Suppose that we wanted to estimate the true average number of eggs a queen bee lays with 95 percent confidence. The margin of er
1 answer:
Answer:
At least 1537 samples needed to estimate the true average number of eggs a queen bee lays with 95 percent confidence
Step-by-step explanation:
Minimum sample size required can be found using the formula
N≥ where
- N is the sample size
- z is the corresponding z-score of 95% confidence level (1.96)
- s is the standard deviation (10)
- ME is the margin of error (0.5)
then N≥ =1536.64
Then, at least 1537 samples needed to estimate the true average number of eggs a queen bee lays with 95 percent confidence
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For a radical with an even root, like 2 in this case, if the radicand turns to a negative value, the result is just an imaginary value, which is another way to say, there's no such a root, no solution per se.
for that, let's first check when the radicand turns to 0 first.
so, that happens when x = 1, -8(1) +8, is just -8+8 or 0, ok.
so.. if "x" goes a bit higher, like say 2, -8(2) + 8 --> -16 + 8 --> -16
you'd get a negative value, and the radical doesn't have a root for that.
so... the domain, or values "x" can safely take without making the square root expression a negative value, are 1 or below, for example, if we use say -5
-8(-5) + 8 --> 40+8 --> 48 <------ a positive value
thus, (-∞, 1]
for that, let's first check when the radicand turns to 0 first.
so, that happens when x = 1, -8(1) +8, is just -8+8 or 0, ok.
so.. if "x" goes a bit higher, like say 2, -8(2) + 8 --> -16 + 8 --> -16
you'd get a negative value, and the radical doesn't have a root for that.
so... the domain, or values "x" can safely take without making the square root expression a negative value, are 1 or below, for example, if we use say -5
-8(-5) + 8 --> 40+8 --> 48 <------ a positive value
thus, (-∞, 1]