All categories

3 years ago

Write 2/3 as a decimal rounded to 3 sighificant figures

Mathematics

1 answer:

jasenka [17]3 years ago

8 0

Answer:

$0.667$

Step-by-step explanation:

2/3= 0.66666

Dividing the given value to obtain the decimal value gives:

$\frac{2}{3} =0.6666666666666667$

The last number is 7 which is greater than 5 this will increment the previous number by 1.

As,the previous values are also '6', so this step will continue till three significant figures.

$0.666666666666667\\0.66666666666667\\0.6666666666667\\0.666666666667\\0.66666666667\\0.6666666667\\0.666666667\\0.66666667\\0.6666667\\0.666667\\0.66667\\0.6667\\0.667$

So the value rounded up to 3 significant is $0.667$

You might be interested in

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago

Find the volume of the figure below.

Gala2k [10]

$V=\pi r^{2} h\\V=\pi (3)^{2} (6)\\V=\pi (9)(6)\\V=54\pi units^{3} \\ or\\V=169.64(rounded to hundredth)$

7 0

3 years ago

Help me out please !!!

IgorLugansk [536]

Answer:

5/1

Step-by-step explanation:

Cause I say so. Rise/run is rate of change.

6 0

3 years ago

Read 2 more answers

Solve and reduce to lowest terms:<br> 6 / 11 x 1 / 3

zysi [14]

Answer:

2/11

Step-by-step explanation:

6/11 x 1/3 =

6/33 =

2/11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0

3 years ago

Read 2 more answers

A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales an

iragen [17]

Answer:

$H_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10$

Step-by-step explanation:

We are given the following in the question:

Let $P_{\text{Internet}}$ be the proportion of the internet sales and $P_{\text{Store}}$ be the proportion of the store sale.

Hypothesis:

We have to conduct a hypothesis to check that the Internet sales are more than 10 percent higher than store sales.

Thus, we can design the null and alternative hypothesis as:

$H_{0}: P_{\text{Internet}}-P_{\text{Store}}\leq 0.10\\H_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10$

Alternate Hypothesis:

The alternate hypothesis states that the proportion of the internet sales is greater than the proportion of store sales by 10 percent.

3 0

3 years ago