Answer:
k-n+1
Step-by-step explanation:
How many numbers are written from n to k
Lets look at a smaller example with real number
Lets go from 3 to 8
3 4 5 6 7 8
There are 6 numbers
We take 8 -3 = 5, but we include the number 3 so we add it back in +1
5+1 =6
Lets look at a larger example
2 to 11
2,3,4,5,6,7,8,9,10,11
There are 10 numbers
11-2 =9 but we have to add back in the first number
9+1 =10
Now we are going from n to k
k-n = k-n, but we have to add back in the first number
k-n+1
Answer:
Well if Liliana loses 18 points and Marcus get the correct one and gains 18 points
Step-by-step explanation:
So basically it's going to be negative because its saying what is the opposite of Liliana's core but in reverse order
Answer:
The value x in the equation 50=14+x+7+2x-1 is 10
Step-by-step explanation:
Given that the length of one side of a triangle is 14 inches
Let a be the length of one side
Therefore a=14 inches
The length of second side in x+7 inches
Let b be the length of second side
b=x+7 inches.
The length of third side is 2x-1 inches
Let c be the length of third side
c=2x-1 inches
And perimeter of the triangle =50 inches
Perimeter of a triangle =a+b+c
Equation can be written as
50=14+x+7+2x-1
50=20+3x ( adding the like terms )
Rewritting as below
3x+20=50
3x+20-50=50-50
3x-30=0
3x-30+30=0+30
3x=30
Therefore x=10
The value of x is 10
<h3>
Answer: Yes</h3>
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Explanation
The ratio 8:10 simplifies to 4:5 when you divide both parts by 2.
The ratio 16:20 simplifies to 4:5 when you divide both parts by 4
Therefore the two ratios 8:10 and 16:20 are both equal 4:5, so they are equal to one another.
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Put another way,
(8 large)/(10 small) = (16 large)/(20 small)
8/10 = 16/20
8*20 = 10*16 ... cross multiply
160 = 160
We get a true equation, so the first equation is true as well.
This shows the ratios are equivalent.
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Or you could have...
(8 large)/(16 large) = (10 small)/(20 small)
8/16 = 10/20
8*20 = 16*10
160 = 160
We get the same conclusion as before.
Answer:
Pr(all will survive in one year) = 0.35 to 2 decimal places
Pr(at least 8 will survive) = 0.39 to 2 decimal places.
Step-by-step explanation:
Probability of a tree surviving one year is 0.9. While not surviving probability is 1 - 0.9 = 0.1
This is obtained from the 90℅ surviving rate for one year planted by the landscaping firm.
Probability that if 10 trees are planted, all will survive for one year is:
0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9 = 0.9^10 = 0.349
Probability that at least 8 will survive in one year can be expressed as
8 survived x 2 not survived +(or) 9 survived x 1 not survived +(or) 10 survived
= [(0.9^8)x(0.1^2) + (0.9^9)x(0.1^1) + (0.9^10)] = 0.391
Step-by-step explanation:
