Answer:
get it helps me with lI do not know the answer 
Step-by-step explanation:
sorry
 
        
             
        
        
        
Option (A) :  least: 10 hours; greatest: 14 hours
The function f(x) = sin x has all real numbers in its domain, but its range is 
−1 ≤ sin x ≤ 1. 
How to solve such range questions?
Such questions in which every term is in addition and its range is asked is simplest ones to solve if we know the range of each of term. This can be seen from this question
Given: d(t) = 2sin(xt) + 12
=  −1 ≤ sin (xt) ≤ 1. 
=  −2≤ 2 sin (xt) ≤ 2. 
=  10 ≤ 2sin (xt) + 12 ≤ 14
=   10 ≤d(t) ≤ 14
Thus  least: 10 hours; greatest: 14 hours
Learn more about range of trigonometric ratios here :
brainly.com/question/14304883
#SPJ4
 
        
             
        
        
        
The graph that represents the inequality has been shown in the attachment.
<h3>How to solve for the graph</h3>
We have these equations 
 y ≤ −3x + 1 
y ≤ x + 3
We remove the inequality sign from both of these equations
y = −3x + 1 
y = x + 3
−3x + 1  = x + 3
such that 
x = -0.5
we use this value for x in any of the equations
 x + 3 = -0.5 + 3
= 2.5
the point of intersection is at 2.5, -0.5
we test for the origin. 0,0
3x + 1 
= 3*0 + 1
= 1
for  x + 3 
0+3 = 3
This is 0≤1 and 0≤3
Hence the graph should be shaded to the origin.
Read more on a graph here: brainly.com/question/14030149
#SPJ1
 
        
             
        
        
        
Answer:
The mean of X is 122.5 and the standard deviation is 7.9.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

In this problem, we have that:

So


The mean of X is 122.5 and the standard deviation is 7.9.
 
        
             
        
        
        
Answer: only has one solution
Step-by-step explanation:  If you find the answer for 7x+3x-8, youll get 10x+8. This will be the same answer for 2(5x-4). Making them equal and having only one solution