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Anestetic [448]
3 years ago
10

Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→4 x2 − 16 x

2 − 4x
Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0
Probably you are supposed to compute

\displaystyle\lim_{x\to4}\frac{x^2-16}{x^2-4x}

Factorize the numerator and denominator, then simplify:

\displaystyle\lim_{x\to4}\frac{(x-4)(x+4)}{x(x-4)}=\lim_{x\to4}\frac{x+4}x=\frac{4+4}4=2
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1² x 1/4m² x (-6)ml find the product<br>​
Solnce55 [7]

Answer:

-1.5 m2

Step-by-step explanation:

Hope this helps.

3 0
3 years ago
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-6x + 1 &gt; -23 which value of x is in the solution set of the inequality
Gennadij [26K]
-6x + 1 > -23 <=>

-6x > -24 <=>

x < 4
5 0
3 years ago
Find the value of x in the equation below 4=x/5
victus00 [196]

Answer:

x = 9. Rearrange variables to the left side of the equation: - x = - 5 - 4

Calculate the sum or difference: x=9

Step-by-step explanation:

3 0
1 year ago
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A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann
emmasim [6.3K]

Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A confidence interval has two bounds, the lower and the upper

Lower bound:

\pi - M

Upper bound:

\pi + M

In this problem, we have that:

\pi = 0.26, M = 0.05

Lower bound:

\pi - M = 0.26 - 0.05 = 0.21

Upper bound:

\pi + M = 0.26 + 0.05 = 0.31

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

4 0
3 years ago
Convert the following decimals to percent.<br> 1) 4.75 =<br> 2) 0.99 = <br> 3) 10.4 =
Scorpion4ik [409]

The percentage value of the decimals are 475%, 99% and 1040% respectively.

Data;

  • 4.75
  • 0.99
  • 10.4

<h3>Conversion of Decimals to Percentage</h3>

a) 4.75

To convert a decimal value to percentage, all we simply need to do is multiply that number by 100.

4.75 * 100 = 475 \%

b) 0.99

To convert this decimal value to percentage, we just need to multiply this number by 100.

0.99 * 100 = 99 \%

c) 10.4

To convert this decimal value to percentage, we just need to multiply this number by 100.

10.4 * 100 = 1040\%

Learn more on conversion of decimal value to percentage here;

brainly.com/question/870657

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6 0
2 years ago
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