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Answer:

a. $2908.93

Step-by-step explanation:

We use the formula:

A = P( 1 + r)^t

P = $1986

r = 4% = 0.04

t = 23 years

Let's solve

A = 1986(1 + 0.04)^23

A = 1986( 1 + 0.04)

A = 1986( 1.04)^23

A = $4894.925

Now we take

$4894.925 - $1986 = $2908.925

$2908.925 round-up =  $2908.93

So, the answer is A

1. m may be higher or lower than the population mean.
2. The value of m is not necessarily representative of the population mean.
3. The sampling distribution of m is not necessarily normal.
4. The mean, median, and mode of the sample may all be different.

Assuming that the population from which you select your sample is not normal, the following statements about m (the mean of the sample) are true:
1. m may be higher or lower than the population mean.
2. The value of m is not necessarily representative of the population mean.
3. The sampling distribution of m is not necessarily normal.
4. The mean, median, and mode of the sample may all be different.

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When a population is not normal, it means that the distribution of the data is not symmetric and has non-uniform spread.

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Answer:

-5/2, -2.3, sqrt2, sqrt5, 2 1/4, 2.3, 4

The mean square within groups (MSW) is approximately 2.190, rounded to three decimal places.

Mean square within groups (MSW) is a statistical term that represents the average sum of squares within groups in an analysis of variance (ANOVA) calculation. To calculate MSW, we divide the sum of squares within groups (SSW) by the degrees of freedom within groups (dfw).

Given that the total sum of squares (SST) is 210 and the between-groups sum of squares (SSB) is 72, we can calculate the sum of squares within groups (SSW) as follows:

SSW = SST - SSB

   = 210 - 72

   = 138

Since we are given that there are 63 within-groups degrees of freedom (dfw), we can calculate the mean square within groups (MSW) by dividing the sum of squares within groups (SSW) by the degrees of freedom within groups (dfw):

MSW = SSW / dfw

   = 138 / 63

   ≈ 2.190 (rounded to three decimal places)

Therefore, the mean square within groups (MSW) is approximately 2.190, rounded to three decimal places.

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The approximate probability that a 47% shooter makes 5 or more shots in 10 attempts is 12/25

Given,

Number of trials of the simulation were performed = 25

Number of set of simulated shots = 10

We have to find the approximate probability that a 47% shooter makes  5 or more shots in 10 attempts;

The dots in the 5 shot mark is 9, 6 shot mark is 2, and 7 shot mark is 1.

Now the approximate probability that a 47% shooter makes 5 or more shots in 10 attempts can be calculated below:

P(x5) = (dots in 5 short mark + dots in 6 shot mark + dots in 7 short mark) / 25

= (9 + 2 + 1) / 25

 = 12 / 25

Therefore, the approximate probability that a 47% shooter makes 5 or more shots in 10 attempts is 12/25

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The correct answers about school's population and year are - a. 744, b. 4 years, c. 186 and d. 1208.

The population growth between 2004 and 2008 = population in 2008 - population in 2004

Population growth = 1766 - 1022

Population growth = 744

Time taken for population to reach = final population year - initial population year

Time taken = 2008 - 2004

Time taken = 4 years

Average population growth per year = (final - initial year)/(final - initial population)

Average population growth per year = (1766 - 1022)/(2008 - 2004)

Average population growth per year = 744/4

Average population growth per year = 186

(Year 2004 - year 2001) × Average = (Population in year 2004 - population in year 2000)

3 × 186 = 1766 - Population in year 2000

558 = 1766 - Population in year 2000

Population in year 2000 = 1766 - 558

Population in year 2000 = 1208

Thus, the answers are 744, 4 years, 186 and 1208.

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Answer:

X = 9
Landyn is 9 and his brother is 14

Step-by-step explanation:

X + Y = 23
Y = X + 5
X + X + 5 = 23
2x + 5 + 23

     - 5   - 5  

2x / 2 = 18 / 2

Simplified = 9 / 1
Y = 9 + 5
Y = 14

The number of basic lotions (B), premium lotions (P), and luxury lotions (L) that the company should manufacture are:

Number of Basic lotions (B) = 41

Number of Premium lotions (P) = 42

Number of Luxury lotions (L) = 21

Let's assign the variables B, P, and L to represent the number of basic, premium, and luxury lotions, respectively, that the company should manufacture.

Given the cost and selling price of each lotion, we can set up the following equations:

Cost equation:

2B + 11P + 13L = 817

Revenue equation:

6B + 19P + 22L = 1506

Quantity equation:

B + P + L = 104

We now have a system of three linear equations. To solve for the variables B, P, and L, we can use various methods, such as substitution or elimination.

Let's solve the system using the substitution method:

From equation 3), we can express B in terms of P and L as:

B = 104 - P - L

Substituting this expression for B in equations 1) and 2), we can eliminate B from the equations:

2(104 - P - L) + 11P + 13L = 817

6(104 - P - L) + 19P + 22L = 1506

Simplifying the equations:

208 - 2P - 2L + 11P + 13L = 817

624 - 6P - 6L + 19P + 22L = 1506

Combining like terms:

9P + 11L = 609

13P + 16L = 882

Now, we can solve this system of equations using either substitution or elimination methods. I'll use the elimination method:

Multiplying the first equation by 13 and the second equation by 9:

117P + 143L = 7917

117P + 144L = 7938

Subtracting the first equation from the second equation:

117P + 144L - (117P + 143L) = 7938 - 7917

L = 21

Substituting the value of L back into the first equation:

9P + 11(21) = 609

9P + 231 = 609

9P = 609 - 231

9P = 378

P = 42

Substituting the values of P and L into the quantity equation (equation 3):

B + 42 + 21 = 104

B = 104 - 63

B = 41

Therefore, the number of basic lotions (B), premium lotions (P), and luxury lotions (L) that the company should manufacture are:

Number of Basic lotions (B) = 41

Number of Premium lotions (P) = 42

Number of Luxury lotions (L) = 21

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Answer: 960 cm cubed.

Explanation:

The formula is 1/2 * l * w * h

So, 1/2 (12) (10) (16) = 960

Hope it helps :)

Answer:

A

Step-by-step explanation:

Edge

The value of probability P(A ∩ B) = 3/10 = 0.3.

Probability is a measure of the likelihood of a particular event occurring. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain to occur.

Probability is used in many fields such as statistics, finance, economics, and science to make predictions and decisions based on uncertain information

Event A is drawing an odd card, which means that the odds are 5/10 or 1/2.

Event B is drawing a four or higher, which means that the odds are 7/10.

Event A ∩ B means that we are interested in the probability of drawing an odd card and drawing a card of four or higher at the same time. There are 3 cards that are both odd and four or higher, which are 5,7, and 9. So the probability of drawing one of these cards is 3/10.

Therefore, The value of probability P(A ∩ B) = 3/10 = 0.3.

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Answer:

2.3333333333333333333333333333333 sec

If a business had sales of $4,000,000, and a margin of safety of 25%, the break-even point was is c. $1,000,000.

The margin of safety is the difference between the actual or expected sales and the break-even point. In this case, if the margin of safety is 25%, it means that the business is generating sales that are 25% higher than the break-even point.

To calculate the break-even point, we can use the following formula:

Break-even point = Fixed costs / Contribution margin ratio

The contribution margin ratio is the difference between the sales price and variable costs, divided by the sales price. We don't have enough information to calculate it directly, but we can use the margin of safety to estimate it.

If the margin of safety is 25%, it means that the contribution margin ratio is 25% of the sales price. So, the variable costs must be 75% of the sales price, and the contribution margin ratio is 25%/100% = 0.25.

We know that the sales are $4,000,000, but we don't know the fixed costs. However, we can use the break-even formula to solve for it:

$1,000,000 = Fixed costs / 0.25

Fixed costs = $250,000

Therefore, the break-even point is $250,000 / 0.25 = $1,000,000.

Based on the given information, the break-even point for the business with sales of $4,000,000 and a margin of safety of 25% is $1,000,000.

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The total cost of each utility eliminating 450 tons of pollution is $180,000.

To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.

For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.

For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.

Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.

The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.

In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.

Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.

This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.

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The total number of 5- digit even palindromes present is 400 numbers.

For the stated question-

For example, 23432, 85658,

The number of 5- digit even palindromes are formed as;

4 * 10 * 10 = 400.

Thus, the total number of 5- digit even palindromes present is 400 numbers.

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Answer: your gonna add 3,000+ 5,000 then you will add test answer to 157.50 then you’ll put the answer for 3,000+5,000 then you’ll put that in the first box then you’ll add that number two 157.50

Step-by-step explanation:

Hope this helps

:3 have an amazing day or a beautiful day:)

Answer:

BX = 7 inches

Step-by-step explanation:

Since ABCD is a rectangle, the diagonals are equal and bisect each other

⇒ AC = BD and

AX = CX = BX = DX = AC/2 = BD/2

⇒ BX = A/2

⇒ BX = 14/2

⇒ BX = 7

The opposites of the given numbers are -9, 4.8, -1.15, and -6 1/2

The opposite of a number is simply the number with the sign reversed. For positive numbers, the opposite is obtained by adding a negative sign, while for negative numbers, the opposite is obtained by removing the negative sign.

So, for the number 9, its opposite is -9. For -4.8, its opposite is 4.8. Similarly, for 1.15, the opposite is -1.15, and for 6 1/2, the opposite is -6 1/2.

In summary, the opposites of the given numbers are -9, 4.8, -1.15, and -6 1/2. These opposites have the same magnitude as the original numbers but differ in sign, representing the opposite direction on the number line. Remember that when finding the opposite of a number, you only change the sign and keep the magnitude unchanged.

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Answer:

0 < x ≤ 11

Step-by-step explanation:

perimeter = (x - 6) + (x - 6) + x + x

⇒ perimeter = 4x - 12

If the perimeter is "at most 32" then

4x - 12 ≤ 32

⇒ 4x ≤ 44

⇒ x ≤ 11

Therefore,  0 < x ≤ 11

The percentage computed depicts that the banking fee is R218.

Your information is incomplete as the required percentage is not given. Therefore, an overview will be given.

Let's assume that the fee charged is 2% on the deposit and that the first 1500 is free. Therefore, the banking fee will be:

= 2% × (12400 - 1500)

= 2% × 10900

= R 218.

In conclusion, the banking fee is R218.

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Answer: 43.2 divided by 16 equals two point seven (2.7).

Step-by-step explanation: Look at the TXT file below for proof!

Mark this answer as the "Brainilest" if you get it correct so other people can refer to this!

Answer: 27

HOPE THIS HELPS

Answer:

dy/dx = cos(x)

Step-by-step explanation:

Differentiate both sides of the equation. d d x ( y ) = d d x ( sin ( x ) ) The derivative of y with respect to x is y ' . y ' The derivative of sin ( x ) with respect to x is cos ( x ) . cos ( x ) Reform the equation by setting the left side equal to the right side. y ' = cos ( x ) Replace y ' with d y d x . d y d x = cos ( x )

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Answer:

\({ \tt{6 < x - 2 < 14}} \\ \\ { \tt{(6 + 2) < x < (14 + 2)}} \\ \\ \dashrightarrow \: { \tt{8 < x < 16}}\)

Hello there. To solve this question, we have to remember how to graph a function.

First, remember that the logarithm in any base is an injective function (one-to-one).

We have to find its key-features before graphing it.

These key-features includes: x-intercept, y-intercept (if it exists), its vertical asymptote.

Okay. To find the x-intercept, set the function equal to zero:

Adding 1 on both sides, we get

Apply the property:

Hence we have

So the x-intercept happens at x = 3.

To determine whether or not it has an y-intercept, we check if the limit as x goes to zero from both sides exists and are equal:

In this case, this means we cannot evaluate this function at x = 0, so it doesn't have y-intercept(s).

Next, to determine its vertical asymptote, we check the value of x for which the argument goes to zero, that is

Therefore it has a vertical asymptote at x = 0.

The graph is then given by:

This is a sketch of the graph of the function.

The final answer to this question is contained in the last option.

Answer:

Square footage

Step-by-step explanation:

Answer:

x = 8

Is that what you wanted?

Answer:

380.13

Step-by-step explanation:

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