Is there a specific question?
Pemdas is usually the general order to solving exponential equations.
(P) Parenthesis, as in simplify what is inside a parenthesis first.
(E) Exponents
(M) Multiplication
(D) Division
(A) Addition
(S) Subtraction, Subtraction would occur last.
:V
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
Step-by-step explanation:
8.
Prime factorization of 48 is :
Option (3) is true.
9.
Prime factorization of 19 is:
19 = 19 × 1
Option (c) is correct.
(10).
Prime factorization of 924 is:
924 = 2 x 2 x 3 x 7 x 11
= 2² x 3¹ x 7¹ x 11¹
Hence, this is the required solution.
(4*2)-(2*-3)+(5*5)= 8-6+25= 27
