Answer:
together they rake leaves in one minute.
Step-by-step explanation:
If Maya takes x minutes to rake, then in one minute, she rakes leaves.
For Carla, if her raking takes y minutes, in one minute she rakes leaves.
Thus, to find the amount they work together in one minute, we add both of their contributions for that minute, resulting in:
Finally, simplifying this expression gives:
As a result, they collectively rake leaves in a minute.
Shane and Abha received a team badge for gathering at least 2000 cans for recycling.
This indicates that their collection must total a minimum of 2000 cans.
Abha managed to collect 178 more cans than Shane.
Let’s denote the number of cans Shane collected as S
So, Abha collected = S + 178
The inequality representing the number of cans collected by Shane can be expressed as:
=
Answer:
Please refer below.
Step-by-step explanation:
Given points:
Translation rule:
New coordinates after applying the rule:
For the graph, see attached.
The trapezoid highlighted in blue is STUV while the red trapezoid is S'T'U'V'
Given :
∠m1 = ( 7x - 19 )°.
∠m2 = ( x + 5 )°.
To Find :
The value of x .
Solution :
As the relationship between angle ∠m1 and ∠m2 isn't specified,
let's presuppose that the sum of ∠m1 and ∠m2 equals 180°.
Thus,
Angle ∠m2 = (24.25 + 5 )° = 29.25°.
Consequently, ∠m2 is 29.25°.
Hence, this solution meets the requirements.
Answer:
0.8894 represents the likelihood of a negative test result given that the disease is present.
Step-by-step explanation:
We are provided the following in the question:
P(Disco Fever) = P( Disease) =
Thus, we can express:
P(No Disease) =
P(Test Returns Positive with disease present) = 0.99
P( false-positive) = 4%
We need to assess the likelihood of a negative test result when the disease is indeed present, i.e.,
P(test result being negative while disease is present)
According to Bayes's theorem, we can write:
0.8894 is the probability that the test result returns negative when the disease exists.