Answer:
<h3>
10, 12 and 14</h3>
Step-by-step explanation:
x - an integer
2x - an even integer (the first and the smaller of the three)
Consecutive integers increase always by 2
2x+2 - next even integer consecutive to 2x (the middle one)
2x+2+2=2x+4 - the last consecutive even integer (the largest)
2•(2x+2) - twice the middle number
2x+2•(2x+2) - the sum of the smallest number and twice the middle one
2x+4+20 - 20 more than the largest number
2x+2•(2x+2) = 2x+4+20
2x + 4x + 4 = 2x + 24
-2x -2x
4x + 4 = 24
÷2 ÷2
2x + 2 = 12 ← the middle number
-2 -2
2x = 10 ← the smallest number
2x+4 = 10 + 4 = 14
Check: 10+2•12=<u>34</u>; 14+20=<u>34</u>
Answer:option c
Step-by-step explanation:
Answer:
= (x+4) (x-7)
Step-by-step explanation:
x²-3x -28
Product = -28
Sum = -3
numbers = -7 and 4
Thus;
x²- 3x -28 ; replacing -3x with -7x and 4x
x²-7x +4x -28
x(x-7) + 4(x-7)
<u>= (x+4) (x-7) </u>
Answer:
Probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.
Step-by-step explanation:
We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.
<em>Let X = incomes for the industry</em>
So, X ~ N(
)
Now, the z score probability distribution is given by;
Z =
~ N(0,1)
where,
= mean income of firms in the industry = 95 million dollars
= standard deviation = 5 million dollars
So, probability that a randomly selected firm will earn less than 100 million dollars is given by = P(X < 100 million dollars)
P(X < 100) = P(
<
) = P(Z < 1) = 0.8413 {using z table]
Therefore, probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.
The square root of 48 n^9 can be determined by determining first the square root of the coefficient separately, then the variable, If the number is not a perfect square, then we get the nearest square. square root of 48 is 4 square root of 3. square root of 9 is equal to 3. Hence, the answer is 4n3 square root of 3.