Answer:
Sarah purchased 2 drinks and 6 candies.
Step-by-step explanation:
Let
x ----> the quantity of drinks Sarah bought.
y ----> the number of candies acquired by Sarah.
We know that
the total spent on drinks and candies was $35.50
therefore,
-----> equation A
She bought 3 times more candies compared to drinks.
thus,
-----> equation B
To resolve the equations graphically
The solution lies at the intersection of the two graphs
utilizing a graphing tool
The result is the coordinate (2,6)
therefore,
Sarah bought 2 drinks and 6 candies.
The given expression is
Thus, in verbal form, we can express it as one eighth of a number.
Response:
Detailed explanation:
Hello!
Stratified sampling involves the categorization of the population into subgroups based on pre-established criteria for the study. These subgroups consist of homogeneous units concerning the relevant characteristics. In this instance, individuals in the groups will represent only one of the two potential opinions (support or not support) and not both.
The researcher determines the sample size desired, considering several factors such as finances, material availability, and accessibility to experimental subjects (for instance, if they are endangered species, larger sample sizes may not be feasible).
One might conduct proportionate stratified sampling by selecting a proportion of respondents who answered "yes" along with those who answered "no."
In this sampling method, taking a specific proportion from each subgroup allows for a more straightforward extrapolation of results to the overall populations. For example, if you needed a sample size of n = 20, each stratum would ideally contain half, meaning 10 from the “yes” group and 10 from the “no” group.
I hope this is helpful!
Answer:
118.2°
Step-by-step explanation:
Dos líneas paralelas x e y son cortadas por la transversal w (ver el diagrama adjunto).
Se forman 8 ángulos (denominados 1, 2, 3, 4, 5, 6, 7 y 8).
Los ángulos 1 y 6 son ángulos del mismo lado cuando dos líneas paralelas x e y son cortadas por la transversal w.
Dos ángulos del mismo lado son suplementarios (suman 180°). Esto significa
Dado 
por lo que
To address this problem, let's start by formulating the general motion equation along the vertical direction.
This gives us:
Where,
- g: gravitational acceleration
- vo: initial velocity
- h0: starting height
For the first individual:
For the second individual:
When both individuals reach the identical altitude, the following holds:
Rearranging results in:
Solving for time:
Result:
The two window washers reach the same height after 18.31 seconds.
