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julia-pushkina [17]
3 years ago
5

Please help

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
3 0

Answer:

A piece-wise function is given as,

f(x)=\left\{\begin{matrix}-x+1 & x\leq 0\\ x+1 & x>0\end{matrix}\right

So, we see that,

The piece-wise function the function f(x)=|x|+1.

Substituting the values of x in the function, we can find the ordered pairs (x,f(x)) which together gives the graph of the function.

Thus, the graph for the given function can be seen below.

We can see that from this graph that,

f(x)\rightarrow \infty as x\rightarrow \infty and f(x)\rightarrow \infty as x\rightarrow -\infty

Also, the vertex of the graph is (01,), the point at which graph changes its direction.

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The probability of winning a certain lottery is 1/77076 for people who play 908 times find the mean number of wins
Alex73 [517]

The mean is 0.0118 approximately. So option C is correct

<h3><u>Solution:</u></h3>

Given that , The probability of winning a certain lottery is \frac{1}{77076} for people who play 908 times

We have to find the mean number of wins

\text { The probability of winning a lottery }=\frac{1}{77076}

Assume that a procedure yields a binomial distribution with a trial repeated n times.

Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.

n=908, \text { probability } \mathrm{p}=\frac{1}{77076}

\text { Then, binomial mean }=n \times p

\begin{array}{l}{\mu=908 \times \frac{1}{77076}} \\\\ {\mu=\frac{908}{77076}} \\\\ {\mu=0.01178}\end{array}

Hence, the mean is 0.0118 approximately. So option C is correct.

4 0
3 years ago
How many zeros are in the product of any nonzero whole number less than 10 and 500
worty [1.4K]

Answer:

If the non-zero whole number is even, then there are 3 zeroes

If the non-zero whole number is odd, then there are 2 zeroes

Step-by-step explanation:

* <em>Lets explain the information in the problem</em>

- Whole numbers are positive numbers, including zero, without

 any decimal or fractional

- Nonzero whole numbers are positive numbers, not including zero

- The non-zero whole numbers less then 10 are:

  1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9

- The product of any nonzero whole number less than 10 and 500

  means multiply any of nonzero number above by 500

- The number of zeros in the product is equal to the sum of the

  number of zeros at the end of each of the factors.

# 1 × 500 = 5 × 100 ⇒ 2 zeros

# 2 × 500 = 2 × 5 × 100 = 10 × 100 ⇒ 3 zeros

# 3 × 500 = 3 × 5 × 100 = 15 × 100 ⇒ 2 zeros

# 4 × 500 = 2 × 2 × 5 × 100 = 2 × 10 × 100 ⇒ 3 zeros

# 5 × 500 = 5 × 5 × 100 = 25 × 100 ⇒ 2 zeroes

# 6 × 500 = 2 × 3 × 5 × 100 = 3 × 10 × 100 ⇒ 3 zeros

# 7 × 500 = 7 × 5 × 100 = 35 × 100 ⇒ 2 zeroes

# 8 × 500 = 2 × 2 × 2 × 5 × 100 = 4 × 10 × 100 ⇒ 3 zeros

# 9 × 500 = 3 × 3 × 5 × 100 = 45 × 100 ⇒ 2 zeros

- From all answers above:

# If the non-zero whole number is even (2 , 4 , 6 , 8), then there are

  3 zeros in the product

# If the non-zero whole number is odd (1 , 3 , 5 , 7 , 9), then there are

  2 zeros in the product

8 0
3 years ago
Rewrite in simplest radical form
zheka24 [161]

Answer:

sqrt(x)

Step-by-step explanation:

1/ ( x^(-3/6))

We can simplify the fraction

1/ ( x^(-1/2))

A negative exponent means that since it is in the denominator, it goes to the numerator.  It still keeps the exponent.

x^ (1/2)

sqrt(x)


8 0
3 years ago
The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km) above sea level, then the pres
seraphim [82]

Answer:

373.8mmHg

Step-by-step explanation:

a =height (in km) above sea level,

the pressure P(a) (in mmHg) is approximated given as

P(a) = 760e–0.13a .

To determine the atmospheric pressure at 5.458 km, then we will input into the equation

P(5.458km) = 760e–0.13a .

= 760e^(-0.13×5.458)

=760e^-(0.70954)

= 760×0.4919

=373.8mmHg

Therefore, the atmospheric pressure at 5.458 km is 373.8mmHg

3 0
2 years ago
Write the phrase "Five subtracted from three times any number" as an algebraic expression
Dahasolnce [82]

Answer: 3x-5

Step-by-step explanation:

Five subtracted from three times any number can be represented as 3x-5.

4 0
2 years ago
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