The numbers are (-8, 3) or (3, -8).
Step-by-step explanation:
- Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.
⇒ a + b = -5 ⇒ b = -5 - a
⇒ a × b = -24 -------- (1)
- Step 2: Substitute the value of b in eq(1)
⇒ a × (-5 - a) = - 24
⇒ -5a - a² = -24
⇒ a² + 5a - 24 = 0
- Step 3: Solve the quadratic equation for a.
a = (-5 ± √25 - 4 × 1 × -24)/2
= (-5 ± √121)/2
= - 16/2, 6/2 = -8 or 3
- Step 4: For each value of a, find b.
When a = -8, b = -5 +8 = 3
When a = 3, b = -5 - 3 = -8.
Answer:
6 pieces.
Step-by-step explanation:
3/4 divided by 1/8
= 3/4 / 1/8
Invert the 1/8 and multiply:
= 3/4 * 8/1
= 24/4
= 6.
Answer:
The probability that at least one is a boy is 0.525
Step-by-step explanation:
P(Baby being a girl) = 0.475
Now, if A is any arbitrary event . Then:
as we know P(A)+ P(not A) = 1
⇒ P(A not happening) = 1 - P(A event happening)
Also, P( baby not being a girl) = P(baby being a boy)
So, P(baby being a boy) = 1 - P( baby being a girl)
= 1 - 0.475 = 0.525
Hence, the probability that at least one is a boy is 0.525
Answer:
<u>Given</u>:
- R(x) = 59x - 0.3x²
- C(x) = 3x + 14
<u>Find the following</u>:
- P(x) = R(x) - C(x) = 59x - 0.3x² - 3x - 14 = -0.3x² + 56x - 14
- R(80) = 59(80) - 0.3(80²) = 2800
- C(80) = 3(80) + 14 = 254
- P(80) = 2800 - 254 = 2546