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3 years ago

Which number is smaller, 2.8 or 2.75

Mathematics

2 answers:

Sedbober [7]3 years ago

8 0

2.75 is the smaller number

Gnom [1K]3 years ago

7 0

Answer: 2.75

2.8 is basically 2.80 and that is 0.05 more, therefore 2.65 is the smaller number

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Is X-1 a factor of x^5-1?

Musya8 [376]

Answer: No

Explanation:

According to factor theorem, if f(x)=0 then x is a factor of the given function or equation.

As x-1 is a factor

We equate x-1=0

x=1

Substituting in x^5-1, we have 1^5-1 =1-1=0.

Hence, it's a factor.

When coming to x^5+1, it would become 1^5+1=1+1=2

So x-1 isn't a factor of x^5+1.

4 0

2 years ago

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

3 years ago

PLZ PLZ someone help me

RSB [31]

Answer:

y=4/5x

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

An airliner carries 350 passengers and has doors with ah height of 72 in. Heights of men are normally distributed with a mean of

BaLLatris [955]

Answer:

P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %

Step-by-step explanation:

We know:

-A normal distribution

-Mean μ = 69.0 in

-Standard deviation σ = 2.8 in

- Population n = 350

And doors height 72 in

If passengers will pass through the door without bending that means he must be under 72 in tall, therefore we are looking for the probability of men under 72 in, to find such probability we compute the value of Z according to

Z = ( X - μ ) / σ ⇒ Z = ( 72 - 69 ) / 2.8

Z = 1.07

Now with this value we look the Z tables, to find a value of: 0.8577

So the probability of select a men and that he can fit through the door is

P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %

3 0

4 years ago

ANSWER THIS PLEASE !!!!!!

Korolek [52]

Answer:

Step-by-step explanation:

Becuase 68 is closer to c than b

5 0

3 years ago