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2 years ago

1/7 * 17 as a mixed number in simplest form

Mathematics

1 answer:

Mandarinka [93]2 years ago

6 0

Answer:

2 3/7

Step-by-step explanation:

To find the mixed number, take 17 and divide by 7

7 does into 17 2 times

2*7 = 14

Subtract 14 from 17

17-14 = 3

Put the remainder over the denominator of 7

17/7 = 2 3/7

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A factory makes silicon chips for use in computers. It is known that about 90% of the chips meet specifications. Every hour a sa

Anastaziya [24]

Answer:

e. m = 16.2; s = 1.27

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we can assume that the distribution for X is given by:

$X \sim Binom(n=18, p=0.9)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Normal approximation

We need to check the condition in order to use the normal approximation.

$np=18*0.9=16.2 \geq 10$

So we see that we satisfy the condition and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=18*0.9=16.2$

$\sigma=\sqrt{np(1-p)}=\sqrt{18*0.9(1-0.9)}=1.273$

The best answer would be:

e. m = 16.2; s = 1.27

5 0

3 years ago

Imagine you have invested $800 into a savings account that earns 3.5% interest compounded annually. What is the balance of your

Dvinal [7]

Answer:

The balance of your account after 5 years without more deposits or withdrawals will be $950.15.

Step-by-step explanation:

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

$P = 800, r = 0.035, t = 5, n = 1$