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2 years ago

convert the mixed numbers to improper fractions. this will get you one step closer to finding the unit rate

1 answer:

8 0

It means for example instead of writing 2 2/5 You would write 12/5
You can find out an improper fraction by simply multiplying the denominator by the front number and adding the answer to you numerator
So, 2x5= 10. 10+2= 12. So 12/5

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Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of

Andrews [41]

Answer:

$t = 31.29$

Step-by-step explanation:

Given

$\begin{array}{ccccccc}{Stick} & {25.8} & {26.9} & {26.2} & {25.3} & {26.7}& {26.1} \ \\ {Liquid} & {16.9} & {17.4} & {16.8} & {16.2} & {17.3}& {16.8} \ \end{array}$

Required

Determine the test statistic

Let the dataset of stick be A and Liquid be B.

We start by calculating the mean of each dataset;

$\bar x =\frac{\sum x}{n}$

n, in both datasets in 6

For A

$\bar x_A =\frac{25.8+26.9+26.2+25.3+26.7+26.1}{6}$

$\bar x_A =\frac{157}{6}$

$\bar x_A =26.17$

For B

$\bar x_B =\frac{16.9+17.4+16.8+16.2+17.3+16.8}{6}$

$\bar x_B =\frac{101.4}{6}$

$\bar x_B =16.9$

Next, calculate the sample standard deviation

This is calculated using:

$s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

For A

$s_A = \sqrt{\frac{\sum(x - \bar x_A)^2}{n-1}}$

$s_A = \sqrt{\frac{(25.8-26.17)^2+(26.9-26.17)^2+(26.2-26.17)^2+(25.3-26.17)^2+(26.7-26.17)^2+(26.1-26.17)^2}{6-1}}$

$s_A = \sqrt{\frac{1.7134}{5}}$

$s_A = \sqrt{0.34268}$

$s_A = 0.5854$

For B

$s_B = \sqrt{\frac{\sum(x - \bar x_B)^2}{n-1}}$

$s_B = \sqrt{\frac{(16.9 - 16.9)^2+(17.4- 16.9)^2+(16.8- 16.9)^2+(16.2- 16.9)^2+(17.3- 16.9)^2+(16.8- 16.9)^2}{6-1}}$

$s_B = \sqrt{\frac{0.92}{5}}$

$s_B = \sqrt{0.184}$

$s_B = 0.4290$

Calculate the pooled variance

$S_p^2 = \frac{(n_A - 1)*s_A^2 + (n_B - 1)*s_B^2}{(n_A+n_B-2)}$

$S_p^2 = \frac{(6 - 1)*0.5854^2 + (6 - 1)*0.4290^2}{(6+6-2)}$

$S_p^2 = \frac{2.6336708}{10}$

$S_p^2 = 0.2634$

Lastly, calculate the test statistic using:

$t = \frac{(\bar x_A - \bar x_B) - (\mu_A - \mu_B)}{\sqrt{S_p^2/n_A +S_p^2/n_B}}$

We set

$\mu_A = \mu_B$

So, we have:

$t = \frac{(\bar x_A - \bar x_B) - (\mu_A - \mu_A)}{\sqrt{S_p^2/n_A +S_p^2/n_B}}$

$t = \frac{(\bar x_A - \bar x_B) }{\sqrt{S_p^2/n_A +S_p^2/n_B}}$

The equation becomes

$t = \frac{(26.17 - 16.9) }{\sqrt{0.2634/6 +0.2634/6}}$

$t = \frac{9.27}{\sqrt{0.0878}}$

$t = \frac{9.27}{0.2963}$

$t = 31.29$

The test statistic is 31.29

3 0

2 years ago

The sale price of a pair of shoes is $28. This sale price is 70% of the original price What was the original price?

Veseljchak [2.6K]

Answer:

original price = $40

Step-by-step explanation:

if 70% ---> $28 then

1% ---> $28/70 = $0.4

then we know original price should be 100%

original price = 100 * 0.4 = $40

basic easy function:

(28/70) * 100

$40

5 0

1 year ago

Read 2 more answers

7 - 3x = 3 ( 3- x ) - 2 Please help & show how you got to the answer

Leokris [45]

Step 1: Simplify both sides of the equation.
7−3x=3(3−x)−2
7+−3x=(3)(3)+(3)(−x)+−2(Distribute)
7+−3x=9+−3x+−2
−3x+7=(−3x)+(9+−2)(Combine Like Terms)
−3x+7=−3x+7
−3x+7=−3x+7
Step 2: Add 3x to both sides.
−3x+7+3x=−3x+7+3x
7=7
Step 3: Subtract 7 from both sides.
7−7=7−7
0=0
So all real numbers

8 0

3 years ago

Read 2 more answers

543x=244x+255x

RUDIKE [14]

Answer:

The answer is x = 0

8 0

3 years ago

Determine the slope of the line that passes through each pair of points. A (0,1) ,B (2,7)

valkas [14]

Your answer should be 3

Use this formula to solve slopes:

m = (y2 – y1) / (x2 – x1)

8 0

2 years ago