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3 years ago

0.12 is a repeating decimal

Mathematics

2 answers:

laila [671]3 years ago

6 0

Answer:

6/50 is simplified to 3/25

Step-by-step explanation:

step 1 Address input parameters & values.

Input parameters & values: The decimal number = 0.12

 parameters & values: The decimal number = 0.12step 2 Write it as a fraction

 parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1

 parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator

 parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100

viva [34]3 years ago

3 0

Answer:

12/99

Step-by-step explanation:

x=0.121212

100x=12.121212

100x-x=12.1212-0.1212

99x=12

x= 12/99

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What are the true and false statements for If two planes intersect, then their intersection is a line. Include converse, inverse

KonstantinChe [14]

Answer and Step-by-step explanation:

Solution:

Statement:

If two planes intersect their intersection is a line.

Suppose that

P =if two planes intersect.

q = then their intersection is line.

¬p = if two planes do not intersect.

¬q = then their intersection is not a line.

Converse:

If two planes intersect their intersection is a line.

P → q

Inverse:

If two planes do not intersect, then their intersection is not a line.

¬p → ¬q

Contrapositive:

If two planes intersection is not a line, then they do not intersect.

¬q → ¬p

3 0

4 years ago

Mrs. Clark wants to plant rose bushes along the front of her house. The length she wants to cover is 13 feet, and she wants to a

larisa86 [58]

Answer:

Mrs Clark spends in total $119 on rose bushes.

Step-by-step explanation:

Here, the total length that needs to be covered = 13 ft

The distance between 2 consecutive rose pant = 2 ft

Cost of planting each bush = $17

Now, if we plant first plant at 1 feet,

Then the second bush will be planted at a distance of 2 ft + 1 ft = 3 ft

Third bush = Second Bush + 2 ft = 3 ft + 2 ft = At 5 ft

Fourth bush = Third Bush + 2 ft = 5 ft + 2 ft = At 7 ft

Fifth bush = Fourth Bush + 2 ft = 7 ft + 2 ft = At 9 ft

Sixth bush = Fifth Bush + 2 ft = 9 ft + 2 ft = At 11 ft

And, lastly Seventh bush = Sixth Bush + 2 ft = 11 ft + 2 ft = At 13 ft

So, as to cover a total of 13 ft, 7 bushes are planted in total which are 2 ft apart from one another.

Now, cost of planing 7 rose bushes = 7 x ( Cost of planting 1 rose bush)

= 7 x ($17) = $119

Hence, Mrs Clark spends in total $119 on rose bushes.

5 0

3 years ago

What do 3/4 + (1/4 - 1/6) equal?

Mnenie [13.5K]

Answer:

Step-by-step explanation:

3/4 + (1/4 - 1/6)

= 3/4 +1/4 - 1/6

The LCM = 12

= {(3×3) + (1×3) - (2×1)}/12

= (9+3-2)/12

= 10/12

= 5/6

4 0

3 years ago

Read 2 more answers

Can someone please help me! <img src="https://tex.z-dn.net/?f=5%5E%7B-2%7D" id="TexFormula1" title="5^{-2}" alt="5^{-2}" ali

ehidna [41]

In order to do this problem, you must know how to do exponents. You take 5 and divide it by -2. Then your answer is 0.04 or 1/25!

Hope this helped. :)

3 0

3 years ago

A journalist reported that the average amount of time that a French person spends eating lunch at a restaurant is 22 minutes. Pe

maw [93]

Answer:

$t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

Where t follows a t distribution with $n_1+n_2 -2$ degrees of freedom and the pooled variance $S^2_p$ is given by this formula:

$\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}$

$t=\frac{19 -22)-(0)}{4.095\sqrt{\frac{1}{8}+\frac{1}{7}}}=-1.416$

Step-by-step explanation:

Data given

American: 21,17,17,20,25,16,20,16 (Sample 1)

French: 24,18,20,28,18,29,17 (Sample 2)

When we have two independent samples from two normal distributions with equal variances we are assuming that

$\sigma^2_1 =\sigma^2_2 =\sigma^2$

And the statistic is given by this formula:

$t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

Where t follows a t distribution with $n_1+n_2 -2$ degrees of freedom and the pooled variance $S^2_p$ is given by this formula:

$S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}$

This last one is an unbiased estimator of the common variance $\sigma^2$

The system of hypothesis on this case are:

Null hypothesis: $\mu_1 = \mu_2$

Alternative hypothesis: $\mu_1 \neq \mu_2$

Or equivalently:

Null hypothesis: $\mu_1 - \mu_2 = 0$

Alternative hypothesis: $\mu_1 -\mu_2 \neq 0$

Our notation on this case :

$n_1 =8$ represent the sample size for group 1

$n_2 =7$ represent the sample size for group 2

$\bar X_1 =19$ represent the sample mean for the group 1

$\bar X_2 =22$ represent the sample mean for the group 2

$s_1=3.117$ represent the sample standard deviation for group 1

$s_2=5.0$ represent the sample standard deviation for group 2

First we can begin finding the pooled variance:

$S^2_p =\frac{(8-1)(3.117)^2 +(7 -1)(5.0)^2}{8 +7 -2}=16.770$

And the deviation would be just the square root of the variance:

$S_p=4.095$

And now we can calculate the statistic:

$t=\frac{19 -22)-(0)}{4.095\sqrt{\frac{1}{8}+\frac{1}{7}}}=-1.416$

Now we can calculate the degrees of freedom given by:

$df=8+7-2=13$

And now we can calculate the p value using the altenative hypothesis:

$p_v =2*P(t_{13}$

So with the p value obtained and using the significance level assumed $\alpha=0.1$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 10% of significance we don't have significant differences between the two means.

3 0

3 years ago