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3 years ago

Solve this system algebraically.

1 answer:

4 0

From y-2x+3=0 we have y=2x-3
So we can replace y by 2x-3 in the equation: 9x+2y=5
And we have 9x+2(2x-3)=5
Or 9x+4x-6=5
and 13x=5+6
Or x=11/13, then y=2x-3= 2. 11/13-3=22/13-3= -17/13

So we have the answer {(11/13, -17/13)}

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A nutrition laboratory tested 25 "reduced sodium" hotdogs of a certain brand, finding that the mean sodium content is 310 mg wit

inessss [21]

Answer:

The 95% confidence interval is $295.9 < \mu< 324.1$

A 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval

Step-by-step explanation:

From the question we are told that

The sample size is $n = 25$

The mean is $\= x = 310 \ mg$

The standard deviation is $\sigma = 36 \ mg$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

=> $\alpha = 5\%$

=> $\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the value is

$Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{36 }{\sqrt{25} }$

$E = 14.1$

The 95% level of confidence interval is mathematically represented as

$\= x - E < \mu$

substituting values

$310- 14.1 < \mu< 310+ 14.1$

$295.9 < \mu< 324.1$

The 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval

6 0

3 years ago

The diversity of algal species in a lake is calculated for a coastal area before and after an oil spill.

Svetradugi [14.3K]

I think it’s A.Indpendent Variable

5 0

2 years ago

To speed the process of surveying, surveyors use brass metal plates to record important information. The benchmarks, as they are

Agata [3.3K]

Answer:

Feet Above Sea Level

Step-by-step explanation:

A benchmark is a term in Surveying and Geo informatics, that describes a point of reference established at a known elevation which serves as basis in which other elevation or topographical point can be measured.

Therefore, when determining the benchmark, it's height is calculated relative to the vertical datum of the area, typically mean sea level, which is then recorded in FEET ABOVE SEA LEVEL.

Hence, Benchmarks measurements refer to FEET ABOVE SEA LEVEL.

5 0

3 years ago

Wilbur spends 2/3 of his income, share 1/12, and saves the rest. What part of his income does he save? Give the answer in simple

scoundrel [369]

Answer:

1/4 of his income.

Step-by-step explanation:

If Wilbur spends 2/3 of his income, 1/3 or 4/12 of it is left for other purposes (It is easier if everything has a common denominator of 12). And if he shares 1/12 of that remaining amount, there is 3/12 left. And when we simplify 3/12, we get 1/4.

*Mark me brainliest!*

7 0

2 years ago

Rewrite in simplest terms: -8(7y-8)-3(7y-7)

AfilCa [17]

Answer:

−77y+85

I hope I helped!

7 0

2 years ago