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2 years ago

1. A large game cube with a three inch side

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

3 0

Answer:

$540 \ in^2$

Step-by-step explanation:

Given the side of each cube is 3 in, the individual surface areas is calculate as:

$A=6s^2\\\\A=6\times 3^2\\\\A=54 \ in^2$

To find the wrap needed for 10 cubes, we multiply the surface area by 10:

$A_{10}=10\times 54 \ in^2\\\\A=540 \ in^2$

Hence, the shrink wrapped needed for the 1o cubes is 540 sq in

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Fifty specimens of a new computer chip were tested for speed in a certain application, along with 50 specimens of chips with the

Murljashka [212]

Answer:

Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

Step-by-step explanation:

$H_{0}$ : Mean speed of the new chip is the same as the old chip

$H_{a}$ : Mean speed of the new chip is greater than the old chip

to calculate the z-statistic we can use the formula:

z= $\frac{M_{n}-M_{o}}{\sqrt{\frac{s_{n}^2}{N_{n}} +\frac{s_{o}^2}{N_{o}} } }$

if we put the numbers then

z= $\frac{495.6-481.2}{\sqrt{\frac{19.4^2}{65}} +\frac{14.3^2}{65} } }$ =4.8171

The probability of this z-statistic is < 0.001 Therefore Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

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2 years ago

If the product of two consecutive integers is decreased by 20 times the greater integer, the result is 442. find the integers

Contact [7]

Let the first integer be x. Then the next consecutive integer is x+1.

Translating the word problem into symbols, x(x+1)-20(x+1) = 442.

Then x^2 + x - 20x - 20 = 442

or x^2 - 19x - 462 = 0

Solve by completing the square:

x^2 - 19x + 90.25 - 90.25 - 462 = 0

(x-9.5)^2 - 552.25 = 0

Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33

The two consecutive integers are 33 and 34.

Check: (33)(34)-20(34) = 442 (as expected).

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2 years ago

Look at Andrea’s running journal.

german

First align the decimal points and the numbers, then add the extra 0's if needed. Lastly, add and the total answer is 14.225.

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2 years ago

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On a december day, the probability of snow is .30. the probability of a "cold" day is .50. the probability of snow and "cold" we

Svetradugi [14.3K]

Events A and B are independent if the following holds true:

P(A ∩ B) = P(A) * P(B)

where P(A ∩ B) is the probability of A and B, P(A) is the probability of A, and P(B) is the probability of B.

Setting A = "snow" and B = "cold weather", and plugging in the above numbers will give you the answer.

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2 years ago

Find a linear equation to model this real-world application:

SSSSS [86.1K]

The linear equation to model the company's monthly expenses is y = 2.5x + 3650

<em><u>Solution:</u></em>

Let "x" be the units produced in a month

It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.

Cost per unit = $ 2.50

The company has monthly operating expenses of $350 for utilities and $3300 for salaries

We have to write the linear equation

The linear equation to model the company's monthly expenses in the form of:

y = mx + b

Cost per unit = $ 2.50

Monthly Expenses = $ 350 for utilities and $ 3300 for salaries

Let "y" be the total monthly expenses per month

Then,

Total expenses = Cost per unit(number of units) + Monthly Expenses

$y = 2.50(x) + 350 + 3300\\\\y = 2.5x + 3650$

Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650

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2 years ago