Any three distinctive points are ____

If 2 pounds of cottage cheese cost $3.20 what is the cost of a 3 ounce portion of cottage cheese

natka813 [3]

3.20 divieded my 2 =1.6 spring 3.20 +1.6 =4.8

3 0

3 years ago

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3/2 x 4/3 x 5/4… x 2006/2005

Lady_Fox [76]

Answer:

1003

Step-by-step explanation:

The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.

The simplest form of a telescoping product $a_{k} \ = \ \displaystyle\frac{t_{k}}{t_{k+1}}$ , in which the products of <em>n</em> terms is

$a_{1} \ \times \ a_{2} \ \times \ a_{3} \ \times \ \cdots \times \ a_{n-1} \ \times \ a_{n} \ = \ \displaystyle\frac{t_{1}}{t_{2}} \ \times \ \displaystyle\frac{t_{2}}{t_{3}} \ \times \ \displaystyle\frac{t_{3}}{t_{4}} \ \times \ \cdots \ \times \ \displaystyle\frac{t_{n-1}}{t_{n}} \ \times \ \displaystyle\frac{t_{n}}{t_{n+1}} \\ \\ \-\hspace{5.55cm} = \ \displaystyle\frac{t_{1}}{t_{n+1}}.$ .

In this particular case, $t_{1} \ = \ 2$ , $t_{2} \ = \ 3$ , $t_{3} \ = \ 4$ , ..... , in which each term follows a recursive formula of $t_{n+1} \ = \ t_{n} \ + \ 1$ . Therefore,

$\displaystyle\frac{t_{2}}{t_{1}} \times \displaystyle\frac{t_{3}}{t_{2}} \times \displaystyle\frac{t_{4}}{t_{3}} \times \cdots \times \displaystyle\frac{t_{n}}{t_{n-1}} \times \displaystyle\frac{t_{n+1}}{t_{n}} \ = \ \displaystyle\frac{3}{2} \times \displaystyle\frac{4}{3} \times \displaystyle\frac{5}{4} \times \cdots \times \displaystyle\frac{2005}{2004} \times \displaystyle\frac{2006}{2005} \\ \\ \-\hspace{5.95cm} = \ \displaystyle\frac{2006}{2} \\ \\ \-\hspace{5.95cm} = 1003$

6 0

2 years ago

Evaluate: sin(30°)!! Also what’s cos(60°)??

Crazy boy [7]

Answer:

sin(30°)=cos(60°)=½

Step-by-step explanation:

Sin(30°) and cos(60°) have the same value of √1/2 which gives ½

5 0

3 years ago

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A nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325-mg upper limit set by regulations f

tekilochka [14]

Answer:

Step-by-step explanation:

Given that a nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325-mg upper limit set by regulations for "reduced sodium" franks

90% confidence interval is

(317.2, 326.8)mg.

Using confidence intervals,we can check whether null hypothesis is true.

Here

$H_0: \bar x = 325\\H_a: \bar x$

(left tailed test at 10% significance level)

We check whether confidence interval 90% contains the mean value.

We find 325 belongs to the confidence interval

Hence H0 is true

The hot dogs do not satisfy.

4 0

4 years ago

To stream Netflix without major interruptions, the desired internet speed should be 75 Mbps. However, network traffic can affect

WINSTONCH [101]

Answer:

See, this is what i do not get. equations like this. People now in days would just by faster internet speed. Why would we need to know this if we will never ever get to use this in our life. Also you could just call the internet cable person. This makes absolutely no since at all. Also who even uses Netflix anymore?

Step-by-step explanation

8 0

3 years ago

Any three distinctive points are _____ collinear