Use the Pareto chart to tell the percent of students that enrolled in a private 4 year college.

If a quadrilateral is a parallelogram, then its opposite sides are congruent therefore:

Using the distance formula:

Step 2:

The diagonals are given by:

The most appropriate choice for speed will be given by-

Speed of the flying carpet is 15.2 mph

What is speed?

The distance travelled by the body per unit time is called speed of the body.

If d is the distance travelled by the body and t is the time taken, then

speed = [tex]\frac{d}{t}[/tex]

Speed is a scalar quantity as the direction is not taken into account.

Here,

Let the speed of the flying carpet be [tex]x[/tex] miles

A flying carpet flies 2.4 miles with the wind

Time taken flying with the wind = [tex]\frac{2.4}{x +4}[/tex]

The flying carpet flies 1.4 miles against the wind

Time taken flying against the wind = [tex]\frac{1.4}{x - 4}[/tex]

By the problem,

                         [tex]\frac{2.4}{x +4} = \frac{1.4}{x-4}[/tex]  

                         [tex]2.4(x - 4) = 1.4(x + 4)\\2.4 x - 9.6 = 1.4 x + 5.6\\2.4 x - 1.4 x = 9.6 + 5.6\\[/tex]

                          [tex]x = 15.2[/tex] mph

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The first error Rafael made was that he made six arcs instead of taking the perpendicular bisector of the diameter and then making 4 arcs.

A square is constructed first by taking the perpendicular bisector of the diameter and making the four arcs and then joining them to make the square.

It will cost $348.7 to buy fencing to go around the rectangular garden.

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Answer:

Choice E and F

Step-by-step explanation:

acute = less than 90

The time it would take Mowgli from the home to the beach and from the beach to the home on foot is 48 minutes.

Based on the assumption that the average speed that Mowgli travels from the home to the beach and from the beach to the home is constant, the time it takes from the home to the beach and from the beach to the home should be equal.

Time from the home to the beach = 32 /2 = 16 minutes

The time it took Mowgli to walk from the home to the beach = 40 - 16 = 24 minutes

Time it would take Mowgli to travel from the home to the beach and from the beach to the home = 24 x 2 =48 minutes

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Step-by-step explanation:

answer is 8

detail is in the picture

Given:

The objective is to find hte value of x.

The value of x can be calculated by basic proportionality theorem.

Thus, the required equation is obtained.

The value of x is,

Hence, the value of x is 10.5

Answer:

9 is the answer

Answer: 9 cubes

Step-by-step explanation:

9 * 9 is 81 which makes the floor of it

since its a cube, we multiply 81 by 9, giving 729

Point C is between points A and B, this point divides the line AB into two segments:

One segment goes from point A to point C and can be named line segment AC

The second segment goes from point C to point B and can be named line segment CB

The correct option is the third one AC,CB

Answer: 8 inches

Step-by-step explanation:

1) Set up the equation

If you know both sides of the triangle are 6 inches you can set a Pythagorean equation. C is the hypotenuse

[tex]6^2+6^2=c^2\\36+36=c^2\\72=c^2\\\sqrt{72} = \sqrt{c^2} \\8.485 = c[/tex]

2) Rounding

After you found 8.485, the tenth place is less the 5, so it will round down to 8 inches.

The answer is 8 inches

The correlation coefficient of the data provided is -0.52.

Correlation is a measure that is used in statistics to determine the linear relationship that exists between two variables. Correlation can be positive, negative or zero.

Positive correlation is when two variables move in the same direction. Negative correlation is when two variables move in opposite directions. Zero correlation is when there is no relationship between the variables.

Correlation can be determined using a financial calculator. When the financial calculator is used, the correlation coefficient is -0.52

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Answer:

29,378 people

Step-by-step explanation:

[tex]28337 \times {1.0121}^{3} = 29378[/tex]

Answer: it would be D because m∠NSO+m∠OSL+m∠LSM+m∠MSN=360°  

and m∠LSM+m∠SML+m∠MLS≠360° doesnt equal 360 degrees so that one is wrong ∠LSM≅∠NSM is a false statement same with m∠LSO+m∠MSO=180° its false so it would be (D)

hope i helped

Step-by-step explanation:

A nail's length in x weeks of m=0.7 slope with a growth rate of mm per week b starting length follows.

The slope-intercept form of a straight-line equation is indicated by y = mx + b. X and y denote the line's distance from the x- and y-axes, respectively. When x = 0, the value of b equals y, and m indicates how steep the line is.

Given, r(0) = 12

According to the question, fingernail increases by 0.7 millimeters every week. So, m = 0.7 which is the slope of the equation of a straight line.

r(0) = 12 is the b of the y = mx + b.

Now, the final equation is:

r(x) = 0.7x + 12

As a result, the slope of r(x) length of a nail in x number of weeks of m=0.7, with growth rate in mm per week b starting length.

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The probability that a randomly selected person in the country enjoys cooking or shopping or both will be;

⇒ P (C ∪ S) = 0.76

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

48% of people in a certain country like to cook.

And, 54% of people in the country like to shop, while 26% enjoy both activities.

Now,

Probability to like the cook P (C) = 48%

Probability to like the shop P (S) = 54%

Probability to like the both activity P (C∩S) = 26%

So, Probability to like the both activity P (C ∪ S) is calculated as;

P (C ∪ S) = P (C) + P (S) - P (C ∩ S)

P (C ∪ S) = 48% + 54% - 26%

P (C ∪ S) = 102% - 26%

P (C ∪ S) = 76%

P (C ∪ S) = 0.76

Thus, The probability that a randomly selected person in the country enjoys cooking or shopping or both will be;

⇒ P (C ∪ S) = 0.76

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Answer:

1.50t + 3 < 9

Step-by-step explanation:

each taki is $1.50

each Gatorade is $3 and he only bought one so its $3.

total cost of taking and Gatorade is less than $9

Answer:

1.50t + 3 < 9

Step-by-step explanation

each taki is $1.50

each Gatorade is $3 and he only bought one so its $3.

the total cost of taking and Gatorade is less than $9

Answer:

Explanation:

To complete the table, we need to replace each value of x and calculate the value of y.

So, if x = - 16, y is equal to:

If x = -8, y is equal to:

If x = 0, y is equal to:

If x = 8, y is equal to:

If x = 16, y is equal to:

So, the complete table is:

x y

-16 -8

-8 -5

0 -2

8 1

16 4

Finally, we can graph the table, so:

EXPLANATION

Given the sequence:

C. 3, 12, 27, 48, 75

First, we need to calculate the difference between terms:

12-3 = 9 27-12 = 15 48-27 = 21 75 - 28 = 27

Arithmetic relationship: 9, 15 , 21, 27

To obtain the sequence we use the following formula:

Now, we need to calculate the appropriate difference between terms:

15-9 = 6 21-25 = 6 27 - 21 = 6

So the constant difference is 6 and the nth term will be:

nth = 6n + 3

*a1=3

So, the relationship will be:

n Value Relationship

1 12 3 + (6*1 +3)

2 27 12 + (6*2 + 3)

3 48 27 + (6*3 + 3)

4 75 48 + (6*4 + 3)

5 108 75 + (6*5 + 3)

n n-1 + (6n+3) n-1 + (6n+3)

Explicit function: y = (n-1) + (6n+3)

Numerical expression: 30 - 10 - 7

In words: Elizabeth had $30, if she spent $10 to buy some pizza and $7 on a soda, how much money does she have left?

4.6

1) Since 3/4x = 3.45, then we can solve it for x

3/4x = 3.45 Multiply both sides by 4 to eliminate the fraction

3x =13.80 Divide both sides by 3

x= 4.6

2) So x is equal to 4.6, and that is the answer

The system of linear equations has one and only one solution.

x = 3 and y = 2.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

x - 3y = -3 _____(1)

4x + 3y = 18 ______(2)

We will solve the equation to check its solutions.

x - 3y = -3 can be written as:

x = -3 + 3y ____(3)

Putting in (2) we get,

4(-3 + 3y) + 3y = 18

-12 + 12y + 3y = 18

15y = 18 +12

15y = 30

y = 2

Putting in (3)

x = -3 + 3 x 2 = -3 + 6 = 3

x = 3

We see that,

x = 3 and y = 2

Putting in the equation it is satisfied.

x - 3y = -3

3 - 3 x 2 = -3

3 - 6 = -3

-3 = -3

4x + 3y = 18

4x3 + 3x2 = 18

12 + 6 = 18

18 = 18

Thus,

The system of linear equations has one and only one solution.

x = 3 and y = 2.

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The slope can be calculated as the quotient between the difference in the y-coordinates of two points, and the difference in the x-coordinates of the same two points.

We pick any 2 known points, like (0,2) and (5,4).

We calculate the slope as:

Answer:

The slope is m=2/5=0.4

The function that represents the cost function is c(x) = 75 + 0.25x

To find the cost function c(x), we have to write a linear equation or linear function to represent this.

The cost function can be expressed as a function of the number of copies made which can be represented as

[tex]c(x) = 75 + 0.25x[/tex]

The cost of printing x number of pages is c(x) = 75 + 0.25x

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Answer:

126.5 cm²

Step-by-step explanation:

Hello!

This shape can be split into a rectangle and a triangle.

The rectangle's dimensions are 8 and 11, and the base and height of the triangle are 11 and 7 respectively.

The combined area is 88 + 38.5 which is 126.5 cm².

The image of the rectangle ABCD translated 6 units to the right and 3 units up is shown below .

In the question ,

a rectangle is given

the vertex of the rectangle ABCD is given as

A(-10,-6) , B(-10,-2) , C(-6,-2) , D(-6,-6) .

On applying the translation 6 units to right and 3 units up ,

the rule is (x,y)→(x+6,y+3)

by applying the rule for the translation

we get image as

A'(-4,-3) ,B'(-4,+1) , C'(0,1) , D'(0,-3)

The image is plotted below .

Therefore , The image of the rectangle ABCD translated 6 units to the right and 3 units up is shown below .

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If  the weights (in pounds) of the gaskets in a batch are 0.58, 0.63, 0.65, 0.53, and 0.61. The gaskets  that should be thrown out is 0.53  and the inequality is: 0.54 ≤ w ≤ 0.66.

Using this formula to determine the mean

Mean = ∑x/n

Mean = 0.58 + 0.63 + 0.65 + 0.53 + 0.61 /5

Mean = 3/6

Mean = 0.6

Since the mean is 0.6 the gasket that are less than 0.53 and more than 0.66 (0.6±0.06) should be thrown out which in turn means that 0.53 should be thrown out.

Inequality :

0.54 ≤ w ≤ 0.66

Therefore 0.53 should be thrown out.

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Answer:

Explanation:

To complete the missing values, we have to evaluate the function at the x-values given.

For example, to find the number below x = -1, we will put in x = -1 into y = (1/6)^x.

Putting in x = - 1 in y = (1/6)^x gives

which simplifies to give

Similarly, for the missing value below x = -2, we put in x = - 2 into y = (1/6)^x to get

which simplifies to give

Similarly, for the missing value below x = 2, we put in x = 2 in y = (1/6)^x to get

which simplifies to give

Hence, the missing value to be put in is 36.

To summerise, the missing values are

x | -2

Using percentages, we can conclude that the total cost of the meal is approximately $33.

So, the total cost of the meal:

Sales tax on the bill: 9%

18% tip of the bill:

Total cost of meal: $27.5277 + $5 = $32.5277

Therefore, using percentages, we can conclude that the total cost of the meal is approximately $33.

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