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Levart [38]
3 years ago
15

Please help I will give brainliest!

Mathematics
2 answers:
vladimir2022 [97]3 years ago
4 0

Answer:

The correct answer is B. 30.

Step-by-step explanation:

538 - 509 = 29

Since we need to round this to the nearest tens place, that means we need to round it to 10, 20, 30, etc.

When rounding a number, you look at the last number in it. If it is a <em>5 or higher</em>, you <em>round up</em> the number before it by 1. If it is a <em>4 or lower</em>, the number before it<em> stays the same</em> and the <em>lowest number</em> turns into a 0.

Since 9 is <u><em>higher</em></u> than 5, the 2 in 29 will turn to a 3, and the 9 will turn into a 0.

Therefore, the correct answer is B. 30.

Hope this helps! :D

Gwar [14]3 years ago
3 0

Answer:

30

Step-by-step explanation:

538 = 540

509 = 510

40 - 10 = 30

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From a random sample of size 18, a researcher states that (11.1, 15.7) inches is a 90% confidence interval for mu, the mean leng
alexandr402 [8]

Complete Question

From a random sample of size 18, a researcher states that (11.1, 15.7) inches is a 90% confidence interval for mu, the mean length of bass caught in a small lake. A normal distribution was assumed. Using the 90% confidence interval obtain:

a. A point estimate of \mu and its 90% margin of error.

b. A 95% confidence interval for \mu.

Answer:

a

\= x  = 13.4   .   E = 2.3

b

10.7 <  \mu < 16.1

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 18

  The 90% confidence interval is  (11.1, 15.7)

Generally the point estimate of  \mu is mathematically  evaluated  as

       \= x  = \frac{11.1 + 15.7 }{2}

=>    \= x  = 13.4

Generally the margin of error is mathematically evaluated  as

     E = \frac{15.7 - 11.1}{2 }

=> E = 2.3

  From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the equation for the lower limit of the confidence interval is  

      \= x  -  Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{18} } = 11.1

=> 13.4   -  0.3877 s  = 11.1

=>  s = 5.932

  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  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

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

=>    E =  1.96 *  \frac{5.932}{\sqrt{18} }

=>    E =  2.7      

Generally 95% confidence interval is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

=>    13.4  -  2.7  <  \mu < 13.4  +   2.7

=>    10.7 <  \mu < 16.1

3 0
3 years ago
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7 0
3 years ago
Andre earns $12 per hour tutoring students after school. If Andre tutored for 24 hours this month, how much money did he earn th
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Perform the indicated operation and write the answer in the form a + bi. (–1 + 5i) + (3 + 7i)
pashok25 [27]

Answer:

12i + 2

Step-by-step explanation:

Combine like terms.

-1 + 3 = 2

5i + 7i = 12i

12i + 2 is your answer.

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3 years ago
If f(x)=3x^2-5 and g(x)=-2x+5, then f(3)g(3)=
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Answer:

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

)

=

3

x

2

−

x

+

5

+

2

x

−

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

−

x

+

2

x

)

+

(

5

−

3

)

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

)

=

3

x

2

−

x

+

5

+

2

x

−

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

−

x

+

2

x

)

+

(

5

−

3

)

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

)

=

3

x

2

−

x

+

5

+

2

x

−

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

−

x

+

2

x

)

+

(

5

−

3

)

(

f

+

g

)

(

x

)

=

3

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2

+

x

+

2

Step-by-step explanation:

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