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ozzi
3 years ago
8

If a line crosses the y-axis at (0, 1) and has a slope of 45, what is the equation of the line?

Mathematics
1 answer:
Olenka [21]3 years ago
7 0
The equation for a linear function is y = mx + b, where m is the slope and b is the y-intercept.
The equation would be y = 45x + 1.
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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
3 years ago
10 years ago, Rapunzel had 19 centimeters of hair, now her hair is 20,193 centimeters long, how long has her hair grown? in scie
zhuklara [117]

Answer:

Approximately 1*10^3

Step-by-step explanation:

20,193/19=1,062

5 0
3 years ago
Ashton bought DVD at the price of $20. If he also paid 8.5% sales tax, which is closest to the total amount that Ashton paid for
Anuta_ua [19.1K]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the lest comen demomator of 1/8 1/12 and 7/18
Bond [772]

Answer:

72

Step-by-step explanation:

18*4

12*6

8*9

5 0
3 years ago
Read 2 more answers
A person sights a boat from 235 feet above sea-level as shown. If the angle of depression from the man to the boat is 21 , then
Evgen [1.6K]

Answer:

B = 612.2 ft

Step-by-step explanation:

Solution:-

- The elevation of person, H = 235 ft

- The angle of depression, θ = 21°

- We will sketch a right angle triangle with Height (H), and Base (B) : the boat's distance to the edge of the cliff and the angle (θ) between B and the direct line of sight distance.

- We will use trigonometric ratios to determine the distance between boat and the edge of the cliff, using tangent function.

                             tan ( θ ) = H / B

                             B = H / tan ( θ )

                             B = 235 / tan ( 21 )

                             B = 612.2 ft    

4 0
3 years ago
Read 2 more answers
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