Answer:
5x + 3y = 95
8x + 6y = 170
x = 10 ; y = 15
Step-by-step explanation:
Let :
x = pack of juice boxes
y = pack of water bottles
Pack of juice box = $5
Pack of water bottles = $3
Amount of money spent :
5x + 3y = $95
Number of drinks purchased :
8x + 6y = 170
Using both equations ;
5x + 3y = 95 - - - (1)
8x + 6y = 170 - - - (2)
Multiply (1) by 6 and (2) by 3
30x + 18y = 570
24x + 18y = 510
Subtract :
6x = 60
x = 60 / 6
x = 10
Put x = 10 in (1)
5(10) + 3y = 95
50 + 3y = 95
3y = 95 - 50
3y = 45
y = 45 / 3
y = 15
x = 10 ; y = 15
M= (y2-y1)/(x2-x1)
Plug in the points. (2,3) (9,7)
m= (7-3)/(9-2)
m= 4/7
Slope= 4/7
I hope this helps!
~kaikers
When subtracting a number from a negative (like question one) the subtraction sign will now be an addition sign.
1.
6-(-7)=13
For question 2, its simple subtraction. If you subtract a negative from positive, it'l be a negative.
2.
-3 - 3= -6
3.
-15 - 23 = -38
Now we combine my previous explanations. Subtracting a negative from a negative will be like adding (like in question 4)
4.
-9 - (-5)= -4
5.
5 - (-15)=20
6.
78-(-17)=95
Extra Info:
When adding a number (doesnt matter if positive or negative) to a negative it will turn into subtraction.
Examples:
6+(-9)=-3
-9+(-9)= -18
Answer:
We accept H₀
Step-by-step explanation:
Normal Distribution
size sample n = 69
sample mean 18.94
standard deviation 8.3
Is a one tailed-test to the left we are traying of find out is we have enough evidence to say that the mean is less than 20 min.
1.-Test hypothesis H₀ ⇒ μ₀ = 20
Alternative hypothesis Hₐ ⇒ μ₀ < 20
2.- Critical value
for α = 0.1 we find from z Table
z(c) = - 1.28
3.-We compute z(s)
z(s) = [ ( μ - μ₀ ) / (σ/√n) ⇒ z(s) = [( 18.94 - 20 )*√69)/8.3]
z(s) = ( -1.06)*8.31/8.3
z(s) = - 1.061
4.- We compare
z(c) and z(s) -1.28 > -1.061
Then z(c) > z(s)
z(s) in inside acceptance region so we accept H₀