Calculate the residuals.
1 answer:
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Answer:
Apples = 24
Pears = 40
Step-by-step explanation:
Let u be the unit of fruit in the basket,
number of apples:
number of pears:
now to find u, we equate the two equations.
Now simplify.
Now we can find the original number of apples and pears by substituting u.
so original number of apples =
and original number of pears =
Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =
Answer:
The probability of choosing a blue or yellow highlighter when one yellow highlighter is picked is 17/25.
Step-by-step explanation:
Here, according to the question:
Total number of yellow highlighters = 12
Total number of blue highlighters = 6
Total number of green highlighters = 4
Total number of orange highlighters = 3
So, the total number of highlighters = 12 + 6 + 4 + 3 = 25
Let E1 : Event of selecting a yellow highlighter.
P(E1) = =
Let E2 : Event of selecting blue or yellow highlighter ONCE yellow highlighter is selected.
So, the total yellow highlighters left after selecting one = 12 -1 = 11
Also, the number of blue highlighter = 6
So, the TOTAL FAVORABLE options to E2 = 6+ 11 = 17
P(E2) =
=
Hence, the probability that a blue or yellow highlighter is selected given that a yellow highlighter is selected is 17/25.