What is the value of |– 4.25|?

The final price will be:

So, the final price of the game is $36.00.

The statement "P(A or B) = P(A and B)" is not true if the only two outcomes possible are A and B. This option (E) is the answer.

Let's analyze each statement to determine which one is not true.

OA. A and B are Collectively Exhaustive:

Collectively Exhaustive means that the outcomes A and B cover all possible events. Since there are only two outcomes possible (A and B), they are indeed Collectively Exhaustive.

OB. P(A) always equals to 1 - P(B):

This statement is true because if the only two outcomes are A and B, the probability of A occurring plus the probability of B occurring must equal 1.

OC. P(A and B) = 1:

This statement is also not true. The probability of both A and B occurring simultaneously, denoted as P(A and B), can range from 0 to a value less than or equal to 1. It does not always equal 1.

OD. P(AIB) = P(A), if A and B are independent:

This statement is true when A and B are independent events. If A and B are independent, the occurrence of B does not affect the probability of A happening. Therefore, P(AIB) is equal to P(A).

OE. P(A or B) = P(A and B):

This statement is not true. The probability of the union of events A and B (A or B) is equal to the sum of their individual probabilities minus the probability of their intersection (A and B). Therefore, P(A or B) is not equal to P(A and B).

Based on the analysis, the statement that is not true is option E: P(A or B) = P(A and B).

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The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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Answer:

he is drive 6.4 hours ......

The angle ∠2 is a vertically opposite angle to the angle 145°, so they are congruent:

∠2 = 145°

The angles 1 and 3 are supplementary angles to the angle 145°, so they are equal to:

180° - 145° = 35°

∠1 = 35°

∠3 = 35°

The angle 8 is a corresponding angle to the angle 145°, so they are congruent:

∠8 = 145°

The angle ∠6 is a vertically opposite angle to the angle ∠8 so they are congruent:

∠6 = 145°

The angles 5 and 7 are supplementary angles to the angle ∠8, so they are equal to:

180° - 145° = 35°

∠5 = 35°

∠7 = 35°

Answer:

\(\boxed{ \sf Option \ 4}\)

Step-by-step explanation:

The domain is all possible values for x.

There are no restrictions on x. The domain is all real numbers.

The range are all possible values of F(x) or y.

\(F(x)=5^{3(3)}= 1953125\)

\(F(x)=5^{3(0)}= 1\)

\(F(x)=5^{3(-2)}= 0.000064\)

When the value of x increases, the value of F(x) increases until infinity. When the value of x decreases, the value of F(x) gets closer to 0 but does not equal to 0.

The range is \(y>0\)

The coefficient of 3 does not affect the domain and range, as there are no real restrictions.

Step-by-step explanation:

Length = x

Width = (x-5)

Perimeter = 2 lengths + 2 widths

50 ft = x + x + (x-5) + (x-5)

50 ft = 4x - 10

60 ft = 4x

15 ft = x

length = x = 15 ft

width = (x-5) = (15 -5) = 10 ft

dimensions = length × width

= 15 ft × 10 ft

if you wanna check,

50 ft = x + x + (x-5) + (x-5)

50 ft = 15 + 15 + (15-5) + (15-5)

50 ft = 30 +(10+10)

50 ft = 30 + 20

50 ft = 50

Answer:

ken grew .425 of an inch more than sang because 4/5 is .8 and 3/8 is .375 what you do is you take those two numbers and subtract the smaller one from the bigger one and you get .425 and ken had the bigger growth.

Step-by-step explanation:

The corresponding angles of the parallel segments \(\overline{AB}\) and \(\overline{CD}\) indicates;

m∠BAC = 70°

Corresponding angles are angles formed by two segments and their common transversal, at the same relative positions on the segments and the transversal.

Whereby \(\overline{AB}\) is parallel to \(\overline{CD}\) and \(\overline{BD}\) is parallel to \(\overline{DE}\), and where m∠DEC = 45 and m∠EDC = 65°, we get;

The segment AE is a common transversal to the segments \(\overline{AB}\) and \(\overline{CD}\), therefore, the corresponding angles, ∠BAC and ∠DCE are congruent.

∠BAC ≅ ∠DCE

m∠BAC = m∠DCE (Definition of congruent geometric figures)

The angle sum property of a triangle indicates that we get;

m∠DEC + m∠EDC + m∠DCE = 180°

Therefore; 45° + 65° + m∠DCE = 180°

m∠DCE = 180° - (45° + 65°) = 70°

m∠BAC = m∠DCE = 70°

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Answer:

Step-by-step explanation: The answer is x>4

Happy to help:)

Answer: X>4

Step-by-step explanation:

3x>16-4

3x>12

X>4

Answer: Option 4

Step-by-step explanation:

in option 4, the image is reflected, so it is a reflection.

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Answer: The new set of coordinates is (-6, 3)

Step-by-step explanation:

Answer:

1: 45

2: 135

3: 45

4: 135

5: 60

6: 120

7: 60

8: 120

9: 75

10: 105

11: 75

12: 105

Step-by-step explanation:

1, 2, 3, and 4 and 9, 10, 11, and 12 can be solved using the vertical angle and supplementary angle rules. Vertical angles are always the same and supplementary angles always add up to 180. But to find 5, 6, 7, and 8, you need to find 5 using the rule where all the angles in a triangle add up to 180. Since we know the angles for 9 and 3, we can find the angle 5 and then we can finish finding the rest of the angles.

I hope this helps!

Answer:

Step-by-step explanation:

Use the law of cosines to find the side AB:

Use the Heron's area formula next:

Now

Next

Substitute this into the first equation:

Answer:

AB = 7 cm

Step-by-step explanation:

Sine Rule for Area

\(\sf Area =\dfrac{1}{2}ab \sin C\)

where:

Given:

Substitute the given values into the formula and solve for x:

\(\begin{aligned} \sf Area & = \dfrac{1}{2}ab \sin C \\\\\implies \sqrt{300} & = \dfrac{1}{2}(x+3)x \sin 60^{\circ}\\\\\sqrt{300} & = \dfrac{\sqrt{3}}{4}(x+3)x\\\\\dfrac{4\sqrt{300}}{\sqrt{3}} & = x^2+3x\\\\40 & = x^2+3x\\\\x^2+3x-40 & = 0\\\\ (x-5)(x+8)& = 0\\\\ \implies x & = 5, -8\end{aligned}\)

As length is positive, x = 5 only.

Substitute the found value of x into the expressions for the side lengths:

Cosine rule

\(c^2=a^2+b^2-2ab \cos C\)

(where a, b and c are the sides and C is the angle opposite side c)

Substitute the found values into the formula and solve for AB:

\(\begin{aligned}c^2 & =a^2+b^2-2ab \cos C\\\implies AB^2 & =8^2+5^2-2(8)(5) \cos 60^{\circ}\\AB^2 & =89-40\\AB^2 & =49\\AB & =\sqrt{49}\\AB & = \pm 7\end{aligned}\)

As length is positive, AB = 7 cm.

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Answer:

  preparing food in space is complicated for many reasons some are microgravity, some foods are not perfected and some foods do not meet the requirements of space food. astronauts can't sprinkle salt and pepper on their food in space. They just float away because of microgravity.  

The bubbles of carbon dioxide in carbonated beverages aren't  floatable in a weightless environment, so they remain randomly distributed throughout the fluid, even after drinking  

Step-by-step explanation:

The object distance is 0, which implies that the object is at the focus of the concave mirror.

For a concave mirror, the magnification is given by the formula:

m = -di/do

where m is the magnification, di is the image distance, and do is the object distance. Since we are given that the magnification is -2.0, we can write:

-2.0 = -di/do

Simplifying this expression, we get:

di = 2do

We can also use the mirror formula for a concave mirror:

1/f = 1/do + 1/di

where f is the focal length of the mirror. Substituting di = 2do and f = -16 cm (since the mirror is concave), we get:

1/-16 = 1/do + 1/(2do)

Multiplying both sides by -16do, we get:

do - 2f = -32

Substituting f = -16 cm, we get:

do - (-32) = -32 + 32

do = 0

This means that the object distance is 0, which implies that the object is at the focus of the concave mirror. This is a valid result, since a concave mirror can form a real, inverted image for an object placed at a distance equal to its focal length. In this case, the magnification would be -1, not -2. So, it is not possible to have a magnification of -2 for an object distance in front of a concave mirror with a focal length of 16 cm.

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Answer:

The answer is

\(k = 48\)

Answer:

10%

Step-by-step explanation:

300/3000 × 100 = 10

hope this helps

Peter's gross pay will be 1820.9.He put in 32 hours of work two weeks ago, and the tip money came to $1587.30.

Before taxes, benefits, and other payroll deductions are taken out of an employee's paycheck, that amount is known as their gross pay.

Given data;

Peter earn per hour = 7.30

Gratuities = 7 %

Given condition;

No of hour person work = 32

Gratitutes = 1587.30

Let the gross pay will be x;

x = gratuities + no of hoy\ur work × money earned per hour;

x =  1587.30 + 32 × 7.30

x = 1820.9

Hence,Peter's gross pay will be 1820.9.

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Answer:

52 rides

Step-by-step explanation:

125 - 8 - 8 - 8 - 8 = 93

93 - 27 = 66

66 ÷ 1.25 = 52.8

Since 52.8 rides we have to use only the whole numbers, so in this case 52.

Hope this helps!

Step-by-step explanation:

Statements

Reasons

1. PQ || MN

1. Given

2. O is the midpoint of NP

2. Given

3. NO = OP

3. Definition of midpoint

4. ∠ZMO = ∠QOP

4. Alternate interior angles are congruent (corresponding angles of parallel lines)

5. ∠LNMO = ∠LPQO

5. Alternate interior angles are congruent (corresponding angles of parallel lines)

6. ΔMNO ≅ ΔPRO

6. Angle-side-angle (ASA) congruence theorem

7. AMNO ≅ AQPO

7. Corresponding parts of congruent triangles are congruent (CPCTC)

Answer:

\(the \: probability \: is \: \frac{5}{60} \\ when \: simplified \: becomes \: \frac{1}{12} \)

Step-by-step explanation:

The solution is in the image

An interest rate of 2.5 % is required to obtained a current capital of $ 143,000 after a period of 16 years.

In this problem we find that Jayden deposits an amount of money for a period of 16 years and such account is under composite interest, that is, that the account increases its capital continously in time. Compound interest model is shown:

C' = C · (1 + r / 100)ˣ

Where:

If we know that C = 97,000, C' = 143,000 and x = 16, then the interest rate is:

143,000 = 97,000 · (1 + r / 100)¹⁶

143 / 97 = (1 + r / 100)¹⁶

1.025 = 1 + r / 100

0.025 = r / 100

r = 2.5

The needed interest rate needed for a capital of $ 143,000 after a period of 16 years is equal to 2.5 %.

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Answer:

b. is incorrect

Step-by-step explanation:

I. Given 8.00 - 2.64

            8.00

          - 2.64

         = 5.36

So 5.36 + 2.64 = 8

Answer: 1/4

Step-by-step explanation: 1-3/4

Answer:  1 subtracted by 3/4 is -0.25  (Decimal form) but as a fraction, it's  -1/4. (Fraction form)

If this is not what you want or doesn't help. Just let me know and I'll see what I can do!

Answer:

I mite be rong but I think 8x and 3x

To begin with, let's recall the definition of a one-to-one function. A function f: A → B is one-to-one if every element in A is mapped to a unique element in B. In other words, no two distinct elements in A are mapped to the same element in B.
Now, let's assume that f is one-to-one and even. This means that f(-x) = f(x) for all x in R. To prove that f cannot be both one-to-one and even, we will use a proof by contradiction. Suppose f is both one-to-one and even. Then, for any x and y in R, if f(x) = f(y), we must have x = y. Now, let's consider the case when x and y are negative numbers such that x ≠ y. Since f is even, we have f(-x) = f(x) and f(-y) = f(y). However, since f is one-to-one, we cannot have f(-x) = f(-y) because x and y are distinct.Therefore, f cannot be both one-to-one and even. Alternatively, we could use the contrapositive of the statement. The contrapositive of "f one-to-one => f not even" is "f even => f not one-to-one". This means that if f is even, then it cannot be one-to-one. This is true because, as we showed earlier, if f is even, there exist distinct negative numbers that are mapped to the same value, which violates the one-to-one property. In conclusion, we have shown that if a function f is one-to-one, then it cannot be even, using either a proof by contradiction or the contrapositive of the statement.

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