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3 years ago

Which graph shows y=2⌊x⌋+1 ?

Mathematics

2 answers:

Airida [17]3 years ago

6 0

I believe it’s the bottom left one, because your y axis is 1 and it’s a positive slope

Hoochie [10]3 years ago

4 0

I believe it's the top right one.

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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

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

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

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

$t = 31.29$

<em>The test statistic is 31.29</em>

3 0

3 years ago

Two boxes are stacked one on top of the other. One box is 6 feet 7 inches tall, and the other is 6 feet 6 inches tall. How high

Orlov [11]

Answer:

7ft 1in.

Step-by-step explanation:

add the two 6 ft together and that gives you 12 ft. then add 7 in + 6 in which gives you 13 in. There are 12 in a foot, so you take 12 away from the 13 giving you 1 in remaining and 1 additional foot to add to the 12.

6 0

3 years ago

PLEASE ANSWER ASAP

vovikov84 [41]

Answer:

15 years

Step-by-step explanation:

subtract 30000 from 36000 to get 6000, then subtract 2000 from 2400, you get 400, then divide 6000 by 400

8 0

3 years ago

What type of number has a decimal that does not repeat or end?

galina1969 [7]

A number that has a decimal that does not repeat or end in an irrational number. The decimal goes on forever, without a pattern. Think of it as it is irrational to keep going on and on and on. Irrational numbers also cannot be put into fractions.
-5 is an integer, it is a whole (positive or negative without a decimal/fraction) number. An integer can be any whole number as long as it is a whole number and does not have a decimal.<span />

4 0

4 years ago

If a man making $22 an hour gets a 20% raise, she will make an additional 1/10 of her salary an hour.

MariettaO [177]

Answer:

True

Step-by-step explanation:

If this is a true or false question it is true.

22 x 20% = 2.2

22 ÷ 10 = 2.2

Hope this helps!

3 0

3 years ago