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pochemuha
3 years ago
7

In quadratic formula

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0

x² - x - 12 = 0


x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}


a = 1, b = -1, c = -12

x = \dfrac{1 \pm \sqrt{(-1)^{2} - 4(1)(-12)}}{2(1)}


x = 4 or -3


Answer: 4 or -3

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Here is one example:
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5 x 0 = 0 .
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{"Five times zero equals zero."}.
{"Five multiplied by zero equals zero".}.
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4 0
3 years ago
Dana can type nearly 90 words per minute. Use this information to find the number of hours it will take her to type 2.6 x 105 wo
Vlad1618 [11]

Dana can type 90 words per minute.

Since, 1 minute = \frac{1}{60} hours

Therefore, number of words she can type = \frac{90}{\frac{1}{60}}

                                                                      = 90×60

                                                                      = 5400 words per hour

If she types 2.6\times 10^5 words in 'x' hours.

Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time

= 5400\times x

Therefore, 5400\times x =2.6\times 10^5

5400x=260000

x=\frac{260000}{5400}

x=48.15 hours

Therefore, Dana types 2.6\times 10^5 words in 48.15 hours.

Learn more,

brainly.com/question/621754

6 0
3 years ago
Which of the following companies offers the greatest total employment compensation? Company A Company B Company C Company D Gros
san4es73 [151]

we know that

To find the company with the greatest total employee compensation package, adds each company's gross pay, paid insurance, and paid time off, then subtract the job expenses on the sum

So

Find the total employee compensation package for each company

Step 1

Find the total employee compensation package for company A

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=37,600+2,800+3,100-1,200\\ total\ employee\ compensation=42,300\ dollars

Step 2

Find the total employee compensation package for company B

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=36,800+2,400+3,600-600\\ total\ employee\ compensation=42,200\ dollars

Step 3

Find the total employee compensation package for company C

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=38,100+2,100+2,900-300\\ total\ employee\ compensation=42,800\ dollars

Step 4

Find the total employee compensation package for company D

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=39,000+1,800+2,500-800\\ total\ employee\ compensation=42,500\ dollars

therefore

the answer is

the company with the greatest total employee compensation package is the company C

8 0
3 years ago
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How do I solve this?
laila [671]
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7 0
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Arte-miy333 [17]

Answer:

The z-score for the statistics test grade is of 1.11.

The z-score for the calculus test grade is 7.3.

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

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Student got 84, so X = 84

The z-score is:

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

Z = \frac{84 - 79}{4.5}

Z = 1.11

The z-score for the statistics test grade is of 1.11.

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Mean of 69, standard deviation of 3.7, so \mu = 69, \sigma = 3.7

Student got 96, so X = 96

The z-score is:

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

Z = \frac{96 - 69}{3.7}

Z = 7.3

The z-score for the calculus test grade is 7.3.

On which test did the student perform better relative to the other students in each class?

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

7 0
3 years ago
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