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9966 [12]
3 years ago
12

Determine the slope of the linear function. Y= 1/5 x + 6

Mathematics
2 answers:
Novay_Z [31]3 years ago
7 0
D. 1/5

Reason: it’s always the first number in the equation
Sergio [31]3 years ago
4 0
The correct answer is D
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A sample size must be determined for estimating a population mean given that the confidence level is ​% and the desired margin o
Sauron [17]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 n =290

b

 n =129

c

 The correct option is  D

Step-by-step explanation:

From the question we are told that

    The margin of error is   E  =  0.23

     The largest value is  k =  15

     The smallest value is  u = 7

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 population  standard deviation estimate is mathematically represented as

      \sigma  =  \frac{Range }{4}

Here the Range is mathematically represented as

       Range  =  k - u

=>    Range  = 15 - 7

=>    Range  = 8

=>   \sigma  =  \frac{8 }{4}

=>   \sigma  =  2

Generally the sample size is mathematically represented as

n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>   n = [1.96  *  2 }{0.23} ] ^2

=>   n =290

Generally to obtain a  conservatively small sample size the population standard deviation estimate becomes

=>   \sigma  =  \frac{Range }{6}

=>   \sigma  =  \frac{8 }{6}

=>   \sigma  =1.333

Generally the conservatively small sample size is mathematically evaluated as

n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>   n = [1.96  *  1.333 }{0.23} ] ^2

=>   n =129  

 

6 0
2 years ago
F(x)=x^4+3, g(x)=x-7 and h(x)=square root of x then f(g(h(x))=
SpyIntel [72]

Answer:

<em>x² - 28x√x + 294x - 1372√x + 2404 </em>

Step-by-step explanation:

f(x) = x^{4} + 3

g(x) = x - 7

h(x) = √x

f(g(h(x))) - ?

g(h(x)) = √x - 7

f(g(h(x))) = (\sqrt{x} -7) ^{4} + 3 = ( √x - 7 )² × ( √x - 7 )² + 3 =

= (x - 14√x + 49)(x - 14√x + 49) + 3 =

= x² - 14x√x + 49x - 14x√x + 196x - 686√x + 49x - 686√x + 2401 + 3 =

=  <em>x² - 28x√x + 294x - 1372√x + 2404</em>

8 0
2 years ago
Is it even an option on my Penn Foster Exam?
Anton [14]
Lel nope gotta take it

7 0
3 years ago
Tickets to a school dance cost $5. Ninety tickets have already been sold. How many more tickets x must be sold to earn at least
alex41 [277]

Step-by-step explanation:

5x90=450

700-450=250

250/5=50

50 more tickets.

i don't know if that's in an inequality form or not. but that's how many tickets

4 0
3 years ago
...................... can yall answer this real quick pleaseee
KIM [24]

Answer:

5.7

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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