Answer:
the answer is A.
Step-by-step explanation:
(
×
)÷
2×9= 18
6+6= 12
÷
= 
Answer:
E(x)=0.15
V(x)=0.3075
S(x)=0.5545
Step-by-step explanation:
The mean of a discrete variable is calculated as:
where 
are the values that the variable can take and 
are their respective probabilities.
So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:
Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.
At the same way, the variance V(x) is calculated as:
Where 
So, the variance V(x) is equal to:
Finally, the standard deviation is calculated as:
Answer:
5x-3=3x+5
5x-3x=5+3
2x=8
x=8/2
x=4
Therefore,
Value of 2x-8
Substitute the value of x
2(4)-8
8-8=0
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Answer:
11.25 kg
Explanation:
1 bag of marbles → 45 grams
250 bags → (45 *250) = 11250 grams
Conversion:
1 kg ↔ 1000 grams
So,
11250 g → (11250/1000) kg = 11.25 kg
Answer:
To determine the compound interest of a certain investment, the following formula should be used:
X = Initial value (1 + interest rate / number of compositions) ^ years x number of compositions
Thus, in the assumption of an investment of $ 1,000 with interest compounded daily at 3% for 8 years, the formula would be the following:
X = 1,000 x (1 + 3/365) ^ (8x365)
X = 1,271.24
On the other hand, in the case of an investment of $ 1,000 with compound interest every 6 months at 3% for 8 years, the formula would apply as follows:
X = 1,000 x (1 + 3/2) ^ (8x2)
X = 1,268.99
