The correct set of hypotheses for the sample in July is H0: μ ≠ 80 Ha: μ = 80.
The null hypothesis H0 which is also known as the default hypothesis states that there is no relationship between the population parameters. The alternative hypothesis (H1 ) states that there is a relationship between the population parameters.
To learn more about the null hypothesis, please check: brainly.com/question/4454077
Answer:
u <= 80
u > 80
Step-by-step explanation:
The happiest would be
Null hypothesis: u <= 80
Alternative hypothesis: u > 80
Answer:
Step-by-step explanation:
So we have the function:
And we want to find h(x)=3/4.
So, we want to find the value of x such that h(x) equates to 3/4.
So, substitute 3/4 for h(x):
First, subtract both sides by 5/4. The right will cancel.
Subtract on the left:
Reduce on the left:
Now, multiply both sides by -1/2. The right will again cancel:
Multiply on the left:
So, for h(x) to be 3/4, the value of x is 1/4.
And we're done!
Answer:
x = 1/4
Step-by-step explanation:
We are given the function as h(x) = - 2x + 5/4. If we have to determine h(x) = 3/4 given this function, let's substitute this value into our function and solve for 'x.' This will be our solution -
3/4 = - 2x + 5/4,
If we subtract 5/4 from either side : - 2x = - 1/2
Now divide either side by - 2 : x = 1/4
Therefore our solution is x = 1/4
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Explanation:
We have two workers, more or less. Worker A gets the job done in 5 hours. Worker B comes along to help. If A and B work together, they get the job done in 4 hours. This assumes neither worker hinders the other.
Worker A's rate is 1/5 of a job per hour. In other words, after 1 hour, 1/5 of the job is done.
The combined rate is 1/4 for similar reasoning
Worker B's rate is 1/x where x represents how long it takes worker B to get the job done on its own.
The equation to solve is
1/5 + 1/x = 1/4
Note how 1/5 and 1/x represents the sum of the individual rates to get the combined rate 1/4
To solve this equation, it helps to clear out the fractions. Multiply every term by the LCD 20x
20x(1/5 + 1/x) = 20x(1/4)
20x(1/5) + 20x(1/x) = 20x(1/4)
4x + 20 = 5x
From here you can probably see solving this is relatively easy
4x+20 = 5x
20 = 5x-4x
20 = x
x = 20
Therefore, it will take 20 hours for worker B to get the job done on its own.
Going back to the processing context, it takes 20 hours for the new processor to download the movie. This is where the new processor is working alone without help from the original processor.
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Side note: downloading a movie really depends on internet speed rather than processor speed.
3(x + 1) = 9+ 2x
Answer:
Step-by-step explanation:
So we have the equation:
Distribute the left side:
Subtract 2x from both sides. The right side cancels:
Subtract 3 from both sides:
So, x is 6.
Answer:
48
Step-by-step explanation:
3.2 - 3 = .2
3(.2) = .6
9 + .6 = 9.6
5 * 9.6 = 48
Answer:
Step-by-step explanation:
2(3) - 4(1/2)
6 - 2 = 4
Answer:
Wavelengths of all possible photons are;
λ1 = 9.492 × 10^(-8) m
λ2 = 1.28 × 10^(-6) m
λ3 = 1.28 × 10^(-6) m
λ4 = 4.04 × 10^(-6) m
Step-by-step explanation:
We can calculate the wavelength of all the possible photons emitted by the electron during this transition using Rydeberg's equation.
It's given by;
1/λ = R(1/(n_f)² - 1/(n_i)²)
Where;
λ is wavelength
R is Rydberg's constant = 1.0974 × 10^(7) /m
n_f is the final energy level = 1,2,3,4
n_i is the initial energy level = 5
At n_f = 1,.we have;
1/λ = (1.0974 × 10^(7))(1/(1)² - 1/(5)²)
1/λ = 10535040
λ = 1/10535040
λ = 9.492 × 10^(-8) m
At n_f = 2,.we have;
1/λ = (1.0974 × 10^(7))(1/(2)² - 1/(5)²)
1/λ = (1.0974 × 10^(7))(0.21)
1/λ = 2304540
λ = 1/2304540
λ = 4.34 × 10^(-7) m
At n_f = 3, we have;
1/λ = (1.0974 × 10^(7))(1/(3)² - 1/(5)²)
1/λ = (1.0974 × 10^(7))(0.07111)
1/λ = 780373.3333333334
λ = 1/780373.3333333334
λ = 1.28 × 10^(-6) m
At n_f = 4, we have;
1/λ = (1.0974 × 10^(7))(1/(4)² - 1/(5)²)
1/λ = (1.0974 × 10^(7))(0.0225)
1/λ = 246915
λ = 1/246915
λ = 4.04 × 10^(-6) m