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yKpoI14uk [10]
3 years ago
9

The corporate office sent out a memo stating that due to productivity increases, all salaried employees would receive 30% more a

nnual leave in the next fiscal year. If an employee currently receives 9 days of leave, how much total leave will they receive after the increase?
Mathematics
2 answers:
Step2247 [10]3 years ago
6 0
 Basically, the question is asking, what will happen if we increase 9 by 30%?

first, what is 30% of 9?
\frac{30}{100}*9= \frac{3*9}{10}  =2.7

 So, the increase will be by 2.7 days,

So the total amount will be 9+2.7=11.7 - this is the correct answer.
Daniel [21]3 years ago
3 0

Answer: There are 11 days and 16.8 hours of  leaves they will receive after the increase.

Step-by-step explanation:

Since we have given that

Total  number of leaves = 9 days

Percentage of more annual leave in the next fiscal year = 30%

So, Increased number of leaves by

\frac{30}{100}\times 9\\\\=0.3\times 9\\\\=2.7

so, Total number of leaves they will receive after the increase is given by

9+2.7\\\\=11.7\\\\=11\ days+\frac{7}{10}\times 24=11\ days+16.8\ hours

Hence, there are 11 days and 16.8 hours of  leaves they will receive after the increase.

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Answer:

  11.75 years

Step-by-step explanation:

If we ignore the fact that "6-sigma" quality means the error rate corresponds to about -4.5σ (3.4 ppm) and simply go with ...

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and

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the ratio of these error rates is about 0.000290372. We're multiplying the error rate by 0.5 each year, so we want to find the power of 0.50 that gives this value:

  0.50^t = 0.000290372

  t·log(0.50) = log(0.00290372) . . . . take logarithms

  t = log(0.000290372)/log(0.50) ≈ -3.537045/-0.301030

  t ≈ 11.75

It will take about 11.75 years to achieve Six Sigma quality (0.99 ppb error rate).

_____

<em>Comment on Six Sigma</em>

A 3.4 ppm error rate is customarily associated with "Six Sigma" quality. It assumes that the process may have an offset from the mean of up to 1.5 sigma, so the "six sigma" error rate is P(z ≤ (1.5 -6)) = P(z ≤ -4.5) ≈ 3.4·10^-6.

Using that same criteria for the "4.5-Sigma" quality level, we find that error rate to be P(z ≤ (1.5 -4.5)) = P(z ≤ -3) ≈ 1.35·10^-3.

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5 0
3 years ago
Tina is growing sunflowers in her garden. The flowers are currently 6 inches tall each week x, they will double in size . Which
Alika [10]
For this case we have an equation of the form:
 y = A (b) ^ x
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 Answer:
 
An equation that best represent how tall the sunflower will b in x weeks is:
 
y = 6 (2) ^ x
6 0
3 years ago
At which root does the graph of f(x) = (x + 4)(x + 7,5) cross the x-axis?<br> -7<br> -4<br> 4<br> 7
Alona [7]

Answer:

Answer: -7

Step-by-step explanation:

5 0
2 years ago
The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the ar
mafiozo [28]

Answer:

Ratio = \frac{R^2 - r^2 }{ r^2}

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

Area = \frac{\theta}{360}\pi r^2

For the inner circle

r \to radius

The sector of the inner circle has the following area

A_1 = \frac{\theta}{360}\pi r^2

For the whole circle

R \to Radius

The sector of the outer sector has the following area

A_2 = \frac{\theta}{360}\pi (R^2 - r^2)

So, the ratio of the outer sector to the inner sector is:

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Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2

Cancel out common factor

Ratio = R^2 - r^2 : r^2

Express as fraction

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6 0
2 years ago
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The average speed of Dolly is 33.33kmph.

Average Speed:

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Here,

Let the total distance is 100 km.

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