Y=64
79+37=116
180-116=64
all angles of a triangle adds up to 180
add the two given angles and subtract that from 180 to find the missing angle
He needs to buy 3.6 spools but I guess that wouldn't be possible in real life so he needs to get 4 and then has some leftover.
12 3/5 / 3 1/2 = 3.6
Answer:
x=2
Step-by-step explanation:
divide -5 to both sides to isolate the x. two negatives make a positive therefore x=2.
i hope this helps :)
The standard deviation for the number of people with the genetic mutation is 3.77
<h3>How to determine the standard deviation?</h3>
The given parameters are:
Sample size, n = 300
Proportion that has the particular genetic mutation, p = 5%
The standard deviation for the number of people with the genetic mutation is calculated as:
Standard deviation = √np(1 - p)
Substitute the known values in the above equation
Standard deviation = √300 * 5% * (1 - 5%)
Evaluate the product
Standard deviation = √14.25
Evaluate the exponent
Standard deviation = 3.77
Hence, the standard deviation for the number of people with the genetic mutation is 3.77
Read more about standard deviation at
brainly.com/question/12402189
#SPJ1
Answer:
They would meet each other at
PM.
Step-by-step explanation:
- Erik took a trip to see his friend Mike who lives 308 miles away.
- He left his place at 10 AM driving at 70 mph.
- In 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph.
As Erik left his house at 10 AM driving at 70 mph and in 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph. It means
Erik left his place at 12:00 PM noon.
so, at 12:00 PM Erik had already traveled:
![2\times 70=140\:\:miles](https://tex.z-dn.net/?f=2%5Ctimes%2070%3D140%5C%3A%5C%3Amiles)
Miles left ![=308-140=168\:\:miles](https://tex.z-dn.net/?f=%3D308-140%3D168%5C%3A%5C%3Amiles)
Let 't' be the time when they meet
so
![70t\:+\:50t\:=168](https://tex.z-dn.net/?f=70t%5C%3A%2B%5C%3A50t%5C%3A%3D168)
![120t=168](https://tex.z-dn.net/?f=120t%3D168)
![\mathrm{Divide\:both\:sides\:by\:}120](https://tex.z-dn.net/?f=%5Cmathrm%7BDivide%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D120)
![\frac{120t}{120}=\frac{168}{120}](https://tex.z-dn.net/?f=%5Cfrac%7B120t%7D%7B120%7D%3D%5Cfrac%7B168%7D%7B120%7D)
![t=\frac{7}{5}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B7%7D%7B5%7D)
so
or
hour and
minutes after
noon
i.e.
![12\:+\:1.4\:=1\:O'clock\:+\:24\:minutes](https://tex.z-dn.net/?f=12%5C%3A%2B%5C%3A1.4%5C%3A%3D1%5C%3AO%27clock%5C%3A%2B%5C%3A24%5C%3Aminutes)
Therefore, they would meet each other at
PM.