3x+4y=12
9x-2y=15
we will use elimination
multiply 3x+4y=12 by -3
-9x-12y=-36
9x-2y=15
_________ add
-14y=-21
÷-14 both sides
y=1.5
find x
3x+4 (1.5)=12
3x+6=12
-6 both sides
3x=6
÷3 both sides
x=2
x=2
y=1.5
Answer:
39
Step-by-step explanation:
Ryan bought 25 packs because 25 is equal to one-fourth.
The positive coterminal angle is 213° and negative coterminal angle is -147° and -507°
<u>Explanation:</u>
Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side
In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical.
Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n = 0, 1, 2, 3, ...
So,
When angle is 573° then the coterminal angle is
573° - 360 (1) = 213°
573° - 360(2) = -147°
573° - 360 (3) = -507°
Therefore, positive coterminal angle is 213° and negative coterminal angle is -147° and -507°
The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.
Data;
- Mean rate = 0.3
- x = 50
- standard deviation = ?
<h3>Poission Rule</h3>
Using poission formula,
Let's substitute the values into the formula.
For 50 calls in 150 hours
For 150 hours = x = 0.3 * 150 = 45
b)
The probability the next call arrives after 2 hours.
c)
The number of calls recieved each day is recorded for 50 consecutive days.
for 50 days;
The mean = 360
The standard deviation is given as
The probability the sum of these 50 number is less than 356 is
Learn more on poission formula here;
brainly.com/question/7879375
