Jose has 27 carnival ride tickets and it takes 6 tickets to ride the roller coaster. How many times can he ride the coaster? How many tickets will he have left over?

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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Brackets are used for multiplication to expand and simplify an expression.

We must multiply out the brackets in order to extend and simplify an expression. The resulting phrase is then made simpler by grouping like terms together. Our method for removing brackets is known as expanding brackets or multiplying them out. Factorization is being done in reverse.

In some non-standard or informal contexts, such as with some programming languages or computer systems, brackets are employed as multiplication signs. When accessing items of an array or list in various programming languages, square brackets may also be used to denote multiplication in specific circumstances. As an example, the formula 2(3) instructs you to multiply 2 by 3 to generate the number 6.

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The product in scientific notation is 1.36 x 10^22

The product expression is given as:

3.2 x 1012 and 4.25 x 109

Express the product, properly

3.2 x 10^12 x 4.25 x 10^9

Regroup the factors

3.2  x 4.25 x 10^12 x 10^9

Evaluate the product

13.6 x 10^21

Rewrite as:

1.36 x 10^22

Hence, the product in scientific notation is 1.36 x 10^22

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Answer:

c 1.36 x 1012

explanation:

Fluorine and Chlorine.

Step-by-step explanation:

Answer:

4.29 , 4.49

Step-by-step explanation:

The final answers are as follows: Function f(x) is even.

Function g(x) is odd.

Function h(x) is neither even nor odd

To determine if a function is even, we check if f(x) = f(-x) for all x in the domain. Let's evaluate f(x) and f(-x) for the given function:

f(x) = \(x^{2}\) + 2\(x^{4}\)

f(-x) = \(-x^{2}\) + 2\(-x^{4}\)

Since f(x) = f(-x), the function is even.

Function: g(x) = \(x^{3}\) - x

To determine if a function is odd, we check if f(x) = -f(-x) for all x in the domain. Let's evaluate g(x) and -g(-x) for the given function:

g(x) = \(x^{3}\) - x

-g(-x) = -\(x^{3}\) - (-x) = -\(x^{3}\) + x

Since g(x) = -g(-x), the function is odd.

Function: h(x) = 2x + \(x^{2}\)

To determine if a function is even or odd, we need to satisfy the conditions mentioned above. Let's evaluate h(x) and h(-x) for the given function:

h(x) = 2x + \(x^{2}\)

h(-x) = 2(-x) + -\(x^{2}\) = -2x + \(x^{2}\)

Since h(x) is not equal to h(-x) or -h(-x), the function is neither even nor odd.

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The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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The tangent line to the parabola y = x² at the point (6, 36) is (0.141, 1.68)

The equation of the tangent line at the point (6, 36) can be found using the derivative of the function and the point-slope form of a line:

f(x) = x²

f'(x) = 2x

y = f'(x) * (x - 6) + 36

Substituting f'(x) = 2x,

y = 2x * (x - 6) + 36

Now, we can find a unit vector that is parallel to this line by finding a non-zero multiple of the direction vector of the line, which is (1, 2x), and normalizing it.

To normalize, we divide by the magnitude, which is sqrt(1^2 + (2x)^2) = sqrt(1 + 4x^2).

Let's use x = 6:

y = 2 * 6 * (x - 6) + 36

y = 72

So, the direction vector is (1, 12) and its magnitude is sqrt(1 + 144) = sqrt(145) = 7.07.

The unit vector that is parallel to the tangent line is (1/7.07, 12/7.07) = (0.141, 1.68).

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Answer:

shift it down by 4 units

Step-by-step explanation:

by the placement of the -4 it can be determined that you would shift it according to the y axis

The formula a(x-h)^2 + k = y

h represents change in x, k represents change in y

-k means shift down

Answer:

1 gallon.

Step-by-step explanation:

The quantity of brown paint is 8 gallons.

To get the shade of brown paint he desired, \(\frac 1 4\) gallon of white paint required to be mixed with 2 gallons of brown paint.

Here, Hamza wants  to lighten the 8 gallons of brown paint, so, by using the elementary method,

For 2 gallons of brown paint, he required \(\frac 1 4\) gallon of white paint.

So, for 1 gallon of brown paint, he required \(\frac 1 {4\times2}\) gallon of white paint.

Now, for 8 gallons of brown paint, he required \(\frac 1 {4\times2}\times 8=1\) gallon of white paint.

Hence, Hamza needs to buy 1 gallon of white paint to light the 8 gallons of brown paint.

Answer:

96 feet^3 (feet cubed)

Step-by-step explanation:

Volume is solved with the equation length*width*height, so in this case, 3*4=12 and 12*8=96.

Answer:

192

Step-by-step explanation:

3 times 4 is 24. 24 times 8 is 192

Answer: 114.24

Step-by-step explanation: 7(15)+6= 1053(15)= 45, now we plug it in the formula, so now we square root it= 114.24

Right angled triangle is formed by the points (3, 2), (-2, -3) and (2,3).

Let the given points be,

A = (3, 2), B = (-2, -3) and C = (2, 3)

The formula for the distance between two points:

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by \(D = $$\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}$$\).

Therefore,

A = \((x_{1} , y_{1} )\) = (3, 2), B = \((x_{2} , y_{2} )\) = (-2, -3)

\(& \mathrm{AB}=\sqrt{(3+2)^2+(2+3)^2}=\sqrt{50}=5 \sqrt{2}\)  units

B = \((x_{1} , y_{1} )\) = (-2, -3), C = \((x_{2} , y_{2} )\) = (2, 3)

\(& \mathrm{BC}=\sqrt{(-2-2)^2+(-3-3)^2}=\sqrt{52}=2 \sqrt{13}\)  units

A = \((x_{1} , y_{1} )\) = (3, 2), C = \((x_{2} , y_{2} )\) = (2, 3)

\(& \mathrm{AC}=\sqrt{(3-2)^2+(2-3)^2}=\sqrt{2}\)  units

By using the Pythagorean theorem:

According to Pythagoras's Theorem in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides.

Now, we can see that,

\(& (2 \sqrt{13})^2=(5 \sqrt{2})^2+(\sqrt{2})^2 \\\)

\(& \mathrm{BC}^2=\mathrm{AB}^2+\mathrm{AC}^2\)

Therefore, the given triangle is a right angled triangle.

Therefore, option(A) s correct.

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What type of triangle do the points (3, 2), (-2, -3) and (2,3) form a triangle? If so, name the type.

A. right triangle

B. equilateral triangle

C. isosceles triangle

D. none of these

Answer:

$54

Step-by-step explanation:

4 x 8 = 32

32 x 2 = 64 = $54

Answer: $64.. I believe.

Step-by-step explanation:

4*8=32m^2

32*$2.00=64

Answer:

(6) the letter n : intersection which means the number you will find at the first bracket and has the same number at the other bracket

Answer:

-7

Step-by-step explanation:

To find this out we just place -3 where x is

f(-3)=4(-3)+5

f(-3)= -12+5

f(-3)= -7

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

Solve 3-4 and (1⁄2)-2

3 - 4, 4 is greater than 3, so the result is negative (-1)

3 - 4 = -1

-----------------

1/2 is equal to 0.5, also here 2 is larger and we will have a negative result (-1.5 or -3/2)

1/2 - 2 =

0.5 - 2 = -1.5 or -3/2

Answer and Step-by-step explanation:

To find the value of x, we must add together the two angles, and equal it to 180.

7x + x + 20 = 180

8x + 20 = 180

Subtract 20 from both sides.

8x = 160

Now divide each side by 8.

x = 20

We get the result to be 20 = x.

#teamtrees #PAW (Plant And Water)

Answer:

10

Step-by-step explanation:

Simple addition problem-

5 + 5 = 10

Fast fact everyone should memorize

Answer:

10

Step-by-step explanation:

common knowledge

Answer:

-4 =x

Step-by-step explanation:

2x + 9(x – 1) = 8(2x + 2) – 5

Distribute

2x +9x -9 = 16x+16 -5

Combine like terms

11x-9 = 16x +11

Subtract 11x from each side

11x-9-11x = 16x-11x+11

-9 = 5x+11

Subtract 11 from each side

-9-11 = 5x+11-11

-20 = 5x

Divide by 5

-20/5 = 5x/5

-4 =x

Answer:

A. y= cos x - 1

Step-by-step explanation:

short answer: this is basically the parent graph cos(x), just vertically shifted down 1 unit.

longer answer:

standard form is y = a cos(bx-c) +d

a = amplitude

b = 2pi/period

c = horizontal shift

d = vertical shift (also equal to midline)

for this graph

a=1

period is 2pi, so b=1

there is no horizontal shift so c=0

d= -1 because it is shifted down one unit from axis (midline is at -1)

Answer:

21

Step-by-step explanation:

it is not a prime number, according to prime number only the number and 1 can it be divided but here 21 can be divided by 1,3,7 and 21 itself. Therefore others are prime number except 21

Answer:

this answer should be -6x - 3

Step-by-step explanation:

Graph the linear equation. 3x-4y= 24

---------------------

Let x = 0, then y = -6

Let y = 0, then x = 8

----------------------------

Plot (0,-6) and (8,0) and draw a line thru them to get:

Answer:

49 + 32 = 81       81 divided by 9 is 9 in

Step-by-step explanation:

The theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.

The SAA congruence theorem states that two triangles can be proved to be congruent triangles if they both have two pairs of congruent angles and a pair of non-included congruent sides.

Thus:

ΔADB and ΔCBE have:

Therefore, the theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.

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Answer: See explanation

Step-by-step explanation:

Monday

The sale price of the items was $41.40

Mrs. Bolden paid $2.48 in sales tax on her purchase.

Altogether, Mrs. Bolden paid $43.88 for the shirts and flip flops.

Tuesday

The price decreased by approximately 8%

3.44 ÷ 3.75 = 0.917

0.917 × 100 = 91.7

91.7 ≈ 92

100 - 92 = 8

8% of 3.75 is 0.3

3.75 - 0.3 = 3.45

3.45 ≈ 3.44

Wednesday

22 ¹/₂ yrs or 22 yrs if that's easier

127.5 ÷ 1500 = 0.085

0.085 × 100 = 8.5

100 - 8.5 = 91.5

4 1/4 = 4.25

91.5 ÷ 4.25 = 21.5294117647

21.5294117647 × 4.25 = 91.5

21.5294117647 ≈ 21 ¹/₂ yrs

Thursday

If she marked up the price by 40%, that means $15 is 60% the original/selling price.

60% of x = 15

0.6x = 15

Divide both sides by 0.6

x = 25

The selling price is $25

If you wanted to confirm, 0.6 × 25 = 15

Friday

3 jeans for $42 each

3 × 42 = 126

3 jeans for $126

5 shirts for $27 each

5 × 27 = 135

5 shirts for $135

126 + 135 = 261

6.5% of 261

0.065 × 261 = 16.965

16.965 to the nearest cent is 16.97

She would have to pay $16.97 for tax.

261 + 16.97 = 277.97

She won't have enough money to buy everything she wants since the total price would be over $275.

Answer: X=3, Y=6 z=-1

Step-by-step explanation: