A decimal point is a dot or period that is placed after a whole number. Every number has a decimal point. For example, 1.243 has one. Also, 5. has a decimal point. They are just sometimes invisible. When you use a decimal point, it means that the number has a part of something added to it.
[tex}r - 5 \frac{5}6 + 5\frac{5}6 = 10 +5\frac{5}6{/tex]
Answer:
a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %
Step-by-step explanation:
a. This is a binomial probability.
Let q = probability of giving out wrong number = 15 % = 0.15
p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75
For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹
= 10(0.15)(0.75)⁹
= 1.5(0.0751)
= 0.1126
= 11.26 %
b. At most one wrong is P(x ≤ 1) = P(0) + P(1)
= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹
= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹
= 0.0563 + 0.01126
= 0.06756
= 6.756 %
≅ 6.76 %
Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.
To solve the problem posed in the statement we need to know the equivalence between squared foot and squared inches, and that is:
1 square foot = 144 square inches
So Reed uses 8 pieces of glass per 144 squared inches as well.
Now we can use a rule of three, simple and direct proportion to solve the question, it goes like this:
144 squared inches ------> 8 pieces glass
864 squared inches ------> x
x = (864)(8)/144
x = 48
Hence, Reed will use 48 pieces of glass to make a window that is 864 square inches.
