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aleksklad [387]
3 years ago
10

Confidence Interval Application Many people feel that the drying of pavement marking paint is much too slow. You spend several d

ays looking for the fastest drying paint you can find; you plan to measure the time (in seconds) for this paint to dry. From information provided by the paint supplier, you believe the time to dry is normally distributed with a standard deviation of 4 seconds. How many paint samples would you need to test to be able to obtain an estimate of paint drying time that is within 1.5 seconds of the actual mean drying time with a probability of 97%
Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Answer:

The sample size is  n =33

Step-by-step explanation:

From the question we are told that

  The margin of error is E  =  1.5 seconds

   The standard deviation is  s =  4 seconds

 Given that the confidence level is 97% then the level of significance is mathematically represented as

      \alpha =( 100 -97)\%

=>   \alpha  =  0.03

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

   Z_{\frac{\alpha }{2} } =  2.17

Generally the sample size is mathematically represented as

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

=> n  =[  \frac{2.17  * 4 }{1.5} ]^2

=>  n =33

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C+(4-3c)-2=0<br> Need help
Illusion [34]
c+(4-3c)-2=0\\ \\c+ 4-3c -2=0\\ \\c-3c=2-4\\ \\-2c=-2 \ \ /:(-2)\\\\c=1


6 0
3 years ago
Find the prime factors of 60 by dividing by prime numbers.​
Mars2501 [29]

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

<h3>60 = 2*2*3*5</h3>

which is the same as saying

<h3>60 = 2^2*3*5</h3>
7 0
2 years ago
Last week, Jane made deposits of
liraira [26]

Answer:

b. $25

Step-by-step explanation:

64 + 25 + 37 - 52 - 49 = 25

6 0
3 years ago
there is 29cm if green ribbon. a blue ribbon is 9cm shorter than the green ribbon. how long is the blue ribbon ​
a_sh-v [17]

Answer:20cm

Step-by-step explanation:

If the blue ribbon is 9cm shorter you’re just subtracting 29-9 which is 20cm.

8 0
3 years ago
1. what is the perimeter of the triangle?<br> 2. what is the area of the triangle?
jonny [76]

Answer:

See below. A=45 p=39.64

Step-by-step explanation:

Hi = 9 squares (h)

Gh= 14 squares. (b)

Area of a triangle = 1/2 bxh

1/2 14 x 9

7x9= 45.

Area =45 squares.

Perimiter

A= side hi (9)

B= side gh (14)

C= side gi (unknown)

A^2 + b^2 = c^2

9^2 + 14^2 = 277

C^2 = 277

Square root of 277 =c

C length =16.64 squares

A+b+c = perimeter

9+14+16.64 = 39.64 squares.

Sorry I cannot see the units of measure in the photo

7 0
2 years ago
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