Bruno correctly answered 4 questions out of every 5 questions on a test.



Write the ratio of questions that Bruno answered correctly to the number of questions on the test

Answer:

6,195

Step-by-step explanation:

The computation of the total number of votes is shown below:

Given that

The ratio of yes votes to no votes is 4:3

And, the yes votes is 3,540

So, the total number of votes is

= 3,540 × 7 ÷ 4

= 6,195

Answer:

3643750000

Step-by-step explanation:

The critical points are (2,1) and (0,0). Given, z = 3x² - xy + 2y² - 4x - 7y + 12.1. Find the critical points at which the function may be optimized.

To find the critical points, we need to solve the following system of equations: ∂z/∂x = 0, ∂z/∂y = 0∂z/∂x = 6x - y - 4 = 0∂z/∂y = -x + 4y - 7 = 0By solving these equations, we get two critical points: (2,1) and (0,0).2. Determine whether at the computed points, the function takes on its maximum or minimum value.

To determine whether each critical point is a maximum, minimum, or saddle point, we need to compute the second partial derivatives of z: ∂²z/∂x² = 6, ∂²z/∂y² = 4, ∂²z/∂x∂y = -1At the point (2,1), the second partial derivatives satisfy the condition (∂²z/∂x²)(∂²z/∂y²) - (∂²z/∂x∂y)² = (6)(4) - (-1)² = 25 > 0 and ∂²z/∂x² > 0, so z has a minimum value at this point.At the point (0,0), the second partial derivatives satisfy the condition (∂²z/∂x²)(∂²z/∂y²) - (∂²z/∂x∂y)² = (6)(4) - (-1)² = 25 > 0 and ∂²z/∂x² > 0, so z has a minimum value at this point.Therefore, the function z = 3x² - xy + 2y² - 4x - 7y + 12 is optimized at (2,1), where the minimum value is z = 3(2)² - (2)(1) + 2(1)² - 4(2) - 7(1) + 12 = -10.

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To combine 16 different channels using Time Division Multiplexing (TDM), we can divide the available time slots into four groups, with each group containing four channels.

Time Division Multiplexing is a technique used to transmit multiple signals over a single communication link by dividing the available time slots. In this scenario, we have 16 different channels that need to be combined. To accomplish this using TDM, we can divide the available time slots into four groups, with each group containing four channels.

In each time slot, a sample from each channel in the group is transmitted sequentially. This process continues in a round-robin fashion, cycling through each group of channels. By doing so, all 16 channels can be accommodated within the available time frame.

The TDM technique allows for efficient utilization of the communication link by sharing the available bandwidth among multiple channels. It ensures that each channel gets its allocated time slot for transmission, thereby preventing interference or overlap between channels. This method is commonly used in various communication systems, such as telephony, to multiplex multiple voice or data streams over a single line.

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Question :

justinapace7446

Yesterday

Mathematics

High School

+5 pts

Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs

$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as

sugar

Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put

$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money

should he invest in each deposit?

Number of Years

Rate

2.0%

5.0%

6.0%

Answer:

1-year: $2200, 2-year: $3200, 3-year: $6600

Step-by-step explanation:

Assume y = Amount invested for 1 year.

y + 1000 = investment amount for 2 years

12000 - (y + y + 1000 ) = amount invested for 3 years

11000 - 2y = amount invested for 3 years

Total interest

Multiplying each by its corresponding rate

(0.02 × y) + (0.05 × (y+1000)) + (0.06 × (11000-2y)) = 600

0.02y + 0.05y + 50 + 660 - 0.12y = 600

-0.05y + 710 = 600

-0.05y = 600 - 710

-0.05y = - 110

y = 2200

Therefore first year = y = $2200

Investment for 2 years =y + 1000 = 2200 + 1000 = $3200

Investment for 3 years = 11000 - 2y = (11000 - (2*2200)) = (11000 - 4400) = $6600

The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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Answer: 0.75

Step-by-step explanation: Each term will divide by 2 and the quotient is the next term

24/2 = 12

12/2 = 6

6/2 = 3

3/2 = 1.5

1.5 / 2 = 0.75

We have the following:

We have coterminal angles, when you graph angles x = 30° and y = - 330° in standard position, these angles will have the same terminal side. See figure below.

Therefore, the answer is 94 degrees in the quadrant II

Step-by-step explanation:

\(m = - ( 4 + m) + 2\)

\(m = - 4 - m + 2\)

\(m + m = - 4 + 2\)

\(2m = - 2\)

\(m = - 1\)

is the required Answer.

Hope it helps :)

Answer:

-1

Step-by-step explanation:

The solution of each expression is

(1) (-2×-5-3)+(2×-2)  = - 10

(2) (3/4 x-1)-(1/3 x +4) = -13/12 x -5

(3) -6.5b+11 + 3.3 b - 2 = - 3.2b + 9

(4) (-3.6x+9.4)-(1.9x +3.6) = -5.5 x + 5.8

When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. An equation is an algebraic statement that demonstrates two mathematical expressions are equivalent in algebra, and this is how it is most usually used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.

(1) The sum of the given expressions is given as
(-2×-5-3)+(2×-2)

= -2x - 8 + 2x - 2

= -8 - 2

= - 10

(2) (3/4 x-1)-(1/3 x +4)

(-3/4) x- (1/3) x - 1 - 4

= -13/12 x -5

(3) -6.5b+11 + 3.3 b - 2

= (-6.5+ 3.3) +11 -2

= - 3.2b + 9

(4) (-3.6x+9.4)-(1.9x +3.6)

= (-3.6x-1.9x)+9.4 - 3.6

= -5.5 x + 5.8

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Based on the information, it can be concluded Isabella bought  2 paintbrushes and 3 jars of paint.

The average of buying a product is 0.97, which means Isabella can buy a total of 5 items (0.97 x 5 = 4.85)

Based on this different combinations of products are possible, for example, 1 paintbrush and 4 jars or 3 jars and 2 paintbrushes. However, the one that fits the final price is:

2 paintbrushes x 0.95 = $1.9

3 jars of paint x 0.99 = $2.97

$2.97 + 1.9 = $4.87

Note: This question is incomplete, here is the missing information

The paintbrushes cost $0.95 and the jar of paint cost $.099

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The two dependent variables will be:

1. The women who gained weight during the pregnancy.

2. The women who smoked during the pregnancy.

We are given that a study of a very large number of pregnant women in Arkansas reports that the women gained, on average, 14 pounds during their pregnancy and that 18% of the women smoked.

Now, we need to tell the two variables of the study.

Now, we can see that the independent variable is pregnant women.

Also, the two dependent variables will be:

1. The women who gained weight during the pregnancy.

2. The women who smoked during the pregnancy.

Therefore, the two dependent variables will be:

1. The women who gained weight during the pregnancy.

2. The women who smoked during the pregnancy.

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Answer:

that is right the greater one is 1.349

Step-by-step explanation:

bc the number after the decimal 3 is bigger than 1

the expression is

so the correct answer is d = -16

5a. A function to show p, the number of parrots t years after 2010 is \(P(t) = 515(1.54)^t\\\\\).

5b. The number of parrots that is expected to be there in 2016 is 6,870 parrots.

In Mathematics and Statistics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

\(P(t) = I(1 + r)^t\\\\\)

Where:

Part a.

By substituting the given parameters into the formula, an exponential function to show p, the number of parrots t years after 2010 is given by;

\(P(t) = I(1 + r)^t\\\\\)

4418= 515(1 + r)⁵

(1 + r)⁵ = 4418/515

(1 + r)⁵ = 8.5786407766990

1 + r = 1.54

Therefore, the required exponential function to show p is given by;

\(P(t) = 515(1.54)^t\\\\\)

Part b.

When t = 6 years, the number of parrots can be calculated as follows;

\(P(6) = 515(1.54)^6\)

P(6) = 6,869.60 ≈ 6,870 parrots.

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Answer:

Step-by-step explanation:

The direct variation between any two variables x and y is represented by

y = kx    where k is the constant of proportionality.

In the problem given above

Let cost price be y as it depends upon the value of copies

and x be the number of copies of art work

Thus we have equation

Y = kx  

it is given that it costs her $1 to make 5 copies, so plugging in the value of x  as 5 copies any y as $1 we have

1 = k5

k = 1/5

Thus equation is y = (1/5) x.

To check the validity of equation lets put next set of values value of x  as 25 copies , value of  y should come as $5.

y = (1/5) 25

y = 5

As we can see that $5 is the value when put x as 25.

Thus our equation y = (1/5) x is correct one.

The equation that represents this direct variation is \(5x = y\) and this can be determined by forming the linear equation.

Given :

The following steps can be used in order to determine the equation that represents this direct variation:

Step 1 - The linear equation can be formed in order to determine the direct variation.

Step 2 - Let 'x' be the number 1, 2, 3,...so on.

Step 2 - So, the linear equation that represents the given situation is:

\(5x = y\)

where '5x' is the total number of copies and 'y' is the total price.

Step 4 - The value of x and y are the same.

So, the equation that represents this direct variation is \(5x = y\).

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Answer:

0.7851

Step-by-step explanation:

Given the data :

First Score

860

980

1200

1040

1100

1200

1180

Second Score

940

1000

1240

1050

1260

1140

1100

Using an online regression calculator, we can obtain the correlation :

The correlation Coefficient r obtained is : 0.7851.

This value of r obtained signifies a strong positive correlation between the first and second score.

Answer:

Temperature difference: 14.70°F

Step-by-step explanation:

Since the temperature decreased from 71.50°F to 56.80°F, we could determine the temeprature difference by subtracting the given temperatures:

71.50°F - 56.80°F = 14.70°F

Therefore, the temperature decreased by 14.70°F overnight.

The rational function ƒ(x) that represents the average price per minute x years after 1998 is given by ƒ(x) = g(x) / h(x), where g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138.

To calculate the average price per minute x years after 1998, we need to find the ratio between the average monthly bill (g(x)) and the average number of minutes used (h(x)). Therefore, the rational function ƒ(x) is defined as ƒ(x) = g(x) / h(x).

Given that g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138, we can substitute these expressions into the rational function to obtain the final formula: ƒ(x) = (-0.27x³ + 1.40x² + 1.05x + 39.4) / (-8.25x³ + 53.1x² - 7.82x + 138).

This rational function represents the average price per minute x years after 1998 based on the given average monthly bill and average number of minutes used by U.S. mobile phone users. By plugging in different values for x, you can evaluate the function and obtain the corresponding average price per minute for each year.

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To calculate the total purchase price, we need to add up the prices of the items and then calculate the sales tax. Let's perform the calculations step by step.

Step 1: Calculate the subtotal by adding the prices of the items.

Subtotal = $32.97 + $9.95 + $18.50 = $61.42

Step 2: Calculate the sales tax by multiplying the subtotal by the tax rate.

Sales Tax = 4% of $61.42 = 0.04 * $61.42 = $2.45768 (rounded to two decimal places) ≈ $2.46

Step 3: Calculate the total purchase price by adding the subtotal and the sales tax.

Total Purchase Price = Subtotal + Sales Tax = $61.42 + $2.46 = $63.88

Therefore, the total purchase price for Lester Gordon is $63.88.

Answer:

Use a Calculator

Step-by-step explanation:

You have on on you phone

If, we invested $2,800 at a 6% annual interest rate. We will have $2972.70 in 1 year and $3063 in 1.5 year of time.

In the fields of finance and economics, interest is defined as the payment of a sum over and above the principal amount (the amount borrowed) at a set rate by a borrower or deposit-taking financial institution to a lender or depositor. It is different from a fee that the borrower may pay to the lender or another entity. It also differs from a dividend, which is money given to shareholders (owners) by a company from its profit or reserve, but not at a set rate predetermined beforehand, but rather on a pro rata basis as a portion of the rewards received by risk-taking businesspeople when revenue is earned that exceeds all costs.

Calculations:

The Future value= fv= Pv x \((1+r/m)^{mt}\)

R= Rate per period

mt= years x compounding

The Future value in 1 year= 2800x\((1+0.06/12)^{1x12}\)

                                   = $2972.70

The Future value in 1.5 years=2800x\((1+0.06/12)^{1.5x12}\)

                                       = $3063.00

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Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

There are 40 people on the team. Each van has 8 number of people, so 5 vans multiplied by 8 people each equals 40 people.

A sports team is divided equally into five vans. Each van has eight people in it. To determine the total number of people on the team, begin by counting the number of people in each van. Since each van has eight people, multiply 8 people by 5 vans to get the total number of people on the team. 8 x 5 = 40. Therefore, there are 40 people on the team. To check the answer, count the total number of people in the five vans. 8 people in each van multiplied by 5 vans equals 40 people. This confirms the answer that there are 40 people on the team.

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The unit price of the 80-ounce bottle of ketchup is $0.85 per 8 ounces.

To calculate the unit price of a product, we divide the total price by the quantity. In this case, the total price is $8.50 for an 80-ounce bottle of ketchup.

Unit price = Total price / Quantity

Unit price = $8.50 / 80 ounces

Unit price = $0.85 / 8 ounces

Therefore, the unit price of the 80-ounce bottle of ketchup is $0.85 per 8 ounces.

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The relationship between the balance in the phone and the number of  

minutes of talking is a linear relationship.

Reasons:

First question

Initial balance in Julie's phone = $40

The balance after talking for 5 minutes = $39.25

Her balance after talking for 30 minutes = $34.75

Required:

Her balance after she has talked for 75 minutes

Solution:

\(The \ rate \ of \ change \ of \ her \ balance =\dfrac{34.75 - 39.25}{35 - 5 } = -0.15\)

Therefore, the rate of change of her balance with time = -0.15 Dollars/minute

The equation for her balance is; y - 39.25 = -0.15 × (x - 5)

y = -0.15·x + 0.75 + 39.25 = -0.15·x + 40

y = 40 - 0.15·x

When x = 75, y = 40 - 0.15×75 = 28.75

Second question:

The amount charged for paint = $90

Number of hours to paint the bedroom = 1 hour

Cost to paint the bedroom = $125

Number of hours to paint the kitchen = 4 hour

Cost to paint the kitchen  = $230

The cost to paint per hour is therefore;

\(Cost \ per \ hour =\dfrac{230- 125}{4 - 1 } = 35\)

The cost to paint per hour = $35 /hour

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Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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