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3 years ago

What is a polynomial

1 answer:

5 0

A polynomial is a collection of terms that are separated by a plus or a minus sign. There a few types of polynomials.

Monomials have one term.
Binomials have two terms.
Trinomials have three terms.

All of these are classified as a polynomial.

Once you go over 3 terms, it's simply called a polynomial.

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This is a one step equation. PROBLEM: 1/4x = 20 plx help me

Margaret [11]

1/4 = .25
so .25x = 20
divide
and u get 80

8 0

2 years ago

(3x -12) - (1/2xy - 10) if x=3 and y=6

Delicious77 [7]

I think may be 2 but not 100% sure

4 0

2 years ago

In a survey of 200 employees, 65% agreed that the management of the cafeteria should be changed. If the confidence interval is 9

Sonbull [250]

Answer:

Option A) 144

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 200

$\hat{p} = 65\% = 0.65$

Margin of error =

$\pm 6.75\% = \pm 0.0675$

Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$\hat{p}\pm \text{Margin of error}$

Putting values:

$(0.65 \pm 0.0675)\\=(0.5825,0.7175)$

Thus, maximum proportion is

$0.7175 = 71.75\%$

Maximum number of employees who could have agreed =

$71.75\% \times 200\\\\=\dfrac{71.75}{100}\times 200\\\\= 143.5$

This, approximately maximum 144 employees agreed that the management of the cafeteria should be changed.

Option A) 144

7 0

3 years ago

A pyramid has a square base of 14cm and a height is 19 cm and slanted height is 21cm. Find its total surface area and it's volum

Artemon [7]

Answer:

Total surface area=728cm^2

Volume of pyramid=1241.33 cm^3

Step-by-step explanation:

Given data

Square base= 14cm

Height= 19cm

Slant height = 21cm

Area of all four triangular surfaces= 1/2B*H*4

Area of all four triangular surfaces= 1/2*14*19*4

Area of all four triangular surfaces= 1/2*1064

Area of all four triangular surfaces=532 cm^2

Area of square base= 14^2

Area of square base=196cm^2

Total surface area= Area of all four triangular surfaces+Area of square base

Total surface area=532+196

Total surface area=728cm^2

Volume of pyramid= a^2h/3

Volume of pyramid= 14^2*19/3

Volume of pyramid= 196*19/3

Volume of pyramid=3724/3

Volume of pyramid=1241.33 cm^3

5 0

2 years ago

Flaws in concrete beams follow a Poisson process. Beams fabricated by process A have flaw rates of 10/meter while beams fabricat

Kay [80]

Answer:

P(A | Y = 8) = 0.633

Step-by-step explanation:

It is really a simple and interesting question, as it involves the Poisson distribution and probability.

First of all, let's try to understand the problem statement clearly. It says that there are two process by which beams are made, namely A and B.

It further states that, beam made by process A has = 10 flaws per meter.

Beam made by process B has = 5 flaws per meter.

Finally, it says that from a yard containing equal numbers of process A and process B beans, one beam is randomly selected and 1 - meter of it is inspected. And they have found 8 flaws in it.

We now, have to find out the probability that the inspected beam is from process A.

For this,

Let's suppose, Y is no. of flaws

So,

P (Y=8|A) = $\frac{e^{-10}. 10^{8} }{8!}$

where , e = Euler's Constant = 2.71828

P (Y=8|A) = 0.11

Similarly for process B

P (Y=8|B) = $\frac{e^{-5}. 5^{8} }{8!}$

P (Y=8|B) = 0.06

As, we know from the problem statement that there are equal numbers of process A and process B beams.

So, the probability of A = Probability of B = 0.5

P(A) = 0.5

P(B) = 0.5

We need to find, P(A|Y=8) and for this we need to find the P(Y=8) first.

Using the law of total probability:

P(Y=8) = P(Y = 8 |A) P(A) + P(Y = 8|B) P(B)

Plug in the values:

P(Y=8) = (0.11 x 0.5) + (0.06 x 0.5)

P(Y=8) = 0.088

Now, by applying Bayes Theorem, we can find the required probability:

P(A | Y = 8) = P(Y = 8 | A) P(A) / P(Y = 8)

8 flaws are found, the probability the inspected beam was fabricated using process A is :

P(A | Y = 8) = 0.11 x 0.5 / 0.088

P(A | Y = 8) = 0.633

Furthermore,

8 flaws are found, the probability the inspected beam was fabricated using process B is :

P(B | Y = 8) = 1-P(A | Y = 8)

P(B | Y = 8) = 1 - 0.633

P(B | Y = 8) = 0.367

5 0

3 years ago