Answer:
x< 2
Step-by-step explanation:
We are given the inequality;
5(x+3)−8<17
First we take 8 to the other side;
5(x+3)<17 + 8, notice the sign changes like with an equation
Opening the brackets;
5x + 15 < 25
We then take 15 to the other side;
5x < 25 -15
5x < 10
x < 2
Thus, the solution of the inequality is x< 2
Answer:
<h3>27</h3>
Step-by-step explanation:
Given
f(x)= x^2-2 and g(x) = 4f (x)-1
g(x) = 4(x^2-2) - 1
g(x) = 4x²-8-1
g(x) = 4x²-9
Get g(-3):
g(-3) = 4(-3)²-9
g(-3 = 4(9) - 9
g(-3) = 36-9
g(-3) = 27
Multiply D×E. Which is 1×5. And subtracte 2
Answer:
25 rounds
Step-by-step explanation:
Let
x -----> the number of rounds of golf
y ---> total charges to play
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
<em>Membership</em>
----> equation A
The slope is m=$35 per round
The y-intercept b=$500 (annual membership fee)
<em>Non-Membership</em>
----> equation B
The slope is m=$55 per round
The y-intercept b=$0
Equate equation A and equation B
solve for x
For x=25 rounds the cost to be the same with and without a membership
Answer:
a) 33.33%)
b) 135 minutes
c) 8.66 min
d) 50%
Step-by-step explanation:
a) the probability for a uniform distribution is
P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values
therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)
P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)
b) the mean (expected value) for a uniform probability distribution is
E(X) = (c+d)/2 = (120+150)/2 = 135 minutes
c) the standard deviation for a uniform probability distribution is
σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²
σ = √75 min² = 8.66 min
b) following the same procedure as in a)
P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)
