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NeX [460]
4 years ago
5

Round the decimal 0.334 to the underlined place A. 1 B. 0 C. 0.3 D. 0.4

Mathematics
1 answer:
rosijanka [135]4 years ago
4 0
B if the first digit is underlined
C if the second digit is underlined
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One mole of iron (6 × 1023 atoms) has a mass of 56 grams, and its density is 7.87 grams per cubic centimeter, so the center-to-c
MrMuchimi

Answer:

a) k_{s} = 3.6 N/m ; b) 9.43 * 10¹²; c) 1.18 * 10¹¹; d) 75.08 N/m

Step-by-step explanation:

Length of iron bar = L = 2.7m;

side length of cross section = a = 0.07cm = 0.0007m;

x = 2.7 cm = 0.027m;

m = 100kg;

ρ = 7.87gm/cm³;

da = 2.28 * 10⁻¹⁰m;

a)

Fnet = F - mg

where Fnet = 0

So,

F = mg where F=k_{s}x

k_{s} = mg/x = 100*9.8/0.027

k_{s} = 3.6 N/m

b)

Nchain = Aw/Aa =a²/(da)²

                           = (o.ooo7)²/(2.28 * 10⁻¹⁰)²

                           = 9.43 * 10¹²

c)

Nbond = L/da = 2.7/2.28 * 10⁻¹⁰

                       = 1.18 * 10¹¹

d)

Spring stiffness of wire = ksi = (Nbondk_{s})/Nchain

                                      = [(1.18* 10¹¹)(6*10⁴)]/(9.43 * 10¹²)

                                      = 75.08 N/m

8 0
3 years ago
What is the slop of the line represented by the equation y=-2/3-5x​
jek_recluse [69]
The slope is -5x.

Explanation:

Rearrange the equation so it’s in y=mx+b format.

y=-5x-2/3
8 0
3 years ago
timeless toys builds tricycles and wagons. the owner noticed that there are several diffrent ways that a customer could place an
slava [35]
<span>There are 3 several ways to place an order for 5 items, like for example all or 5 tricycles, the number of wheels that will be needed is 15 wheels, for 5 order of wagons, the number of wheels that will be needed is 20 wheels, then lastly the 5 order combinations like 3 tricycles and 2 wagons the number of wheels that will be needed are 17 wheels.</span>
4 0
3 years ago
Read 2 more answers
6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the
shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem, we have that:

  • There are 6 students, hence n = 6.
  • There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

P(X \geq 2) = 1 - P(X < 2)

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

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

P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351

P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0
2 years ago
Points scored in a basketball game vary directly with shots taken. If a player scores 50 points and takes 40
KATRIN_1 [288]

Answer:

She would have scored 75 points.

Step-by-step explanation:

Points scored in a basketball game vary directly with shots taken.

This means that this question can be solved by proportions, using a rule of three.

How many would she have scored if she takes 60 shots?

Using a rule of three:

50 points - 40 shots

x points - 60 shots

Applying cross multiplication:

40x = 50*60

Dividing both sides by 40

x = 50*1.5 = 75

She would have scored 75 points.

6 0
3 years ago
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