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lana [24]
3 years ago
6

NewPop produces their brand of soda drinks in a factory where they claim that the

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

a) 14960 bottles

b) 502 bottles

Step-by-step explanation:

Given that:

Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces

a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).

Therefore 68% fall within 0.14 ounces of the mean

the number of bottle =  22,000*68% = 14960 bottles

b) To solve this we are going to use the z score equation given as:

z=\frac{x-\mu}{\sigma} where x is the raw score = 23.72

z=\frac{x-\mu}{\sigma}=\frac{23.72-24}{0.14} =-2

From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228

The number of rejected bottles = 22000 × 0.0228 = 502 bottles

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Answer:

6.79 ⋅ 107

Step-by-step explanation:

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2 years ago
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il63 [147K]
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<h3>answer is 3(x+2) (x+3)</h3>

please mark this answer as brainlist

3 0
3 years ago
A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is give
rosijanka [135]

A projectile is an object <u>launched</u> into space, and moving under the <em>influence</em> of <u>gravity</u> and <u>momentum</u>. The <em>stone</em> here is an example. Thus, the <em>time</em> taken for the stone to reach the ground is 10 seconds.

On <em>launching</em> of the stone into <u>space</u>, it behaves as a <u>projectile</u>. Thus moving under the <em>influence</em> of gravity and its momentum. Its <u>momentum</u> is the <em>product</em> of its <u>mass </u>and <u>velocity</u>.

The height h, is given as:

h = 16t^{2} + 32t + 240

Differentiating the expression with respect to t, we have;

32t + 32 = 0

t = -1 seconds

Substitute the value of time, t, in the equation for the height;

h = 16 - 32 + 240

  = 224

h = 224 m

Total height, S = 240 + 224

                         = 464

S = 464 m

The total height covered by the stone is 464 m.

From the second equation of <em>free fall</em>,

S = Ut + \frac{1}{2}gt^{2}

S = \frac{1}{2}gt^{2}

464 = \frac{1}{2}*9.8*t^{2}

t^{2} = \frac{928}{9.8}

  = 94.694

t = \sqrt{94.694}

 = 9.7311

t ≅ 10 seconds

The <em>time taken</em> for the stone to hit the ground is 10 seconds.

Thus option A is the required answer.

Visit: brainly.com/question/13834669

7 0
2 years ago
If f(x)=x^5+5x^3+4, what is the remainder when f(x) is divided by x-2?
Olin [163]

By the polynomial remainder theorem, the remainder is

<em>f</em> (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76

(The theorem says a polynomial <em>p(x)</em> has remainder <em>p(c)</em> upon dividing it by <em>x</em> - <em>c</em>.)

6 0
3 years ago
Which of the following lines is perpendicular to the equation given below?
sukhopar [10]

the anser is

x- 2 y =6

x- 2 y =6

thats iit

4 0
3 years ago
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