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The relationship between hours worked and income earned is an example of data that shows a direct and positive correlation. As the number of hours worked increases, so does the amount of money earned. This is a direct correlation because the variables (hours worked and earnings) are positively related; as one variable rises, so does the other. The correlation is positive because the relationship between the variables is directional, i.e., as one variable increases, so does the other.

Answer:

Step-by-step explanation:

An example of data that would show direct and positive correlation is the relationship between the number of hours studied for an exam and the grade received on the exam. As the number of hours studied increases, the grade received on the exam also increases, indicating a direct and positive correlation between the two variables.

Answer:1 in 3 chance

Step-by-step explanation:

There are 5 green, 3 blue, and 7 red. Add them up 5+3+7=15
Then you put it into a fraction [tex]\frac{5}{15} =\frac{1}{3} \\[/tex]
1 over 3 is your answer

According to given information, x is 7.5 to the nearest tenth.

What is Triangle?

In geometry, a triangle is a two-dimensional closed shape with three straight sides and three angles. It is formed by connecting three non-collinear points with line segments. The three points of a triangle are called its vertices, and the line segments connecting them are called its sides.

If triangles ABC and DEF are congruent, then their corresponding sides are equal in length. Therefore, we have:

AB = DE = 41

BC = EF = 23

AC = DF = 36

We are given that BC = 4x - 7, so we can set up the following equation:

4x - 7 = BC = EF = 23

Solving for x, we get:

4x = 30

x = 7.5

Therefore, according to given information x is 7.5 to the nearest tenth.

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Answer: 32 presents can be wrapped with 8 yards of ribbon

Step-by-step explanation:

Convert yards to inches

1 yard = 36 inches

8 yards = 288 inches

Divide 288 inches by 9 inches

288/9 = 32

Answer: You can wrap 32 presents with 8 yards.

Step-by-step explanation:

So, first, you need to know how many inches are in a yard. There are 36 inches in 1 yard.

Then, do 36 inches times 8 yards to figure out how many yards are in 8 yards. So in 8 yards, there are 288 inches.

Finally, do 288 divided by 9 to figure out how many present you can wrap with 8 yards (288 inches).

You can wrap 32 presents with 8 yards.

I hope this helped!

With speed=10 m/s, the rope will hit ground after 3.36 seconds.

Speed is a measure of how fast an object is moving, usually measured in units of distance per unit time, such as meters per second (m/s) or kilometers per hour (km/h). It is a scalar quantity, meaning it only has magnitude and no direction.

Mathematically, speed is defined as the distance an object travels per unit time. The formula for calculating speed is:

Speed = Distance / Time

where Distance is the distance traveled by the object, and Time is the time taken to cover that distance.

here, we have,

Now,

To find when the rope will hit the ground, we can use the kinematic equation:

y = vi * t + (1/2) * a * t²

where:

y = 50 m (the height of the cliff)

vi = 10 m/s (the initial velocity of the rope)

a = 9.8 m/s² (the acceleration due to gravity, acting downward)

t = time it takes for the rope to hit the ground

We can solve for t by setting y=50 and solving for t:

50 = 10t + (1/2) * 9.8 * t²

50 = t(10 + 4.9t)

t = 50/14.9=3.36 s

Therefore, the rope will hit the ground after 3.36 seconds.

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In this case, the equation is 6/2 = x/3, so x = 6/2 * 3/1 = 9/2.Therefore, the two possible values of x are 11/6 and 9/2.

Corresponding angles are angles that have the same relative position when two parallel lines are cut by a transversal line. When two parallel lines are cut by a transversal, corresponding angles are the same size. Corresponding angles are also known as vertically opposite angles.

In order to determine the value of x, we must assume that the two triangles in the diagram are similar. This means that the corresponding angles are equal and the corresponding sides are proportional. We will also assume that the angles of the triangle are in degrees and the sides are in the same unit of length.

Using the properties of similar triangles, we can calculate the value of x. We start by looking at the given angles, which are both 60°. Since the sides are proportional, we can set up a proportion equation between the two sides. We will use the side lengths given in the diagram to solve the proportion equation.

The proportion equation is: 11/3 = x/2.

Solving this equation for x, we get x = 11/3 * 2/1, which simplifies to x = 11/6.

We can also use the same equation to solve for x using the second given side length, which is 6. In this case, the equation is 6/2 = x/3, so x = 6/2 * 3/1 = 9/2.

Therefore, the two possible values of x are 11/6 and 9/2.

* The assumptions that I made in my working are that the two triangles in the diagram are similar and that the angles are measured in degrees and the sides are measured in the same unit of length.

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There are only one solution  x= 1/2 in the expression.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.\

Given that;

The expression is,

⇒ 8x - 4 = 3 - 6x

Now, We can simplify the expression as;

⇒ 8x - 4 = 3 - 6x

Add 6x both side,

⇒ 8x + 6x - 4 = 3 - 6x + 6x

⇒ 14x - 4 = 3

Add 4 both side,

⇒ 14x - 4 + 4 = 3 + 4

⇒ 14x = 7

Divide by 14;

⇒ x = 7/14

⇒ x = 1/2

Thus, There are only one solution  x= 1/2 in the expression.

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Answer:

1.2 mi/hr

Step-by-step explanation:

y=12/x
y=12/10
y=1.2 mi/hr

Answer:

[tex]\huge\boxed{\sf y = 1.2 \ mph}[/tex]

Step-by-step explanation:

[tex]\displaystyle y=\frac{12}{x}[/tex]

Given that, x = 10

So,

[tex]\displaystyle y=\frac{12}{10} \\\\y = 1.2 \ mph\\\\\rule[225]{225}{2}[/tex]

Answer:

q=2.1

Step-by-step explanation:

2q+3.07=7.27

take away 3.07 from both sides

2q=4.20

divide both sides by 2

q=2.10

q=2.1

The requried measures of angles a, b, c, and d are 97°, 15°, 68°, and 68° respectively.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
From the figure,
The calculation of the unknown angles is as follows,
112° and ∠d are supplementary angles.

So,
112 + ∠d = 180
∠d = 180 - 112
∠d = 68°

97° and angle a are corresponding angles, so
∠a = 97°.

112 and ∠c are also supplementary angles.
112 + ∠c = 180
∠c = 68°

Now,
∠a + ∠b  = 112
∠a + 97 = 112
∠a = 15°

Thus, the requried measure of angles a, b, c, and d are 97°, 15°, 68° and 68°.

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Answer:

False.

Step-by-step explanation:

The equation f(x) = [tex]-x^4[/tex] + 3 has a maximum interval of (0, 3).

First simplify the equation:

f(x) = [tex]-4x^3[/tex]

Then find the intervals:

Increasing -∞<x<0, Decreasing 0>x>∞

Plug x = 0 into [tex]-x^4[/tex]+3: 3

Therefore the maximum interval of [tex]f(x) = -x^4 + 3[/tex] is (0, 3)

Answer:

The expected value of each warranty sold is $23.8.

The distance from frank's house to john's house and then back to frank's house is less than a mile by 1/5 units.

While travelling from one location to another and back again just multiplying the distance between the two places will give you the total distance travelled when travelling from one spot to another and returning to the beginning position.

The distance from frank's house to john's house = 4/10.

The distance back to Frank's house = 4/10.

Total distance = 4/10 + 4/10

Total distance = 8/10

The distance is thus,

1 - 8/10

Take the LCM:

(10 - 8) / 10

2/10 = 1/5

Hence, the distance from frank's house to john's house and then back to frank's house is less than a mile by 1/5 units.

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Answer:404087

Step-by-step explanation:

use the calculator frfr

Answer:

404087

Step-by-step explanation:

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \color{gray}{ \bigstar} \blue {\boxed{ \rm{ \green{Volume \: of \: Pyramid = \frac{1}{3} Bh}}}}[/tex]

[tex] \: [/tex]

[tex] \rm{Volume \: of \: Pyramid = \frac{1}{3} Bh} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\rm \: = \frac{1}{3} \times 75 \times 7.4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm = \frac{1} {\cancel{3} }\times \cancel{555 } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline\color{darkgreen}\boxed{ \rm{ = 185}}[/tex]

[tex] \: [/tex]

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hope it helps! :)

Answer:27

6574

Step-by-step explanation:

Answer:

2x+12<22

Step-by-step explanation:

Bc I got it correct

Answer: 35

Step-by-step explanation:

So we already know he sold $40 worth jacket so lets subtract that from 92.50

92.50-40= 52.5

So he sold $52.5 worth of notebooks

since we know each notebook costs 1.50 all we have to do is divide

52.5 / 1.50 = 35

He sold 35 notebooks

The angle measures are given as follows:

Two angles are called supplementary when the sum of their measures is of 180º.

On a trapezoid, consecutive interior angles are supplementary, hence the pairs of supplementary angles are given as follows:

Hence the value of y is obtained as follows:

y + 145 = 180

y = 35º.

(as the two angles are supplementary we know that the sum of their measures is of 180º).

The value of x is obtained as follows:

x + 62 = 180

x = 118º.

(as the two angles are supplementary we know that the sum of their measures is of 180º).

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Answer:

C. Simple interest involves interest calculated only on the principal. Compound interest is interest computed on the original principal as well as on any accumulated interest.

Step-by-step explanation:

The actual amount the salesman pays for an article with a marked price of N950.00 is N2,312.50.

Amount is a word used to refer to a quantity or amount of something. It can also be used to refer to the total sum of money, goods, or services due for payment or exchange. It can also refer to the balance of money or goods due for payment or exchange. Amount is also used to refer to the size, extent, or magnitude of something.

To calculate this amount, we first need to calculate the amount of discount the salesman is offering. This is calculated by taking the marked price and multiplying it by the discount percentage: N950.00 x 125% = N1,187.50. Then, we subtract this discount amount from the marked price: N950.00 - N1,187.50 = N2,312.50. This is the actual amount the salesman pays for the article.

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The measurement of angle DAO in the given rhombus  is 40°

A rhombus is a quadrilateral with both pairs of opposite sides parallel and all sides the same length, i.e., an equilateral parallelogram. The word rhombus is sometimes used instead of rhombus.

Given that, ABCD is a rhombus and ADC = 50°. we need to find DAO.

Please refer to the figure attached

We know that, the diagonals of the rhombus bisects at right angle,

Therefore,

AOD is a right-angled triangle.

We know that, the sum of the acute angles of a right-angled triangle is 90°

Therefore,

∠ ADC + ∠ DAO = 90°

∠ DAO = 90° - 50°

∠ DAO = 40°

Hence, the measurement of angle DAO in the given rhombus  is 40°

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Based on the information in the graph, the perimeter of the figure would be 48.

To find the perimeter of the figure we must add the value of all the sides. In this case, this figure has 8 sides. However, in essence it is a rectangle because all the angles are 90°, so we could assume that the sides on the right add up to 6 as the side on the left. Also the bottom sides would add up to 18 like the top.

According to the above, we could infer that the perimeter of the figure is:

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Answer: Three equivalent ratios of 8 : 5 are 16 : 10, 24 : 15 and 32 : 20.

Step-by-step explanation:

Answer:

$85.00

Step-by-step explanation:

Let's first subtract the cost of the parts from the total to find the cost of the labor:

Cost of labor = Total cost - Cost of parts

Cost of labor = $576.50 - $109

Cost of labor = $467.50

We know that the technician worked for 5.5 hours, so we can find the cost of labor per hour by dividing the cost of labor by the number of hours:

Cost of labor per hour = Cost of labor / Number of hours

Cost of labor per hour = $467.50 / 5.5

Cost of labor per hour = $85

Therefore, the cost of labor per hour is $85.

Answer:

. 1.75x+7.50 ≥ 100

Step-by-step explanation: