there are five number cards. 1 4 6 8 9 One of the cards is removed and the mean average of the remaining four number cards is 6 Which card was removed? You must show your working.

Answer

1.98

Step-by-step explanation:

1.54 + 0.44 = 1.98

hope it helps.

Answer:

Many solutions

Step-by-step explanation:

Step-by-step explanation:

the ratio of 1/18 simply means that 1 inch in the drawing represents 18 inches in reality.

so, the real flag is therefore

2×18 = 36 inches long and 1×18 = 18 inches wide (or high).

the area of the actual flag is therefore

36 × 18 = 648 in²

The person's final position, relative to their starting point, is 9 miles east and 10 miles south.

To determine the final displacement of the person, we can break down the given directions into their corresponding components on a coordinate system.

Let's assume that moving east is represented by a positive x-direction, moving north is represented by a positive y-direction, and the origin (0, 0) represents the person's starting point.

6 miles east

5 miles southeast

5 miles south

1 mile southwest

4 miles east

let's analyze the east-west component of the person's displacement:

6 miles east - This contributes +6 to the x-coordinate.

1 mile southwest - This contributes -1 to the x-coordinate.

4 miles east - This contributes +4 to the x-coordinate.

Total east-west displacement: +6 - 1 + 4 = +9 miles east.

let's analyze the north-south component of the person's displacement:

5 miles southeast - This contributes -5 to the y-coordinate.

5 miles south - This contributes -5 to the y-coordinate.

Total north-south displacement: -5 - 5 = -10 miles south.

Combining the east-west and north-south components, we get the final displacement:

Final displacement: +9 miles east, -10 miles south

Therefore, the person's final position, relative to their starting point, is 9 miles east and 10 miles south.

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Answer: 3 equations

Step-by-step explanation:

The 4th one doesn’t work for both pairs.

1st : 3 - 7 = -4 | 5 x 2 = 10 5 x 4 = 20

10 - 20 = -10.  

-4 does not equal -10

2nd equation : -7 - 7 = -14  

5 x 4 = 20| 5 x 4 = 20 20 - 20 = 0

-14 does not equal 0

The only one equation that represents the line passing through both points is y = -x + 5. which is the correct answer that would be an option (D).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

To determine the number of the given equations representing the line passing through the points (2,3) and (4,-7), you can substitute the coordinates of these points into the equations and see if they are satisfied.

If an equation is satisfied by both points, then the line described by that equation passes through both points.

Here are the given equations:

A. y = 3x + 5

B. y = -7x + 1

C. y = x + 1

D. y = -x + 5

E. y = -1/3x + 1

Substituting the coordinates of the point (2,3) into each of these equations, we find that equations A, C, and D are satisfied by this point.

Substituting the coordinates of the point (4,-7) into each of these equations, we find that equations B and D are satisfied by this point.

Therefore, the only one equation that represents the line passing through both points is D. Thus, the answer is 1.

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The question seems to be incomplete the correct question would be

how many of the equations listed below represent the line passing through both points (2,3) and (4,-7).

A. y = 3x + 5

B. y = -7x + 1

C. y = x + 1

D. y = -x + 5

E. y = -1/3x + 1

Answer:

Radius of the cylinder = 1.69 units

Step-by-step explanation:

Volume of a cylinder is given by the expression,

Volume = Area of the circular base × Height of the cylinder

Area of the circular base = πr²

Here, r = Radius of the circular base

Volume of the cylinder = πr²h

By substituting the values given in the question,

72 = π(r)²8

r² = \(\frac{9}{\pi }\)

r² = 2.865

r = 1.692

r = 1.69 units

Answer:

B

Step-by-step explanation:

the money increases hourly so A and C are wrong. and it is constant so the answer is B

Answer:

B. \((3x-4)(x+1)\)

Step-by-step explanation:

The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

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An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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The express in the form of a + bi would be 0 + 5i.

Complex numbers are those expressed as a + ib, where a, b are real numbers and 'i' is a fictitious number called a "iota." i is equal to  (√-1). A pair of real and imaginary numbers combined in the form a + bi.

When a and b are real numbers, a complex number is one with the formula a + bi. The complex number has two parts: real component (a) and imaginary part (b). If both the real and imaginary components of two complex numbers are identical, only then are the two complex numbers equal.

Let the given expression be \($\sqrt{-25}$$\).

We have to evaluate the expression.

\($$\begin{aligned}\sqrt{-25} & =\sqrt{-1 \cdot 25} \\& =\sqrt{-1} \sqrt{25} \\& =i(5) \\& =5 i\end{aligned}$$\)

The express in the form of a + bi = 0 + 5i.

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Step-by-step explanation:

Arlington is increasing because it has 1.027, if it was 0.27 it would be decreasing

If p(6)= 4107 that means after 6 years there would be a total population of 4107

To determine the diameter that represents the 58th percentile, we must first determine the total number of diameters, which is 15 in this case.

Following that, we must determine the ranking that represents the 58th percentile.58 percent of 15 is 8.7, which we can round up to 9. That implies that the 58th percentile is the ninth diameter in the dataset once they've been sorted in ascending order in terms of their value.We'll need to sort the diameters in ascending order to figure out the ninth diameter.1.321.341.451.471.551.561.581.591.611.631.641.641.691.691.69The ninth diameter in the ordered set of diameters is 0.611; thus, this is the diameter that represents the 58th percentile.

Therefore, the diameter that represents the 58th percentile is 0.611.

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Answer:

6n^3

Step-by-step explanation:

3/3 *9^10/453*7+sqrt175

The polynomial expression is \($B=6 n^{3}\) ; where, \(\quad n \neq 0\).

Given:

\($\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$\)

To find:

the value of B is a polynomial expression.

Step 1

Let, \($\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$\)

\($\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}=1$$\)

Simplifying the above equation as

\($\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}: \frac{B}{6 n^{3}}$\)

then, we get

\($\frac{B}{6 n^{3}}=1$$\)

Step 2

Multiply both sides by \($6 n^{3}$\), then we get

\($\frac{B}{6 n^{3}} \cdot 6 n^{3}=1 \cdot 6 n^{3} $$\) where, \(\quad n \neq 0\)

Simplifying the equation as

\($B=6 n^{3}\) ; where, \(\quad n \neq 0\)

The value of \($B=6 n^{3}\) ; where, \(\quad n \neq 0\).

Therefore, the polynomial expression is \($B=6 n^{3}\) ; where, \(\quad n \neq 0\).

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Answer:

1. 5050 < 8820

2. 15 > 6

3. -20 , -18

4. -1 < 1

Step-by-step explanation:

1. 4 < 7

multiply both sides by 7:  4 x 7 < 7 x 7 = 28 < 49

then multiply both sides by 6: 28 x 6 < 49 x 6 = 168 < 294

then multiply both sides by 3: 168 x 3 < 294 x 3 = 505 < 882

then multiply both sides by 10:  505 x 10 < 882 x 10 = 5050 < 8820

Did not affect the inequality sign

2. 11 > 2

Add 5 to both sides:  11 + 5 > 2 + 5 = 16 > 7

then add 3 to both sides:  16 + 3 > 7 + 3 = 19 > 10

then add -4 to both sides: 19 - 4 > 10 - 4 = 15 > 6

Did not affect the inequality sign

3. -4 < -2

Subtract 6 from both sides: - 4 - 6 < - 2 - 6 = -10 < -8

then subtract 8 from both sides: -10 - 8 < -8 - 8 = -18 < -16

then subtract 2 from both sides:  -18 - 2 < -16 - 2 = -20 , -18

Did not affect the inequality sign

4. -8 < 8

Divide both sides by -4: -8 ÷ -4 < 8 ÷ -4 = 2 > -2

then divide both sides by -2:  2 ÷ -2 > -2 ÷ -2 = -1 < 1

Did affect the inequality sign throughout the operations, as when dividing by a negative number, flip the sign

5.

Answer:

a) 250

b) 125

Step-by-step explanation:

For a, the answer is 250 because if 2 regions are labelled 6, and there are 6 regions, and the spinner is spun 750 times, then we will multiply 2 by 750 and divide the answer by 6.

2 x 750 = 1500

1500/6 = 250

Now, for b, the answer is 125 because 3 is the only prime number there and only one region is labelled 3. So we multiply 1 by 750 (which is 750) and divide by 6.

750/6 = 125.

a = 250

b = 125

The value of the inequality given as n ≤ 5 - 4 is n ≤ 1.

It should be noted that an inequality is simony used to how the relationship between the expressions that aren't equal.

In this case, it should be noted that the inequality given is expressed as n + 4 ≤ 5. This will be solved accordingly:

n + 4 ≤ 5.

Collect like terms

n ≤ 5 - 4

n ≤ 1.

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84.5

Answer:

10.5

Step-by-step explanation:

Unit test on edge 2021

The value of x from the figure is 10.5cm

Find the diagram attached

From the given diagram

tan 55 = 15/b

Given that tan 55 = 1.4281, hence;

1.4281 = 15/b

b = 15/1.4281

b  = 10.5cm

Hence the value of x from the figure is 10.5cm

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A chord is any segment with ends that are located on the circle. It should be emphasized that the diameter is the circle's longest chord, which runs through its center.

The chord of a circle is a section of a line that connects two points on its circumference. The chord is one of the several line segments that may be made in a circle whose ends are on the rim. To find the chord PQ, look at the circle below.

A chord that runs across the center of the circle is another way to think of the diameter. When a chord is drawn, it separates the circle into the major segment and the minor segment, which are referred to as the segments of the circle.

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The volume of the figure is 712.96 yd³.

We have,

The figure consists of a box and a semicircle.

The volume of a box.

= 8 x 8 x 8

= 512 yd³

The area of the semicircle.

= (1/2 x πr²)

= 8 x (1/2 x 3.14 x 4²)

= 8 x 3.14 x 8

= 200.96 yd³

Thus,

The volume of the figure.

= 512 + 200.96

= 712.96 yd³

Thus,

The volume of the figure is 712.96 yd³.

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Hence, (x + 2)² - 2 is the final square form of x² + 4x + 14.

An algebraic expression with the three terms ax² + bx + c is known as a perfect square trinomial. It can be created by multiplying a binomial by itself.. For instance, the perfect square polynomial x2 + 6x + 9 is created by multiplying the binomial (x + 3) by itself. As a result, (x + 3) = x2 + 6x + 9 (or vice versa).

A perfect square trinomial is an algebraic expression that is produced by squaring a binomial expression. It belongs to the ax²+ bx + c type. Here, along with a 0, are real numbers a, b, and c.

It is of the type ax² + bx + c. Real numbers a, b, and c are present here, and a 0.

We need to add and subtract a constant term that will enable us to formulate the expression as a perfect square trinomial in order to express x² + 4x + 14 in finished square form.

x² + 4x + 14

= x² + 4x + 4 - 4 + 14

=(x + 2)² - 2

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a. ∑(xᵢ) from i = 1 to 5

b. ∑(ixᵢ) from i = 1 to 5

c. ∑((x² + y²)) from i = 1 to n

a. The expression x₁ + x₂ + x₃ + x₄ + x₅ can be expressed in Σ notation as:

∑(xᵢ) from i = 1 to 5

b. The expression x₁ + 2x₂ + 3x₃ + 4x₄ + 5x₅ can be expressed in Σ notation as:

∑(ixᵢ) from i = 1 to 5

c. The expression (x² + y²) + (x² + y²) + (x² + y²) + ... + (x² + y²) can be expressed in Σ notation as:

∑((x² + y²)) from i = 1 to n

where n represents the number of terms in the sequence. The specific value of n would need to be provided to accurately represent the summation.

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Answer:

x>dy-c

Step-by-step explanation:

The type of error depends on the level of significance and whether the test is one-tailed or two-tailed.

The type of error occurs if you fail to reject H0 when, in fact, it is not true.

The type of error that occurs when one fails to reject H0 when, in reality, it is false is type II error.

Type II error is an error in which one accepts a null hypothesis that should be rejected.

This type of error is the opposite of type I error, where one rejects a null hypothesis that is true.

A type II error is a serious issue because it suggests that a significant difference exists, but the statistical test fails to detect it.

There are two types of errors associated with hypothesis testing, type I and type II errors, depending on the significance level of the test.

A type I error occurs when the null hypothesis is rejected when it is true.

A type II error happens when the null hypothesis is not rejected when it is false.

A type I error, also known as an alpha error, is caused by rejecting the null hypothesis when it is true.

It occurs when the significance level is set too high or when a statistical test is not performed correctly.

A type I error occurs when the observed value lies in the rejection region of the null hypothesis, and we reject the null hypothesis even though it is true.

In conclusion, when one fails to reject H0 when it is false, a type II error occurs. On the other hand, when one rejects H0 when it is true, a type I error occurs.

The type of error depends on the level of significance and whether the test is one-tailed or two-tailed.

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The water capacity of the container, when completely full, is given by \(\(V_{\text{total}} = 5 \times 5 \times 12 + 6^3 = 985\)\) cubic inches.

To calculate the water capacity of the container, we need to find the total volume of the plastic rectangular prism and the plastic cube.

Let's denote the dimensions of the plastic rectangular prism as length \((\(L\)), width (\(W\)), and height (\(H\))\), and the side length of the plastic cube as \(S\).

The volume of the rectangular prism is given by \(\(V_1 = L \times W \times H\)\), and the volume of the cube is given by \(\(V_2 = S^3\).\)

Given the information provided, the dimensions are as follows: \(\(L = 5\) in, \(W = 5\) in, \(H = 12\) in, and \(S = 6\) in.\)

The total volume of the container is obtained by adding the volumes of the rectangular prism and the cube: \(\(V_{\text{total}} = V_1 + V_2\).\)

Substituting the values, we have: \(\(V_{\text{total}} = 5 \times 5 \times 12 + 6^3 = 985\)\) cubic in.

Therefore, the container will hold \(985\) cubic inches of water when completely full.

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Answer:

22 Square inches

Step-by-step explanation:

(Non Shaded) 3 x 1 = 3

Area = 3

(Full shape) 5 x 5 = 25

Area = 25

(Shaded) 25 - 3 = 22