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mihalych1998 [28]
3 years ago
13

What is 643.072 rounded to the nearest tenth thank you for helping

Mathematics
1 answer:
Nata [24]3 years ago
3 0

Answer:

643.1

Step-by-step explanation:


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How many ways can a committee chairman choose 4 people for a subcommittee if there are 12 members on the whole committee?
Marina86 [1]
A group of k elements can be chosen from a group of n elements in \frac{n!}{k!(n-k)!} ways.

(^{12} _4)=\frac{12!}{4!(12-4)!}=\frac{12!}{4! \times 8!}=\frac{8! \times 9 \times 10 \times 11 \times 12}{2 \times 3 \times 4 \times 8!}=\frac{9 \times 10 \times 11 \times 12}{2 \times 3 \times 4}= \\ \\
=3 \times 5 \times 11 \times 3=495

The answer is B. 495.
7 0
2 years ago
A group of friends chartered a deep-sea fishing boat out of Destin, FL. The graph below represents the total cost, in dollars, o
liq [111]

Answer:

D: $26.25 I just took the assessment and got it right

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3 years ago
Read 2 more answers
An international company has 22,700 employees in one country. If this represents 23.1 of the company's employees,how many employ
GrogVix [38]

Answer: 98268

Step-by-step explanation:

Given: In an international company,

Employees in one country = 22,700

If this is 23.1% of the total number of company's employees,

[1\%=\dfrac1{100} , replace 'of' by '×']

i.e. 23.1% of (total employees) = 22700

\Rightarrow\ \dfrac{23.1}{100}\times\text{(total employees)}=22700\\\\\Rightarrow\ \text{Total employees}=\dfrac{22700\times100}{23.1}\\\\\Rightarrow\ \text{Total employees}=98268.4\approx98268

Hence, there are 98268 employees in total.

4 0
2 years ago
Can someone please help me with these two questions? I would be really grateful...
Roman55 [17]

Answer:

1. County B

2. (I'm going to keep working on an answer for this one).

Step-by-step explanation:

A. 25 ppl × 100 sq miles = 2500

100 ppl × 40 sq miles (25 kilometers square) = 4000

County B

6 0
3 years ago
An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne
lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0
3 years ago
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