Step-by-step explanation:
the value of P(B|A)P(B∣A), rounding to the nearest thousandth
<u>Answer</u>
1st number = x
2nd number = 4x
3rd number = x + 100
sum of three numbers = 592
x + 4x + x + 100 = 592
6x + 100 = 592
6x = 592 - 100
6x = 492
x = 492/6
x = 82
1st number, x = 82
1st number, x = 822nd number, 4x = 328
1st number, x = 822nd number, 4x = 3283rd number, x+100 = 182
check :
82 + 328 + 182 = 592
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<u>Answer:</u> The value of x can be either 5 or 10.
<u>Step-by-step explanation:</u>
We are given:
Total profit, P = $5600
The given equation follows:
⇒ P = 600 + 1500x - 100x²
Putting value of P in above equation, we get:
⇒ -100x² + 1500x + 600 = 5600
⇒ -100x² + 1500x - 5000 = 0
⇒ 100x² - 1500x + 5000 = 0
Solving this equation by middle term split, we get:
⇒ 100(x² - 15x + 50) = 0
⇒ (x² - 10x - 5x + 50) = 0
⇒ x(x - 10) - 5(x -10) = 0
⇒ (x - 10)(x - 5) = 0
⇒ x = 10, 5
Hence, the value of x can be either 5 or 10.
Answer:
4π
Step-by-step explanation:
We are asked to calculate the area of a circle whose diameter is equal to 4, we know that the area of the circle is given by the following equation:
A = π * (r ^ 2)
where r is the radius of the circle, we know that the radius of the circle is half the diameter, therefore:
r = d / 2 = 4/2
r = 2
replacing, we are left with:
A = π * (2 ^ 2)
A = 4π
Which means that the area of the circle is 4π
Answer:
19z/6
Step-by-step explanation: