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kobusy [5.1K]
2 years ago
13

Express the values below I’m scientific notation 52,800g, 255.6m, 0.04109cm!?

Mathematics
2 answers:
Murljashka [212]2 years ago
7 0

Answer:

52,800 in scientific notation is 5.28 × 10^4.

255.6 in scientific notation is 2.556 × 10^2.

0.04109 in scientific notation is 4.109 × 10^{-2}.

Trava [24]2 years ago
3 0

Answer:

1) 5.28 x 10^4 g

2)2.556 x 10^2 m

3)4.109 × 10^-2cm

Have a nice day!!!!!

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B) 2(x-3) + X = 5x-2(x+5)
aleksandrvk [35]

Answer:

X=x−4

Step-by-step explanation:

2(x−3)+X=5x−2(x+5)

Use the distributive property to multiply 2 by x−3.

2x−6+X=5x−2(x+5)

Use the distributive property to multiply −2 by x+5.

2x−6+X=5x−2x−10

Combine 5x and −2x to get 3x.

2x−6+X=3x−10

Subtract 2x from both sides.

−6+X=3x−10−2x

Combine 3x and −2x to get x.

−6+X=x−10

Add 6 to both sides.

X=x−10+6

Add −10 and 6 to get −4.

X=x−4

4 0
2 years ago
Sick-leave time used by employees of a firm in a course of one month has approximately normal distribution, with a mean of 200 h
Usimov [2.4K]

Answer:

a)0.62% probability that total sick leave for next month will be less than 150 hours.

b) 225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 200, \sigma = \sqrt{400} = 20

a.Find the probability that total sick leave for next month will be less than 150 hours.

This probability is the pvalue of Z when X = 150. So:

Z = \frac{X - \mu}{\sigma}

Z = \frac{150 - 200}{20}

Z = -2.5

Z = -2.5 has a pvalue of 0.0062.

So there is a 0.62% probability that total sick leave for next month will be less than 150 hours.

b.In planning schedules for next month, how much time should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

This is the value of X when Z has a pvalue of 0.90. So Z = 1.28

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 200}{20}

X - 200 = 20*1.28

X = 225.6

225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

6 0
3 years ago
What 2/5×3/7 but, once you get an answer make sure you simplified​
vagabundo [1.1K]

Answer:

6/35

Step-by-step explanation:

\frac{2}{5} *\frac{3}{7} =\frac{2*3}{5*7} =\frac{6}{35}

3 0
2 years ago
Example 5 Given m angle7=38^ and m angle10=102^ the measure of each missing angle
kotykmax [81]

angle 1 - 78

angle 2- 102

angle 3- 78

angle 4- 102

angle 5- 38

angle 6- 142

angle 8- 142

angle 9- 78

angle 11- 78

angle 12- 102

angle 13- 38

angle 14- 142

angle 15- 38

angle 16- 142

5 0
2 years ago
What is 3x+4y=16 for x
sergiy2304 [10]
3x + 4y = 16           Write original equation     
3x + 4y - 4y = -4y + 16          Subtract 4y from each side
3x = -4y +16                    Simplify
3x/3 = -4y/3 + 16/3      Divide each side by three
x = -4y/3 +16/3             Simplify

I hope this helps!

4 0
2 years ago
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