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3 years ago

What's the value of 3.872

Mathematics

1 answer:

erastova [34]3 years ago

5 0

3.872 is equal to 3872/1000, or 484/125.

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14. Each square on the grid below is 2 cm by 2 cm. Draw a rectangle

mash [69]

Answer:

draw it 4 by 2 4=length 2=width

Step-by-step explanation:

4 0

3 years ago

Telephone survey contact rates. Telephone surveys typically have high rates of nonresponse. This can cause bias when the variabl

Evgesh-ka [11]

The answer is b because you are going rate the determine the cause of bias

6 0

3 years ago

1; 4; 16; 64; ... what is the general term

Alborosie

Given:

The sequence is

1, 4, 16, 64

To find:

The general term of the given sequence.

Solution:

We have, the sequence

1, 4, 16, 64

Here, the ratio between two consecutive terms is same. So, it is a geometric sequence.

First term is:

$a=1$

Common ratio is:

$r=\dfrac{a_2}{a_1}$

$r=\dfrac{4}{1}$

$r=4$

The nth term of a geometric sequence is

$a_n=ar^{n-1}$ ...(i)

Where, a is the first term and r is the common ratio.

Putting a=1 and r=4 in (i), we get

$a_n=(1)(4)^{n-1}$

$a_n=4^{n-1}$

Therefore, the general term of the given sequence is $a_n=4^{n-1}$ .

8 0

2 years ago

each of equal sides of an isosceles triangle is 4cm greater than its height .If the base of triangle is 24 cm ,calculate the per

Montano1993 [528]

<h3>Answer:-</h3>

192 cm²

<h3>Step by step explanation :-</h3>

Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .

According to Pythagoras Theorem :-

=> base² + perpendicular ² = hypontenuse ²

=> 12² + x² = (x+4)²

=> 144 + x² = x² + 16 + 8x

=> 8x = 144-16

=> 8x = 128

=> x = 128/8

=> x = 16 cm .

Hence the height of ∆ is 16 cm .So the area will be half the product of base and altitude.

= 1/2 * 16 cm * 24cm .

= 192 cm²

<h3>★ Hence the area of the triangle is 192 cm² .</h3>

8 0

3 years ago

A class survey in a large class for first-year college students asked, “About how many minutes do you study on a typical weeknig

Anika [276]

Answer: (110.22, 125.78)

Step-by-step explanation:

The confidence interval for the population mean is given by :-

$\mu\ \pm z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size = 463

$\mu=118\text{ minutes}$

$\sigma=65\text{ minutes}$

Significance level : $\alpha=1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=\pm2.576$

We assume that the population is normally distributed.

Now, the 90% confidence interval for the population mean will be :-

$118\ \pm\ 2.576\times\dfrac{65}{\sqrt{463}} \\\\\approx118\pm7.78=(118-7.78\ ,\ 118+7.78)=(110.22,\ 125.78)$

Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)

3 0

3 years ago