Hello!
You can make two expressions based on what you know
let x equal the larger number
let y equal the smaller number
x + y = 95
x + 2y = 120
We can use elimination to get rid of x
You can subtract the two equation to get rid of x
-y = -25
Since y is negative we can multiply both sides by -1 to make y positive
y = 25
Now we can put this into one of the other equations to find x
x + 25 = 95
subtract 95 from both sides
x = 70
The answers are 70 and 25
Hope this helps!
Answer:
-6,2
Step-by-step explanation:
A = LW
A = 188
W = 4
188 = 4L
188/4 = L
47 = L....so the length is 47 meters
Answer:
Forty-seven percent is the statistic and 31% is the parameter
Step-by-step explanation:
Various terms are used in mathematics when it comes to carrying out particular studies in statistics.
A) Parameter
A parameter when is comes to statistical studies can be defined as the term that tells us more about a group or population of people.
B) Statistic
Statistic is a measure that tells us about is a characteristic of a sample or part of a given population.
In the above question, we are told that: a study of parents of kindergarteners included 349 parents who were chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre- kindergarten.
According to the definition of Parameter and Statistic that I explained above,
A) The Parameter is 31% . This is
because it tell us about percentage ( a sample) of parents whose children are in kindergarten that sent their children to prekindergarten first.
B) The Statistic is 47% . This is because, it tell us about the percentage of parents that sent their children to prekindergarten.
Answer:
The proof is given below.
Step-by-step explanation:
Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of parallelogram bisect each other.
In ΔACD and ΔBEC
AD=BC (∵Opposite sides of parallelogram are equal)
∠DAC=∠BCE (∵Alternate angles)
∠ADC=∠CBE (∵Alternate angles)
By ASA rule, ΔACD≅ΔBEC
By CPCT(Corresponding Parts of Congruent triangles)
AE=EC and DE=EB
Hence, AE is conruent to CE and BE is congruent to DE