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3 years ago

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Written as fraction the decimal numbers 0.3 and 0.11 are 3/10 and 11/100 respectively.can see a pattern?use this knowledge to co

nvert 0.0625 into a fraction.then find its simplest form

1 answer:

dezoksy [38]3 years ago

4 0

Answer:

1/16

Step-by-step explanation:

0.0625=625/10000=[25/100]^2=[1/4]^2=1/16

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Simplify the following expressing. Show your work and explain each step. <br><br> 7-(5-3(2+6(2^2)))

Anon25 [30]

Answer:

80

Step-by-step explanation:

7-(5-3(2+6(2^2)))

When a question has multiple signs, the rule of BODMAS is used. That is, Bracket Of Division Multiplication Addition and Subtraction. The question above will therefore be solved in that order.

The first bracket, we have 2^2

That gives 4

Rewriting the question will give

7-(5-3(2+6(4)))

The question in the next bracket will follow

(2+6(4))

In this bracket too, we have the plus sign and the multiplication sign, so the multiplication will first be solved, them addition will follow.

(2+24)

(26)

Rewriting the question again, we have

7-(5-3(26))

And then, we have the last bracket

(5-3(26))

But we have both the Subtraction sign and the Multiplication sign in this bracket also, so the multiplication will first be solved, before the Subtraction.

(5-3(26))

(5-78)

(-73)

And lastly we have

7-(-73)

7+73

80

5 0

3 years ago

How do you graph <br> y=3x and y=-x-8

laila [671]

Answer:

The points for the given two linear equation as

$x_1 , y_1$ = - 2 , - 6

$x_2 , y_2$ = - 2 , 6

The graph so plotted as shown

Step-by-step explanation:

Given as :

The two linear equation are

y = 3 x ........A and

y = - x - 8 .........B

Solving equation A and B

Now, Put The value of y from eq A into eq B

So, 3 x = - x - 8

Or, 3 x + x = - 8

Or, 4 x = - 8

∴ x = $\dfrac{-8}{4}$

I.e x = - 2

Now , Put the value of x into eq A

∵ y = 3 x

∴ y = 3 × (-2)

I.e y = - 6

Again, Put the value of x into eq B

∵ y = - x - 8

∴ y = - 2 - (-8)

I.e y = 6

So, for x = - 2 , y = - 6

And for x = - 2 , y = 6

Hence , The points for the given two linear equation as

$x_1 , y_1$ = - 2 , - 6

$x_2 , y_2$ = - 2 , 6

The graph so plotted as shown . Answer

8 0

3 years ago

The P.E. teacher at Sunshine Middle School wants to know which sports are popular among students in her school. Since it would t

sineoko [7]

28 BECAUSE IT CONTINUES THE PATTERN OF SUBTRACTING 4 FROMTHE AMOUNT PULLED PER GRADE

5 0

3 years ago

Someone please help me on this math problem!

Galina-37 [17]

Look at the picture.

Therefore we have the equation:

10y - 29 = 7y + 19 <em>add 29 to both sides</em>

10y = 7y + 48 <em>subtract 7y from both sides</em>

3y = 48 <em>divide both sides by 3</em>

y = 16

3x + 7 = 5x - 21 <em>subtract 7 from both sides</em>

3x = 5x = -28 <em>subtract 5x from both sides</em>

-2x = -28 <em>divide both sides by (-2)</em>

x = 14

3 0

3 years ago

The amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. t

zhuklara [117]

Answer:

a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.

b) By the Central Limit Theorem, approximately normal.

c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean monthly fee is $142 and the standard deviation is $29.

This means that $\mu = 142, \sigma = 29$

Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.

Sample of 1500(larger than 30).

By the Central Limit Theorem

The mean is $142

The standard deviation is $s = \frac{29}{\sqrt{1500}} = 0.7488$

Part b: what is the shape of the sampling distribution of x hat justify your answer.

By the Central Limit Theorem, approximately normal.

Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?

This is 1 subtracted by the pvalue of Z when X = 143. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{143 - 142}{0.7488}$

$Z = 1.34$

$Z = 1.34$ has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

4 0

3 years ago