for fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.

the range of the function f (x) = 12 - 3 x will be R = {24, 18, 12, 6, 0}.

We are given the function:

f (x) = 12 - 3 x

We are also given the domain of the function as:

D = {- 4, - 2, 0, 2, 4}

For x = - 4, we get that:

f (x) = 12 - 3 (- 4)

f (x) = 12 + 12 = 24

For x = - 2, we get that:

f (x) = 12 - 3 (- 2)

f (x) = 12 + 6 = 18

For x = 0, we get that:

f (x) = 12 - 3 (0)

f (x) = 12

For x = 2, we get that:

f (x) = 12 - 3 (2)

f (x) = 12 - 6 = 6

For x = 4, we get that:

f (x) = 12 - 3 (4)

f (x) = 12 - 12 = 0

So, the range of the function will be:

R = {24, 18, 12, 6, 0}

Therefore, the range of the function f (x) = 12 - 3 x will be R = {24, 18, 12, 6, 0}.

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As a result, the following equation can be used to determine x: Earnings total = $110 plus $0.12 (daily sales)

A mathematical statement proving the equality of two expressions is known as an equation. It often has one or more variables, and depending on the values of those variables, it can either be true or false. Equations are frequently shown by placing an equal symbol (=) between the two expressions, as in the following example: 2x + 3 = 9 According to this formula, the product of x multiplied by itself three times equals nine. By moving the equation around and carrying out operations on both sides until the variable is isolated, we can find the value of x.

given

$110 in total earnings plus x (daily sales)

Replace the specified values with:

$224 = $110 + x($950)

Simplify and find x's value:

$114 = x($950)

x = $114/$950

x = 0.12

As a result, the following equation can be used to determine x: Earnings total = $110 plus $0.12 (daily sales) .

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Answer:

-2

Step-by-step explanation:

\((5 \times 1) - 7 \\ 5 - 7 \\ - 2\)

Answer:

For ∆1 , x = 20 , y = 10√2

For ∆2 , x = y = 11

Step-by-step explanation:

Here in the first right angled triangle one of the angles is 45°. And one of the known side is 20 . We need to find out the value of x and y.

\(\rm\longrightarrow \underline{\underline{ x =20}}\)

Again , we use ratio of sine to find y , as ,

\(\rm\longrightarrow sin45^o =\dfrac{p}{b}\\ \)

\(\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{20}{y}\\ \)

\(\rm\longrightarrow y =\dfrac{20}{\sqrt2}=\dfrac{2\times 10}{\sqrt2}\\ \)

\(\rm\longrightarrow \underline{\underline{ y = 10\sqrt2}} \)

\(\qquad\rule{200}2\)

Again , in the second Triangle , we may use ratio of sine to find the value of y , as ;

\(\rm\longrightarrow sin45^o =\dfrac{p}{b}\\ \)

\(\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{y}{11\sqrt2}\\ \)

\(\rm\longrightarrow y =\dfrac{11\sqrt2}{\sqrt2}\\ \)

\(\rm\longrightarrow \underline{\underline{ y = 11}} \)

\(\rm\longrightarrow \underline{\underline{ x =11}}\)

The mean of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalie μ = 8.4 hours The standard deviation of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalier, σ = 1.8 hours.

The sample size, n = 40 We have to find the probability that their mean rebuild time exceeds 8.7 hours. We know that the sampling distribution of the sample means is normally distributed with the following mean and standard deviation.

We have to find the probability that the sample mean rebuild time exceeds 8.7 hours or Now we need to standardize the sample mean using the formula can be found using the z-score table or a calculator. Therefore, the probability that the mean rebuild time of 40 mechanics exceeds 8.7 hours is 0.1489.

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Answer:

C

Step-by-step explanation:

Slope can truly be anything as long as they're equal

Answer:

c.their slopes are equal

Answer:

Answer:

Graph C shows the solution for the inequality

Step-by-step explanation:

y - 4 > 2(x + 2)

y > 2x + 4 + 4

y > 2x + 8

Let y = 2x + 8, Then

X-intercept (0, 8)

Y-intercept (-4, 0)

Since the inequality sign is > we use broken line.

Put,  (0, 0)

y > 2x + 8

0 > 0+ 8

0 > 8 Which is false

so, the answer will be above the broken line

Hence , Graph C shows inequality

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Answer: 1/4

Step-by-step explanation:

Answer:

80 in

Step-by-step explanation:

To find the whole thing: 12 * 12 = 144

To find one square: 144/9 = 16

To find shaded areas: 16 * 5 = 80

Hope this helps =]

Answer:

A.(2,5)

Step-by-step explanation:

x=x

Step-by-step explanation:

finding by mathematical operation and distribution law over multiplication added with subtraction is the formula now it might be easy for you

Answer:

-35/8=t

Step-by-step explanation:

-7/4=2/5t

simplify by dividing each side by 2/5

-35/8=t

To order a calzone with 6 distinct topping from available list of 8 vegetarian toppings, number of choices of calzone available is 28.

Therefore, the answer is 28.

Total number of available toppings equals 8 and the number of toppings selecting is 6.

The number of ways calzone can be chosen with 6 distinct topping from 8 vegetarian toppings can be obtained by combination formula.

nCm = n!/ (m! × (n - m)!)

Therefore, the number of ways = nCm

= 8C6

= 8!/ (6! × (8 - 6)!)

= 8!/ (6! × 2!)

= (8 × 7)/ 2

= 28

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The system of the equation to represent the situation is

x + y = 179

2/3x + 3/4y = 128

Let,

Weight of first paperbacks, x = 2/3 pounds

Weight of second paperbacks, y = 3/4 pounds

x + y = 179 (1)

2/3x + 3/4y = 128 (2)

Multiply (1) by 3 and (2) by -4

3x + 3y = 537

-4(2/3x) + -4(3/4y) = -512

3x + 3y = 537

-8/3x - 3y = -512

Add both equations to eliminate y

3x + (-8/3x) = 537 + (-512)

3x - 8/3x = 537 - 512

(9-8)/3x = 25

1/3x = 25

x = 25 ÷ 1/3

x = 25 × 3

x = 75

Substitute x = 25 into (1)

x + y = 179

75 + y = 179

y = 179 - 75

y = 104

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Answer: ADG

Step-by-step explanation:

got them right

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:rr

yurrrrrrrrr yesyes ye s

Step-by-step explanation:

Answer:

Highest = Justin

Least = Sam

Step-by-step explanation:

Given

Represent Justin with J, Sam with S and Andra with A.

From the question, we understand that

J = 2¼ of S

A = ½ of J

Required

Determine who mowed the most and who mowed the least.

J = 2¼ of S

J = 2¼ * S

J = 2¼S

Also,

A = ½ of J

A = ½ * J

Substitute 2¼S for J

A = ½ * 2¼S

Convert to improper number

A = ½ * 9/4S

A = 9/8S

Convert to mixed number

A = 1⅛S

The above expression implies that Andra mowed 1⅛ lawns as Sam had.

To get a clearer picture of the question.

Assume that:

S = 16

i.e Sam mowed 16 lawns

Substitute 16 for S in A = 1⅛S

A = 1⅛ * 16

A = 9/8 * 16

A = 9 * 2

A = 18

Also, substitute 16 for S in J = 2¼S

J = 2¼ * 16

J = 9/4 * 16

A = 9 * 4

A = 36

By comparison

36 > 18 > 16

Or

J > A > S

This implies that;

Justin mowed highest and Sam mowed the least

a.) There are 635013559600 ways to break up a deck of 52 cards into four piles of 13 cards.

b.) There are approximately 1.0554516e+32 ways to break up a deck of 52 cards into three piles of eight cards and four piles of seven cards.

There are two parts to this question, so we will answer each part separately.

(a) Four piles of 13 cards:
To determine the number of ways a deck of 52 cards can be broken up into four piles of 13 cards, we can use the formula for combinations:

C(n,k) = n! / (k! * (n-k)!)

In this case, n = 52 (the number of cards in the deck) and k = 13 (the number of cards in each pile). Plugging these values into the formula gives us:

C(52,13) = 52! / (13! * (52-13)!)
C(52,13) = 52! / (13! * 39!)
C(52,13) = 635013559600



(b) Three piles of eight cards and four piles of seven cards:
To determine the number of ways a deck of 52 cards can be broken up into three piles of eight cards and four piles of seven cards, we can use the same formula for combinations, but we need to do it multiple times for each pile size:

C(52,8) = 52! / (8! * (52-8)!)
C(52,8) = 752538150

C(44,8) = 44! / (8! * (44-8)!)
C(44,8) = 26259678350

C(36,8) = 36! / (8! * (36-8)!)
C(36,8) = 30260340

C(28,7) = 28! / (7! * (28-7)!)
C(28,7) = 1184040

C(21,7) = 21! / (7! * (21-7)!)
C(21,7) = 116280

C(14,7) = 14! / (7! * (14-7)!)
C(14,7) = 3432

C(7,7) = 7! / (7! * (7-7)!)
C(7,7) = 1

Multiplying all of these combinations together gives us the total number of ways to break up the deck into the desired piles:

752538150 * 26259678350 * 30260340 * 1184040 * 116280 * 3432 * 1 = 1.0554516e+32

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Answer:

50.75 seconds

Step-by-step explanation:

0.0145 x 3500 = 50.75 sec

I hope this helps! Have a nice day!

Analysts use financial ratios rather than absolute numbers because ratios provide a more meaningful and comparative assessment of a company's financial performance.

Ratios allow for a standardized comparison between companies of different sizes and industries, facilitating a better understanding of their financial health, operational efficiency, and profitability.

Furthermore, ratios enable analysts to evaluate a company's performance over time and benchmark it against industry averages and competitors. Some examples of commonly used financial ratios include the current ratio, return on equity (ROE), and earnings per share (EPS).

Current Ratio: The current ratio measures a company's ability to meet its short-term obligations. It is calculated by dividing current assets by current liabilities. For example, if a company has current assets of $500,000 and current liabilities of $250,000, the current ratio would be 2 ($500,000 / $250,000). A higher current ratio indicates a stronger liquidity position, suggesting the company is better equipped to meet its short-term financial obligations.

Return on Equity (ROE): ROE measures a company's profitability relative to its shareholders' equity. It is calculated by dividing net income by average shareholders' equity and multiplying by 100 to express it as a percentage. For instance, if a company has a net income of $1 million and average shareholders' equity of $10 million, the ROE would be 10% ($1 million / $10 million * 100). A higher ROE signifies better profitability and efficient utilization of shareholders' capital.

Earnings per Share (EPS): EPS indicates the profitability of a company on a per-share basis. It is calculated by dividing net income attributable to common shareholders by the weighted average number of outstanding shares. For example, if a company has a net income of $5 million and 10 million weighted average shares outstanding, the EPS would be $0.50 ($5 million / 10 million). A higher EPS implies higher profitability for each share held by investors.

Financial ratios provide valuable insights into a company's financial performance and facilitate better comparisons and analysis. Absolute numbers alone may not convey the same level of meaningful information or allow for easy comparisons between companies. Ratios allow analysts to assess a company's financial health, profitability, liquidity, efficiency, and other key aspects relative to industry peers and historical performance.

They help identify trends, strengths, weaknesses, and potential investment opportunities or risks. While absolute numbers provide essential context, ratios offer a standardized framework for evaluation and decision-making, making them a preferred tool for financial analysis.

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Answer: 15

Step-by-step explanation: 60/4=15

the perimeter is the overall numbers that are on each side that add up since a square has 4 sides and the overall perimeter=60 in all then it's 60/4=15

Answer:

Step-by-step explanation:

Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:

\(\frac{sin55}{3.5} =\frac{sinx}{4}\) and cross multiply to get

4sin55 = 3.5sinx and solve for sinx:

\(sinx=\frac{4sin55}{3.5}\) so

sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle

x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°

Answer:

It is 70

Step-by-step explanation:

Khan Academy

Solution

Step-by-step explanation:

Start with $20.00.

Subtract the change, $4.08, from $20.00 to find out the amount he spent on 8 notebooks.

Then divide the amount he spent by 8 to find the cost of one notebook.

Answer:

$1.99

Step-by-step explanation:

20 - 4.08 = $15.92

15.92 divided by 8 = $1.99

Answer:

(-1,-3) and (2,6)

Step-by-step explanation:

Plug x (x value) into equation (outputs y value)

(x value, y value) which gives coordinates

Answer: 8

Step-by-step explanation:

Answer:

It should be f(3x^2 -2)=9x^4 -6x^2 -4

Step-by-step explanation:

Answer:

v d m because I got the answer from gogjle

Polygons are shapes that have the following:

-sides are all straight

-no overlapping

-shape is always closed

Hope this helps :)