Answer:
No because there is sufficient statistical evidence to suggest that the mean contents of cola bottles is equal to 300 ml as advertised
Step-by-step explanation:
Here we have the measured contents as
299.4
297.7
301.0
298.9
300.2
297.0
Total = 1794.2
∴ Mean = 299.03
Standard deviation = 1.5
We have
Where:
= Mean of sample = 299.03 ml
μ = Mean of population = 300 ml
σ = Standard deviation of population = 3 ml
n = Sample size = 6
α = 5% = 0.05
We set our null hypothesis as H₀ = 300 ml
Our alternative hypothesis is then Hₐ < 300 ml
Therefore, z = -0.792
The probability from z table is P = 0.2142
Since the P value, 0.2142 is > than the 5% significance level, 0.05 we accept the null hypothesis that the mean contents of cola bottles is 300 ml.
Answer:
Step-by-step explanation:
A negative exponent in the numerator is the same as a positive exponent in the denominator, and vice versa.
... a^-b = 1/a^b . . . . . for any value of b, positive or negative
The exponent of a product is the sum of the exponents:
... (a^b)(a^c) = a^(b+c)
___
Applying these rules, you have
... = 2/(3x^4·x·y) = 2/(3x^(4+1)·y) = 2/(3x^5·y)
12+30>6x-4x
42>2x
42/2>x
21>x
The answer is 16 because 16+2=18-4=14
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by
The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:
Using the quadratic formula, the solution for our problem is
The rocket splashes after 26.845 seconds.
The maximum of this function happens at the root of the derivative. Differentiating our function, we have
The root is
Then, the maximum height is
1029.99 meters above sea level.
