Answer:
The coordinates of the mid-point of JL are (-5 , 2)
Step-by-step explanation:
If point (x , y) is the mid-point of a segment whose end-points are 
and 
, then 
and 
∵ JL is a segment
∵ The coordinates of J are (-6 , 1)
∴ 
= -6 and 
= 1
∵ The coordinates of L are (-4 , 3)
∴ 
= -4 and 
= 3
Lets use the rule above to find the mid-point of JL
∵ 
∴ x = -5
∴ The x-coordinate of the mid-point is -5
∵ 
∴ y = 2
∴ The y-coordinate of the mid-point is 2
∴ The coordinates of the mid-point of JL are (-5 , 2)
I think it’s 5.25 cm but you might want to double check.
Years for one serious accident is 10 year
<u>Given:</u>
Probability of having a serious accident = 10% every year
P(serious accident) = 0.1
Number of years = n
<u>Computation:</u>
Years for one serious accident = 1 / Probability of having a serious accident
Years for one serious accident = 1 / P(serious accident)
Years for one serious accident = 1 / 0.1
Years for one serious accident = 10 year
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Answer:
i) There are 40320 possible orders
ii) There are 336 possible orders for the first 3 positions.
Step-by-step explanation:
Given: The number of finalists = 8
The number of boys = 3
The number of girls = 5
To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!
The number of possible orders = 8!
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8
= 40320
ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.
nPr =
Here n = 8 and r = 3
Plug in n =8 and r = 3 in the above formula, we get
8P3 = 
= 
= 6.7.8
= 336
So there are 336 possible orders for the first 3 positions.
The <em>correct answer</em> is:
$19,153.26.
Explanation:
She will receive 42% of her average annual salary. This salary was $45,603.
To find 42% of a number, we first convert the percent to a decimal: 42% = 42/100 = 0.42.
Next we multiply this by the number we're taking the percent of:
0.42(45603) = 19153.26.
