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blondinia [14]
2 years ago
12

Please help me solve #6 and #8 Also explain

Mathematics
1 answer:
Vesna [10]2 years ago
4 0
Transitive property
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normally distributed with mean 24.6 seconds and standard deviation 0.64 seconds;the lower finishing time, the better. If the qua
marshall27 [118]

Answer:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the finishing time of a population, and for this case we know the distribution for X is given by:

X \sim N(24.6,0.64)  

Where \mu=24.6 and \sigma=0.64

Solution to the problem

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.15   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

3 0
2 years ago
What is multiplication
yawa3891 [41]
<h2>Answer:</h2>

A way of adding numbers. Contrast to division.

<h2>Step-by-step explanation:</h2>

Multiplication is when you have a number that you need to multiply by that number. Okay, let me give you an example:

2x4 means = 2+2+2+2 or 4+4

3x6 means = 3+3+3+3+3+3 or 6+6+6

the answer will always be the same.

GOOD LUCK !! :)

- Danyal Ajmal

6 0
3 years ago
Read 2 more answers
Simplify<br> 1/2 + 2/3 x 1 1/3
Blizzard [7]
My work to your question
6 0
2 years ago
The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
andrew11 [14]

Answer: There are 32 pints of first type and 128 pints of second type in mixture.

Step-by-step explanation:

Since we have given that

Percentage of pure fruit juice in first type = 60%

Percentage of pure fruit juice in second type = 85%

Percentage of pure fruit juice in mixture = 80%

We will use "Mixture and Allegation" to find the ratio of first and second type in mixture:

          First type          Second type

               60%                    85%

                              80%

------------------------------------------------------------------------

     85-80               :              80-60

       5%                  :                 20%

        1                     :                   4

so, the ratio of first and second type is 1:4.

Total number of pints of mixture = 160

Number of pints of mixture of  first type in mixture  is given by

\dfrac{1}{5}\times 160\\\\=32\ pints

Number of pints of mixture of second type in mixture is given by

\dfrac{4}{5}\times 160\\\\=4\times 32\\\\=128\ pints

Hence, there are 32 pints of first type and 128 pints of second type in mixture.

6 0
3 years ago
Simplify the expression 14b-2-17b
Kamila [148]
The answer to the following question that you have asked is -2-3b
4 0
3 years ago
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