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2 years ago

Find the indicated limit, if it exists.

Mathematics

1 answer:

lakkis [162]2 years ago

3 0

Answer:

Step-by-step explanation:

As x approaches -10 from the left, f(x) approaches -4 + 10 = 6

As x approaches -10 from the right, f(x) approaches -10 + 16 = 6

f(-10) = 6

Putting that all together, we have a limit of 6

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I need help need help with Geometry

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

X is 21

z is the same as 111

y is 48

4 0

2 years ago

1.13 Thank you! (Sorry it’s so blurry)

VikaD [51]

$\sqrt[8]{48^4}$ can be rewritten as $48^4$ to the $\frac{1}{8}$ power:

$(48^4)^ \frac{1}{8}$

Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:

$(48^ \frac{1}{2})$

This is equivalent to $\sqrt{48}$ , so now, we just simplify:

$\sqrt{48}= \sqrt{16*3}= \sqrt{16}* \sqrt{3}=4 \sqrt{3}$

So:

$\sqrt[8]{48^4} =4 \sqrt{3}$

4 0

3 years ago

A recent survey found that 70% of all adults over 50 wear

lubasha [3.4K]

Answer:

There is an 84.97% probability that at least six wear glasses.

Step-by-step explanation:

For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 10, p = 0.7$

What is the probability that at least six wear glasses?

$P(X \geq 6) = P(X = 6) + `P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.8497$

There is an 84.97% probability that at least six wear glasses.

5 0

2 years ago

Which expression is equivalent to n + n - .18n

wariber [46]

Answer:7500

Step-by-step explanation:

if you divide 15000 and 2 you get 7500.and if you get 7500 you have to multiply to check if its correct so 7500 times 2 equals 15000. So the answer is 7500.

8 0

2 years ago

What is the distance between the points? Round to the nearest 10th if necessary

Ulleksa [173]

Step-by-step explanation:

because

√(11)²+9²=√202=14,2

4 0

2 years ago

Find the indicated limit, if it exists. ​

Find the indicated limit, if it exists.