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Sloan [31]
3 years ago
6

2. Dentre as formas de representar um número decimal, a mais comum é a que utiliza vírgula. Valor como 0,25 está presente nos co

mércios, nos hospitais, nas lanchonetes e em muitos outros lugares. Esse valor também pode ser representado por A. ( ) 25/10 B. ( ) 1/4 C. ( )1/25 D. ( ) 1/25
Mathematics
1 answer:
sleet_krkn [62]3 years ago
4 0

Answer:

B: 0.25 = 1/4

Step-by-step explanation:

Queremos encontrar otra representación del número 0.25

Notar que hay dos decimales luego de la coma, por lo que podemos multiplicar este número y dividir por 100.

0.25 = 0.25*1 = 0.25*(100/100) = (0.25*100)/(100) = 25/100

Ahora tenemos el número escrito como una fracción, la cual debemos simplificar.

25/100

Podemos ver que tanto el numerador como el denominador son multiplos de 5, por lo que podemos dividir ambos por 5:

25/100 = (25/5)/(100/5) = 5/20

Nuevamente, ambos son multiplos de 5, por lo que podemos dividir ambos por 5.

5/20 = (5/5)/(20/5) = 1/4

así tenemos:

0.25 = 25/100 = 5/20 = 1/4

0.25 = 1/4

La opción correcta es B.

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Suppose we take a random sample of 41 state college students. Then we measure the length of their right foot in centimeters. We
Debora [2.8K]

Answer:

ME = \frac{25.09-21.01}{2}= 1.69

The general formula for the margin of error is given by:

ME= t_{\alpha/2} \frac{s}{\sqrt{n}}

And for this case the width is:

Width= 2*t_{\alpha/2} \frac{s}{\sqrt{n}}

And if we decrease the confidence level from 95% to 90% then the critical value t_{\alpha/2} would decrease and in effect the width for this new confidence interval decreases.

As confidence level decreases, the interval width decreases

Step-by-step explanation:

For this cae we know that the sample size selected is n =41

And we have a confidence interva for the true mean of foot length for students at a college selected.

The confidence interval is given by this formula:

\bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}

And for this case the 95% confidence interval is given by: (21.71,25.09)

A point of etimate for the true mean is given by:

\bar X = \frac{21.71+25.09}{2}= 23.4

And the margin of error would be:

ME = \frac{25.09-21.01}{2}= 1.69

The general formula for the margin of error is given by:

ME= t_{\alpha/2} \frac{s}{\sqrt{n}}

And for this case the width is:

Width= 2*t_{\alpha/2} \frac{s}{\sqrt{n}}

And if we decrease the confidence level from 95% to 90% then the critical value t_{\alpha/2} would decrease and in effect the width for this new confidence interval decreases.

As confidence level decreases, the interval width decreases

3 0
3 years ago
What is the number in scientific notation? ​0.0765
devlian [24]

Answer:

7.65 * 10^{-2} is scientific notation of 0.0765

Step-by-step explanation:

For scientific notation , follow the following notation:

a * 10^{b} -------->(equation 1)

Let,  a^{'} =  0.0765

In standard form

 a =  7.65

As decimal point move 2 places from left to right, therefore

b = -2

Put the value of 'a' and 'b' in (equation 1)

7.65 * 10^{-2} is scientific notation of 0.0765

4 0
4 years ago
I have no idea please help
melamori03 [73]
22. Alternate angles

23. 4: (h_{b} = 2 \frac{a}{b}, substitute b with 10 and a with 20 and you get 4.)

24. 0.28: 0.12 + 0.60 = 0.72. Probability is always out of 1, so 1 - 0.72 should give you the probability of losing, which is 0.28. 
8 0
3 years ago
Judy is pulling on a trunk with a 12-N force. Ike pulls at right angles to Judy. With how much force must Ike pull to make the r
Ratling [72]
To understand the problem, let's first draw a free body diagram of the forces exerted by Judy and Ike on the truck. (Refer to the left side of the attachment).

To solve for the resultant, we just use the tip-to-tail method. This is illustrated on the right side of the attachment.

We can see that the tip-to-tail method forms a right triangle thus we can just apply the Pythagorean theorem in solving for Ike's force.

20^{2} = 12^{2} + F^{2}
400 = 144 + F^{2}
256 = F^{2}
F = 16.0

ANSWER: Ike must pull the truck with a force of 16.0 N.

8 0
3 years ago
A football field is 100 yards long. How many feet is that?
Dmitriy789 [7]

1 yard=3 feet so 100 yard=300 feet

3 0
3 years ago
Read 2 more answers
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