Answer: 2.5%
Step-by-step explanation:
Mean score = 65
Standard deviation = 5
Score (x) = >75
Z-score = [(score - mean) ÷ standard deviation]
Z - score = [(75 - 65) ÷ 5]
Z - score = 10 ÷ 5 = 2
P(score higher than 75) = 100 - 95 = 5/2 = 2.5%
Answer:
24 gallons
Step-by-step explanation:
4 quarts in a gallon. 96/4 = 24
I hope this helps!
Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.
We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II
We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)
We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III
Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml
Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml
Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.
Answer:
The complex number
belongs to the third quadrant of the complex plane.
Step-by-step explanation:
Let be
. In the complex plane, if
(real component) and
(imaginary component), the number belongs to the third quadrant of the complex plane. The complex number
belongs to the third quadrant of the complex plane.
Answer:
0.44
Step-by-step explanation:
The total numbers drawn = 300
Out those 146 are odd and 154 are even.
The number 8 was drawn = 22 times
So, the number of times an even number other than 8 = 154 -22 = 132
The experimental probability = The number of favorable outcomes ÷ The number of possible outcomes.
The experimental probability of an even number other than 8 being generated = 
Simplify the above fraction to decimal, we get
= 0.44
Therefore, the answer is 0.44