50 tens and 9 ones is less than 49 tens and 35 ones because 50 tens is 500 + 9 is 509, whereas 49 tens is 490 + 35.
>First jump = 4.25 m
>Best jump = 1.12 * First jump
Best jump = 1.12 * (4.25 m)
Best jump = 4.76 m
>Best jump = 0.85 * Winning jump
Hence,
Winning jump = Best jump / 0.85
Winning jump = 4.76 m / 0.85
<span>Winning jump = 5.6 m</span>
Answer:
See Below
Step-by-step explanation:
1) 180 ft / 6 sec
To find a unit rate, you need to have a denominator of 1 and to to do that, you can divide the numerator and denominator by the same number, in this case: 6.
30 ft / 1 sec
2) 86 mi / 5 hr
Same as above^(except dividing by 5)
17.2 mi / 1 hr
3) 83 mi / 5 hr
Same as above^^
16.6 mi / 1 hr
We can rewrite this as: 16.6 mph
4) 93 mi / 5 hr
Same as above^^^
18.6 mi / 1 hr
5) 150 mi / 4 hr
Same as above^^^^
37.5 mi / 1 hr
We can rewrite this as: 37.5 mph
Answer: 0.6812
Step-by-step explanation:
Let p be the population proportion of trees are infested by a bark beetle.
As per given: p= 12%= 0.12
Sample size : n= 1000
Number of trees affected in sample = 1000
Sample proportion of trees are infested by a bark beetle. = 
Now, the z-test statistic : 
So, 

Hence, the value of the z-test statistic = 0.6812 .
Exterior angle is equal to sum of interior opposite angles hence,
req. angle = 80 + 62 = 142