<h3>
Look at the picture.</h3>
<em>commutative property</em> a + b = b + a
... (-5 + 1/2 + 5) = ... (-5 + 5 + 1/2)
<em>inverse property of addition</em> a + (-a) = a - a = 0
... (-5 + 5 + 1/2) = ... (0 + 1/2)
<em>identity property of addition</em> a + 0 = 0 + a = a
... (0 + 1/2) = ... 1/2
<em>inverse property of multiplication</em> a/b · b/a = 1
37 · 2 · 1/2 = 37 · 2/1 · 1/2 = 37 · 1
<em>identity property of multiplication</em> a · 1 = 1 · a = a
37 · 1 = 37
Answer:
Option: B
There are three times as many participants in the 40-59 age group than in the 0-19 age group.
Step-by-step explanation:
From the histogram we have following observations:
Number of people in the age group 0-19= 20
Number of people in the age group 20-39=40
Number of people in the age group 40-59=60
Number of people in the age group 60-79=50
Hence, from the data we could say that there are three times as many participants in the 40-59 age group( which is 60) than in the 0-19 age group(which is 20).
Hence, option B is correct.
Answer:
Step-by-step explanation:
In the past, mean of age of employees
i.e. 
Recently sample was taken
n = sample size = 60
Mean of sample = 45
Std dev of sample s = 16

(Right tailed test)
Since only population std deviation is known we can use t test only
Std error = 
Mean difference = 45-40 =5
Test statistic t=
df = 60
p value =0.008739
Since p < 0.05 we reject null hypothesis
The mean age has increased.
Answer:
0, 1.32
Step-by-step explanation:
16cos(t)*sin(t)=4sin(t)
cos(t)=1/4 or sin(t)=0
t=1.32 or 0