Answer:
Hello! answer: 65
Step-by-step explanation:
This is a supplementary angle meaning it will add up to 180 degrees therefore... 180 - 115 = 65 therefore x = 65 hope that helps!
Answer:15x
Step-by-step explanation:you add 12 + 3 which equals 15 and then you just carry the x over
<u>Answer-</u>

<u>Solution-</u>
The dimensions of the cuboid is, 80×80×140 cm
So, its volume will be
cm³
The dimensions of the cylinder is, radius = 40cm, height = 70cm
So, its volume will be
cm³
Total volume,

As we know,




Answer:
see the attachment
Step-by-step explanation:
We assume that the question is interested in the probability that a randomly chosen class is a Friday class with a lab experiment (2/15). That is somewhat different from the probability that a lab experiment is conducted on a Friday (2/3).
Based on our assumption, we want to create a simulation that includes a 1/5 chance of the day being a Friday, along with a 2/3 chance that the class has a lab experiment on whatever day it is.
That simulation can consist of choosing 1 of 5 differently-colored marbles, and rolling a 6-sided die with 2/3 of the numbers being designated as representing a lab-experiment day. (The marble must be replaced and the marbles stirred for the next trial.) For our purpose, we can designate the yellow marble as "Friday", and numbers greater than 2 as "lab-experiment".
The simulation of 70 different choices of a random class is shown in the attachment.
_____
<em>Comment on the question</em>
IMO, the use of <em>70 trials</em> is coincidentally the same number as the first <em>70 days</em> of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you cannot say, "the probability of a Friday is 16/70." You need to be very careful to properly state the question you're trying to answer.
Answer:
They live 285 miles apart
Step-by-step explanation:
Let the total distance be x miles
Sean is driving to visit his friend in another state. In the first hour he travels 1/5 of the total distance. This means that he drove x/5 in the first hour. In the second hour he travels 34 miles. That means
Total distance driven in the first and second hour is
(x/5 + 34)miles
He still has 194 miles more to go.
Therefore,
The total distance is the sum of the distance travelled in the first and second hour + the remaining distance.
x = x/5 + 34 + 194
x = x/5 + 228
Cross multiplying
5x = x + 1140
4x = 1140
x = 1140/4 = 285 miles