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Firlakuza [10]
3 years ago
7

Chistopher is 20 years younger than ishaan. Ishaan and chistopher first met two years ago. Fourteen years ago, ishaan was 3 time

s as old as Christopher. How old is ishaan now?
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
4 0

Answer:

Ishaan is 49 years old.

Step-by-step explanation:

Let the present age of Christopher be 'C'.

Let the present age of Ishaan be 'I'.

From the given data, we can form equations which will help us solve the problem.

Christopher is 20 years younger than Ishaan. This means:

C = I - 20                  . . . (1)

Fourteen years ago, Ishaan would have been (I -14) years old and Christopher (C - 14) years old.

From the data, I - 14 = 3(C - 14)         . . . (2)

Substituting the value of C in Equation 2, we get:

I - 14 = 3(I - 20 - 14)

⇒ I - 14 = 3(I - 34)

⇒ I - 14 = 3I - 112

⇒ 2I = 112 + 14 = 98

⇒ I = 49

So, Ishaan is 49 years old.

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3 0
3 years ago
The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. There
Oksi-84 [34.3K]

Answer:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

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 certain lifetime of a population, and for this case we know the distribution for X is given by:

X \sim N(10,1)  

Where \mu=10 and \sigma=1

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

P(X>a)=0.05   (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 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

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=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

4 0
3 years ago
Which of the following is a result of shifting a circle with equation (x + 3)² + (y - 2)² = 36 left 3 units?
Furkat [3]
A circle with equation:
( x + 3 )² + ( y - 2 )² = 36
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r = 6 ( the radius of a circle stays the same )
After shifting 3 units left : C 1 ( - 6, 2 ).
Answer:
( x + 6 )² + ( y - 2 )² = 36 
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Answer:

71

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So now its-x + y = 6 &#10;
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4 0
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