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Elden [556K]
3 years ago
8

How do I solve the equation (x+3)^1/2-1=x

Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0

Answer:

Step-by-step explanation:

(x+3)^{\frac{1}{2} } -1=x\\(x+3)^{\frac{1}{2} } =x+1\\squaring\\x+3=x^2+2x+1\\\\x^{2} +2x-x+1-3=0\\x^2+x-2=0\\x^2+2x-x-2=0\\x(x+2)-1(x+2)=0\\(x+2)(x-1)=0\\x=-2,1

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The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standar
Margarita [4]

Answer:

  1. 0.26
  2. 0.91
  3. 1.43

Step-by-step explanation:

given data

mean = 1.9 hours

standard deviation = 0.3 hours

solution

we get here first  random movie between 1.8 and 2.0 hours

so here

P(1.8 < z < 2 )

z = (1.8 - 1.9) ÷ 0.3

z = -0.33

and

z = (2.0 - 1.9) ÷ 0.3

z = 0.33

z = 0.6293

so

P(-0.333 < z < 0.333 )

=  0.26

so random movie is between 1.8 and 2.0 hours long is 0.26

and

A movie is longer than 2.3 hours.

P(x > 2.3)

P( \frac{x-\mu }{\sigma}  > \frac{2.3-\mu }{\sigma} )

P (z  > \frac{2.3-1.9 }{0.3}  )

P (z  > 1.333  )

= 0.091

so chance a movie is longer than 2.3 hours is 0.091

and

length of movie that is shorter than 94% of the movies is

P(x > a ) = 0.94

P(x <  a ) = 0.06

so

P( \frac{x-\mu }{\sigma } <  \frac{a-\mu }{\sigma } )

\frac{a-1.9 }{0.3 } = -1.55

a = 1.43

so length of the movie that is shorter than 94% of the movies about 1.4 hours.

3 0
3 years ago
Anya's grandparents decide they want to invest at the bank. They have $35,000
Aneli [31]

Anya's parents will have $44,440.71 after 6 years if they invested in a bank.

The interest rate given is an annual rate yet will be compounded quarterly. You therefore need to convert the interest rate to a quarterly rate.

= 4% / 4 quarters

= 1% per quarter

Number of periods:

= Number of years x Number of quarters in year

= 6 x 4

= 24 quarters

The amount they will have in their account is:

<em>= Amount x ( 1 + rate) ^ number of periods </em>

= 35,000 x ( 1 + 1%)²⁴

= $44,440.71

In conclusion, they will have $44,440.71 if they invested their money in a bank for 6 years.

<em>Find out more at brainly.com/question/13861384.</em>

3 0
2 years ago
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Step-by-step explanation:

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3 years ago
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Doss [256]

Answer:9

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