Answer:
Step-by-step explanation:
It would be more obvious if it says z is a standard Normal variable and that the question is related to statistics.
From "Computing Probabilities Using the Cumulative Table" , the probability of z is less than 1.16, P(z<1.16) = 0.8770.
Answer:
solution 1= 40ml
solution 2= 160ml
Step-by-step explanation:
%alcohol= amount of alcohol/total solutionx100
0.52x200=104ml of alcohol present
0.2x L=0.2Lml of alcohol in solution one
0.6 x M=0.6Mml of alcohol in solution two
1st equation
0.2L+0.6M=104ml alcohol
times 10 to get whole
2L+6M=1040ml
2nd
same for this equation
10L+10M=2000ml
10L+10M=2000
2L+6M=1040
elimination method
=20L+20M=4000
-
=20L+60M=10400
-40M=-6400
M=160ml
2L+6 (160)=1040
2L=1040-960
2L=80
L=40ml
Answer: 210
Step-by-step explanation:
55×12=660-500=160+50(down payment)=210
The answer is 60... Draw a rectangle. Now draw a line that splits the bottom left corner in two but also cuts the long side on the top in half. A rectangle has 4 right angles right? So the bisector, or a line that splits something in half, splits the right angle, a 90 degree angle, in half making it a 45 degree angle. Did you notice the bisector made a triangle?
A triangle has angle measures that always add up to 180 degrees. So you know that triangle has two angles: a 45 and 90 degree angle... Add those up and you get 135. 180-135 gives you the other angle: 45 degrees...
So you know that the triangle is a 45-45-90 triangle... The two legs or side lengths that I marked on the triangle with a small line are congruent in a 45-45-90 triangle and since the short leg of the rectangle is equal to 10cm and the split in half long side of the rectangle is also 10 which you double to 20. 20+20+10+10=60.
