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3 years ago

How big is the ice hockey goal?

Mathematics

1 answer:

kherson [118]3 years ago

6 0

The entire goal is considered an inbounds area of the playing surface, and it is legal to play the puck behind the goal. Under NHL rules, the opening of the goal is 72 inches (180 cm) wide by 48 inches (120 cm) tall, and the footprint of the goal is 40 inches (100 cm) deep.

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Find the equation of the line that is parallel to x=5y-8 and pass through (6, -5) in slope intercept form

DochEvi [55]

Answer:

y=1/5x-31/5 (or y=0.2x-6.2 in decimals)

Step-by-step explanation:

x=5y-8 (original equation)

x+8=5y (Addition Property of Equality)

1/5x+8/5=y (Division Property of Equality, slope of original equation is 1/5)

y-y1=m(x-x1) (point-slope formula)

y-(-5))=1/5(x-(6)) (plug in the slope that was found earlier and the point given in the question)

y+5=1/5(x-6)

y+5=1/5x-6/5 (Distributive Property of Multiplication) Note: 5 = 25/5

y=1/5x-31/5 (Subtraction Property of Equality, and there's your answer)

y=0.2x-6.2 (This is the same answer, but written with decimals)

5 0

3 years ago

Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random

Katen [24]

Answer:

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

Step-by-step explanation:

Given

$n = 200$

$x_1 = 34$ -- City C

$x_2 = 54$ --- City K

Required

Determine the 90% confidence interval

This is calculated using:

$CI = \bar x \± z\frac{\sigma}{\sqrt n}$

Calculating $\bar x$

$\bar x = \bar x_1 - \bar x_2$

$\bar x = \frac{x_1}{n} - \frac{x_2}{n}$

$\bar x = \frac{34}{200} - \frac{54}{200}$

$\bar x = 0.17 - 0.27$

For a 90% confidence level, the z-score is 1.65. So:

$z = 1.65$

Calculating the standard deviation $\sigma$

$\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }$

So:

$\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }$

$\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}$

So:

$CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}$

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

7 0

2 years ago

42 forty 2 over negitive 7 ___ -7

Leokris [45]

What is the question ????
i do not understand what the question is

8 0

3 years ago

Read 2 more answers

2x^2+3x+5=0 what are all the complex solutions? please i need help!!!

vesna_86 [32]

You'll want to use the quadratic formula:

-b (+/-) sqrt(b^2 - 4ac), all divided by 2a.

Under the square root you'll get:

-11

remember that the square root of -1 is i.

sqrt(-11) can be factored to sqrt(11*-1) and then sqrt(-1) * sqrt(11)

which becomes i*sqrt(11)

so your complex solution is:

-3 (+/-) (i*sqrt(11)), all over 4

4 0

3 years ago

Read 2 more answers

Someone please help me!!!

Annette [7]

Answer:

<2 = 75°

<3 = 75°

Step-by-step explanation:

<2 = <6

2x+15 = 45+x

or, 2x-x = 45-15

or, x = 30

so, <2 = 30×2+15 = 75

<6 = 45+30 = 75

Answered by GAUTHMATH

8 0

3 years ago