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LUCKY_DIMON [66]
3 years ago
10

Consider the difference of squares identity a^2-2b^2=(a+b)(a-b)

Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0

Answer: a= 3x and b= 7

Step-by-step explanation:

^^

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A random sample of 20 purchases showed the amounts in the table (in $). The mean is $49.57 and the standard deviation is $20.28.
son4ous [18]

Answer:

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.325

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.325*\frac{20.28}{\sqrt{20}} = 12.17

The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.

The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

3 0
4 years ago
What are the solution(s) of x2-4-0?
Elanso [62]

Answer:

For x^2 - 4 = 0, x  = 2, or x = - 2.

Step-by-step explanation:

Here, the given expression is :

x^2 - 4 = 0

Now, using the ALGEBRAIC IDENTITY:

a^2 - b^2 = (a-b)(a+b)

Comparing this with the above expression, we get

x^2 - 4 = 0  = x^2 - (2)^2 = 0\\\implies (x-2)(x+2) = 0

⇒Either (x-2) = 0 , or ( x + 2) = 0

So, if ( x- 2)   = 0 ⇒ x =  2

and if ( x + 2) = 0   ⇒ x = -2

Hence, for x^2 - 4 = 0, x  = 2, or x = - 2.

4 0
4 years ago
Read 2 more answers
Look at the graph below when did Denise stop walking?
bonufazy [111]

Answer:

B, between 1 and 3 seconds.

Step-by-step explanation:

This is because the line is horizontal, and no changes were made, meaning she stopped walking.

Hope this helped.

4 0
3 years ago
Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2? The graph mov
alexandr402 [8]

Answer:

Third option: The graph moves left 18 units.

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If f(x)+k, the function is shifted up "k" units.

If f(x)-k, the function is shifted down "k" units.

If f(x+k), the function is shifted left "k" units.

If f(x-k), the function is shifted right "k" units.

In this case, we can observe that graph of y = (x - 9)^2 is changed to y = (x + 9)^2

Since:

 -9+18=9

We can conclude that the function y = (x - 9)^2 is shifted left 18 units to get the function y = (x + 9)^2.

3 0
3 years ago
Read 2 more answers
How do i do xy=4 <br> 2x-y+2=0 <br> i'm solving by substition
GarryVolchara [31]

so I think the answer is very difficult ask to someone else

Step-by-step explanation:

xy=4

2x-y+2=0

4 0
3 years ago
Read 2 more answers
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