Answer:
See below
Step-by-step explanation:
The question is garbled. I don't see a graph nor can I interpret the list of numbers.
g(x) = 2x-1+3 can be simplified to:
g(x) = 2x+2
This line is shown in the attached graph. It has a slope of 2 and a y-intercept of 2.
For a statement to be biconditional, both the statement and its inverse must be true.
The prime numbers are the numbers that can only be divided between themselves and between 1. For example: 7,19,11
.
The even numbers are those that when divided by 2, result in a whole number. If a number is not even, then it's odd
.
Not all prime numbers are odd. For example, the number 2 is a prime number and is even.
The inverse of the statement is also not true. The number 9, for example, is an odd number, however, it is not a prime number, it is already divided by 3.
So both the statement and its inverse are false.
The correct answer is option D): No, because the statement and its conversation are false
Answer:
(A) 0.15625
(B) 0.1875
(C) Can't be computed
Step-by-step explanation:
We are given that the amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 32 and 64 minutes.
Let X = Amount of time taken by student to complete a statistics quiz
So, X ~ U(32 , 64)
The PDF of uniform distribution is given by;
f(X) = , a < X < b where a = 32 and b = 64
The CDF of Uniform distribution is P(X <= x) =
(A) Probability that student requires more than 59 minutes to complete the quiz = P(X > 59)
P(X > 59) = 1 - P(X <= 59) = 1 - = 1 - = = 0.15625
(B) Probability that student completes the quiz in a time between 37 and 43 minutes = P(37 <= X <= 43) = P(X <= 43) - P(X < 37)
P(X <= 43) = = = 0.34375
P(X < 37) = = = 0.15625
P(37 <= X <= 43) = 0.34375 - 0.15625 = 0.1875
(C) Probability that student complete the quiz in exactly 44.74 minutes
= P(X = 44.74)
The above probability can't be computed because this is a continuous distribution and it can't give point wise probability.
Answer:
Option D. $5,840.62
Step-by-step explanation:
Investment: I=$900,000
Period annuity: A
4.8% APR compounded monthly:
APR=4.8%=4.8/100→APR=0.048
Period of 20 years
A=r*I/[1-(1+r)^(-n)]
Rate per period (month): r=APR/12=0.048/12→r=0.004
Number of periods (months): n=12(20)→n=240
Replacing the known values in the formula:
A=0.004*$900,000/[1-(1+0.004)^(-240)]
A=$3,600/[1-(1.004)^(-240)]
A=$3,600/[1-0.383626788]
A=$3,600/[0.616373212]
A=$5,840.617226
A=$5,840.62
Answer:
(-2, -2)
Step-by-step explanation:
Compare the two functions ...
f(x) = -|x +2| -2
f(x) = a·g(x -h) +k
where f(x) is a translation and scaling of function g(x). Here, you have ...
g(x) = |x|
The scale factor is a = -1.
The horizontal shift is h = -2.
The vertical shift is k = -2.
_____
The original vertex at (0, 0) has been shifted by (h, k) to ...
(0, 0) + (h, k) = (0, 0) + (-2, -2) = (-2, -2).