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Ludmilka [50]
3 years ago
7

A tank containing 2.85 cube of oil how many bottles of 300 ml capacity can be filled out of it​

Mathematics
1 answer:
Ronch [10]3 years ago
8 0

Answer:

9,500 bottles.

Step-by-step explanation:

1 cubic meter = 1000000 milli liters

We can convert (2.85 cubic meter) to (milli liters) as

1 cubic meter = 1000000 milli liters

2.85 cubic meter = X milli liters

If we Cross multiply and find X, we have

X milli liters = [(2.85 cubic meter × 1000000 milli liters) ] / 1 cubic meter

X= 2850,000 milli liters

Then (2.85 cubic meter) will be equal to ( 2850,000 milli liters)

Capacity of the Bottle = 300 ml

Number of bottles that 300 ml capacity can be filled out of it =

(2850,000 milli liters) / (300 ml)

= 9,500 bottles.

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In the healthy handwashing survey conducted by Bradley Corporation, a study was found that 64% of adult Americans operate the fl
Hitman42 [59]

Answer:

<em>A) It fulfills the condition of binomial experiment</em>

<em>B) P (x=12) =0.1678</em>

<em>C)P ( x ≥16)= 0.1011</em>

<em>d) P (x>17) =0.0096 < 0.5</em>

Step-by-step explanation:

A. The binomial probability distribution has the following four properties

1. the outcomes of each trial maybe classified into success and failure.

2) the probability of success p remains constant for all trials.

3) the successive trials are all independent.

4) the experiment is repeated a fixed number of times ,n.

<em>These all conditions are fulfilled by the given question so it is a  binomial experiment. </em>

<em></em>

B) P (x=12) = 20C12 (0.64)^12 * (1-0.64)^8= 0.1678

C) P ( x ≥16) = P (x=16) + P (x=17) + P (x=18) + P (x=19)+ P (x=20)

where

P (x=16)= 20C16 (0.64)^16 * (1-0.64)^4= 0.0645

P (x=17)= 20C17 (0.64)^17 * (1-0.64)^3= 0.0270

P (x=18)= 20C18 (0.64)^18 * (1-0.64)^2= 0.0080

P (x=19)=20C19 (0.64)^10 * (1-0.64)^1= 0.0015

P (x=20)= 20C20 (0.64)^20 * (1-0.64)^0= 0.0001

so

P ( x ≥16)= 0.0645+ 0.0270 +0.0080+ 0.0015+0.0001= 0.1011

d) P (x>17)= P (x=17) + P (x=18) + P (x=19)+ P (x=20)

                    =0.0270 +0.0080+ 0.0015+0.0001

                         =0.0096

From this we see that the probability of  more than 17  people who flush public toilets with their foot is unusual because it is far away from the mean which is supposed to be somewhere 0.5 in a given distribution.

8 0
2 years ago
Mrs. Tyner drove about 150 km east from Pearland, to Houston, Texas. She
frozen [14]

Answer:

d = 167.7 m

Step-by-step explanation:

We have,

Mrs. Tyner drove about 150 km east from Pearland, to Houston, Texas. She  drove about another 75 km north to Dallas.

It is required to find the approximate air  distance from Pearland to Dallas, Texas.

The resultant vector will give the approximate air  distance. So,

d=\sqrt{150^2+75^2} \\\\d=167.7\ m

So, the approximate air  distance from Pearland to Dallas, Texas is 167.7 m.

3 0
3 years ago
Find g(x), where g(x) is the translation 7 units up of f(x)=x2.
AfilCa [17]

Answer:

g(x)=x^2+7

g(x) in the form a(x-h)^2+k would be:

g(x)=(x-0)^2+7

Step-by-step explanation:

Given:

Parent function:

f(x)=x^2

Translation occurs 7 units up to get g(x)

Translation Rules:

f(x)\rightarrow f(x)+c

If c>0 the function shifts c units to the up.

If c the function shifts c units to the down.

So, from the above rules g(x) can be represented as:

g(x)=f(x)+7     [7 units up]

g(x)=x^2+7

Writing g(x) in the form a(x-h)^2+k where a, h, and\ k are integers.

g(x)=1(x-0)^2+7

g(x)=(x-0)^2+7

3 0
3 years ago
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klemol [59]

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3 years ago
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Lelu [443]

Answer:

(fg)(x) = 6x³ - 2x² + 12x - 4

Step-by-step explanation:

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f(x) = 2x² + 4

g(x) = 3x – 1

( f g ) ( x ) = (2x² + 4) (3x – 1)

               = 6x³ - 2x² + 12x - 4

6 0
3 years ago
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