We want to solve the inequalities
x < 2
y ≤ 4x + 1
<span>Graph </span>the lines:
x = 2
y = 4x +1
The solution to the system of inequalities is the shaded region shown in the graph below.
Test the given points to see whether they fall within the solution region.
Point Pass/Fail
-------- --------------
(5,6) Fail
(5,-2) Fail
(-3,-15) Pass
(1,11) Fail
Answer: (=3, -15)
Answer:
6- Part A: 
Part B: 
Solution of the system: 
Step-by-step explanation:
<u>Part A:</u>
In words, the equation is formed like this:
Total kg of Arabica + Total kg of Robusta = Total kg of coffee
Now, the total of each yield is calculated by the product of kg/hectare and number of hectares. Thus, the equation is:
<u>Part B:</u>
In words:
Arabica's worth + Robusta's worth = plantation worth
Each yield's worth is given by the product of the price per kg and the corresponding production. So, the equation is:
Answer:
0.15866 is the probability of the average fracture strength of selected 100 pieces of glasses that of exceed 14.3.
Step-by-step explanation:
Given that, the strength of a tempered(x) a glass has average 14.1 and has standard deviation 2.
, 
n=number of selected pieces= 100.
The probability that the average fracture strength of 100 pieces of this glass exceed 14.3 is
= 1 - 0.84134
=0.15866.
Answer:
Step-by-step explanation:
<u><em>the mean in period</em></u> 1 :
(2.3+2.1+2.2+2.2+2.2+2.1+2.4+2.5+2.2+2.0+1.9+1.9+2.1+2.2+2.3)÷15=21.733...
<u><em>the mean in period</em></u> 2 :
(2.3+2.1+3.3+1.5+3.6+1.6+3.0+1.1+4.7+2.1+2.4+1.9+2.8+0.5+2.3)÷15=23.466...
Since 23.466 > 21.733 then “The mean in period 2 is higher than the mean in period 1”.
Answer: 52
Step-by-step explanation:
a^2+b^2=c^2
x is the hypotenuse (c). You can find the hypotenuse by finding the opposite of the right angle
48^2+20^2=2304+400=2704
√2704=52
x=52
