Answer:
298565
Step-by-step explanation:
Given problem,
1415 × 211
∵ Direct multiplication is quite tough so we can split the number into smaller one for making the multiplication easier,
= (1400 + 15) × (210 + 1)
By using distributive property,
= 1400 × (210 + 1) + 15(210 + 1)
Again by distributive property,
= 1400 × 210 + 1400 + 15 × 210 + 15
Simplifying,
= 294000 + 1400 + 3150 + 15
= 298565
Hence, 1415 × 211 = 298565
Answer: The proportion of employees who either have MBAs or are managers are 0.58.
Step-by-step explanation:
Since we have given that
Probability of employees having managerial positions = 67%
Probability of employees having MBA degrees = 58%
Probability of managers having MBA degrees = 67%
So, using probability formulas, we get that

Hence, the proportion of employees who either have MBAs or are managers are 0.58.
The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
According to the given question.
We have an equation
2x + 2/y = 4w + 2
Since, we have to find the value of x for the given equation
2x + 2/y = 4w + 2
Thereofore,
2x + 2/y = 4w + 2
⇒ 2(x + 1)/y = 2(2w + 1) (taking 2 common from both the sides)
⇒ (x + 1)/y = 2w + 1
⇒ (x + 1) = y(2w + 1) (multiplying both the sides by y)
⇒ x + 1 = 2yw + y
⇒ x = 2yw + y - 1 ( subtracting 1 both the sides)
Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
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Answer: The answer is 4,500.
Explanation: 450 x 10 = 4,500.