Use the method of your choice to determine the probability below.Spinning two winners in a row with a wheel of fortune on which the winner is one of 17 equally likely outcomes.Question content area bottomPart 1The probability isenter your response here.(Type an integer or a simplified fraction.)

Step-by-step explanation:

hay! these is my answer,,,,,, I hope these will help

Abby’s Expression:

Double m, giving 2m. She then takes 20% of the result, which we can write 0.2(2m). Finally she subtracts this from 2m, giving 2m−(0.2)2m

2m − (0.2)2m

Renato’s Expression:

Divide m by 5, giving m ÷ 5 = m/5, and then multiplies the result by 8, giving:

8(m/5)

Answer:

line a )y=-5/4x+3

line b) y=4/5+5

Answer:

dddddd okaksy ogvurn

Step-by-step explanation:

d

Answer:

(a) mean = 43.5

(b) median = 44

(c) mode = None

(d) midrange = 79.5

Step-by-step explanation:

I did this with a graphing calculator, the TI-84 Plus CE by Texas Instruments, highly recommend. You can find every function you need for stats in a graphing calculator.

To put the data into your calculator:

'stat' --> ' 1 : Edit...' --> put one value on each row

Go back to the main calculator with '2nd' --> 'quit'

Lastly go back to 'stat' and scroll to 'CALC' at the top, then click the first option, '1 : 1-Var Stats'

If you know the symbols it'll tell you a lot, and there are functions for genuinely everything in stats.

Answer:

y= 20x

Step-by-step explanation:

\(40/2=100/5=200/10=20\)  linear function.

I hope this help you

Answer:

See answer below.

Step-by-step explanation:

|-x| ≤ 3

Case 1                           Case II

|-x| ≤ 3                             - (|-x|) ≤ 3

x ≤ 3                               - (x) ≤ 3

                                         -x ≤ 3       If negative is negative, change all signs to

                                                          the opposite sign.

  x ≤ 3                                x ≥ -3

Close circle at 3                   Closed circle at -3

and shaded to the left.        and shaded to the right        

     Answer :  Closed circle at -3 and closed circle at 3 and shaded between

                      -3 and 3                  

Answer:

y = 4x + 15

Step-by-step explanation:

Answer:

i cant put the picture of the graph in here but the coordinates for the answer you are looking for are first the -2,7 of course and then if the slope is 4 then your next coordinates are -3,3

Answer:

x axis

Step-by-step explanation:

x axis.

in general the value measured by the __x__axis is called the independent variable

Explanation:

The error is 42-40 = 2 meters

Divide this over the actual width

2/42 = 0.0476 = 4.76% approximately

This rounds to 5%

Answer:

D. 5%

Step-by-step explanation:

Percent Error = (|40 - 42| / 42) × 100

Percent Error = (2 / 42) × 100

Percent Error ≈ 4.76%

a. The expected value is $12

b. She is expected to win money

To find the expected value of playing the game, we need to calculate the average value of the winnings or losses.

(a) Expected Value:

The probability of drawing an even-numbered card is 5/10 (since there are 5 even-numbered cards out of 10), and the probability of drawing an odd-numbered card is also 5/10.

If Leila draws an even-numbered card, she wins an amount equal to the value of the card. So the expected value of winning is:

(5/10) * (2 + 4 + 6 + 8 + 10) = (5/10) * 30 = 15/10 = $15

If Leila draws an odd-numbered card, she loses $6. So the expected value of losing is:

(5/10) * (-6) = -3

To find the overall expected value, we subtract the expected value of losing from the expected value of winning:

Expected value = (15) + (-3) = 12

Therefore, the expected value of playing the game is $12

(b) In the long run, after playing the game many times, Leila can expect to lose money. Since the expected value is positive $12 , on average, she will win $12 per game.

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The man still owes R87,726 in taxes.

To calculate the tax amount the man still owes, we need to determine his taxable income first.

Gross income: R500,000

Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000

Taxable income: R500,000 - R85,000 = R415,000

Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.

Tax owed: R93,135 + 36% of (taxable income - R393,200)

Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)

Tax owed: R93,135 + 0.36 * R21,800

Tax owed: R93,135 + R7,848

Tax owed: R100,983

Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.

Tax owed - Rebate: R100,983 - R13,257 = R87,726

Therefore, the man still owes R87,726 in taxes.

The correct option is not provided among the given answer choices.

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Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:

First question: Choice A

second question:Choice D

Third question: Choice c

Fourth question: Choise b

5th Question: choice b

Using the points A(1,5), B(1,-4), C(-3,5), D(-3,-4) the following are matched:

Distance between points B and C = √97.

Distance between points A and B = 9.

Midpoint between points  B and C = (-1, 1/2).

Midpoint between C and D = (-3, 1/2).

Slope of the line through B and D = 0.

The distance between two points of a line is given as:

Distance = \(\sqrt{c - a)^2 + (d - b)^2}\)

We have,

A(1,5), B(1,-4), C(-3,5) and D(-3,-4).

The distance between A and B.

= \(\sqrt{(1 - 1)^2 + (-4 - 5)^2}\)

= √81

= 9

The distance between B and C.

= \(\sqrt{(-3 - 1)^2 + (5 + 4)^2}\)

= √(16 + 81)

= √97

The midpoint (x, y) between B and C.

x = (1 - 3)/2 = -1

y = (-4 + 5) / 2 = 1/2

The midpoint (x, y) between C and D.

x = (-3 -3) / 2 = -6/2 = -3

y = (5 - 4) / 2 = 1/2

The slope of the line through points B and D.

= (-4 + 4) / (-3 - 1)

= 0/ -4

= 0

Thus,

The distance between A and B is 9.

The distance between B and C is √97.

The midpoint between B and C is (-1, 1/2).

The midpoint between C and D is (-3, 1/2).

The slope of the line through B and D is 0.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use the Pythagoras theorem to solve for the answer.

step one:

given that the points are located at (x1,y1),(x2,y2) =(3, -6) and (-3,2)

\(d=\sqrt{(x2-x1)^2-(y2-y1)^2}\)

step two:

substituting into the formula we have

\(d=\sqrt{(-3-3)^2+(2-(6))^2} \\\\d=\sqrt{(-6)^2+(2+6))^2} \\\\d=\sqrt{(36+(-4)^2} \\\\d=\sqrt{(36+16} \\\\d=\sqrt{52} \\\\\\d=7.211\)

To the nearest tenth we have

d=7.2

i) 4 more gallons of petrol will be needed to complete the journey.

ii) The cost of the petrol for the 420 km journey is GH¢55.00.

i) To determine the number of gallons of petrol needed to complete the journey, we can calculate the total distance that can be covered with the available petrol and then subtract it from the total distance of the journey.

Given that the car consumes 1 gallon of petrol for every 30 km, we can calculate the distance that can be covered with 10 gallons of petrol by multiplying 10 (gallons) by 30 (km/gallon):

Distance covered with 10 gallons = 10 * 30 = 300 km

To find the remaining distance that needs to be covered, we subtract the distance covered with the available petrol from the total distance of the journey:

Remaining distance = Total distance - Distance covered with available petrol

Remaining distance = 420 km - 300 km = 120 km

Since the car consumes 1 gallon of petrol for every 30 km, we can determine the additional gallons of petrol needed by dividing the remaining distance by 30:

Additional gallons needed = Remaining distance / 30 = 120 km / 30 km/gallon = 4 gallons

Therefore, the driver will need 4 more gallons of petrol to complete the journey.

ii) To calculate the cost of the petrol for the journey of 420 km, we need to multiply the total number of gallons used for the journey by the cost per gallon.

Given that a gallon of petrol costs GH¢5.50, and the total number of gallons used for the journey is 10 (given in the problem), we can calculate the cost using the formula:

Cost of petrol = Total gallons used * Cost per gallon

Cost of petrol = 10 gallons * GH¢5.50/gallon = GH¢55.00

Therefore, the cost of the petrol for the journey of 420 km is GH¢55.00.

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Answer:

The triangles are similar.

Step-by-step explanation:

The reason for this is because they both share two pairs of angles that are the same: 40 degrees and 60 degrees. If these are equal, then that must mean the third angle for both triangles is also the same, making both triangles equal in proportion. Therefore, they must be similar.

Answer:

Yes

Step-by-step explanation:

(i) By AA similarity

(ii) By SSS similarity

Answer:Measures of Exterior Angles

They are formed on the outer part, that is, the exterior of the angle.

The corresponding sum of the exterior and interior angles formed on the same side = 180°.

Step-by-step explanation: is that what u mean?

The width of the rectangular prism that has a volume of 440 cubic centimeters as shown in the image is: 5 cm

Recall;

Volume of rectangular prism is: \(V = length \times width \times height\)

From the image given, the dimension of the rectangular prism are:

Plug in the values into the volume formula:

\(x(x-3)(x+3) = 440\\\\\)

Find the value of x

\(x(x^2 - 9) = 440\\\\x^3 - 9x = 440\\\\x^3 - 9x - 440 = 0\)

Factorize

\((x - 8)(x^2 + 8x + 55) = 0\)

We can determine the value of x using one of the factors that will give us a positive value.

Thus:

x - 8 = 0

x = 0 + 8

x = 8

width(w) = x - 3

width (w) = 8 - 3

width (w) = 5 cm

Therefore, the width of the rectangular prism as shown in the image is: 5 cm

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Answer: 16 ft

Step-by-step explanation: The ratio given is 2ft=1in, therefore 2ft/1in=1. Multiplying anything by 1 equals itself, so multiplying 8in*(2ft/1in)=16ft where the number of inches cancel out.

Answer: 107,000

Step-by-step explanation:

the exponent is a positive 5, so move the decimal point 5 places right.

if exponent is negative, go the other direction

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

The coefficient of the second term, 6x⁴, is 6.

The terms of the polynomial are:

-4y⁵, 6x⁴, 9w³, -4w, -1

The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.

The coefficient is 6.

Therefore, the list of terms is:

-4y⁵, 6x⁴, 9w³, -4w, -1

Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.

The coefficients indicate the scalar value by which each term is multiplied.

The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.

Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.

There is a 6 coefficient.

As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.

Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.

The scalar value by which each phrase is multiplied is shown by the coefficients.

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Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.

Step-by-step explanation:

Answer:

-12y^10

Step-by-step explanation:

First let's rewrite the equation using the commutative property of multiplication
3 x (-4)y^8y^2

Multiply y^8 by y^2 by adding the exponents
y^8+y^2= y^10

3 x (-4)y^10

Now multiply 3 by -4
3 x -4= -12

Finally put them together
-12 + y^10= -12y^10

Answer:

\( - 12 {y}^{10} \)

Step-by-step explanation:

We are to simplify:

\((3 {y}^{8} )( - 4 {y}^{2} )\)

3 multiplies -4 to get -12, as shown below

\(3 \times - 4 = - 12\)

Now, to multiply the exponents which are 8 and 2, we have to use the exponential rule of multiplication: \( {a}^{b} \times {a}^{c} = {a}^{b + c} \)

Therefore:

\( {y}^{8} \times {y}^{2} = = > {y}^{8 + 2} = {y}^{10} \)

Now, combine -12 and \( {y}^{10} \) to get your final answer.

Final answer \( = - 12 {y}^{10} \)