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3 years ago

5

The top of a kitchen table measures 160 cm by 90 cm. A beetle walks diagonally across the table. How far does it walk (to the cl

osest cm)?

1 answer:

seropon [69]3 years ago

4 0

Answer:

c²=a²+b²

Step-by-step explanation:

this is actually really easy , and it wouldn´t hurt if you can give me a thanks and mark as brainliest i never got it before :)

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The volume of a shipping container is 448.656 cubic inches, and it can hold 24 smaller boxes. What's the volume of each of the s

madreJ [45]

Answer:

The volume of each of the smaller boxes = 18.694 inches³

Step-by-step explanation:

The volume of Shipping container = 448.656 inches³

The shipping container hold small boxes of numbers = 24

So, The volume of each of small boxes = $\frac{448.656}{24}$ inches³

Or, The volume of each of small boxes = 18.694 inches³

Hence The volume of each of 24 small containers is 18.694 inches³ Answer

5 0

4 years ago

Factor completely 2x^2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5)

Zina [86]

2x^2 - 2x - 40 = 2x^2 -10x + 8x - 40 = 2x(x - 5) + 8(x - 5)

= (x-5)(2x+8) = 2(x-5)(x+4)

3 0

3 years ago

the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

3 0

4 years ago

What is the product of (2x+3) and (4x^2-6x+9)?

gogolik [260]

Answer:

=8x^3+27

Step-by-step explanation:

First you are going to multply 2x by all of the other numbers in the 2nd parentheses, then do the same with 3. By doing this you should get and answer then combine like terms.

4 0

3 years ago

Coyne Corporation is evaluating a capital investment opportunity. This project would require an initial investment of $36,000 t

Zarrin [17]

Answer:

$27,643

Step-by-step explanation:

The net present value is the present value of after tax cash flows from an investment less the amount invested.

The formula for the NPV can be found in the attached image.

The NPV can be found using a financial calculator:

The cash flow for year zero = $-36,000

Cash flow from year one to three = $19,000

Cash flow for year four =$19,000 + $5,000 = $24,000

I = 10%

NPV = $27,643

I hope my answer helps you

5 0

4 years ago