Find the unit rate:
Sandra picked 55 oranges in 5 minutes.

How many did she pick in one minute?

It should take approximately 1.98 hours, or around 1 hour and 59 minutes, to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

To calculate the cooking time for a 5.17 pound roast, we can use the recommended guideline of 23 minutes per pound. First, we need to convert the weight from pounds to minutes, and then convert minutes to hours.

Cooking time in minutes = 5.17 pounds * 23 minutes/pound

Cooking time in minutes = 118.91 minutes

To convert minutes to hours, we divide the total minutes by 60:

Cooking time in hours = 118.91 minutes / 60

Cooking time in hours ≈ 1.98 hours

Therefore, it should take approximately 1.98 hours to cook a 5.17 pound beef rib roast based on the recommended guideline of 23 minutes per pound at a 325°F oven setting.

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Answer:

Step-by-step explanation:

Combined, it is option C.  {x | x < -4 or x > 4}

The first step is the parenthesis

The equation is given as:

8(2x+4) = 2(1x+3)

Using PEMDAS, the first step is to open the brackets by multiplication.

So, we have:

16x + 32 = 2x + 6

Hence, the first step is the parenthesis

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Answer: r>13

Step-by-step explanation:

The sign is less than so r +8 has to be 20 or less.

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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Answer:

Vertex: (-2, 2)

Step-by-step explanation:

The x-coordinate of the vertex would be as follows;

x = -b/2a = 8/2(-2) = -8/4 = -2

respectively the y-coordinate of the vertex would be y(-2) = -2(-2)^2 - 8(-2) - 6 = -2(4) + 16 - 6 = - 8 + 10 = 2

Your vertex would be a maximum of (-2, 2)

* I say maximum as the coefficient of x^2 is -2, and it is less than zero so the parabola opens downward

The resulting matrix A is nondiagonal since it is the zero matrix. It is diagonalizable since it can be written as \(A = PDP^(-1),\) with P and D as specified. However, it is not invertible as it has a zero determinant.

To construct a nondiagonal 2x2 matrix that is diagonalizable but not invertible, we can start with a diagonal matrix and then apply a similarity transformation.

Consider the diagonal matrix D = [0, 1; 0, 0]. This matrix is not invertible since it has a zero determinant.

Now, let \(A = PDP^(-1)\), where P is a nonsingular matrix. We can choose P as a matrix with distinct eigenvalues on its diagonal. For simplicity, let's choose P = [1, 1; 1, 2]. To calculate P^(-1), we can find the inverse of P.

P^(-1) = 1/(12 - 11) * [2, -1; -1, 1] = [2, -1; -1, 1].

Now, we can calculate A:

\(A = PDP^(-1)\)

= [1, 1; 1, 2] * [0, 1; 0, 0] * [2, -1; -1, 1]

= [1, 1; 1, 2] * [0, 0; 0, 0]

= [0, 0; 0, 0].

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The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).

There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.

Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.

Since there are 52 cards in a deck, the total number of possible outcomes is 52.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13

Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

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Answer:

Let's call x the number of hours spent on the job.

Cheap car shop charges a total (we'll call it T) equal to 77+31x.

Best Repair in Town charges 150.

The sistem is:

T=77+31x

T=150

Solving it you can find the number of hours x that would take Cheap Car Shop to do the job and have a pay equal to the one of Best Repair in town. Under x, Cheap car shop is more convenient, over x, Best Repair in town is more convenient.

Answer:

100 and 101

Step-by-step explanation:

its just a 1 number different

Answer:

100 and 101

Step-by-step explanation:

its literally only a 1 number difference

Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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There are 55 ways to form a train consisting of tank cars, boxcars, and flatcars by using concept of combinations.

If there are t tank cars, b boxcars, and f flatcars in the train yard, then the number of ways to form a train by selecting some of these cars is the same as the number of ways to distribute n = t + b + f identical objects into three distinct boxes, such that each box may receive any number of objects (including zero). The solution is given by the combination formula:

C(n + k - 1, k - 1)

where k is the number of boxes (in this case, k = 3). Therefore, the number of ways to form a train from t tank cars, b boxcars, and f flatcars is:

C(t + b + f + 3 - 1, 3 - 1) = C(t + b + f + 2, 2) = (t + b + f + 2)! / ((t + b + f)! * 2!)

There are 4 tank cars, 3 boxcars, and 2 flatcars in the train yard, then the number of ways to form a train is:

C(4 + 3 + 2 + 2, 2) = C(11, 2) = 55

Therefore, there are 55 ways to form a train consisting of tank cars, boxcars, and flatcars

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The point-slope form of a line is:

y = mx + b

where m is the slope and b is the y-intercept

Replacing with point (1, -8) and m= -9, we get:

-8 = (-9)(1) + b

-8 = -9 + b

-8 + 9 = b

1 = b

Then, the equation is:

y = -9x + 1

Answer:

find the area

Step-by-step explanation:

25+10=35 so the answer to the other side is i think you devide 35 by 5  which is 7 i think the answer is 7

Answer:

2

Step-by-step explanation:

just set it up like a fraction and equal them to each other with 5 over x and 25 over 10. then solve for x

The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.

To determine the correct answer, let's analyze the given information.

We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.

Given:

P(D) = 0.6

P(D and E) = 0.18

Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:

P(D and E) = P(D) * P(E)

Substituting the given values:

0.18 = 0.6 * P(E)

To find the value of P(E), we can rearrange the equation:

P(E) = 0.18 / 0.6

P(E) = 0.3

Therefore, the correct answer is A. P(E) = 0.3.

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Answer:

Fill the gaps in this sequence:

25 36 49 64 81 100

This sequence is the numbers 5, 6, 7, 8, 9, and 10 squared.

Work out the cube root of 343, then square it.

49

Since 7 cubed equals 343, then 7 squared is 49.

When you subtract one square number from another the answer is 7.

What are the two square numbers?

16 and 9

These are the only squares that fit the criteria.

Write down a number you can square to give an answer bigger than 200 but smaller than 300.

15, 16, 17

All of those answers work. 15² is 225, 16² is 256, and 17² is 289. You can choose any of them to enter in and it should work.

Answer:

7

Step-by-step explanation:

Answer:

y= -2x + 5

Step-by-step explanation:

Parallel equations share the same slope so, you need to take the x coordinate and multiply it by the slope which is -2, and you should get 0. To get from 0 to 5 we need to add 5, so 5 is your y-intercept.

The expression representing the prism's width is 4x² + 15x - 28.

Volume = Length x Width x Height

Plugging in the known values, we get the following equation:

20x³ + 75x² -10x - 140 = (4x + 7) x Width x 5

We can then solve for the width as follows:

Width = (20x³ + 75x² - 10x - 140) / (5(4x + 7))

Width = 4x² + 15x - 28

Therefore, the expression representing the prism's width is 4x² + 15x - 28.

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A federal study reported that 7.5% of the u.s. workforce has a drug problem

a-1. You would expect 1.5 of the 20 employed workers in the sample to have a drug problem.

a-2. The standard deviation for this problem would be 1.1180.

b. The likelihood that none of the workers sampled has a drug problem is 0.3679.

c. The likelihood that at least one of the workers sampled has a drug problem is 1 - 0.3679 = 0.6321.

Using drugs may result in dependency and addiction, as well as physical and mental health concerns, difficulties sleeping, and other negative outcomes. Your usage of drugs has an effect not just on you but also on the people around you.

a-1. It is reasonable to anticipate that 1.5 of the 20 employed people in the sample will have a problem with drugs.

a-2: The value of 1.1180 would be used to represent the standard deviation for this situation.

a. The probability that any of the employees who were surveyed struggle with substance abuse is 0.3679.

c. The probability that at least one of the employees who have sampled struggles with substance abuse is 1 less than 0.3679, which equals 0.6321.

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Answer:

\(2 \sqrt{3} \)

10 · 4 · 12 · 9 = 4320

There are 4320 choices

The total number of ways Sebastian can print different sweatshirt designs is given by P = 4,320 ways

A permutation is an ordered arrangement.

The number of ordered arrangements of r objects taken from n unlike objects is:

Permutation ⁿPr = n! / ( n - r )!

Given data ,

Let the number of ways Sebastian can print different sweatshirt designs be represented as P

And , the permutation will be

Now , the number of colors = 10 colors

The number of patterns = 4 patterns

The number of fonts = 12 fonts

The number of images = 9 images

So , number of ways Sebastian can print different sweatshirt designs P is

P = 10 x 4 x 12 x 9

P = 4,320 ways

Hence , the number of ways is 4,320 ways

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Answer:

0.23333333333

Step-by-step explanation:

Answer:

7/30

Step-by-step explanation:

first make them both have common denominator

9/10= 27/30

2/3=20/30

they both go into 30 then subtract 27/30 and 20/30

Answer:

0.5

Step-by-step explanation:

we know , cos(90-α)=sinα

Given:sin(x)=0.5

So, cos(90-x)=sin(x)

                         =0.5

Therefore, cos(90-x)=0.5

For any distribution, the z-score corresponding to the mean is 0. Therefore, the correct option is A. 0.

A z-score is a standard score that measures the distance between a raw score and the mean in units of standard deviation. It determines how far away from the mean a particular score is expressed in standard deviations. A z-score is a way of comparing scores from different datasets by standardizing them, making it possible to compare apples to apples when comparing two or more groups.

Because the mean of any distribution is always zero, the z-score of the mean is always 0.

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Answer:

2.30

Step-by-step explanation:

First, we convert 1/2% to a decimal.

Similarly:

The probability distribution of the data is given below:

  xi                                    p(xi)

Vanilla                     10/30 = 0.3333

Chocolate               10/30 = 0.3333

Strawberry              10/30 = 0.3333

Given that there are 30 children and 3 flavors of ice cream (strawberry, chocolate, and vanilla), we may construct a data set under the assumption that the children's preferences are evenly distributed. This indicates that each youngster has an equal chance of selecting any flavor of ice cream.

The distribution is uniform if and only if each probability value is the same:

30 kids / 3 flavors = 10 kids per flavor

Then, we can construct a uniform probability distribution if each ice cream flavor is ten times chosen, therefore, the searched data set is:

Ice cream flavor                Number of kids

Vanilla                                           10

Chocolate                                     10

Strawberry                                    10

Probability Distribution:

  xi                                    p(xi)

Vanilla                     10/30 = 0.3333

Chocolate               10/30 = 0.3333

Strawberry              10/30 = 0.3333

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Answer:

dez nuts

Step-by-step explanation:

ha gotem