Answer:
The answer is 60.11
Step-by-step explanation:
An adult person receives 425 pieces of mail each year with a standard deviation of 50.
Now, we have the following details :
Mean of sample = 425
sigma = 50
Standard error = 
=
= 60.11
Answer:
Distance between mall and library is 6.32 miles.
Step-by-step explanation:
Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).
Since, distance between two points
and
is given by,
Distance = 
By this formula,
Distance between (2, 4) and (8, 4) will be,
Distance = 
= 
= 
= 6.32 miles
Answer:
133.33 years
Step-by-step explanation:
Given that:
Principal = $500
Interest rate (r) = 1.5% = 0.015
Triple amount of principal = $500 * 3 = $1500 = final amount (A)
Number of years (t) =?
Using the relation :
A = P(1 + rt)
1500 = 500(1 + 0.015t)
1500 / 500 = 1 + 0.015t
3 = 1 + 0.015t
3 - 1= 0.015t
2 = 0.015t
2 / 0.015 = 0.015t / 0.015
133.333 = t
133.33 years
Answer:
1. (3x - 2)(x + 5).
2. 2(x + 4)(x - 2).
3. (2x - 9)(2x + 9).
Step-by-step explanation:
1. f(x) = 3x^2 +13x -10
Try to factor by the ac method:
3 * -10 = -30
We need 2 numbers whose product is -30 and whose sum is + 13.
They are -2 and +15, so we write:
3x^2 + 15x - 2x - 10 Factor by grouping:
= 3x(x + 5) - 2(x + 5)
= (3x - 2)(x + 5).
2. f(x) = 2x^2+4x-16
= 2(x^2 + 2x - 8)
Now we need 2 numbers whose product is -8 and whose sum is + 2.
They are +4 and -2. So:
= 2(x + 4)(x - 2).
3. 4x^2 - 81 This is the difference of 2 squares so the factors are:
(2x - 9)(2x + 9).
Answer:
15 burgers!
Step-by-step explanation:
The trick is to get rid of the decimal point from the number we are dividing by.
How? We can "shift the decimal point" out of the way by multiplying by 10, as many times as we need to.
But we must do the same thing to both numbers in the division.
Example: 15 divided by 0.2
Let us multiply the 0.2 by 10, which shifts the decimal point out of the way:
0.2 × 10 = 2
But we must also do it to the 15:
15 × 10 = 150
So 15 ÷ 0.2 has become 150 ÷ 2 (they are both 10 times larger):
150 ÷ 2 = 75
And so the answer is:
15 ÷ 0.2 = 75