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irina1246 [14]
3 years ago
7

4/6 into a decimal then round to nearest hundredth full explanation ​

Mathematics
Rachy
3 years ago
1 whole 6 tenths and 4 hundreds
2 answers:
Novay_Z [31]3 years ago
4 0

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>0</u><u>.</u><u>6</u><u>6</u><u>6</u><u>…</u>

Step-by-step explanation:

\frac{4}{6}

divide by 2:

=  \frac{4 \div 2}{6 \div 2}  \\  \\  =  \frac{2}{3}

{ \sf{0.6 \bar 6}} \:  \: { \sf{ \{calculator \}}}

NNADVOKAT [17]3 years ago
4 0

Answer:

0.67

Step-by-step explanation:

4/6 = 0.6<u>6</u>666667

The 6 in the thousandth place is greater than 5, therefore we add 1 to the 6 that's in the hundredth place.

I hope this helps :)

You might be interested in
The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the f
Verizon [17]

Answer:

CI(95%): [205,5;400.8]dolars

Step-by-step explanation:

Hello!

So you need to construct a confidence interval for the average family dental expenses (μ) using the sample given in the problem. To estimate it you need to first choose a statistic. For this small sample, considering that the variable has a normal distribution (I made a quick Shapiro Wilks test, with p-value 0.3234, you can assume normality) the best statistic to use is the Student's t-test.

t= [x(bar)-μ]/S/√n ≈ t₍ₙ₋₁₎

The formula for the confidence interval to estimate the mean is

x(bar)±t_{n-1; 1-\alpha/2}* (S/√n)

<u>The critical value is from a t-distribution with 11 degrees of freedom </u>

±t_{n-1; 1-\alpha/2} = t_{11; 0.975} = 2.201

<em> >remember since it's two-tailed, to get the right critical value you have to divide α by 2. So in the text, you received a confidence level of 1-α=0.95 so α=0.05 then α/2=0.025 and 1-α/2=0.975</em>

To construct the interval, you need to first calculate the sample mean and the standard derivation.

<u>Sample</u>

115; 370; 250; 593; 540; 225; 117; 425; 318; 182; 275; 228

n= 12

∑xi = 3638 ∑xi² = 1362670

<u>Sample mean</u>

x(bar): (∑xi)/n = 3638/12 = 303.17 dolars

<u>Standard derivation</u>

S²= 1/n-1*[∑xi²- (∑xi)²/n] = 1/11 * [1362670-((3638)²/12)] = 23614.47 dolars²

S= 153.67 dolars

<u>Confidence interval (95%)</u>

303.17± 2.201* (153.67/√12)

[205,5;400.8]dolars

I hope you have a SUPER day!

3 0
4 years ago
I need help plsssssss​
Svetllana [295]

4)Area :32cm

5)18cm

6) 49cm

4 0
3 years ago
Can somebody solve 26&amp;26 for me l
Romashka-Z-Leto [24]

Answer:

26) x = 4

Step-by-step explanation:

26)

20x + 5 + 24x - 1 = 180

20x + 24x = 180 + 1 - 5

44x = 176

x = 176/44

x = 4

5 0
3 years ago
Please help me understand how to solve equations like these, I don’t understand them:
algol [13]

Answer:

  • subtract the unwanted b term
  • divide by the coefficient of b
  • b = 60

Step-by-step explanation:

The numbers 4/5 and 9/10 are fractions. They multiply the variable 'b' in each case.

<u>How to solve an equation like this</u>

An example of an equation like this without fractions is ...

  6 + 3b = 8b

You solve this sort of equation by rearranging the equation so the terms having 'b' in them are all on one side of the equal sign. You want all of the terms not containing 'b' to be on the other side of the equal sign.

Here, the terms are mixed on the left, but the right has only a 'b' term. So, if we can remove the 'b' term from the left side, we will have reached the goal

In the example equation, we do that by adding -3b to both sides of the equation.

  6 +3b -3b = 8b -3b

Simplifying, we have ...

  6 = 5b

Now, we divide by the coefficient of 'b', which is 5. We divide both sides of the equation by that:

  6/5 = (5b)/5

  6/5 = b . . . . after simplifying

_____

<u>How to solve this equation</u>

The given equation is solved exactly the same way. We add the opposite of the 'b' term that we don't want (which is 4/5b):

  6 + 4/5b -4/5b = 9/10b -4/5b

Simplifying, this is ...

  6 = (9/10 -4/5)b = (9/10 -8/10)b

  6 = 1/10b

We can make the coefficient of 'b' be 1 by multiplying it by 10. We have to do that to both sides of the equation:

  (10)(6) = (10)(1/10)b

  <u>60 = b</u> . . . . . the solution

_____

<em>Comment on equations in general</em>

The one absolute rule in Algebra is that the equal sign must remain valid. You keep that commandment by observing the properties of equality. Essentially, you can do anything you like to one side of an equation, as long as you do exactly the same thing to the other side.

Here, when we say "subtract 4/5b", the way we keep this commandment is that we do it to both sides of the equation. The same is true for "multiply by 10". This is emphasized by the bold highlighting in the solution shown above.

<em>Comment on arithmetic</em>

In solving this equation, we did the arithmetic using the given fractions. Often, for an equation like this, you will be told the first step is to "eliminate fractions". You can do that here by multiplying the equation by 10:

  10(6 +4/5b) = 10(9/10b)

  60 +8b = 9b

Now, the unwanted term is 8b, so subtracting that (from both sides) gives ...

  60 = b

This is essentially a "2-step" equation, either way you do it.

It is helpful if you are comfortable doing arithmetic with fractions, mixed numbers, decimals, percentages, and numbers in scientific notation, as well as integers.

4 0
3 years ago
Find the probability choosing 7 numbers that match 7 randomly selected balls numbered 1-34.
Anettt [7]

Answer:72

Step-by-step explanation:

7 0
3 years ago
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