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3 years ago

10+x=5(1/5x+2) Equations with infinite and no solution

Mathematics

1 answer:

Luden [163]3 years ago

6 0

Answer:

Infinitely many solutions.

Step-by-step explanation:

10+x=5(1/5x+2)

10+x=x+10

infinitely many solutions

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A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq

Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}$

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$12.8 - 2.58 \frac{16.6}{\sqrt{1003}}=11.448$

$12.8 + 2.58 \frac{16.6}{\sqrt{1003}} =14.152$

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

3 0

3 years ago

4{3sqaured+4(116-8(2×8))} I need to know ASAP it 9:30 where I live pls hwlp

inysia [295]

Start with 8*2=16
116-8= 108
108(16)=1728
3^2+4=13 13(1728)=22464
4(22464)=89856
The answer is 89,856

3 0

3 years ago

Use the ladder method to find the factored version of this expression. (3x-18)

Vera_Pavlovna [14]

Answer:

-51

Step-by-step explanation:

cheggs acc

6 0

3 years ago

A drug used to relieve anxiety and nervousness has a half-life of 16 hours. if a doctor prescribes one 2.8-milligram every 24 ho

dlinn [17]

After 24 hours, 35.4% of the initial dosage remains on the body.

<h3>What percentage of the last dosage remains?</h3>

The exponential decay is written as:

$f(x) = A*e^{-k*x}$

Where A is the initial value, in this case 2.8mg.

k is the constant of decay, given by the logarithm of 2 over the half life, in this case, is:

$k = ln(2)/16h$

Replacing all that in the above formula, and evaluating in x = 24 hours we get:

$f(24h) = 2.8mg*e^{-24h*ln(2)/16h} = 0.9899 mg$

The percentage of the initial dosage that remains is:

$P = \frac{0.9899mg}{2.8mg}*100\% = 35.4\%$

If you want to learn more about exponential decays:

brainly.com/question/11464095

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8 0

2 years ago

What number is 11 1/3% of 215?

gogolik [260]

8 + 3/4 - 11 + 1/3 = - 215/12 = - 17 11/12 = - 17.9166666667; Result written as: improper fraction, mixednumber (also called mixed fraction) and decimal number

3 0

3 years ago

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