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pochemuha
3 years ago
14

Factorise 9a^2 - 6ab + 12ac - 8bc

Mathematics
1 answer:
Lady_Fox [76]3 years ago
6 0
9a^2-6ab+12ac-8bc
=3a(3a-2b)+4c(3a-2b)
=(3a+4c)(3a-2b)
There you go. Have fun!
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The Wilson family had 5 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Wi
Dafna11 [192]

Answer:

0.813

0.500

Step-by-step explanation:

Use binomial probability.

P = nCr p^r q^(n−r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this problem, n = 5, p = 0.5, and q = 0.5.

"At least 2 girls" means r = 2, 3, 4, or 5.

Or, we can use the complement.

P(at least 2 girls) = 1 − P(at most 1 girl)

P(at least 2 girls) = 1 − P(r=0 or r=1)

P(at least 2 girls) = 1 − ₅C₁ (0.5)¹ (0.5)⁵⁻¹ − ₅C₀ (0.5)⁰ (0.5)⁵⁻⁰

P(at least 2 girls) = 1 − 5 (0.5) (0.5)⁴ − 1 (1) (0.5)⁵

P(at least 2 girls) = 1 − 6 (0.5)⁵

P(at least 2 girls) ≈ 0.813

"At most 2 girls" means r = 0, 1, or 2.

P(at most 2 girls) = P(r=0, r=1, or r=2)

P(at most 2 girls) = ₅C₀ (0.5)⁰ (0.5)⁵⁻⁰ + ₅C₁ (0.5)¹ (0.5)⁵⁻¹ + ₅C₂ (0.5)² (0.5)⁵⁻²

P(at most 2 girls) = 1 (1) (0.5)⁵ + 5 (0.5) (0.5)⁴ + 10 (0.5)² (0.5)³

P(at most 2 girls) = 16 (0.5)⁵

P(at most 2 girls) = 0.500

4 0
3 years ago
A scientest is studying a new super bacteria that is threatening to cause an outbreak. On the first day, there were 5 organisms
ElenaW [278]

Answer:

C. 125

Step-by-step explanation:

Given:

Bacteria on day 1 = 5

On day 2, each bacteria got split into 5.

So, number of bacteria on day 2 = 5\times 5 = 25

Now, again on day 3, each of the 25 bacteria got split into additional 5 bacteria.

So, number of of bacteria on day 3 = 25\times 5 =125

Therefore, the population of bacteria on day 3 is 125.

8 0
2 years ago
4. Solve. x² – 81 = 0 (1 point) 0 –9 –9, 9 9
Rudik [331]

x^2 - 81 = 0. Add 81 to each side.

x^2 = 81. Take the square root of each side.

x = 9, -9

5 0
3 years ago
Read 2 more answers
What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)?
IceJOKER [234]

Answer:

y = 3/4x + 17/4

Step-by-step explanation:

Step 1: Find slope <em>m</em>

m = (5 - 2)/(1 + 3)

m = 3/4

y = 3/4x + b

Step 2: Find <em>b</em>

5 = 3/4(1) + b

5 = 3/4 + b

b = 17/4

Step 3: Rewrite equation

y = 3/4x + 17/4

8 0
3 years ago
Read 2 more answers
Milanputs 1 4 ŽĨŚĞƌůĂǁŶͲŵŽǁŝŶŐŵŽŶĞLJŝŶƐĂǀŝŶŐƐĂŶĚƵƐĞƐ 1 2of the remaining money to pay back her sister. If she has $15 left, how
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The same is 14 maybe you could try it
7 0
3 years ago
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