P² + 14p + 40
= p² + 10p + 4p + 40
= p(p+10) + 4(p+10)
= (p+10)(p+4)
Answer and Step-by-step explanation:
Solution:
Given:
Assume that 46% of consumers are comfortable to deliver their purchase.
Five consumers randomly selected.
Exactly three of them are comfortable with delivery by drones.
Identify the value of n, x, p?
Probability of success on any one trial = 46% = 0.46
Probability of failure on any trial = q = 1-p
= 1- 0.46
= 0.54
The number of trial = n = 5
The number of comfortable consumers =x = 3
n represent the number of subject included.in this question, there are five consumers randomly selected.
X represents the number of success. In question, there are exactly three consumers that are comfortable with delivery by drones.
P represents the probability of success, and q represent the probability of failure.
Hence,
n = 5
x= 3
p = 0.46
q= 0.54
X + 9 = 2x - 3
<u>-x -x </u>
9 = x - 3
<u> +3 +3</u>
12 = x
Answer:
He must charge minimum £0.84 for one hot dog.
Step-by-step explanation:
Ingredients cost for hot dogs at the supermarket,
Price of dog sausages tin of 8 = 50p ≈ £0.5
Price of dog bun packs of 6 = 90p ≈ £0.90
Number of tins required for 150 hot dogs = 
= 6.25
So student will purchase 7 tins.
Cost of 7 tins = 7 × 0.5
= £3.5
Number of dog buns packets required = 
= 25
Cost of 25 packs = 25 × 0.9
= £22.5
Total cost of the material used for 150 buns = 22.5 + 3.5
= £26.0
Let the selling price of each hot dog = £x
Then selling price of 150 hot dogs = £150x
Students wants the profit = £100
So, Selling price - Cost price = profit
150x - 26 = 100
150x = 126
x = 
x = £0.84
Therefore, he must charge minimum £0.84 for one hot dog.
Answer:
g ≈ 34.7 in
Step-by-step explanation:
The law of sines is useful for this:
f/sin(F) = g/sin(G)
Multiplying by sin(G), we have ...
g = f·sin(G)/sin(F) = (61 in)·sin(34°)/sin(79°)
g ≈ 34.7 in
