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3 years ago

If a number is doubled then which of

Mathematics

1 answer:

Tamiku [17]3 years ago

6 0

Answer: Its cube is six times the

cube of the given number.

Step-by-step explanation:

Let's assume we have a number which is 2. The cube will be:

= 2³

= 2 × 2 × 2

= 8

Let's now assume, we double the number 2, we'll have 2 × 2 = 4. Therefore, the cube will be:

= 4³

= 4 × 4 × 4

= 64

Therefore, from the explanation above, 2 raise to power 6 is 64. This means, if a number is doubled, then its cube is six times the cube of the given number.

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Help please Thanks if you answered

hammer [34]

The answer is 3,600

6(245) + 15(142)

7 0

3 years ago

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa

Viefleur [7K]

Answer:

sigma should be used

Step-by-step explanation:

Given that The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years.

The above given is for sample of 27 size.

For hypothesis test to compare mean of sample with population we can use either population std dev or sample std dev.

But once population std deviation is given, we use only that as that would be more reliable.

So here we can use population std deviation 1.4 only.

If population std deviation is used we can use normality and do Z test

4 0

3 years ago

A stock loses 10% of its value on Monday. On Tuesday it loses 20% of the value it had at the end of the day on Monday. What is t

Natalija [7]

Answer: The overall percent loss is 28%.

Step-by-step explanation: Given that a stock loses 10% of its value on Monday and on Tuesday it loses 20% of the value it had at the end of the day on Monday.

We are to find the overall percent loss in value from the beginning of Monday to the end of Tuesday.

Let x represents the value of a stock at the beginning of Monday.

Then, the value of the stock at the end of Monday is given by

$x-10\%\times x=x-\dfrac{10}{100}x=x-\dfrac{x}{10}=\dfrac{9}{10}x.$

So, the value of the stock at the beginning of Tuesday is $\dfrac{9}{10}x.$

Therefore, the value of the stock at the end of Tuesday is given by

$\dfrac{9}{10}x-20\%\times\dfrac{9}{10}x\\\\\\=\dfrac{9}{10}x-\dfrac{20}{100}\times\dfrac{9}{10}x\\\\\\=\dfrac{9}{10}-\dfrac{9}{50}x\\\\\\=\dfrac{36}{50}x\\\\\\=\dfrac{18}{25}x\\\\\\=x-\dfrac{7}{25}x\\\\\\=x-\dfrac{28}{100}x\\\\\\=x-28\%x.$

Thus, the overall percent loss is 28%.

4 0

3 years ago

ANZ Corporation manufactures a product available in two models: ABC, and PQR. Despite the growing popularity of the PQR model, c

Nina [5.8K]

Answer:

The full production costs are:

ABC = $22,900,000

PQR = $1,700,000

Step-by-step explanation:

Traditional costing method is a costing method that allocates or applies overhead based on a particular metric determined by a company. It therefore add both direct cost of production and production overheads absorbed to obtain the full cost of production.

Since production overheads in this question is absorbed on demand sales basis, the full production costs for ABC and PQR can be computed as follows:

ANZ Corporation

Computation of Full Production Costs

Particulars ABC PQR

Sales demand 30,000 15,000

Cost $ $

Direct cost:

Direct materials cost (w.1) 1,350,000 900,000

Direct labor cost (w.2) 900,000 600,000

Total direct cost 22,500,000 1,500,000

Indirect cost:

Production overhead (w.3) 400,000 200,000

Full production cost  22,900,000   1,700,000 

Workings:

w.1: Computation of direct material cost

Direct material cost = Direct material cost per unit * Sales demand

Therefore;

ABC Direct material cost = $45 * 30,000 = $1,350,000

PQR Direct material cost = $60 * 15,000 = $900,000

w.2: Computation of direct labor cost

Direct labor cost = Direct labor cost per unit * Sales demand

Therefore;

ABC Direct material cost = $30 * 30,000 = $900,000

PQR Direct material cost = $40 * 15,000 = $600,000

w.3: Allocation of production overhead

Production overheads allocated to a model = Production overheads * (Model's Sales Demand / Total Sales demand)

Total Sales demand = 30,000 + 15,000 = 45,000

Therefore, we have:

Production overhead allocated to ABC = $600,000 * (30,000 / 45,000) = $400,000

Production overhead allocated to PQR = $600,000 * (15,000 / 45,000) = $200,000

8 0

3 years ago

The value of the square root of -16 is not -4 because

Nady [450]

Answer:

negative numbers can't have a square root it would have to be imaginary

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers