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Hoochie [10]
4 years ago
10

A bottling company uses a filling machine to fill plastic bottles with popular cola. The contents are known to vary according to

a normal distribution with mean μ = 300 ml and standard deviation σ = 10 ml. What is the probability that the mean contents of the bottles in a six pack is less than 295 ml?
Mathematics
1 answer:
sergey [27]4 years ago
7 0

Answer: 0.3085

Step-by-step explanation:

Given: Mean : \mu=300\text{ ml}

Standard deviation : \sigma=10\text{ ml}

The formula to calculate the value of z-score :-

z=\dfrac{X-\mu}{\sigma}

For X = 295 ml, we have

z=\dfrac{295-300}{10}=-0.5

The p-value of z = P(Z=z

Hence, the probability that the mean contents of the bottles in a six pack is less than 295 ml =0.3085

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Please help me with this
kupik [55]

Answer:

–x² + 12x + 5

Step-by-step explanation:

x² + 3x

–2x² + 9x + 5

The sum of the above expression can be obtained as follow:

.... x² + 3x

+ –2x² + 9x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

–x² + 12x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5

3 0
3 years ago
Charlotte walked 1/2 of a mile in 1/4 of an hour. Compute the unit rate from the complex fraction 1/2 / 1/4 miles per hour. : )
tester [92]

The unit rate is 2 miles per hour

Step-by-step explanation:

The unit rate in this case will be found out by dividing the distance by time.

Given

Distance=d=\frac{1}{2}\\Time = t=\frac{1}{4}\\The\ unit\ rate\ will\ be:\\Unit\ rate=\frac{\frac{1}{2}}{\frac{1}{4}}

When there are fraction in the numerator and denominator, the fraction is simplified by multiplying the numerator fraction with reciprocal of the denominator fraction

Unit\ rate=\frac{1}{2}*4\\=2\ miles\ per\ hour

The unit rate is 2 miles per hour

Keywords: Unit rate

Learn more about unit rate at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

7 0
3 years ago
Part A) Julio makes a scale drawing of the kitchen floor to determine how many square feet of flooring he needs to buy . The sca
serg [7]
Part A) 
we know that
<span>scale ---------->  inch/4 feet=0.25 in/ft

</span>[scale]=[scale drawing]/[actual]
[actual]=[scale drawing]/[scale]

for <span>length --------> 4 1/2 in ---------> 4.5 in  (</span>scale drawing)
[actual]=[4.5]/[0.25]=18 ft

for <span>width ---------> 3 3/8 in</span> ---> (3*8+3)/8 ---> 27/8 in  (scale drawing)
[actual]=[27/8]/[0.25]=13.5 ft

the answer part A is
length actual <span>kitchen floor is 18 ft
</span>width actual kitchen floor is 13.5 ft

Part B)  
the area of one square in the actual=(1/2)*(1/2)=0.25 ft²
total area gray tiles=0.25*14=3.5 ft²
total area white tiles=0.25*10=2.5 ft²

find <span>how many tiles 2 in by 2 in of each color will he need
1ft</span>²-------------> 144 in²
gray tiles
3.5 ft²---------------> 3.5*144=504 in²
[tiles 2 in by 2 in gray]=504/(2*2)=126 gray tiles 

white tiles
2.5 ft²---------------> 2.5*144=360 in²
[tiles 2 in by 2 in white]=360/(2*2)=90 white tiles 

the answer Part B) is
126 gray tiles
90 white tiles 



6 0
4 years ago
Read 2 more answers
Mike also decided to create a function to model his elevation, in feet from sea level, tminutes into his daily commute to work.
s2008m [1.1K]

Answer:

the answer is d

Step-by-step explanation:

4 0
4 years ago
(5p+11)-(3p+7)=-4
fiasKO [112]
Step  1  :Pulling out like terms :

<span> 1.1 </span>    Pull out like factors :

   2p + 8  =   2 • (p + 4) 

<span>Equation at the end of step  1  :</span><span> Step  2  :</span>Equations which are never true :

<span> 2.1 </span>     Solve :    2   =  0

<span>This equation has no solution.
</span> A a non-zero constant never equals zero.

Solving a Single Variable Equation :

<span> 2.2 </span>     Solve  :    p+4 = 0<span> 

 </span>Subtract  4  from both sides of the equation :<span> 
 </span>                     p = -4

One solution was found :                   p = -4
8 0
4 years ago
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