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almond37 [142]
3 years ago
5

What method is best to solve each equation?

Mathematics
1 answer:
Paladinen [302]3 years ago
7 0
It really depends on your preference of method
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A physicist examines 25 water samples for nitrate concentration. The mean nitrate concentration for the sample data is 0.165 cc/
xz_007 [3.2K]

Answer:

The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).

Critical value t=1.318

Step-by-step explanation:

We have to calculate a 80% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=0.165.

The sample size is N=25.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{0.078}{\sqrt{25}}=\dfrac{0.078}{5}=0.016

The degrees of freedom for this sample size are:

df=n-1=25-1=24

The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=1.318 \cdot 0.016=0.021

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 0.165-0.021=0.144\\\\UL=M+t \cdot s_M = 0.165+0.021=0.186

The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).

6 0
3 years ago
10. Find the slope and y-intercept of the line.<br> y = 7/5x - 3
myrzilka [38]

Answer:

slope = 7/5

y-int = -3

Step-by-step explanation:

this equation is in slope-intercept form. in thsi form, the slope will always be the coefficient of x, and the y-intercept will always be the last constant, or the "b" term (dont forget to include the negative!)

8 0
3 years ago
How do i check an equation for extraneous solutions?
Marina86 [1]
Example:

\sqrt x(x+1)=0

This suggests two solutions, x=0 and x=-1.

However, upon plugging these solutions back into the equation, you get

\sqrt0(0+1)=0(1)=0

which checks out, but

\sqrt{-1}(1-1)=0

does not because \sqrt x is defined only for x\ge0 (assuming you're looking for real solutions only). So, we call x=-1 an extraneous solution, and the complete solution set (over the real numbers) is x=0.
7 0
3 years ago
Read 2 more answers
After adding an 8-pound box with 6 identical boxes, the box weighted 72 pounds. The equation is 6x + 8 = 72. What does X equal?
Marianna [84]

Answer: x = 10.6666666 or 10 2/3

Step-by-step explanation:

6x + 8 = 72

     - 8   -8

6x = 64

6x/6 = 64/6

x = 10.6666666 aka 10 2/3

8 0
3 years ago
Read 2 more answers
I need help on this and the first person that answer this correctly gets a BRANLIST(answer if you know)​
irakobra [83]

Answer:

C

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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