Answer:
a. p(orange) = 5/14
b. p(green) = 3/14
c. p(red) = 1/7
d. p(brown) = 2/7
e. p(brown or red) = 3/7
Step-by-step explanation:
1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are green and 4 pencils are brown.
p(color) = (number of pencils of that color)/(total number of pencils)
p(color) = (number of pencils of that color)/14
a. If a pencil is picked at random, what is the probability that the pencil
will be orange?
p(orange) = 5/14
b. If a pencil is picked at random, what is the probability that the pencil
will be green?
p(green) = 3/14
c. If a pencil is picked at random, what is the probability that the pencil will be red?
p(red) = 2/14 = 1/7
d. If a pencil is picked at random, what is the probability that the pencil
will be brown?
p(brown) = 4/14 = 2/7
e. If a pencil is picked at random, what is the probability that the pencil
will be brown or red?
brown: 4
red: 2
brown or red: 4 + 2
p(brown or red) = 6/14 = 3/7
To answer this you have to use Pythagoras's theorem: a^2 + b^2 = c^2
Put in the values:
5^2 + 15^2 = c^2
Simplify it:
25 + 225 = c^2
Simplify again:
250 = c^2
Square root both sides:
15.8113883008 = c
So the ramp is:
15.8113883008 feet
Now round the number:
15.8ft
The above is the answer :)
(btw sorry in advance if you've spotted a mistake)
I hope this helps you
3.t^2.square root of 7
<em>To write in standard form, we have to move the decimal point in </em>
<em>3.42</em>
<em> over 3 places to the left since our exponent is 10 3 </em>
<em>This gives us our answer of </em>
<em>0.00342</em>
<em>Hope this helps.</em>
Answer:
Yes the ladder is safe because 59.25 degrees < 75 degrees
Step-by-step explanation:
In the below photos I have included a screenshot of the equation I used, which I got from another user, and my work with an unfinished diagram and completed equations to the side
