Answer:
6 mg of the metal needs to be added.
Step-by-step explanation:
Let the amount (in mg) of metal that needs to be added by y.
Therefore, the amount of silver in the above metal is 0.04y.
Prior to mixing, 11 mg of a metal contained 38% of silver (Given).
Therefore, the amount of silver before= 
= 4.18 mg
The total amount of silver after mixing, 4.18 + 0.04y mg
The total amount of metal after mixing, 11 + y mg
New percentage of silver = 26% .
Thus, 
y=6 mg
Therefore, the amount of metal that needs to be added is 6 mg.
Answer:
h = 16
Step-by-step explanation:
to solve this equation
we are going to take cognizance of the positive and negative sign as any misinterpretation of the sign might influence our answer wrongly. Note this
negative × negative = positive
positive × negative = negative
negative × positive = negative
positive × positive = positive
so, from the question 19 - h - h = -13
19 - h - h = -13
19 -2h = -13
collect the like terms
19 + 13 = 2h
32 = 2h
divide both sides by the coefficient of h which is 2
32/2 = 2h/2
16 = h
therefore h = 16
Answer:
Step-by-step explanation:
Multiply base area * height
= 16 * 8 * 4 = 512 cm^3
Answer: a) 0.996, b) 0.253, c) 0.02.
Step-by-step explanation:
Since we have given that
Probability of success = Probability of the math majors belong to ethnic minorities = 33% = 0.33 =p
Probability of failure = q = 1-0.33 = 0.67
Number of students selected = 7
a) No more than 5 belong to an ethnic minority
So, using "binomial distribution", we get that
b. Exactly three of them belong to an ethnic minority
So, it becomes,
c. None of them belong to an ethnic minority
Hence, a) 0.996, b) 0.253, c) 0.02.
