Judy studied for 7/12 of an hour and her sister studied for 2/3 of an hour about how much time did they spend studying all together

Answer:

Step-by-step explanation:

Here's the table!

1 Kilobyte = 1,024 Bytes

1 Megabyte = 1,024 Kilobytes

1 Gigabyte = 1,024 Megabytes

1 Terabyte = 1,024 Gigabytes

From this we can see that there are

Answer:

see the graph below

Step-by-step explanation:

Answer:

it would take her 100 minutes to paint 12 sections.

Step-by-step explanation:

3 =25 minutes

3 x 4 = 12

25 x 4 = 100

Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

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The angle it makes with the positive x axis in the xy plane is 61.3145 degrees.

In this question,

A normal vector to the plane is any vector that starts at a point in the plane and has a direction that is orthogonal (perpendicular) to the surface of the xy plane .

The magnitude of the xy plane, hypotenuse = 25 units

The x component of the xy plane, base = 12 units

Let θ be an angle, then the angle it makes with the positive x axis is

\(\theta = cos^{-1}(\frac{base}{hypotenuse} )\)

⇒ \(\theta = cos^{-1}(\frac{12}{25} )\)

⇒ \(\theta = cos^{-1}(0.48)\)

⇒ \(\theta = 61.3145\)

Hence we can conclude that the angle it makes with the positive x axis in the xy plane is 61.3145 degrees.

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The least-squares regression line for the data is ŷ = x + 1

The least-squares regression line for the given data can be expressed in the form:

ŷ = bx + a

where ŷ = the predicted values of the response variable (final grade),

x=  the explanatory variable (number of absences),

b and a = the regression coefficients.

From the information we have given, the equation for the least-squares regression line is:

ŷ = x + 1

The regression coefficient, b, is 1, and the intercept, a, is 1 respectively.

In conclusion, the least-squares regression line is a line that best fits the given data points and is found  by minimizing the sum of the squared differences between the observed values of the response variable and the predicted values from the regression line.

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Answer: A solution to an equation is a number that can be plugged in for the variable to make a true number statement. Example 1: Substituting 2 for x in.

Step-by-step explanation:

,11

Step-by-step explanation:

let's face it.

100-45=55. 55/5=11

therefore,The maxium number is 11

Over a period of 1.5 hours, a continuous IV infusion at a rate of 15 gtt/min (with a drop factor of 10 gtt/ml) will result in 135 milliliters being infused.

To calculate the number of milliliters that will infuse over 1.5 hours, we need to convert the infusion rate from drops per minute to milliliters per hour.

Infusion rate: 15 gtt/min

Drop factor: 10 gtt/ml

First, we can calculate the infusion rate in milliliters per minute:

Infusion rate (ml/min) = Infusion rate (gtt/min) / Drop factor (gtt/ml)

Infusion rate (ml/min) = 15 gtt/min / 10 gtt/ml = 1.5 ml/min

Next, we can convert the infusion rate to milliliters per hour:

Infusion rate (ml/hour) = Infusion rate (ml/min) × 60 min/hour

Infusion rate (ml/hour) = 1.5 ml/min × 60 min/hour = 90 ml/hour

Finally, we can calculate the total volume that will infuse over 1.5 hours:

Volume (ml) = Infusion rate (ml/hour) × Time (hours)

Volume (ml) = 90 ml/hour × 1.5 hours = 135 ml

Therefore, 135 milliliters will infuse over 1.5 hours.

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Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:

1km = 6 minutes

42.195km = ?

42.195 × 6 = 253 minutes 17 seconds = 4 hours 21 minutes 17 seconds.

Answer:

4 hours 21 minutes 17 seconds.

Step-by-step explanation:

Answer:

the slope is -7

.

Step-by-step explanation:

-13-(-8)/-3-(-4) is -7/1. which is also -7

Answer: B = B ∈ {70° + n*360° I n ∈ Z  } where Z is the set of the integer numbers.

Step-by-step explanation:

If we have an angle A, the other angles that have the same terminal arm than A can be written as:

B = A + n*360°

Here B is a "coterminal" angle to A. (they have the same terminal side)

where n can be any integer number (if n = 0 we have A = B, which is trivial, this means that any angle can be coterminal with itself.)

So we can write the set as:

B = B ∈ {70° + n*360° I n ∈ Z  }

The set of angles that has the same terminal arm as 70 degrees is B = B ∈ {70° + n*360°, n ∈ Z}.

We have to determine, which set of angles has the same terminal arm as 70 degrees.

According to the question,

Let, The angle A and other angle B that have the same terminal arm as A can be written as,

B  = A + n × 360°

Where the value of angle A is 70 degrees.

B is the coterminal angle, and they have the same terminal,

And n is the number of integers.

Substitute the value of A in the equation,

B  = 70 + n × 360°

Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.

Since the value of n is equal to 0 then A = B,

Therefore, The angles coterminal with itself is called trivial.

Hence, The set of angles that has the same terminal arm as 70 degrees is B = B ∈ {70° + n*360°, n ∈ Z}.

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Answer:

A. 63

Step-by-step explanation:

Given functions:

    f(x) = 2x² + 5

    g(x) = 8 + x

find:

g o f(-5)

Solution:

Start first by finding f(-5);

       f(x) = 2x² + 5

              = 2(-5)² + 5

              = 50 + 5

              = 55

Now

g o f(-5);

     g(55) = 8 + 55 = 63

Answer:

c'est une pyramide régulière à base carrée de35.4 m de large et de 21.6 m de haut. calculer l'inclinaison d'une face par rapport à l'horizontale. ... dans le triangle rectangle SHA: tg SAH = 21,6/17,7 donc l'angle SAH = 50,66° ...

Step-by-step explanation:

Answer:

a. 3:45 a.m. = 3:345

b. 9:16 a.m. = 9:16

c. 12 ( midnight ) = 00:00

d. 12 ( noon ) = 12:00

Answer:

when are you going to insert file?

Answer:

y= -1/3x-6

Step-by-step explanation:

The slope is rise over run

The y-intercept is the point where the line crosses the y-axis.

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Answer: y=.25x-6

Step-by-step explanation: find the slope with \(m=\frac{y2-y1}{x2-x1}\) and make it \(m=\frac{-6+7}{0-4} =1/4\) or .25

then, convert to y=mx+b form which would be \(y=\frac{1}{4}x-6\) or \(y=.25x-6\)

b standing for y intercept and m standing for slope.

The given problem involves Simple Single Server queuing model.In the given problem, a vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour (Poisson distributed).

The operating characteristics of this system can be determined by using the following formulas:Average Number of Customers in the System, L = λWwhere, λ= Average arrival rateW= Average waiting timeAverage Waiting Time in the System, W = L/ λProbability of Zero Customers in the System, P0 = 1 - λ/μwhere, μ= Service rateThe given problem can be solved as follows:Given that, λ = 60 per hourSo, the average arrival rate is λ = 60/hour. We know that the exponential distribution (which is a Poisson process) governs the time between arrivals. Therefore, the mean time between arrivals is 1/λ = 1/60 hours. Therefore, the rate of customer arrivals can be calculated as:μ = 1/20 secondsTherefore, the rate of service is μ = 3/hour.

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To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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Answer:

63 coins

Step-by-step explanation:

I am going to assume you are asking how many dollar coins are in the bag, I apologize if I am wrong.

So first, set up the problem. The total number is 517.6 and each coin weighs 8.1

So you would divide 517.6 by 8.1 to get 63.9012346 (which has too many decimal points so round)

But rounding up would get the wrong number because it would be too light for the amount of coins said to be in there, but rounding down gives you 63.

So 63 times 8.1 is 510.3 and the total could consider the weight of the bag into the total 517.6.

Answer:

28.235

Step-by-step explanation:

10/34 = x/96

960= 34x

960/34= x

x= 28.235

Answer:

y=1.5x+2.5 ,

y=32x+52 ,

y=32x+2.5 ,

or

y=1.5x+52

The equation in slope-intercept form to model the cooking time in minutes, y, for x patties is y = (3/2)x + 1.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given,  On a box of chicken patties state that one patty should be cooked for 2.5 minutes in the microwave.

If more than one patty is cooked, an additional 1.5 minutes should be added per patty.

So,  The equation in slope-intercept form to model the cooking time in minutes, y, for x patties.

If we write this as y = 1.5x + 2.5 and put x = 0 , y = 2.5 which is not satisfying the given statement.

∴ y  = 1.5x + (2.5 - 1.5). (the additional patty cooking time).

y = 1.5x + 1.

y = (3/2)x + 1.

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Answer:

The cost of orange juice is $3 per jug

Step-by-step explanation:

A unit rate is a rate where the second quantity is one unit.

Using the percentage-of-credit-sales method, Lindsey Corp. would report a bad debt expense of $40,000 for the year, assuming their total credit sales were $500,000 and they estimated 8% of those sales to be uncollectible.

Lindsey Corp. uses the percentage-of-credit-sales method to estimate their bad debt expense. According to their estimation, 8% of their credit sales are anticipated to be uncollectible. To calculate the bad debt expense for the year, Lindsey Corp. would follow these steps:

Multiply the total credit sales by the estimated percentage of uncollectible sales,

Next, Lindsey Corp. would multiply the total credit sales by the estimated percentage of uncollectible sales (8% in this case). This calculation gives us the anticipated amount of credit sales that are expected to become bad debts.

Mathematically, the formula would be:

Bad Debt Expense = Total Credit Sales * Percentage of Uncollectible Sales

If Lindsey Corp. had $500,000 in total credit sales for the year, the calculation would be:

Bad Debt Expense = $500,000 * 0.08 = $40,000

Finally, Lindsey Corp. would report the calculated amount as their bad debt expense for the year. This expense is recorded on the income statement to reflect the potential loss from uncollectible credit sales.

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