Janet has six candy bars she will split it into 2/3 size pieces. How many 2/3 size pieces will she get?

The seller earns $116.04 on each furnace microwave sold.

If 314% is the seller's profit, then the cost price of the furnace microwave can be found by dividing the selling price by (100% + 314%) or 4.14,

Cost price of the furnace microwave = Selling price / 4.14

                                                             = $153 / 4.14

                                                             = $36.96

                                                                  (rounded to two decimal places)

The profit earned by the seller on each furnace microwave is equal to the selling price minus the cost price,

Profit per furnace microwave = Selling price - Cost price

                                                 = $153 - $36.96

                                                 = $116.04

Hence, On each furnace microwave sold, the seller receives $116.04 in profit.

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(a) ab l 1 bc l = ab + bc

(b) cd l 1 db l = cd - db

(c) db l 2 ab l = 2ab + db

(d) dc l 1 ca l 1 ab = -ab + ca + dc

In each of the given combinations of vectors, we need to add or subtract the given vectors.

In case (a), the vectors are parallel and have the same direction, so we can simply add them to get the resultant vector: ab + bc = ac.

In case (b), the vectors are also parallel and have opposite directions, so we can subtract them to get the resultant vector: cd - db = cb.

In case (c), we need to double the vector db and subtract it from vector ab to get the resultant vector: ab - 2db = ab - db - db = ac - db.

In case (d), we need to add vector dc and subtract vectors ca and ab to get the resultant vector: dc - ca - ab = db. Therefore, the resultant vectors are: (a) ac, (b) cb, (c) ac - db, (d) db.

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The exact values of the remaining trigonometric functions are listed below:

Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4

Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11

Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3

Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2

In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:

sin θ = y / √(x² + y²)

cos θ = x / √(x² + y²)

tan θ = y / x

cot θ = x / y

sec θ = √(x² + y²) / x

csc θ = √(x² + y²) / y

Now we proceed to determine the exact values of the trigonometric functions:

Case 3: y = 4, √(x² + y²) = 5

x = √(5² - 4²)

x = 3

cos θ = 3 / 5

tan θ = 4 / 3

cot θ = 3 / 4

sec θ = 5 / 3

csc θ = 5 / 4

Case 4: x = 5, √(x² + y²) = 6

y = √(6² - 5²)

y = √11

sin θ = √11 / 6

tan θ = √11 / 5

cot θ = 5√11 / 5

sec θ = 6 / 5

csc θ = 6√11 / 11

Case 5: x = 8, √(x² + y²) = √73

y = √(73 - 8²)

y = 3

cos θ = 8√73 / 73

sin θ = 3√73 / 73

tan θ = 3 / 8

cot θ = 8 / 3

csc θ = √73 / 3

Case 6: x = √3, y = 1

sin θ = 1 / 2

cos θ = √3 / 2

tan θ = √3 / 3

sec θ = 2√3 / 3

csc θ = 2

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a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

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The expected value of X is 3.27 tells us the average amount that will be won in one game over a large number of games.

The rules for the game are as follows : If a red card is drawn, you win nothing.

If a spade is drawn, you win $5.

If a club is drawn, you win $10, and if it is an ace of clubs, you win an additional $20.

Define random variable x as the amount you win at one game.

When defining the variable, the possible values and their corresponding probabilities must be determined. Let's do that now.

The three possible outcomes for a single draw are:

1. A red card, with probability 26/522.

A spade, with probability 13/523.

A club, with probability 13/52

The amount won for each of these outcomes is:1. $02. $53. $10 if not an ace of clubs, $30 if an ace of clubs.

Note that the $10 and $20 are combined for a total of $30 if an ace of clubs is drawn.

Since the ace of clubs is just one card out of the 52, its probability of being drawn is 1/52.

Hence, the probability of drawing a club that is not an ace of clubs is 12/52.

So the probability of winning $10 is 12/52 = 3/13, and the probability of winning $30 is 1/52.

This gives us the following probabilities and outcomes for x : x = 0, with probability 26/52x = 5,

with probability 13/52x = 10,

with probability 3/13x = 30,

with probability 1/52.

Therefore, the expected value of x is : \($E(x) = 0 \cdot \frac{26}{52} + 5 \cdot \frac{13}{52} + 10 \cdot \frac{3}{13} + 30 \cdot \frac{1}{52}= \boxed{3.27}$\)

Note that it is possible to win nothing or $30 in a single game, but on average, we expect to win about $3.27 per game.

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Yes, this is true. Correlation between two variables, Y and X, can range from -1 to +1.

The correlation coefficient, ρYX, tells us the strength of the linear relationship between Y and X, and it ranges from -1 to +1. A correlation of -1 indicates a perfect negative linear relationship, while a correlation of +1 represents a perfect positive linear relationship. The value of 0 indicates that no relationship exists between the two variables.

The formula for covariance is Cov (Y, X) = σYX = E[(Y - μY)(X - μX)]. Therefore, the covariance between two variables also lies between -1 to +1. The covariance measures how two variables change with respect to each other. A positive covariance means that two variables are positively related, while a negative covariance indicates that two variables are inversely related. A zero covariance means that the two variables are independent of each other.

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Answer:

80 seconds

Step-by-step explanation:

A grain of rice contains about 0.029 milliliters of volume.

A grain of rice is a tiny, ingestible seed that comes from either Oryza sativa (Asian rice) or Oryza glaberrima, two types of grass (African rice). A single grain of rice is round or oval in shape and measures about 3–4 millimeters in length. A grain of rice has a volume of 0.029 milliliters and a mass of approximately 0.05 grams. The type of rice and the method of processing affect the size and form of a single grain of rice. Over half of the world's population relies heavily on rice as a source of nutrition and as a staple food in many different cultures. Sushi, risotto, rice pudding, and many more recipes all use rice as an ingredient.

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Answer:

10

Step-by-step explanation:

The expression ab + c means that we have to sum two terms.

The first term is ab, which is the product of  a and b (the multiplication sign is often dropped when obvious). Since a = 2 and b = 3, their product is 2x3 = 6.

The second term is simply c, which we know is equal to 4.

So, we have a sum, and the two terms are 6 and 4. The sum is 6+4 and the result is thus 10.

Answer:

10

Step-by-step explanation:

ab + c = ?

given:

a = 2

b = 3

c = 4

2 × 3 + 4 = 10

Answer:

∡2 = 115°

Step-by-step explanation:

Answer:

b. -4

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (-7 - -19)/(-2 - 1) = (-7 + 19)/(-3) = 12/-3 = -4

Answer:

15

Step-by-step explanation:

((10x2)/4)+20-10

The number when 10 is subtracted from the sum of 20 and the product of 2 and 10 is divided by 4​ will be 15.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

the sum of 20 and product of 2 and 10 divided by 4​

⇒ 20 + 2×10/4

Now 10 is substracted from it

⇒ 20 + 2×10/4 - 10

⇒ 10 + 10/2

⇒ 10 + 5

⇒ 15

Hence "The number when 10 is subtracted from the sum of 20 and the product of 2 and 10 is divided by 4​ will be 15".

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Answer:

33.33%

Step-by-step explanation:

Calculate percentage change from

V1 = 9 to V2 = 12

(V2-V1)|V1|×100

=(12−9)|9|×100

=3/9×100

=0.333333×100

=33.33%

The predicted number of customers with a temperature of 65 degrees Fahrenheit is given as follows:

445 customers.

The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.

From the table given in the problem, the points are listed as follows:

(55, 340), (58, 335), (64, 410), (68, 460), (70, 450), (75, 610), (80, 735), (84,780).

Inserting these points into the linear regression calculator, the equation is defined as follows:

y = 16.42x - 621.83.

Then the prediction of the number of customers with a temperature of 65 degrees Fahrenheit is obtained as y when x = 65, hence:

y = 16.42(65) - 621.83 = 445 customers.

The table is given by the image shown at the end of the answer.

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Answer:

Solution:

Given,

Ratio of photo to to the photo frame=2:3

Length of photo frame=36cm

= 36÷3

=13

then,

Length of photo = 13 ×2

= 26cm

Step-by-step explanation:

Therefore,the length of the photo is 26cm

Answer:

1

Step-by-step explanation:

Given,

Mass ( m ) = 500 g

Volume ( V ) = 500 ml

To find : Density ( D ) = ?

Formula : -

D = m / V

D = 500 / 500

D = 1 g/ml

Hence,

1 g/ml is the density of a substance that has a mass of 500 g and a volume of 500mL.

Answer:

y= -1/3x-7

Step-by-step explanation:

This retirement planning scenario involves saving a fixed amount per year, earning a specified interest rate, and determining the final retirement account balance, lump-sum investment amount, annual withdrawal in retirement, and required interest rate for a specific savings goal. The details are as follows:

a. retirement account balance of approximately $536,144.37

b. The lump sum required would be approximately $60,319.79.

c. With an account balance of $536,144.37, the annual withdrawal would be approximately $46,914.90.

d.  It would take approximately 16 years until the savings are depleted.

e. Through trial and error, it can be determined that an interest rate of approximately 10.47% is needed to achieve the desired savings goal.

a. The retirement account balance on the day of retirement can be calculated by using the formula for the future value of an ordinary annuity. In this case, saving $4,500 per year for 35 years with an annual interest rate of 5.5% will result in a retirement account balance of approximately $536,144.37.

b. To achieve the same retirement savings goal with a lump-sum investment today, the present value of an ordinary annuity formula can be used. The lump sum required would be approximately $60,319.79.

c. Assuming a retirement duration of 17 years and a desire to exhaust the savings with the 17th withdrawal, the annual withdrawal can be calculated using the formula for the annuity payment. With an account balance of $536,144.37, the annual withdrawal would be approximately $46,914.90.

d. If the decision is made to withdraw $90,000 per year in retirement, the number of years until the savings are exhausted can be determined using the formula for the number of periods in an annuity. It would take approximately 16 years until the savings are depleted.

e. If the maximum affordable annual saving is $900 and the goal is to retire with $1,000,000, the required interest rate can be calculated using the formula for the rate of return. Through trial and error, it can be determined that an interest rate of approximately 10.47% is needed to achieve the desired savings goal.

These calculations provide insights into the financial aspects of retirement planning and can help individuals make informed decisions about their savings, investments, and withdrawal strategies based on their specific goals and constraints.

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Answer:

48

Step-by-step explanation:

31 - (-17)

31 + 17 = 48

-TheUnknownScientist

Answer:

a) green: 0.3

yellow: 0.1

b) 12

Step-by-step explanation:

Unfortunately, I cant write on the table. But, I CAN help you with this question.

Since all probabilities have to add up to one, we can for an equation like this

(where y is yellow)

0.35+0.25+3y+y=1

This simplified is

0.6+4y=1

4y=0.4

So, we now know that green is 0.3, and yellow is 0.1.

For b, we set 0.35x to 14. Dividing gives us:

14/0.35=1400/35=40.

Multiply 0.3 by 40, and you get 12.

Hope this helped!

Answer:

a) x=7

b) x=4

c) x= 1/9

I hope this helps! Do you need more help?

Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)

Answer:

linear

y = 2.75x

Step-by-step explanation:

Price: $2.75/lb

Let y = cost.

Let x = number of pounds.

equation:

y = 2.75x

Linear equation

This is a direct proportion, so it is a linear equation.

For equal changes in x, you get equal changes in y.

Answer:

180

Step-by-step explanation:

5(2)^2 (3)^3

5(4) (27)

4(27) = 108

5(108) = 540*

Answer: -5y

Step-by-step explanation:

2.5+-5y-2.5

=-5y

or 0+-5y

Answer:

X=9 I think

Step-by-step explanation:

Irdk coz I suck at math

At t = 0.4, the velocity of the particle is zero. This indicates that the particle is momentarily at rest at this time.

To determine whether there is a time interval during which the particle is not moving, we need to examine the velocity of the particle. The velocity of the particle is the derivative of its position with respect to time.

The given position function is y = 0.20 + 8.0t - 10t^2.

To find the velocity function, we take the derivative of the position function with respect to time (t):

v(t) = d/dt (0.20 + 8.0t - 10t^2)

= 8.0 - 20t

The velocity function v(t) represents the rate of change of the position of the particle with respect to time. If the velocity is zero at any point in time, it means the particle is momentarily at rest.

Setting the velocity function equal to zero, we have:

8.0 - 20t = 0

Solving for t, we find:

20t = 8.0

t = 0.4

So, at t = 0.4, the velocity of the particle is zero. This indicates that the particle is momentarily at rest at this time.

Therefore, there is a time interval during which the particle is not moving, specifically at t = 0.4. Before and after this time point, the particle is in motion either upward or downward along the y-axis.

It's worth noting that we should consider the full domain of the position function (y) to determine if there are any other time intervals during which the particle is not moving. In this case, the given function does not specify any constraints on time, so the time interval t = 0.4 is the only time interval during which the particle is at rest.

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The area to the left of z=1.07 is approximately 0.8577 (rounded to four decimal place. To find the area under the standard normal curve to the left of z = 1.07 using a TI-84 calculator.

Follow these steps:

1. Press the "2nd" button, then press "Vars" to access the "DISTR" menu.
2. Scroll down to "normalcdf(" and press "Enter".
3. Enter -99999 (or -E99) as the lower limit, since we want to find the area to the left of z = 1.07, which is very close to negative infinity.
4. Enter 1.07 as the upper limit, since we want to find the area to the left of this value.
5. Enter 0 as the mean, since we're working with the standard normal distribution.
6. Enter 1 as the standard deviation, since we're working with the standard normal distribution.
7. Press "Enter" to calculate the area.

The answer should be approximately 0.8577 when rounded to four decimal places.

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To test whether a data model is biased, one can compute the average difference between a predicted result and an actual result using the bias() function.

Unreasonably supporting or opposing someone or something because you allowed your opinions to cloud your judgement: The senator accused the media of being biased. Journalists need to be objective and free of political prejudice. Cognitive biases are systematic thinking errors that are often learned from cultural and personal experiences.

They lead to perceptional distortions when people make decisions. Even though data may appear to be objective, it can still be biased because it is gathered and handled by humans. We are not objective in the way we perceive things. Biases can be deliberate or unintentional. If given the choice between three shirts, a person might choose the one in their preferred hue above the other two.

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Correct Question:

A data analyst wants to find out how much the predicted outcome and the actual outcome of their data model differ. what function can they use to quickly measure this?