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gladu [14]
3 years ago
14

Explain why the equation (x-3)^2-38=11 has two solutions. Then solve the equation to find the solutions. Show your work.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0

Answer:

X = 10 and X = -4

Step-by-step explanation:

(x-3)^2-38=11

(x-3)^2 = 11 +38

(x-3) ^2 = 49

Taking square root on both sides

√(x-3) ^2 = √ 49

X-3 = +7, -7

X = 7 +3,    X= -7+3

X = 10        X = -4

So, it has got two solutions

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A survey of 600 randomly selected employees in Company X found that 150 of them completed web analytics training. If there were
Helga [31]

Answer:

The approximate number of employees who completed web analytics training are 245 .

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

A survey of 600 randomly selected employees in Company X found that 150 of them completed web analytics training.

Part value = 150

Total value = 600

Putting in the above formula

Percentage = \frac{150\times 100}{600}

Percentage = \frac{15000}{600}

Percentage = 25%

Thus this shows that 150 employees who completed web analytics training from 600 employees are 25% .

As given

If there were 980 employees in the company .

Total value = 980

Percentage = 25%

Putting all the values in the formula

25 = \frac{Part\ value\times 100}{980}

Part\ value= \frac{980\times 25}{100}

Part\ value= \frac{24500}{100}

Part value = 245

Therefore  the approximate number of employees who completed web analytics training are 245 .

8 0
3 years ago
Why is -csc^2 (pi/4) = -2 ?
sweet-ann [11.9K]
Sin(pi/4) = 1/sqrt(2)
csc(pi/4) = sqrt(2)
csc^2(pi/4) = 2
-csc^2(pi/4) = -2
8 0
2 years ago
Jon invests $2300 at 7.5% annual interest, compounded continuously. How long will it take this money to double in value?
meriva
For it to double in value it would take 13 years and 4 months
7 0
3 years ago
What is the slope and y intercept of the line represented by this equation below? 3x+8y=2
expeople1 [14]
And the answer is B.
7 0
3 years ago
Suppose a random sample of 50 college students are asked to measure the length of their right foot in centimeters. A 95% confide
hichkok12 [17]

Answer:

A  99% confidence interval  will be wider than a 95% confidence interval

Step-by-step explanation:

From the question we are told that

  The  95% confidence interval for for the mean foot length for students at the college is found to be 21.709 to 25.091 cm

Generally the width of a confidence interval is dependent on the margin of error.

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

From the above equation we see that

          E \ \  \alpha \ \   Z_{\frac{\alpha }{2} }

Here  Z_{\frac{\alpha }{2} }  is the critical value of the half of the level of significance and this value  increase as the confidence level increase

Now if a  99% confidence level is  used , it then means that the value of  

 Z_{\frac{\alpha }{2} }  will increase, this in turn will increase  the margin of error and in turn this will increase the width of the confidence interval

Hence a 99% confidence interval  will be wider than a 95% confidence interval

5 0
3 years ago
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