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Mnenie [13.5K]
3 years ago
7

Avery solves the equation below by first squaring both sides of the equation.

Mathematics
1 answer:
son4ous [18]3 years ago
5 0

Answer:

z = -1 and 7/3

Step-by-step explanation:

after squaring each side you get:

z² + 8 = (1 - 2z)²

z² + 8 = 1 - 4z + 4z²

combine like terms to get this trinomial:

3z² - 4z - 7, which has factors of (3z - 7)(z + 1)

therefore, z = 7/3 and z = -1

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Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe
podryga [215]

Answer:

The value  is  n = 384

The correct option is a

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =  0.05

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of   is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally since the sample proportion is not given we will assume it to be

      \^ p = 0.5

Generally the sample size is mathematically represented as  

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

=>   n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5)

=>   n = 384

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

Generally if the level of confidence increases,  the critical value of  \frac{\alpha }{2}  increase and from the equation for margin of error we see the the critical  value varies directly with the margin of error , hence the margin of error  will increase also  

So  If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

8 0
3 years ago
Can someone help me with this guys? Thank you so much! I mark as brainliest
Vitek1552 [10]

Answer:

y=45

x=9

z= 9 root 2

Step-by-step explanation:

This is a right isosceles triangle, so

y=45

x=9

z= 9 root 2

9²+9²=z²

81+81=z²

162=z²

√162=z

z=9√2

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3 years ago
2³+2²+2÷2²+2+1=2 prove that this relation is true for any natural numbers
UkoKoshka [18]

So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

\frac{x^3+x^2+x}{x^2+x+1}=x

So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that x^3+x^2+x=x(x^2+x+1)

If we replace the factored numerator with the original one, we get:

\frac{x(x^2+x+1)}{x^2+x+1}=x \implies \\ x=x

Since we have an equality, this relation is proved.

3 0
3 years ago
What does the 6 stand for in 8,375,693.1? 0.6 6 600 6000​
Blababa [14]

Answer:

6 stand for 600(six hundred).

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3 years ago
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Put each number where Y should be (so 24/3 or 39/3) then simplify. If it is less than or equal to 12 than it satisfies the equation. A. Yes B. No C. Yes and D. Yes
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