Answer:
Step-by-step explanation:
There is theorem in this chapter which explains the answer
According to the theorem , 
/_rbd = 2 /_ rad
Therefore , rbd = 34 ° .
Hence , rad = 2x 34
 Therefore , rad = 68°
 
        
                    
             
        
        
        
ANSWER

EXPLANATION
The given fractions are:

We factor to obtain:

We cancel the common factors to get:

We multiply the numerators and also multiply the denominators to get:

Therefore the two fractions simplifies to 
 
        
             
        
        
        
Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean  and standard deviation
 and standard deviation  is given by:
 is given by:

- The z-score measures how many standard deviations the measure is above or below the mean. 
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are given, respectively, by:
 .
.
The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is <u>one subtracted by the p-value of Z when X = 4</u>, hence:


Z = 1.71
Z = 1.71 has a p-value of 0.9564.
1 - 0.9564 = 0.0436.
0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
More can be learned about the normal distribution at brainly.com/question/24663213
#SPJ1
 
        
             
        
        
        
Since, she has already been working for two hours (120 minutes) and has budgeted only 6 hours (360 minutes) to create the centerpieces.
Since, each centerpiece takes 15 minutes to make, the time it takes her to make x centerpieces is given by 15x.
Therefore, the correct inequality representing the situation is given by 120 + 15x <span>≤ 360.</span>