Answer:
49 eggs.
Step-by-step explanation:
The formula for Margin of Error =
z × standard deviation/√number of samples
z = z score of 98% confidence interval = 2.326
Margin of Error = Half a day = 1/2day = 0.5 day
Standard deviation = 1.5 days
Number of samples = number of eggs he needs to sample = unknown.
Imputing these above values into the formula
Margin of Error = z × standard deviation/√number of samples
0.5 = 2.326 × 1.5/√n
Cross Multiply
0.5 × √n = 2.326 × 1.5
√n = 2.326 × 1.5/0.5
√n = 3.489/0.5
√n = 6.978
Square both sides
(√n)² = 6.978²
n = 48.692484
n ≈ Approximately to the nearest whole number = 49
Therefore, the number of eggs he needs to sample to create the desired interval is approximately to the nearest whole number 49 eggs
Neck: In 2/3 of an hour Naomi will stretch her neck one (there's not enough time for two neck stretches, that would require an hour).
Legs: In 2/3 of an hour, she will stretch her legs twice (1 stretch every 1/3 of an hour for 2/3 of an hour equals 2).
Arms: In 2/3 of an hour she will stretch her arm four times (2/3 divided by 1/6 equals 4).
Total stretches: 1 neck stretch, 2 legs stretches, and 4 arms stretches.
Answer:
C.
Step-by-step explanation:
Step-by-step explanation:
remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.
so, the given domain tells us the interval to look at.
what are the functional values of the function between 0 and 50 ?
since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.
f(0) = 4×0 + 5 = 5
f(50) = 4×50 + 5 = 205
so, the range is 5 <= y <= 205
In this case, you first need to think about what is the formula for the circumference of a circle. <span>The formula for the circumference of a circle is 2 * PI * r, where r is the radius of the circle, and PI is the mathematical constant approximately equal to 3.14.
feet
</span>
