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1 year ago

Give the degree of the polynomial. 10yx^5w^4-w^3v^5-5x^11-6

Mathematics

1 answer:

torisob [31]1 year ago

4 0

10yx⁵w⁴ - w³v⁵ - 5x¹¹ - 6

Degree = biggest exponent = 11

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A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

6 0

2 years ago

Starting in 2011. the tax rate in Illinois changed to 5% of personal income Previous, the tax rate was 3% of personal income. Th

never [62]

Answer:

For the first one you would want to multiple the following:

Step-by-step explanation:

32,000 x 0.03 = 960

And The Second One:

32,000 x 0.05 = 1,600

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3 years ago

Using the distributive property, which expression is equivalent to 6(g + 3)?

const2013 [10]

Step-by-step explanation:

Property: $a(b+c)=ab+ac$

<u />

<u>Use the Distributive Property:</u>

<u /> $6(g+3) =6(g)+6(3)=6g+18$

6g + 18 is an equivalent expression when the distributive property is used.

8 0

2 years ago

You deposit $5000 in an account earning 8% interest compounded monthly. How much will you have in the account in 15 years?

Rasek [7]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}$

$\bf A=5000\left(1+\frac{0.08}{12}\right)^{12\cdot 15}\implies A=5000(1.00\overline{66})^{180}\implies A\approx 16534.61$

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2 years ago

What is the factor of 240 and 360?

3241004551 [841]

Answer:

Step-by-step explanation:

1. 60*4=240

2. 60*6=360

3. the answer is 60

6 0

2 years ago

Give the degree of the polynomial. 10yx^5w^4-w^3v^5-5x^11-6​

Give the degree of the polynomial. 10yx^5w^4-w^3v^5-5x^11-6