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4 years ago

Find the equivalent fraction of 1/3 equals

Mathematics

2 answers:

dybincka [34]4 years ago

8 0

1/3 can equal:

2/6

3/9

4/12

...

The top can be any number, you just have to multiply the bottom by that number also.

1/3 in decimal form is .333333333333..... if you were wondering.

kolezko [41]4 years ago

6 0

Equivalent Fractions for 1/3:

1/3, 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30,

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A student carried out an experiment to determine the amount of vitamin C in a tablet sample. He performed 5 trials to produce th

ivolga24 [154]

Answer:

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

P-value = 0.166.

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(490+502+505+495+492)\\\\\\M=\dfrac{2484}{5}\\\\\\M=496.8\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}((490-496.8)^2+(502-496.8)^2+(505-496.8)^2+(495-496.8)^2+(492-496.8)^2)}\\\\\\s=\sqrt{\dfrac{166.8}{4}}\\\\\\s=\sqrt{41.7}=6.5\\\\\\$

Then, we can perform the hypothesis t-test for the mean.

The claim is that the amount of vitamin C in a tablet sample is different from 500 mg.

Then, the null and alternative hypothesis are:

$H_0: \mu=500\\\\H_a:\mu< 500$

The significance level is 0.05.

The sample has a size n=5.

The sample mean is M=496.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.5.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6.5}{\sqrt{5}}=2.907$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{496.8-500}{2.907}=\dfrac{-3.2}{2.907}=-1.1$

The degrees of freedom for this sample size are:

$df=n-1=5-1=4$

This test is a left-tailed test, with 4 degrees of freedom and t=-1.1, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=P(t$

As the P-value (0.166) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

4 0

3 years ago

MARK AS BRAINLIEST!

Shkiper50 [21]

You would need to multiply the monthly cost, $14, by the number of months and then that would be added to the cost to join, $25

For 6 months it would cost 14 x 6 = 84 + 25 = $109

The answer would be C.

8 0

3 years ago

Read 2 more answers

Read the following description of a

Annette [7]

Answer:

$\sf a = \boxed{\bf 1} \ n+ \boxed{\bf 3}$

Explanation:

$\sf \underline{rate} \ = \ \sf \dfrac{y_2-y_1}{x_2-x_1} \ = \ \dfrac{rise}{run} \ = \ \dfrac{11-10}{8-7} \ = \ \underline{1}$

<u>Equation</u>:

$\Rightarrow \sf a - a1 = m(n - n1)$

$\Rightarrow \sf a - 10 = 1(n -7)$

$\Rightarrow \sf a = n - 7 + 10$

$\Rightarrow \sf a = n + 3$

3 0

2 years ago

A snow making machine priced at $1800 is on sale for 25% off. The sales tax rate is 6.25%. What is the sale price including tax?

morpeh [17]

Answer:

1434.375

Step-by-step explanation:

If you multiply 1,800 by 25% you get 1,350

you take 1,350 and add 6.25% because the 6.25% is the tax.

Then you will get 1434.37 or 1434.40

4 0

3 years ago

What is the solution (x, y) to the system of equations shown?

iren2701 [21]

Answer:

Step-by-step explanation:

Glad to help

If you will have any questions about the way I solved it,

don't hesitate to ask

8 0

3 years ago