Answer:
(1, 3)
Step-by-step explanation:
If quadrilateral ABCD is reflected across the line y = x, then the x- and y-coordinates get reversed. Since the coordinates of point D are (3, 1), then the coordinates of point D' are (1, 3).
Answer:
Step-by-step explanation:
Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the number of pages.
µ = mean
σ = standard deviation
From the information given,
µ = 2300 pages
σ = 150 pages
1)
the probability that this toner can print more than 2100 pages is expressed as
P(x > 2100) = 1 - P(x ≤ 2100)
For x = 2100,
z = (2100 - 2300)/150 = - 1.33
Looking at the normal distribution table, the probability corresponding to the z score is 0.092
P(x > 2100) = 1 - 0.092 = 0.908
2) P(x < 2200)
z = (x - µ)/σ/√n
n = 10
z = (2200 - 2300)/150/√10
z = - 100/47.43 = - 2.12
Looking at the normal distribution table, the probability corresponding to the z score is 0.017
P(x < 2200) = 0.017
3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is
- 1.88
Therefore,
- 1.88 = (x - 2300)/150
150 × - 1.88 = x - 2300
- 288 = x - 2300
x = - 288 + 2300
x = 2018
The threshold should be
x < 2018 pages
Answer:
no
Step-by-step explanation:
no input can have diffrent outputs if you change the input values then yes it is a function hope this helps god bless
Answer:
In 50 years the amount will be $ 2000.
Step-by-step explanation:
Tiana deposited $500 into a account at 6 % simple interest per Year .
Therefore, Principal (P) is $500
Amount (Principal + Interest) = $2000
Interest (I) = $2000 - $500 = $1500
Rate percentage (R) = 6% per Year
Let, The time be T years
Now, I = 
Or, T = 
Or, T = (100×1500 ) ÷ ( 500× 6 )
<em> </em><em>∴ T = 50 Years</em>
