how are trapizods and recangles the same

The z-score for x = 30.2 is approximately -0.49.

What is z-score measures?

The z-score, also known as the standard score, is a measure used in statistics to quantify the number of standard deviations that a given data point is from the mean of a dataset.

To calculate the z-score for x = 30.2, we use the formula:

z = (x - μ) / σ

where x is the observed value, μ is the population mean, and σ is the population standard deviation. In this case, we are given the sample mean and sample standard deviation, so we will use them as estimates for the population parameters.

Substituting the given values, we have:

z = (30.2 - 33.7) / 7.2

Simplifying, we get:

z = -0.49

Rounding to two decimal places, we have:

z ≈ -0.49

Therefore, the z-score for x = 30.2 is approximately -0.49.

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We cannot calculate the quick ratio for 2017 as the given data does not contain the balance sheet for 2017. However, we can calculate the quick ratio for 2021 using the given information. The quick ratio for 2021 is 1.54.

Quick ratio is a liquidity ratio that calculates a firm's ability to pay off its current liabilities with quick assets. Quick assets are the liquid assets that can be easily converted into cash within 90 days.

Quick ratio formula:

Quick ratio = (Current assets - Inventories) / Current liabilities

In the given information, we have the following details for the year 2021: Current assets = Cash + Accounts receivable + Inventory = 280 + 940 + 1725 = $2945 million

Current liabilities = Accounts payable = $1435 million

Inventory = $1725 million

Therefore, Quick ratio = (2945 - 1725) / 1435= 1.54 Hence, the quick ratio for 2021 is 1.54.

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The left side of the equation is equal to the right side, which confirms that a = 11/10 is the correct solution.

To solve the equation, we need to isolate the variable "a". The equation is given as a - 1/2 = 3/5.
To eliminate the fraction, we can multiply both sides of the equation by the least common denominator (LCD), which is 10. This will clear the fractions and make the equation easier to solve.
Multiplying the left side of the equation by 10, we get:
10(a - 1/2) = 10(3/5)
10a - 5 = 6
Next, we can simplify the equation by adding 5 to both sides:
10a - 5 + 5 = 6 + 5
10a = 11
Finally, we can solve for "a" by dividing both sides of the equation by 10:
(10a)/10 = 11/10
a = 11/10
Therefore, the solution to the equation is a = 11/10 or a = 1 1/10.
To check the solution, substitute a = 11/10 back into the original equation:
11/10 - 1/2 = 3/5
(11/10) - (5/10) = 3/5
6/10 = 3/5
In summary, the solution to the equation a - 1/2 = 3/5 is a = 11/10 or a = 1 1/10. This solution has been checked and is correct.

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Answer:

b

Step-by-step explanation:

g

+----------------+

|  0  |  1  | -1  |

+-----+-----+-----+

|  2  | -2  |  3  |

+-----+-----+-----+

| -3  |  4  | -4  |

+-----+-----+-----+

 o            o

The zero pairs are (-2, 2) and (-4, 4), and I've circled them in the model above.

To draw a model using integer chips and circle the zero pairs, start by laying out the positive and negative integer chips side by side in a line. The negative numbers should be on the left and the positive numbers should be on the right. Next, take a second line of chips, also with negative numbers on the left and positive numbers on the right, and arrange it so that the chips on the first line line up with the corresponding chips on the second line. For example, the negative 3 chip on the first line should be paired with the positive 3 chip on the second line. The same should be done for all other chips. Finally, circle any pairs of chips where the sum of the two numbers is equal to 0. This will indicate that they are zero pairs.

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The given functions are:

1. (h/g)(x):

Then we need to divide h(x) by g(x):

The factored form of the denominator is:

We have to use partial fractions by applying the following model:

Multiply both sides of the equations by the denominator:

Now, simplify:

To find a0 and a1, substitute the roots of the factors x=-8 and x=8, and solve:

Now, replace these values and find the equation:

2. (h*g)(x):

Apply the distributive property:

3. (g*h)(x):

The result will be the same, but let's solve it to check. Apply the distributive property:

The area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.

When the two sides and an angle of a  triangle is known, then the area of the triangle can be found out with the following formula.

\(A=ab\sin\left(\dfrac{C}{2}\right)\)

Here, a,b are the adjacent sides and C is the angle made between them.

The image of the triangle DEF is attached below. In this the two adjacent sides are given with the length 5 units ans 8 units long.

The angle made between them has the measure of 31 degrees. Put the values in the above formula as,

\(A=(5)(8)\sin\left(\dfrac{31}{2}\right)\\A=10.3\rm\; unit^2\)

Hence, the area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.

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Answer: A, 10.3

Step-by-step explanation: edge 2022

Answer:

The 3 integers are 44, 46, 48

Step-by-step explanation:

The integers are:

Let the three consecutive even integers be denoted as :

x,x+2,x+4

x+x+2+x+4=138

3x+6=138

3x=138−6

3x=132

x=132/3

x=44

The integers are:

x=44

x+2=46

x+4=44+4=48

Answer: -1

Step-by-step explanation:

Given by your question

2(3x-1)≥4x-6

Distributive property to take off the parentheses

2×3x-2×1≥4x-6

6x-2≥4x-6

Subtract 4x on both sides (Subtractive property of equality)

6x-2-4x≥4x-6-4x

2x-2≥-6

Add 2 on both sides (Addition property of equality)

2x-2+2≥-6+2

2x≥-4

Divide 2 on both sides (Division property of equality)

2/2 x≥-4/2

x≥-2

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

Looking at the options you've provided.

-10 INCORRECT, it is not greater or equal to -2

-5 INCORRECT, it is not greater or equal to -2

-3 INCORRECT, it is not greater or equal to -2

-1 CORRECT, it is greater than -2

Hope this helps!! :)

Please let me know if you have any question

x = - 1

2(3x – 1) ≥ 4x – 6

6x - 2 ≥ 4x - 6

6x - 4x ≥ 2 - 6

2x ≥ - 4

x ≥ - 2

x ∈ [ - 2 ; + oo )

x = - 1

The payments each month do not cover all interest and no principal. The correct answer would be an option (B).

A credit card trap occurs when the minimum payments required each month do not cover all the interest charges and do not reduce the principal balance. This means that even if the cardholder makes the minimum payments on time, they will still be paying only the interest charges and not reducing the amount of debt. This can result in a cycle of high-interest debt that is difficult to escape from.

Option A is incorrect as it's describing a common way payments work on credit cards.

Option C is not a trap, as it's describing a credit card issuer with a low-interest rate.

Option D is also incorrect, as it's describing a common way payments work on credit cards.

Hence, the correct answer would be an option (B).

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Answer:

60%

Step-by-step explanation:

The first fill in the blank is 6 1/2

The second one is 7 1/5

So, she ended up buying fewer apples

Can I have a brainliest?

Answer:

The first fill in the blank is 6 1/2

The second one is 7 1/5

She ended up buying fewer apples

Step-by-step explanation:

Answer:

36:18= 16:9

2 eggs for every guest

The probability that the sum of the rolls is divisible by 6 is 1/1296, which is approximately 0.00077 or 0.077%.

To find the probability that the sum of the rolls is divisible by 6, we need to determine the favorable outcomes and the total number of possible outcomes.

First, let's identify the favorable outcomes. In this case, the sum of the rolls can be divisible by 6 if the sum is either 6 or 12.

1. For the sum of 6:
  - One possible outcome is rolling a 6 on the first roll and rolling a 1 on the remaining four rolls.
  - Another possible outcome is rolling a 5 on the first roll and rolling a 2 on the remaining four rolls.
  - We can also have rolling a 4 on the first roll and rolling a 3 on the remaining four rolls.
  - Similarly, rolling a 3 on the first roll and rolling a 4 on the remaining four rolls.
  - Finally, rolling a 2 on the first roll and rolling a 5 on the remaining four rolls.
  - This gives us a total of 5 favorable outcomes.

2. For the sum of 12:
  - One possible outcome is rolling a 6 on all five rolls.
  - This gives us a total of 1 favorable outcome.

Now let's determine the total number of possible outcomes. Since we are rolling a fair 6-sided die 5 times, the total number of possible outcomes is 6^5 (since each roll has 6 possible outcomes).

Therefore, the probability that the sum of the rolls is divisible by 6 is:

(total number of favorable outcomes) / (total number of possible outcomes)
= (5 + 1) / (6^5)
= 6 / 7776
= 1 / 1296

So, the probability that the sum of the rolls is divisible by 6 is 1/1296, which is approximately 0.00077 or 0.077%.

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Answer:

The answer is option B.

The second graph.

Hope this helps you

Answer:

I think it is 420 people

Step-by-step explanation:

A. No, because the alternatives are not quantifiable.

B. No, because the alternatives are quantifiable.

C. Yes, because the alternatives are quantifiable.

D. Yes, because the alternatives are not quantifiable.

In decision-making, the quantifiability of alternatives refers to the ability to assign numerical values or measures to different options. Option A states that the alternatives are not quantifiable, suggesting that they cannot be measured or compared using numerical values. On the other hand, option B asserts that the alternatives are quantifiable, indicating that they can be measured and compared using quantifiable criteria.

To determine the correct answer for each scenario, we need to consider the nature of the decision and whether the alternatives involved can be assigned numerical values or measures. For example, when deciding on the paint color for the factory floor or extending cafeteria business hours, the alternatives may involve both quantifiable costs and benefits, making option B the appropriate choice.

However, in scenarios such as hiring a new engineer or changing the work shift, the qualities, qualifications, or effects involved may not be easily quantifiable, leading us to choose options D and C, respectively.

Ultimately, the correct answer depends on the specific context and the extent to which the alternatives can be measured or compared using quantifiable criteria.

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The reason for step 3 in which case the angle sums are equated is not correct because;

the sum of angles must be shown first by using the angle addition postulate prior to equating them.

It follows from geometry in the mathematical.context that, Congruence is applicable to line segments, angles, and figures and it follows that if two angles are of equal measure, they are said to be congruent.

Hence, statement 3 defies the addition postulate and just concludes on the angle addition equation.

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PLEASE GIVE BRAINLIST

By reading this ithink the answer is B=median

A boxplot is a standardized way of displaying the dataset based on a five-number summary: the minimum, the maximum, the sample median, and the first and third quartiles. Minimum : the lowest data point excluding any outliers.

hope this helped

(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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Therefore , the solution of the given problem of fraction  comes out to be

height h = 3 meters.

Part of a whole is a fraction. The quantity is written as a quotient in mathematics, where the numerator and denominator are divided. Each is an integer in a simple fraction.

Here,

Given :

=> 48π m².

=> 5π meter and radius = 8/2 = 4 meter

=>π(4)(4)h =48π

=> 16πh = 48π

=> h = 3 meters

Whether  it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

Therefore , the solution of the given problem of fraction  comes out to be

height h = 3 meters.

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Answer:

Step-by-step explanation:

Answer:

y+8=5(x+2)

Step-by-step explanation:

Point slope form is  y-y₁=m(x-x₁) where m is the slope. For the question the slope is 5 so you would substitute 5 for m.

So now you have the equation  y-y₁=5(x-x₁), then all you have to do is substitute the points in.  y₁= -8 and  x₁=-2. If you substitute those points in, then you would get  y-(-8)=m(x-(-8)) or  y+8=5(x+2)

Please correct me if I'm wrong. I hope you understand!

Answer:

8.06

Step-by-step explanation:

That statement is true. When two integers are multiplied together, the result is always an integer. This property is a fundamental characteristic of integers.

Integers are whole numbers that can be positive, negative, or zero. When you multiply any two integers, the result will always be another integer.

For example:

- Multiplying two positive integers: 3 * 4 = 12

- Multiplying a positive and a negative integer: (-5) * 6 = -30

- Multiplying two negative integers: (-2) * (-8) = 16

- Multiplying an integer by zero: 9 * 0 = 0

In each case, the product of the integers is still an integer. This property holds true regardless of the specific values of the integers being multiplied.

It is important to note that this property does not apply to all real numbers. When multiplying real numbers, the result may not always be an integer. However, when specifically dealing with integers, their multiplication will always yield an integer result.

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An integer multiplied by an integer is an integer. True or False?

Answer:

3

Step-by-step explanation:

HCF(a, b) x LCM(a, b) = a x b

We are given that LCM(18, 21) = 126. Let's use this to find the HCF:

HCF(18, 21) x 126 = 18 x 21

HCF(18, 21) = (18 x 21) / 126

HCF(18, 21) = 3

Therefore, the HCF of 18 and 21 is 3.

Para resolver este problema, primero tenemos que multiplicar las fracciones:

3/5 x 4/7 = 12/35

Luego, encontramos cuántas docenas son 12/35 de 420 docenas:

(12/35) x 420 = 144

Así que 3/5 de 4/7 de 420 docenas (que es equivalente a 12/35 de 420 docenas) representa 144 docenas de huevos.

Para encontrar el número total de huevos, multiplicamos 144 docenas por 12 huevos por docena:

144 x 12 = 1,728

Por lo tanto, 3/5 de 4/7 de 420 docenas representa 1,728 huevos.

Answer:

<1 and <8 are alternate exterior angles

<4 and <6 and same said interior angles

<3 and <6 are alternate interior angles

Step-by-step explanation:

The correct options are 1) ∠ 1 and ∠ 8 are alternate exterior angles, 2) ∠ 4 and ∠ 6 are same side interior angles, 4) ∠ 2 and ∠ 8 are corresponding angles and 5) ∠ 3 and ∠ 6 are alternate interior angles, this is true.

The amount of space between two straight lines that have a common end point is called angle. Two angles can be related if certain conditions are met.

Given that, lines m and n are intersected by a transversal l, making angles 1, 2, 3, 4, 5, 6, 7 and 8

∠ 1 and ∠ 8 are alternate exterior angles, this is true.

∠ 4 and ∠ 6 are same side interior angles, this is true.

∠ 5 and ∠ 7 are vertical angles, no this is not true because these are making a linear pair angles.

∠ 2 and ∠ 8 are corresponding angles, this is true.

∠ 3 and ∠ 6 are alternate interior angles, this is true.

Hence, the correct options are 1, 2, 4, and 5

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Step-by-step explanation:

it is very easy solve I will tell you if u follow me we should help each other

the solutions for a system of equations is where the graphs of each equation meet or intersect.

for the picture above with two parallel lines, well, the lines are parallel and apart from each other, that means they never meet or intersect, and since they never intersect, they have no solution.