Please answer ASAP
show work and explain error please
Thank you so much

On solving the provided question we can say that As a result, the expression estimated value of purchases that should appear in the profit and loss statement for the fiscal year ended 30 June 2016 is $45,000.

An expression in mathematics is a collection of representations, digits, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a combination of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the representation of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

We do not have access to all of the essential information to establish the worth of purchases since Ame does not keep full accounting records.

The following formula is a standard way to estimate purchases:

Purchases = Sales Cost + Closed Inventory - Opening Inventory

Sales Revenue x Gross Profit Margin = Cost of Sales

Sales Cost = $100,000 x 0.4 = $40,000

Purchases = Sales Cost + Closed Inventory - Opening Inventory

Purchases = $45,000 ($40,000 + $15,000 - $10,000).

As a result, the estimated value of purchases that should appear in the profit and loss statement for the fiscal year ended 30 June 2016 is $45,000.

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Answer:

a) 0.0282 = 2.82% probability that all of the sprinklers will operate correctly in a fire

b) 0.6496 = 64.96% probability that at least 7 of the sprinklers will operate correctly in a fire.

Step-by-step explanation:

For each sprinkler, there are only two possible outcomes. Either they will operate correctly, or they will not. The sprinklers activate correctly or not independently, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The researchers estimate the probability of a sprinkler to activate correctly to be 0.7.

This means that \(p = 0.7\)

10 sprinklers.

This means that \(n = 10\)

a. What is the probability that all of the sprinklers will operate correctly in a fire?

This is \(P(X = 10)\). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 10) = C_{10,10}.(0.7)^{10}.(0.3)^{0} = 0.0282\)

0.0282 = 2.82% probability that all of the sprinklers will operate correctly in a fire.

b. What is the probability that at least 7 of the sprinklers will operate correctly in a fire?

This is:

\(P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)\)

So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 7) = C_{10,7}.(0.7)^{7}.(0.3)^{3} = 0.2668\)

\(P(X = 8) = C_{10,8}.(0.7)^{8}.(0.3)^{2} = 0.2335\)

\(P(X = 9) = C_{10,9}.(0.7)^{9}.(0.3)^{1}= 0.1211\)

\(P(X = 10) = C_{10,10}.(0.7)^{10}.(0.3)^{0} = 0.0282\)

Then

\(P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.2668 + 0.2335 + 0.1211 + 0.0282 = 0.6496\)

0.6496 = 64.96% probability that at least 7 of the sprinklers will operate correctly in a fire.

Answer:

They are the same.

Step-by-step explanation:

1.700 is the exact same as 1.7, but with extra, unneeded zeros.

Answer:

Both are equal

cut the zeros and u will see tht both have the same digits

pls mark me brainliest

hope u understood!

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer:

yeah your teeth is good and strong too

Answer:

Have a good day

Step-by-step explanation: and so have a good day

Two companies A and B rent out trucks,

Company A charges $118 and allows unlimited mileage,

Company B charges an initial fee of $55 and $0.90 per mileage

Let m represent the number of miles,

Total fees for company B will be,

The expression to represent the mileage company A will charge less than company B can be given below in inequality form as,

To find m, by collecting like terms above,

Since the number of miles company B must drive is 70 miles to have the exact charges as company A

Hence, at above 70 miles, company A will charge less than company B.

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer:

Step-by-step explanation:

Find the asymptotes.

Vertical Asymptotes:

x

=

0

Horizontal Asymptotes:

y

=

0

No Oblique Asymptotes

Answer:

It is False

Step-by-step explanation:

16>17 is not a true statement.

Answer:

Step-by-step explanation:

100%-4%=96%

96/100=0.96

£1700*0.96^4=£1443.89

Answer:

Step-by-step explanation:

I HOPE it's help you

Answer:

The probability that both number cubes have the number 4 facing up is 1/36.

Step-by-step explanation:

For a cube, we have the number:

1,2,3,4,5 and 6

The number 4 only occurs once in the six.

So, the probability of having the number 4 in a single roll is 1/6.

Now, for two rolls, we have two probabilities which we will have to multiply.

Thus, we have the probability as:

\( \frac{1}{6} \times \frac{1}{6} = \frac{1}{36} \)

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

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Step-by-step explanation:

Why do people do zoom on here

this is an app for learning not for people to join ur mettings that could be inapporpiate

Given the following equation:

Step 1. You must apply the Distributive property:

Step 2. Solve the subtraction:

Step 3. Apply the Subtraction property of equality by subtracting 8 from both sides of the equation:

Step 4. Apply the Division property of equality by dividing both sides of the equation by 3:

The solution is:

Answer:

24.5%

Step-by-step explanation:

Given

P(Off-Campus) = 0.30

P(Part-Time Job | Off-Campus) = 0.62

P(Part-Time Job | On-Campus) = 0.65

Inferred

P(On-Campus) = 0.70

P(No Part-Time Job | Off-Campus) = 0.38

P(No Part-Time Job | On-Campus) = 0.35

Calculation

P(No Part-Time Job | On-Campus) = P(No Part-Time Job ∩ On-Campus)/P(On-Campus)

0.35 = P(No Part-Time Job ∩ On-Campus)/0.70

0.245 = P(No Part-Time Job ∩ On-Campus)

Therefore, 24.5% of students that live on campus do not have a part-time job.

Given:

y=0, y+10+10  

statement of equality between two expressions consisting of variables and/or numbers

to solve the equation y+10+10, if y=0

substitute the value y=0, in the equation

which is equal to y+10+10= 0 +10 + 10 = 20

so the final answer is 20.    

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The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:

Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:

(x^3 - 12x^2) + (-2x + 24)

Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:

x^2(x - 12) - 2(x - 12)

Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:

(x - 12)(x^2 - 2)

Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

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The probability that the spinner lands on yellow and the coin toss is heads is 9/20.

To find the probability that the spinner lands on yellow and the coin toss is heads, we need to determine the probability of each event and then multiply them together.

The probability of the spinner landing on yellow is given by the number of yellow sections (18) divided by the total number of sections (20). Therefore, the probability of the spinner landing on yellow is 18/20 or 9/10.

The probability of the coin toss resulting in heads is 1/2 since there are two equally likely outcomes, heads and tails.

To find the probability of both events occurring together, we multiply the individual probabilities:

Probability (Spinner lands on yellow and Coin toss is heads) = Probability (Spinner lands on yellow) * Probability (Coin toss is heads)

= (9/10) * (1/2)

= 9/20

Therefore, nine out of twenty times, the spinner will fall on yellow and the coin will come up heads.

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Answer:

  A.  opens downward; vertex (3, 11)

Step-by-step explanation:

The leading coefficient is negative (-1), so we know the parabola opens downward.

The vertex in the form ...

  A(x) = a(x -h)² +k

is (h, k). Comparing to the given equation, we find (h, k) = (3, 11).

The vertex is (3, 11).

um, im not sure but probably:

-driving record

-income

Answer: D, x^3 (x-7)

Step-by-step explanation:

plug into G(f(x))

x^3 (x - 7)

The velocity of the apple, to the nearest hundredth, when it hit the ground is equal to 13.35 meters per seconds.

In Mathematics, a function is a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.

From the information provided about an apple that fell off a branch of the tree, a function that models the velocity of the apple include the following:

Velocity = (19.8d)^{1/2}

Where:

d represents the distance in meters.

Velocity = (19.8 × 9)^{1/2}

Velocity = (178.2)^{1/2}

Velocity = 13.35 meters per seconds.

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a) Mean for the first year of the contract: $63,500

The standard deviation for the first year of the contract: $2,000.

b) Mean for the second year of the contract: $65,405.

The standard deviation for the second year of the contract: $60.

We have,

To find the mean and standard deviation for the first year of the contract, we can use the given information and the properties of the normal distribution.

Given:

The mean salary for professors in the previous year = $62,000

Standard deviation in the previous year = $2,000

Raise in the first year = $1,500

Mean for the first year of the contract:

The mean salary for the first year can be obtained by adding the raise to the previous mean:

Mean = Previous Mean + Raise

Mean = $62,000 + $1,500

Mean = $63,500

The standard deviation for the first year of the contract:

Since each professor receives the same raise, the standard deviation remains the same:

Standard Deviation = $2,000

Therefore, for the first year of the contract, the mean salary is $63,500, and the standard deviation remains $2,000.

Now,

In the second year of the contract, each professor receives a 3% raise based on their salary during the first year of the contract.

To find the mean and standard deviation for the second year, we can use the given information and the properties of the normal distribution.

Mean for the second year of the contract:

To calculate the mean for the second year, we need to add a 3% raise to the mean salary of the first year:

Mean = Mean of the first year + (3% * Mean of the first year)

Mean = $63,500 + (0.03 * $63,500)

Mean = $63,500 + $1,905

Mean = $65,405

The standard deviation for the second year of the contract:

Since each professor receives a raise based on their salary from the first year, the standard deviation also increases. To calculate the standard deviation, we multiply the standard deviation from the first year by the percentage increase:

Standard Deviation = Standard Deviation of the first year * (Percentage Increase / 100)

Standard Deviation = $2,000 * (3 / 100)

Standard Deviation = $2,000 * 0.03

Standard Deviation = $60

Therefore, for the second year of the contract, the mean salary is $65,405, and the standard deviation is $60.

Thus,

a) Mean for the first year of the contract: $63,500

The standard deviation for the first year of the contract: $2,000.

b) Mean for the second year of the contract: $65,405.

The standard deviation for the second year of the contract: $60.

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Answer:

D. 26

Step-by-step explanation:

3 1/4 as eighths is 26/8

Answer:

26

Step-by-step explanation:

x=4 is the t-coordinate of the f's critical point. For the function f, ascertain whether the point is a relative maximum, relative minimum, or neither.

Given that,

Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x) = (4 - x)/x³ for x > 0

We have to find

(a)Discover the t-coordinate of the f's critical point. For the function f, ascertain whether the point is a relative maximum, relative minimum, or neither.

We know that,

f'(x) = 4-x/x³ = 4/x³ - 1/x²

Critical point f'(x)=0

4-x/x³=0⇒x=4

Therefore, x=4 is the t-coordinate of the f's critical point. For the function f, ascertain whether the point is a relative maximum, relative minimum, or neither.

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Explanation:

The tallest national monument in America, it is a legendary engineering triumph, designed by Finnish-born architect Eero Saarinen. As part of the Jefferson National Expansion Memorial, the Gateway Arch serves to commemorate the accomplishments of 19th-century westward pioneers and celebrate the city’s role as the ‘Gateway to the West.’

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