All categories

3 years ago

What is equivalent to 9/18

Mathematics

2 answers:

shutvik [7]3 years ago

8 0

3/6 is the most simple form

Tresset [83]3 years ago

6 0

9/18 simplifies to 1/2, so you can make equivalent ratios by multiplying the numerator and the denominator by the same factor.

so for instance, 3/6 and 4/8 are equivalent.

You might be interested in

A polling company conducted a survey asking 40 fourth year students from Ohio and 33 fourth-year students from Pennsylvania abou

miv72 [106K]

Answer:

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of variances.

Ohio had an average of 52, standard deviation of 7.22, sample of 40.

This means that $\mu_O = 52, s_O = \frac{7.22}{\sqrt{40}} = 1.1416$

Pennsylvania had an average of 33, standard deviation of 10.11, sample of 33.

This means that $\mu_P = 33, s_P = \frac{10.11}{\sqrt{33}} = 1.76$

Distribution of the difference:

$\mu = \mu_O - \mu_P = 52 - 33 = 19$

$s = \sqrt{s_O^2 + s_P^2} = \sqrt{1.1416^2 + 1.76^2} = 2.1$

Confidence interval:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.999}{2} = 0.0005$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.0005 = 0.9995$ , so Z = 3.29.

Now, find the margin of error M as such

$M = zs$

$M = 3.29*2.1 = 6.91$

The lower end of the interval is the sample mean subtracted by M. So it is 19 - 6.91 = 12.09 hours per week

The upper end of the interval is the sample mean added to M. So it is 19 + 6.91 = 25.91 hours per week.

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

8 0

3 years ago

In what time will N400 amount to N512 if the simple interest is calculated at 14% per annum?

patriot [66]

Answer:

64/7 years

9.143 years

Step-by-step explanation:

$Simple Interest = \\ \frac{Principal \times Rate \times Time}{100}$

$Time = \frac{simple \: interest \times 100}{Principal \times Rate}$

$Principal = 400 \\ Rate = 14 \\ Time = \\ simple \: interest = 512$

Input the values

$Time = \frac{512 \times 100}{400 \times 14} \\ Time = \frac{51200}{5600} \\$

$Time = \frac{64}{7} \\ Time = 9.142 \: years \\ best \: answer \: = \frac{64}{7} years$

8 0

3 years ago

Convert the following from decimals to percents

Harlamova29_29 [7]

All you do is multiply the decimal by 100.

A. 132%

B. 1%

C. 12%

D. 28%

3 0

3 years ago

If the mean of the data set is 3 chicken nuggets, find the missing number of chicken nuggets

jeka57 [31]

<span>The mean, or average, of a data set is calculated by summing all of the numbers in the data set and dividing that sum by the number of data points in the set. If the mean of a data set is known, then that mean contains information on the missing number. Multiplying the mean by the number of data points gives the "true" sum of all the data points, including the missing number. The sum of the known data points is less than this true sum, because the sum of the known points does not include the value of the missing number. The difference between the sum of the known data points and the true sum is exactly the value of the missing number. However, if multiple data points are missing, this method does not work.</span>

7 0

4 years ago

Can some one help me wit this

Irina18 [472]

The answer is B, or y - 6 = 3/4 (x - 4). To put (-4, 6); m = 3/4 in point-slope form, you first start with the point-slope form equation which is y - k = m (x - h). The ordered pair that it wants you to put in is (-4, 6). To figure out where the ordered pair goes, you replace the variables (h, k) with (-4, 6). The h will always be the point on the
x-axis and the k will always will be the point on the y-axis. Putting these together, you now get y - 6 = m (x - 4). As the same in slope-intercept form, or y=mx+b form, the slope in this equation is m. In this equation, m = 3/4. So, the equation in point-slope form is y - 6 = 3/4 (x - 4).

4 0

3 years ago