Write the quadratic function f(x) = −(x + 4)2 − 6 in standard form.

The value of the test statistic is given as follows:

z = 4.47.

The equation to calculate the test statistic using the z-distribution is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{p} = 0.59, p = 0.5, n = 618\)

p = 0.5 as the most term means that we are testing if the proportion is either less than or greater than 0.5.

Then the test statistic is obtained as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.59 - 0.5}{\sqrt{\frac{0.5(0.5)}{618}}}\)

z = 4.47.

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Answer:

2/18

Step-by-step explanation:

Answer:

2/18

Step-by-step explanation:

2/1=2

2*9=18

2/18

Hope this helps. Have a nice day you amazing bean child.

Answer:

I'm pretty sure it's 24

Step-by-step explanation:

4,9, and 16 can make a perfect square.

it is 24:) because 4 and 16 deftienly can make a perfect square and 9 can to

The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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The sum of the given fractions is (2x + 10)/x.

What is fraction ?

A fraction is a way of representing a part of a whole or a ratio between two quantities. It is written in the form of a numerator and a denominator separated by a horizontal line. The numerator represents the number of equal parts under consideration, while the denominator represents the total number of equal parts that make up the whole. For example, the fraction 3/4 represents three equal parts out of a total of four equal parts. Fractions can be added, subtracted, multiplied, and divided to perform various mathematical operations.

According to the question:
The given fractions can be added if they have a common denominator. In this case, the common denominator is 9x.

So, we need to write the fractions with 9x as the denominator:

2/1 * (9x/9x) = 18x/9x

10/1 * (9/9x) = 90/9x

Now, we can add these two fractions:

18x/9x + 90/9x = (18x + 90)/9x = 9(2x + 10)/9x = 2x + 10/ x

Therefore, the sum of the given fractions is (2x + 10)/x.

Q: Find K by Adding the fractions and simplify if possible k=(2*(9x))+(10*(9x))

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Answer:

x³+3x²+3x+1

Step-by-step explanation:

=(x+1)(x+1)(x+1)

=(x+1)(x²+x+x+1)

=(x+1)(x²+2x+1)

=(x³+2x²+x+x²+2x+1)

=x³+3x²+3x+1

\( {(x + 1)}^{3} \\ (x + 1) {(x + 1)}^{2} \\ (x + 1)( {x}^{2} + 2x + 1) \\ {x}^{3} + 2 {x}^{2} + x + {x}^{2} + 2x + 1 \\ {x}^{3} + 3 {x}^{2} + 3x + 1\)

Hope it helps

Please give brainliest

A, percentages

You would see percentages on a circle graph, because it's how many parts of the whole that they take up.

Happy to help, have a great day! :)

Answer:

x ≤ 7.25

Step-by-step explanation:

1) \(3x + 4.5\) ≤ \(5(x - 2)\)

Distribute 5 through the parenthesis.

2)  \(3x + 4.5\) ≤ \(5x - 10\)

Move the variable to the left side and change it's sign.

3)  \(3x + 4.5 - 5x\) ≤ \(- 10\)

Move the constant to the right side and change it's sign.

4)  \(3x - 5x\) ≤ \(- 10- 4.5\)

Subtract the like terms.

5) \(-2x\) ≤ \(-14.5\)

Divide both sides of the inequality by -2.

6) \(x\) ≤ \(7.25\)

Answer:

21 dollars

Step-by-step explanation:

like my answer pls :)

Kevin will have to pay the amount of $21 for the necklace when the necklace is 40% off.

The percentage is defined as a ratio expressed as a fraction of 100.

Kevin wishes to purchase a $35 necklace for his mother. If the necklace is on sale for 40% off,

If the necklace is 40% off, Kevin will have to pay 60% of the original price, since 100 - 40 = 60.

To find out how much Kevin will have to pay, you can multiply the original price of the necklace by 60% and then divide the result by 100 to convert it to a dollar amount.

For example, if you multiply $35 by 60% and then divide by 100, you get:

($35 × 60%) / 100 = $21

Therefore, he will have to pay $21 for the necklace.

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This is because we have two pairs of congruent sides (AB = CD and AC = CA) with a pair of congruent angles between them. Those angles are the alternate interior angles BAC and DCA

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

Similar to reason 2, but the converse means we go in reverse more or less. The original theorem states that if we have parallel lines, then the alternate interior angles are congruent. This time we know the alternate interior angles are congruent, so we conclude the lines are parallel.

Answer:

see below

Step-by-step explanation:

Reason 4 is SAS  AB = CD, BAC = DCA  and AC = CA so we have Two sides and the included angle

Reason 6 is if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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Answer:

B - u>90 on edge

Answer:

B. µ > 90

Step-by-step explanation:

I can confirm that the answer to your question is B.

The exponential function obtained from the table is represented by the formula y is 650(1.045)x.

A function with the exponential shape is:

y = abˣ

where an is y's initial value, b are multipliers, and y and x are variables.

The bacterial population at x hours should be represented by y.

With 650 bacteria cells at the beginning, the group.

a = 650

4.5% is the growth rate.

b = 100% + 4.5% = 104.5% = 1.045

The exponential function obtained from the table is represented by the formula y = 650(1.045)x.

The exponential function obtained from the table is represented by the formula y is 650(1.045)x.

Thirty hours later:

y = 650(1.045)³⁰ = 2434.

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The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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Answer:

error

Step-by-step explanation:

I'm sorry, but I need more information to calculate the average budget across the four quarters. Can you please provide me with the values of the budget for each quarter? Once I have this information, I can calculate the average and then determine the percentage difference between the average and the estimated budget for next year.

The distance of the given coordinates (See attached image) are:

AB) 10

CD) 7
EF) 6

GH) 15

JK) 12

To solve the distance between the above coordinates, one must use the following formula:

d = √[(x2 - x1)² + (y2 - y1)²]

AB)
Distance (d) = √[(7 - -3)² + (5 - 5)²]

= √(10)² + (0)²

= √100

Distance = 10

CD) Distance (d) = √[(-6 - 1)² + (-3 - -3)²]

= √(-7)² + (0)²

= √49

Distance = 7

EF) Distance (d) = √[(2-2)² + (-3-(-9))²]
= 6

GH)
Distance (d) = √[(6-6)² + (16-1))²]

= 15

JK)
Distance (d) = √[(-3-(-3))² + (12-0))²]

= 12

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Full Question:

Although part of your question is missing, you might be referring to this full question: See attached image.

Answer:

y – 2 = 4x

3y = –9x – 6

Step-by-step explanation:

Answer:

a, c, d

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

BECAUSE x-25 = 3

shows something mines 25 that equals 3

The compound inequality for the graph given is  -2 < x < 5.

When a compound inequality is graphed such that there is an open circle instead of a filled - in circle over a number, then it means that x is either greater than this value, or less than this value. In other words, x is not equal to this value.

The circles over - 2 and 5 are not filled in which means that x is greater or less than - 2 and 5.

x is less than 5 because the arrow goes from 5 to infinity and x is greater than - 2 for the same reason.

The compound inequality is therefore:

-2 < x < 5

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Answer:

I'll help you

Step-by-step explanation:

In the given set of data, mean is 0.352, range is 0.86, median is 0.31, interquartile range is 0.28, mode is 0.12 and 0.24, and standard deviation is 0.81.

A data set is a certain number of data given in any order.

Given, the measurements for 13 children are: 0.10, 0.25, 0.50, 0.4, 0.12, 0.12, 0.24, 0.24, 0.31, 0.36, 0.42, 0.55, 0.96.

By rearranging the data set in ascending order we get:

(0.10, 0.12, 0.12, 0.24, 0.24, 0.25, 0.31, 0.36, 0.4, 0.42, 0.50, 0.55, 0.96.)

1. Therefore, mean

= (0.10 + 0.25 + 0.50 + 0.4 + 0.12 + 0.12 + 0.24 + 0.24 + 0.31 + 0.36 + 0.42 + 0.55 + 0.96)/13

= 4.57/13

= 0.352

2. Therefore, range

= (0.96 - 0.10)

= 0.86

3. Therefore, median = 0.31

4. Here, median of the first half of the data set is

= Q₁

= (0.12 + 0.24)/2

= 0.18

Again, median of the second half of the data set is

= Q₃

= (0.42 + 0.50)/2

= 0.46

Therefore, the interquartile range

= (Q₃ - Q₁)

= (0.46 - 0.18)

= 0.28

5. Therefore, mode = 0.12, 0.24

6. Therefore, standard deviation is

= √[(x₁ - X)² + (x₂ - X)² + (x₃ - X)² + (x₄ - X)² + (x₅ - X)² + (x₆ - X)² + (x₇ - X)² + (x₈ - X)² + (x₉ - X)² + (x₁₀ - X)² + (x₁₁ - X)² + (x₁₂ - X)² + (x₁₃ - X)²]

Here, x₁, x₂,......, x₁₃ are given data set in ascending order.

X = mean of the given data set.

Therefore, standard deviation is

= √[(0.10 - 0.352)² + (0.12 - 0.352)² + (0.12 - 0.352)² + (0.24 - 0.352)² + (0.24 - 0.352)² + (0.25 - 0.352)² + (0.31 - 0.352)² + (0.36 - 0.352)² + (0.40 - 0.352)² + (0.42 - 0.352)² + (0.50 - 0.352)² + (0.55 - 0.352)² + (0.96 - 0.352)²]

= √[.064 + 0.054 + 0.054 + 0.013 + 0.013 + 0.01 + 0.0018 + 0.00006 + 0.0023 + 0.0046 + 0.023 + 0.039 + 0.37]

= √(.6488)

= 0.81

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Answer:

173 988

Step-by-step explanation:

£135,000 of   4.296% times 30

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

The numeric values for this problem are given as follows:

The function in this problem is a piecewise function, meaning that it has different definitions based on the input x of the function.

For x between -2 and 2, the function is defined as follows:

g(x) = -(x - 1)² + 2.

Hence the numeric value at x = -1 is given as follows:

g(-1) = -(-1 - 1)² + 2 = -4 + 2 = -2.

For x at x = 2 and greater, the function is given as follows:

g(x) = 0.5x - 1.

Hence the numeric values at x = 2 and x = 3 are given as follows:

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The  techniques that can be used to best explain for each equation that I have created are:

A)  For  graphing -  This is often used in checking if your answer is correct, if the math is known to be a little tedious, graphing is recommended

(b) For factoring:  x^2 -3x +4 '

Where: (x-4)(x+1)=0

Then x=-1, 4

(c) For  square root method:   x^2 = 64

Therefore x = + or - \(-\sqrt{64}\) = + or - 8

(d) For  completing the square:  x^2 + 4x = 11 and x^2 +4x + 4

Note that:  x^2 +4x + 4

= x^2 + 4x = -4

= x^2 +4x + 4 = -4 + 4

= (x+2)^2 = 0

So, x = -2

(e) For quadratic formula: 6x² + 7x -19 =0  

x= [-b + or - sqr(b² - 4ac)]/2a

Note that b=7

a=6

c=-19

Therefore

x= [-7+ or - sqr(49+4(6)(9)]/2

2.  if the discriminant is said to be negative,   then the equation is one that is made up of two imaginary or complex solutions.

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See full question below

You have learned several techniques for solving quadratic equations. Create an equation that would be best for each technique listed below. Then explain why that technique would be best for each equation that you created.

a. graphing

b. factoring

c. square root method

d. completing the square

e. quadratic formula

2. What is the discriminant and what happens if you are solving and the discriminant turns out to be negative?

Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Step-by-step explanation:

Since force doesn't depend on mass and varies directly, you can set up a proportion. group the F's together and the acceleration together, as so

\( \frac{20}{16} = \frac{5}{x} \)

Next, cross m multiply

\(20x = (16)(5)\)

\(20x = 80\)

Lastly, divide by 20

\(x = 4m {s}^{2} \)

The acceleration of the object when force is 16N is 4m/s².

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The force acting on the object varies directly with the object's acceleration.

Therefore, F ∝ a.

F = ka.

20 = 5k.

k = 4.

Now,

16 = 4a.

a = 4.

So, The acceleration is 4m/s²

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Answer:

Step-by-step explanation:

selecting Bag |1/2

p(red from bag ||)=1/2×5/11=5/22

Answer:

X=6

Step-by-step explanation:

5x+(x+54)=90

6x+54=90

6x=36

X=6

Answer:

An airplane which has airspeed of 575 hm/hr head directly east the win is blowing with a velocity of 8.20 km/hr

Step-by-step explanation: