A survey of statistics undergraduate at prosperity university completed a survey that asked for their verbal and math sat scores. They wanted to predict the verbal score based on the math score. The value of r-squared was 12. 78%. Interpret r-squared.

To find the minimum number of tacos and burritos Aubrey must sell, we can set up an inequality using the information given in the problem.

Let x be the number of tacos sold and y be the number of burritos sold.

We know that Aubrey only has enough supplies to make 100 tacos or burritos, so we have the constraint:

x + y ≤ 100

We also know that Aubrey must sell a minimum of $490 worth of tacos and burritos each day. The total revenue earned from selling x tacos and y burritos is:

Total revenue = 3.25x + 7y

So we have the inequality:

3.25x + 7y ≥ 490

We want to find the minimum values of x and y that satisfy these constraints.

One way to solve this problem is to graph the constraints and shade the feasible region, which is the region where both constraints are satisfied. The corner points of the feasible region represent the minimum and maximum values of the objective function (total revenue).

Alternatively, we can use linear programming techniques to solve this problem. The objective is to maximize the total revenue subject to the constraints:

Maximize 3.25x + 7y

Subject to x + y ≤ 100

and 3.25x + 7y ≥ 490

where x and y are non-negative integers.

The feasible region is a polygon with vertices (0, 70), (30, 70), (70, 30), and (100, 0).

We can evaluate the objective function at each corner point to find the minimum and maximum values of the total revenue:

(0, 70): 3.25(0) + 7(70) = $490

(30, 70): 3.25(30) + 7(70) = $720.50

(70, 30): 3.25(70) + 7(30) = $585

(100, 0): 3.25(100) + 7(0) = $325

Therefore, Aubrey must sell a minimum of 30 burritos and no tacos, or 70 tacos and no burritos, or any combination of tacos and burritos between these two extremes to meet her daily revenue goal of at least $490.

Answer:

Aubrey must sell a minimum of 30 burritos and no tacos, or 70 tacos and no burritos, or any combination of tacos and burritos between these two extremes to meet her daily revenue goal of at least $490.

Step-by-step explanation:

Hope I helped

Brainliest Please

The probability that a randomly selected x-value from the distribution is in the given interval is 68.27%.

The area under the normal curve is calculated using the cumulative normal distribution.

Step 1: Calculate z-score for lower boundary (25):

z = (25-28)/3

= -1

Step 2: Calculate z-score for upper boundary (31):

z = (31-28)/3

= 1

Step 3: Calculate the area under the normal curve between the two z-scores using the cumulative normal distribution:

Area = 0.6827

Step 4: Calculate the probability that a randomly selected x-value from the distribution is in the given interval:

Probability = Area

= 0.6827

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Answer:

y = 2x − 6

Step-by-step explanation:

Answer:

3 dollars

Step-by-step explanation:

20 dollars is his total

$20-2 dollar water bottle=18

18 dollars divided by 6 cupcakes equals 3 dollars for each cupcake.

According to the ratio 5:3 the skaters that were altogether are 48.

What is ratio?

Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.

The number of skaters who brought their own skates = 5

The number of skaters who rented their skates = 3

So, the ratio is 5:3.

The number of skaters who brought their own skates = 12

Now equating to get the number of total skaters -

12 x (5+3) / (5-3)

= 96 / 2

= 48

Therefore, the total number of skaters are 48.

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The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth.

1. The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth. These factors have led to numerous challenges, including increased traffic congestion, inadequate infrastructure, and strain on public services. The city's population is growing at a rapid pace, resulting in overcrowding, housing shortages, and environmental concerns.

2. To mitigate the present traffic jam situation in Dhaka City, a restructuring of the population can be pursued through various strategies. One approach is to promote decentralization by developing satellite towns or encouraging businesses and industries to establish themselves in other regions. This would help reduce the concentration of population and economic activities in the city center. Additionally, improving public transportation systems, including expanding the metro rail network, introducing dedicated bus lanes, and enhancing cycling and pedestrian infrastructure, can provide viable alternatives to private vehicles. Encouraging telecommuting and flexible work arrangements can also help reduce the number of daily commuters. Moreover, urban planning should focus on creating mixed-use neighborhoods with residential, commercial, and recreational spaces to minimize the need for long-distance travel.

By implementing these measures, the population of Dhaka City can be restructured in a way that reduces the strain on transportation systems, alleviates traffic congestion, and creates a more sustainable and livable urban environment.

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By AA similarity Triangle ABC and DEF are similar.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

First in Triangle ABC

using Angle Sum Property

<C= 180 - <A - <B

<C = 180 - 77 - 48

<C = 55 degree

and, In Triangle DEF

using Angle Sum Property

ND= 180- <E- <F

<D = 180- 55 - 48

<D = 77

As, In both Triangle ABC and DEF all angles triangles are Equal.

<A = <D= 77

<B = <E = 48

<C = <F= 55

So, by AA similarity Triangle  ABC and DEF are similar.

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The implementation of the `power` method that is called in a Java code snippet depends on the object being referred to when the method is called. In the given code snippet, the implementation of the `power` method called is provided by the `NaturalNumber2Override` class.

Based on the given code snippet, the implementation of the `power` method that will be called is the one provided by the `NaturalNumber2Override` class.

This is because the `j` variable is declared as type `NaturalNumber`, but it actually refers to an instance of the `NaturalNumber2Override` class. When a method is called on an object, Java looks for the implementation of that method in the class of the object being referred to, and if it's not found, in the parent classes or interfaces. In this case, the `NaturalNumber2Override` class overrides the `power` method of its parent class `NaturalNumber2`, so its implementation of the `power` method will be called.

Therefore, the answer is (c) NaturalNumber2Override.

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Answer:

Tyler can swim 1.5 miles per hour

Step-by-step explanation:

Answer:

See attachment

Step-by-step explanation:

In attached file.  Calculate values for the proposed functions and compare to the values given for h(x).

Answer:

its (D) to make it easy

Step-by-step explanation:

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

D because the line is not "dotted' and it's on the y intercept and not in the x-axis

Answer:

JL = 7

Step-by-step explanation:

If JK = 4, KL = 3x, and JL = 7x, what is JL? ​

From the diagram given in tbe question,

JK + KL = JL

4 + 3x = 7x

Collect like terms

4 = 7x - 3x

4 = 4x

4x = 4

x = 4/4

x = 1

Since JL from the diagram = 7x

Hence:

7 × 1 = 7

JL = 7

Writing the total surface area of North America, which is approximately 9,540,000 square miles in Scientific Notation, is 9.54 x 10^6.

Scientific notation is shorthand way of writing very large or very small numbers in a standard form.

A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

For instance, 9,540,000 square miles can be written in scientific notation as 9.54 x 10^6 square miles.

Thus, we can state that, in scientific notation, 9,540,000 square miles equal 9.54 x 10^6 square miles.

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Answer:

67.9375

Step-by-step explanation:

x+15=19

x=19-15=4

x^3-x^-2+16x^-1 = 4^3-4^-2+16(4)^-1=67.9375

Answer:

Answer is 67.9

Step-by-step explanation:

\({ \sf{x + 15 = 19}} \\ { \sf{x = 4}}\)

function of x:

\({ \bf{f(x) = {x}^{3} - {x}^{ - 2} + 16x {}^{ - 1} }} \\ { \sf{f(4) = {4}^{3} - (4) {}^{ - 2} + 16(4) {}^{ - 1} }} \\ { \sf{f(4) = 67.9}}\)

Answer:

2/3

Step-by-step explanation:

Probability =

= No. of faces having less than 5 spots / Total no. of faces

= 4/6

=2/3

The probability of a face with less than 5 spots turning up when it tosses a die which has 6 total outcomes is 2/3 or 0.667.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The probability of a face with less than 5 spots turning up when a die is tossed has to be find out.

Here, in this die, it is known that,

Thus, the probability of this event is,

\(P=\dfrac{4}{6}\\P=\dfrac{2}{3}\\P=0.667\)

Thus, the probability of a face with less than 5 spots turning up when it tosses a die which has 6 total outcomes is 2/3 or 0.667.

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Answer: 24

Step-by-step explanation:

30 divided by 10 to get 10 percent which is 3, multiply that by 2 to get 20 percent which is 6, 30 (100 percent) minus 6 (20 percent) equals 24

Dorothy should have received $45.84 in change.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

To find out how much change Dorothy should have received, we need to first calculate the total cost of the energy drink and the bag of chips:

Total cost = Cost of energy drink + Cost of the bag of chips

Total cost = $2.34 + $1.82

Total cost = $4.16

Next, we need to subtract the total cost from the amount paid by Dorothy to get the change:

Change = Amount paid - Total cost

Change = $50 - $4.16

Change = $45.84

Therefore, Dorothy should have received $45.84 in change.

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Answer:

( 1, 35 )

Step-by-step explanation:

y=mx+c

c= y-intercept ( where the graph line crosses the cross line)

c=0

mx = gradient ( rise/run, up/across )

mx = 175/5 ( you could have picked any point in the graph )

mx = 35

the m is useless now so we discard it

y= 35x+0

if x = 1

then y = 35(1)+0

y= 35

at the coordinate x=1 y is 35

Probability that customer buy parsley given buy any of two herb  

                =   0.5714

What is probability in math?

Parsley ( 0.4 , 0.6 )

buy  = B ∩ P = 0.08

Don't buy = DB ∩ P = 0.12

Cilantro = ( 0.15 , 0.85 )

buy  = B ∩ C = 0.06

Don't buy = DB ∩ C = 0.34

Don't buy anything = DB = 0.4

P( Buy anything ) = P(B∩P) + P( B ∩ C )

                          = 0.08 + 0.06 = 0.14

Now, P( P/B) = P( P ∩ B)/P(B)

                    = 0.08/0.14  = 4/7  = 0.5714

Hence, probability that customer buy parsley given buy any of two herb

                                          =   0.5714

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The solution to the given system of inequalities is the region below the line y = (-1/3)x - 1 and to the right of the vertical line x = 3.

To determine the region that represents the solution to the given system of inequalities, we need to graph the individual inequalities and identify the overlapping region.

Let's start with the first inequality: x + 3y < -3. To graph this inequality, we can first rewrite it in slope-intercept form:

3y < -x - 3

Next, isolate y by dividing both sides of the inequality by 3:

y < (-1/3)x - 1

This inequality represents a line with a slope of -1/3 and a y-intercept of -1. We can plot this line on a coordinate plane.

Next, let's graph the second inequality: x > 3. This inequality represents a vertical line passing through x = 3.

Now, we need to determine the overlapping region between the two graphs. Since we have a strict inequality (less than) for the first inequality, the region below the line represents the solution set.

Combining both graphs, we find that the solution to the given system of inequalities is the region that lies below the line y = (-1/3)x - 1 and to the right of the vertical line x = 3.

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The question probable may be:

[x+3y_< -3

[ X_>3

x + y >= 75, represents the constraint that the total number of flyers and posters printed by Nick.

What is inequality?

An inequality is a mathematical statement that compares two values and indicates the relative size of the values. Unlike an equation, which states that two values are equal, an inequality states that one value is greater than, less than, or not equal to another value.

The first inequality, x + y >= 75, represents the constraint that the total number of flyers and posters printed by Nick must be at least 75. The second inequality, 2.5x + 10.5y <= 800, represents the constraint that the total cost of printing the flyers and posters must be less than or equal to $800.

A solution to the system of inequalities represents a combination of values for x and y that satisfies both constraints. So, the point that represents a solution to the system is one that lies within the region defined by the two inequalities.

In this case, the point that satisfies both constraints is (x, y) = (75, 0). This point satisfies the first inequality because the total number of flyers and posters is at least 75, and it satisfies the second inequality because the total cost is equal to $800, which is less than or equal to the budget.

Hence,  x + y >= 75, represents the constraint that the total number of flyers and posters printed by Nick.

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Answer:

|x| = 25

Step-by-step explanation:

Original Equation:

|x - 4| = 21

Just add 4 to both sides

|x| = 25

Hope this helped :)

Answer:

the answer is 25 or -17

Answer:

\(y-1=5(x-8)\)

The correct option is B. The length of arc AB of the circle C rounded to the nearest tenth is 15.7cm.

We shall use the formula:

arc length = (arc angle/360) × 2 × 22/7 × radius

where arc angle is measured in degrees and radius is the distance from the center of the circle to the point on the circle where the arc begins.

If BC = 10cm and is the radius, with the arc angle m ∠ACB = 90° then the arc length AB is derived as follows:

(90°/360°) × 2 × 22/7 × 10cm

90°/360° can be reduced to 1/4

1/4 × 2 × 22/7 × 10cm

By simplifying further, we have;

1 × 11/7 × 10cm

110cm/7

15.71cm

Therefore, the circle C have the arc length AB equal to 15.7cm rounded up to the nearest tenth.

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