3116 + 0.2310 = 0.7327 (rounded to four decimal places).

To know more about the Poisson distribution visit:

https://brainly.com/question/28044733

#SPJ11

The probability of spinning a 3 and flipping heads is 1/8.

Given that, sample space of spinner is {1, 2, 3, 4}

Sample space of flipping the coin {Heads, Tails}

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Probability of spinning a 3 = 1/4

Probability of flipping heads = 1/2

Probability of an event = 1/4 × 1/2

= 1/8

Therefore, the probability of spinning a 3 and flipping heads is 1/8.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ1

Yes, I do agree that Kelly can't put a right triangle in either of the groups because it does not have two pairs of parallel sides.

In Mathematics and Geometry, a right angle can be defined as a type of angle that is formed in a triangle by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angled triangle has a measure of 90 degrees.

Based on the Venn diagram shown in the image attached below, we can reasonably infer and logically deduce that Kelly was correct by saying can't put a right triangle or right angled triangle in either of the groups because it does not have two pairs of parallel sides.

However, Kelly can put a square or rectangle in either of the groups because they have two pairs of parallel sides.

Read more on right triangle here: https://brainly.com/question/1248322

#SPJ1

Missing information:

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

The final amount after 9 years on a sum of $800 at 6% per annum compounded monthly is $1370.

The "Compound-Interest" refers to the interest earned on both the principal amount and the accumulated interest from previous periods, resulting in exponential growth over time.

To calculate the compound interest earned for a principal amount "P", an annual interest rate "r", and a time period of "t" years compounded n times per year, we use the following formula: [tex]A = P(1 + \frac{r}{n} )^{nt}[/tex],

where A is "final-amount" after "t" years,

In this case, the principal amount "P" is $800,

The "annual-interest-rate" (r) is = 6%, and the time period "t" is 9 years.

The interest is compounded monthly, which means n = 12 (12 months in a year).

Substituting the values,

We get,

⇒ A = 800(1 + 0.06/12)¹²ˣ⁹,

⇒ A = 800(1 + 0.005)¹⁰⁸,

⇒ A = 800 × (1.005)¹⁰⁸,

⇒ A ≈ 1370,

Therefore, the total amount after 9 years is approximately $1370.

Learn more about Compound Interest here

https://brainly.com/question/29335425

#SPJ1

The given question is incomplete, the complete question is

Find the final amount after 9 years for P=800 , r=6%, compounded monthly​.

We can say with 95% confidence that the true population mean of the growing season is between 176.3 and 212.9 days.

We can use a t-distribution since the population standard deviation is unknown and the sample size is small (n < 30).

The formula for a confidence interval with a t-distribution is:

CI = x ± tα/2 * (s/√n)

Where:

x = sample mean

s = sample standard deviation

n = sample size

tα/2 = t-value with degrees of freedom (df = n-1) and α/2 level of significance

Using the given information, we have:

x = 194.6

s = 55.6

n = 32

df = n-1 = 31

α/2 = 0.05/2 = 0.025 (since it's a 95% confidence interval)

We can find the t-value using a t-distribution table or a calculator. For df = 31 and α/2 = 0.025, we get:

tα/2 = 2.0395

Substituting the values into the formula, we get:

CI = 194.6 ± 2.0395 * (55.6/√32)

CI = (176.3, 212.9)

Therefore, we can say with 95% confidence that the true population mean of the growing season is between 176.3 and 212.9 days.

To learn more about confidence visit:

https://brainly.com/question/28969535

#SPJ11

Answer:

x = 4/3 + t

y = -1/3 - 2t

z = 4/3 - t

Step-by-step explanation:

The given line can be represented by the vector equation:

r = <1, 1, 0> + t<1, -1, 2>

We can find a vector that is perpendicular to this line by taking the cross product of the direction vector <1, -1, 2> with any other vector. Let's choose the vector <1, 0, 0> for this purpose:

n = <1, -1, 2> x <1, 0, 0> = <-2, -1, -1>

Now we have a normal vector n = <-2, -1, -1> to the line we want to find. We can use this vector and the given point (0, 1, 2) to find the equation of the plane that contains the line we want to find:

-2(x-0) - (y-1) - (z-2) = 0

-2x - y - z + 3 = 0

This plane intersects the given line when they have a point in common. To find this point, we can solve the system of equations:

-2x - y - z + 3 = 0

x - y = 1

z = 2t

From the second equation, we get x = t+1 and y = t. Substituting these into the first equation, we get:

-2(t+1) - t - 2t + 3 = 0

t = -1/3

Therefore, the point of intersection is (4/3, -1/3, 4/3). This point lies on both the line and the plane, so it is the point we need to use to find the parametric equations of the line we want to find.

Let's call the point we just found P. We can find the direction vector of the line we want to find by taking the cross product of the normal vector n with the vector from P to the point on the given line:

d = <-2, -1, -1> x <4/3-1, -1/3-1, 4/3-2> = <1, -2, -1>

Therefore, the parametric equations of the line we want to find are:

x = 4/3 + t

y = -1/3 - 2t

z = 4/3 - t