Answer:
x = 6
Step-by-step explanation:
The equation we need to solve is:

We can change it to exponential form to determine the answer. Below we illustrate the formula to convert log to exponential form:

Next, we convert the log into exponential:

Now we will solve for
For the equation Z^5=-7776i, we deduce that Z=+6.
Answer:
The solution to the equation is 40
This indicates the max number of wedding invitations they can afford to send within their budget.
Step-by-step explanation:
To find the zero of the function, we set the dependent variable (here, m) to zero.
So we have;
0 = 50-1.25w
1.25w = 50
w = 50/1.25
w = 40
What implication does this have in this context?
Essentially, it means that the couple can send out invitations to a total of 40 people based on their budget.
Response:
Maureen's null hypothesis is, H₀: p₁ ≥ p₂.
Detailed explanation:
Maureen McIlvoy, as the owner and CEO of a mail-order business specializing in windsurfing gear, is scrutinizing the order fulfillment processes in her warehouses. Her objective is to achieve a 100% shipment rate of orders within 24 hours. Upon examining her warehouse operations, she discovers that both the East coast and West coast warehouses have not met this goal, although the East Coast warehouse has consistently outperformed its counterpart.
To verify this finding, Maureen’s team randomly sampled 200 orders from the West Coast warehouse (population 1) and 400 from the East Coast warehouse (population 2).
Of the sampled 200 orders from the West Coast warehouse, 190 were delivered within the specified time. In contrast, 372 out of 400 orders from the East Coast warehouse were processed within 24 hours.
The hypotheses can be formulated as followed:
H₀: The proportion of timely shipments from the East Coast does not exceed that from the West Coast warehouse, thus, p₁ ≥ p₂.
Hₐ: The proportion of timely shipments from the East Coast warehouse is indeed greater than that from the West Coast warehouse, stated as p₁ < p₂.
Thus, Maureen's null hypothesis becomes, H₀: p₁ ≥ p₂.