Answer:
4(2 - x)(2 + x)
Step-by-step explanation:
16 - 4x² ← factor out 4 from each term
= 4(4 - x²) ← difference of 2 squares
= 4(2 - x)(2 + x) ← in factored form
I think it’s the first one is not sure tho
Answer: 74.9 millimeters
Step-by-step explanation:
From the question, a photo of a beetle in a science book was.increased to 535% as large as its actual size and the beetle.has a actual size of 14 millimeters,
The size of the beetle on the photo will be 535% of 14 millimeters. This will be:
= 535% of 14
= 535/100 × 14
= 5.35 × 14
= 74.9 millimeters
Answer:
The probability that at least 280 of these students are smokers is 0.9664.
Step-by-step explanation:
Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers
The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:

Thus, a Normal approximation to binomial can be applied.
So,

Compute the probability that at least 280 of these students are smokers as follows:
Apply continuity correction:
P (X ≥ 280) = P (X > 280 + 0.50)
= P (X > 280.50)

*Use a <em>z</em>-table for the probability.
Thus, the probability that at least 280 of these students are smokers is 0.9664.