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3 years ago

give two examples that show how using parentheses can change the order in which operations are performed in an expression.

2 answers:

8 0

1,
3 + 4 * 6 = 3 + 24 = 27 ( using PEMDAS which says multiply before add))

To do the addition first we put parentheses around the 3 + 4:-

(3 + 4) * 6 = 7*6 = 42

2.
6 + 8 / 4 = 6 + 2 = 8

If we put parentheses around the 6 and 8 :-

(6 + 8) / 4
= 14/4
= 3.5

erica [24]3 years ago

5 0

Parenthesis indicate which part of the equation is to be done first, see PEMDAS. For example, 3(5-2)-4=5, but 3*5-(2-4)=17

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We have n = 100 many random variables Xi ’s, where the Xi ’s are independent and identically distributed Bernoulli random variab

777dan777 [17]

Answer:

(a) The distribution of $X=\sum\limits^{n}_{i=1}{X_{i}}$ is a Binomial distribution.

(b) The sampling distribution of the sample mean will be approximately normal.

Step-by-step explanation:

It is provided that random variables $X_{i}$ are independent and identically distributed Bernoulli random variables with p = 0.50.

The random sample selected is of size, n = 100.

(a)

Theorem:

Let $X_{1},\ X_{2},\ X_{3},...\ X_{n}$ be independent Bernoulli random variables, each with parameter p, then the sum of of thee random variables, $X=X_{1}+X_{2}+X_{3}...+X_{n}$ is a Binomial random variable with parameter n and p.

Thus, the distribution of $X=\sum\limits^{n}_{i=1}{X_{i}}$ is a Binomial distribution.

(b)

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

The sample size is large, i.e. n = 100 > 30.

So, the sampling distribution of the sample mean will be approximately normal.

The mean of the distribution of sample mean is given by,

$\mu_{\bar x}=\mu=p=0.50$

And the standard deviation of the distribution of sample mean is given by,

$\sigma_{\bar x}=\sqrt{\frac{\sigma^{2}}{n}}=\sqrt{\frac{p(1-p)}{n}}=0.05$

(c)

Compute the value of $P(\bar X>0.50)$ as follows:

$P(\bar X>0.50)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{0.50-0.50}{0.05})\\$

$=P(Z>0)\\=1-P(Z$

*Use a z-table.

Thus, the value of $P(\bar X>0.50)$ is 0.50.

8 0

3 years ago

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STALIN [3.7K]

Answer:

1. C

2. B

3. A

4. C

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2 years ago

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Kim is reading a book with 380 pages. She read 20 pages each day until she reached Part 2 of the book. Part 2 of the book is 160

Talja [164]

Answer:

11 days

Step-by-step explanation:

first you subtract the 160 from 380 becuase thats a different part than you divide that number by 20 pages a day and end up with 11 days it took

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4 years ago

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What is the simplified form of 4x plus 2 over x plus 5 minus the fraction 3x plus 1 over x plus 5?

viva [34]

We have that

[(4x+2)/(x+5)]-[(3x+1)/(x+5)]
They have common denominators, so just add the numerators like normal fractions:
=[(4x+2)-(3x+1)]/(x+5)
=[(4x+2-3x-1)]/(x+5)
=[(x+1)]/(x+5)

the answer is
(x+1)/(x+5)

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4 years ago

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Write a system of linear equations for the graph below.

Vanyuwa [196]

Answer:

-3/-2

Step-by-step explanation:

because (x,y) the x coordinate is -3 and the y coordinate is -2

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3 years ago