We can simplify by reducing factors between the 5 and the 50, as well as between the 42 and the 3.
Answer:
Step-by-step explanation:
It was noted that a music streaming platform modified its format to highlight previously unreleased tracks from emerging artists. The site manager is now aiming to assess whether the daily unique listener count has changed.
The hypothesis is set

(A two-tailed test for mean difference)
The test statistic is calculated, and the p-value turns out to be 0.0743
Assuming a significance level of 5%, we observe that p-value = 0.0743>0.05
Thus, we accept the null hypothesis.
i.e. there is no statistically significant alteration in the average number of daily unique listeners
The p-value serves as an indicator of the extremity of the observed data. If p is lower than alpha, we thus reject H0; otherwise, we accept it.
Answer:
Step-by-step explanation:
The formula for calculating simple interest is
Here,
A refers to the Total Amount of Investment
P denotes the Initial Investment
r indicates the interest rate
t represents the duration in time periods
step 1
Determine the duration t
For this scenario, we have
Plugging into the formula above and solving for t
step 2
What will Rs 600 grow to at 11% over the same duration?
We have
Insert into the formula
Answer:
CrO₃.
Step-by-step explanation:
First, we will find the chromium percentage in the oxide by using the following process:
Oxygen (O) = 48%
Chromium (Cr) =?
The oxide consists solely of chromium and oxygen, and its chromium percentage is calculated as:
Cr = 100 – percentage of oxygen
Cr = 100 – 48
Cr = 52%
Next, we will determine the empirical formula for the oxide:
Chromium (Cr) = 52%
Oxygen (O) = 48%
Now, we divide by their molar mass:
Cr = 52/52 = 1
O = 48/16 = 3
Now, divide by the lowest value:
Cr = 1/1 = 1
O = 3/1 = 3
Thus, the empirical formula for the oxide is CrO₃.
Answer:
Yes, the cost
in dollars and the quantity of yogurt
are indeed proportional.
The relationship can be expressed as: 
Step-by-step explanation:
1. If
varies directly with
, it can be represented as:

Here,
represents the constant of proportionality.
2. We'll calculate the proportionality constant. Given that
and
, we have:

3. Thus, the equation becomes:

4. Now, we need to verify proportionality. Substituting
, which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:

5. They are indeed directly proportional.