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2 years ago

6

At the 2007 Math Olympics, Team Canada won 17 out of a possible 100 medals. Which one of the following is closest to the fractio

n of medals that they won? 1/4, 1/5, 1/6, 1/7, or 1/8

1 answer:

irinina [24]2 years ago

3 0

Answer:1/8

Step-by-step explanation:

You might be interested in

Graph the linear function.<br> f(x)=x+2<br> HELP PLEASE

Serggg [28]

Hey there!

Graphing this will be similar to graphing slope intercept equations (y=mx+b).

As you can see, we have a slope of 1 and a y-intercept of two when you look at the equation and match it up with the slope intercept form Let's look at each answer option and see which one fits.

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GRAPH A

Graph A does have a y-intercept of two. This means that the line crosses the y-axis at two units up from the origin. However, it has a negative slope because it is going downwards rather than upwards. The slope of our function is positive, so Graph A does not match.

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GRAPH B

Graph B does have a positive slope of one (a slope of one means that it goes diagonally across every small square on the grid), but it's y-intercept is -2 because it hits the y-axis at 2 down from the origin. Therefore, Graph B does not match this function.

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GRAPH C

Graph C both goes downward (negative slope) and it hits the y-axis at -2 instead of 2 (wrong y-intercept). Therefore, Graph C does not match the function.

--------------------------------------------------------------------------------------------

GRAPH D

Graph D has a y-intercept of 2 and it has a positive slope of one! Therefore, Graph D does match this function.

--------------------------------------------------------------------------------------------

The correct answer is Graph D.

I hope that this helps! Have a wonderful day!

7 0

3 years ago

The perimeter of a church window is 60 inches. If the window is in the shape of a regular pentagon, what is the length of each s

iren2701 [21]

<span>The length of each side of pentagonal church window with the perimeter of 60 inches is C. 12 inches. The perimeter (P) of a pentagon is the sum of its side lengths (s). Since pentagon has 5 sides, the perimeter of the pentagon is: P = 5s. If we know that the perimeter is 60 inches, the side length will be: 60 in = 5s. s = 60 in / 5. s = 12 in. The length of the side of the window is 12 inches.</span><span />

4 0

3 years ago

Read 2 more answers

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

2 years ago

If you graph the line x=-6 what type of slope would it have?

Hitman42 [59]

Answer:

undefined

Step-by-step explanation:

x=-6 is a vertical line at x=-6.

Any vertical line has an undefined slope.

Let's pick two points on x=-6– (-6,1) and (-6,0)

(1-0)/(-6-(-6))=1/-6+6=1/0

Because you cannot divide by 0, a vetical line has an undefined slope.

6 0

2 years ago

Use the probability distribution table to answer the question.

dalvyx [7]

Answer:

0.88

Step-by-step explanation:

P(x≥2) = P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6)

P(x≥2) = 0.21 + 0.35 + 0.21 + 0.06 + 0.05

P(x≥2) = 0.88

Or, you can calculate it as:

P(x≥2) = 1 - P(x=1) - P(x=0)

P(x≥2) = 1 - 0.09 - 0.03

P(x≥2) = 0.88

7 0

3 years ago