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BabaBlast [244]
3 years ago
14

2: Cis directly proportional to D.

Mathematics
1 answer:
Kryger [21]3 years ago
3 0

Answer:

a. C = 5 × 25

b. C = 150

c. D = 3

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A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean l
tankabanditka [31]

Answer:

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 95

Given that the standard deviation of the Population = 5

Let 'X' be the random variable in a normal distribution

Let X⁻ = 96.3

Given that the size 'n' = 84 monitors

<u><em>Step(ii):-</em></u>

<u><em>The Empirical rule</em></u>

         Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }

        Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }

       Z = 2.383

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

    P(X⁻ ≥ 96.3) = P(Z≥2.383)

                      =  1- P( Z<2.383)

                      =  1-( 0.5 -+A(2.38))

                      = 0.5 - A(2.38)

                     = 0.5 -0.4913

                    = 0.0087

<u><em>Final answer:-</em></u>

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

3 0
2 years ago
At Pizzazz Pizza, the total price for 5
ira [324]

Answer:

The answer to your question is $9.5

Step-by-step explanation:

Data

Large pizza = L

Medium pizza = m

Write equation for both situations

Situation 1    5L + 2m = 81.5

Situation 2    4L + 3m = 78.5

Solve the system of equation by elimination

Multiply situation 1 by -3 and situation 2 by 2

                    -15L  - 6m = -244.5

                       8L + 6m =  157

                      -7L           = -87.5

Solve for L                  L = -87.5/-7

                                   L = $12.5

Substitute L in Situation 1 to find m

                     5(12.5) + 2m = 81.5

                       62.5 + 2m = 81.5

                                    2m = 81.5 - 62.5

                                    2m = 19

                                      m = 19/2

                                      m = $ 9.5

The prize of a medium pizza is $9.5

8 0
3 years ago
What is the slope of the line passing through<br> points (6, -1) and (1,8)?
Fynjy0 [20]

Answer:

-1.8

Step-by-step explanation:

m= y2 - y2over x2 - x1

m= -1 - 8 over 1 - 6 = -1.8

m= -1.8

7 0
3 years ago
Sombody is taking a 1680 mile road trip. At the end of the first day they had completed 3/8of there trip. How many miles did the
patriot [66]

Answer:

Step-by-step explanation:

1680 mile road trip....they completed 3/8 of it...

so we need to figure 3/8 of 1680

" of " in math language means multiply

3/8 * 1680 = 5040/8 = 630 miles <===

7 0
3 years ago
Calculate the sample standard deviation of data from Question 1<br> 76,45,64,80,92
mash [69]

Answer:

S.D = 15.98

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

Mean = \frac {\sum x}{n}

Where x-> 76,45,64,80,92 and n = 5

Mean = \frac {76+45+64+80+92}{5}

Mean = \frac{357}{5}

Mean = 71.4

Subtract Mean (71.4) from each of the given data

76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6

Determine the absolute value of the above result

|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6

Square Individual Result

4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36

Calculate the mean of the above result to give the variance

Mean = \frac {\sum x}{n}

Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298

Hence, Variance = 255.298

Standard Deviation is calculated by \sqrt{Var}

SD = \sqrt{255.298}

S.D = 15.9780474402

S.D = 15.98 (Approximated)

6 0
3 years ago
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