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3 years ago

What is the range of the following relation (-1,1) (-2,2) (-3,3) (-4,4) (-5,5)

Mathematics

2 answers:

Vsevolod [243]3 years ago

8 0

The range of the relation is {1, 2, 3, 4, 5}.

I hope this answer was helpful!! :)

I had this same question and got it right :)

qwelly [4]3 years ago

6 0

Range are all the output values or the y-values of a relation.

Range: {1, 2, 3, 4, 5}

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You want to build a wheelchair ramp leading up to your house. Your front door is 2 feet higher than the driveway and you would l

Alenkasestr [34]

Answer: (a) The angle the ramp forms with the driveway, s° = 4.004° (3 d.p)

(b) The driveway has to be, s = 28.57 ft

(c) The ramp will be 28.64 ft long

Step-by-step explanation:

First key thing to know is that the %grade of a ramp = rise/ramp run

%grade of a ramp = 7% = 0.07

(Kindly find attached a diagram to assist with understanding).

Also note that, the ramp run is not the same as the ramp length

(a) the angle, θ, is the angle of slope between the driveway and the ramp,

tan θ = 0.07,

θ = tan⁻¹ 0.07 = 4.004° (3 d.p)

(b) the length of the driveway (s) is the same as the length of the ramp run, so, %grade of a ramp = rise/ramp run

0.07 = 2/s

s = 2/0.07 = 28.57 ft (2 d.p)

(c) the length of the ramp can be found by using Pythagoras' theorem,

L = ramp length = $\sqrt{rise^{2} + ramprun^{2} }$

L = $\sqrt{2^{2} +28.571^{2} }$

L = $\sqrt{820.3041}$

L = 28.64 ft (2 d.p)

4 0

3 years ago

Find the equation of the line through point (10,4) and parallel to 3x+5y=8.

Gnom [1K]

Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10

8 0

3 years ago

You are a screenwriter who is writing a script for an hour-long police drama. You have written 20 1/2 pages for act 1 and 5 1/2

finlep [7]

Answer:

You have written 26 pages in total.

Step-by-step explanation:

I always enjoyed adding fractions. Something about it is so... simple.

The problem is basically asking us to add 20 1/2 and 5 1/2 together.

I would first suggest adding both halves together, to make 1.

That way, we're left with 20 + 5 + 1. That seem easier, doesn't it?

Then we would add 20, 5 and 1 together, to get 26 whole pages.

And that, to an extent, is how I did it.

Hope this helps! :D

5 0

4 years ago

Read 2 more answers

Help me plz help me I need your help it’s an emergency I need your help I’m begging you so much

Sever21 [200]

Answer:

A, D

Step-by-step explanation:

Put x = 6 in equations and resultant is 12.

3 0

3 years ago

Read 2 more answers

The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou

Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2 surgeries in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as $\sigma^2 = mean = 6.2$

hence, standard deviation is given as $\sqrt{6.2} = 2.48998$

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2 surgeries in a given day is

$P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)$

$= \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}$

= 0.002029 + 0.012582+ 0.039006

= 0.053617

= 0.0536

7 0

3 years ago