Answer:
y = 3x - 1
Step-by-step explanation
We manipulate the scatter plot feature in Ms. Excel then we simply add the linear trend line displaying the equation on the chart.
The excel output is attached below.
The relation exhibited by the data set is y = 3x - 1; given the value of x, the value of y is obtained by multiplying x by 3 and subtracting 1 from the result.
Answer:
133/143
Step-by-step explanation:
Let S be the sample space
Let E be the event of selecting three committee partners with at least one junior partner.
Partners in the law firm include:
Senior partners = 6
Junior partners = 7
Total partners = 13
n(S) = number of ways of selecting 3 partners from 13 = 13C3
n(S) = 13C3 = 13!/(10!3!) = (13x12x11)/(3x2x1) = 286
To get n(E) i.e least 1 junior partner in the selected committee, we may have:
(2 senior and 1 junior) or ( 1 senior and 2 junior) or (3 junior).
Therefore, the required number of way is given below:
= (6C2 x 7C1) + (6C1 x 7C2) + 7C3
= [(6x5)/2 x 7] + [6 x (7x6)/2] + [(7x6x5)/(3x2)]
= 105 + 126 + 35
n(E) = 266
Therefore, the probability P(E) that at least one of the junior partners is on the committee is given below:
P(E) = n(E) /n(S)
P(E) = 266/286
P(E) = 133/143
Answer:
1/13
Step-by-step explanation:
4 kings 52 cards in total
4/52=1/13
Answer: The numbers are -3 and 2
Step-by-step explanation: Let x be the first number and y be the second number
then according to given statements the linear equations will be:
"Four times a number minus twice another number is -16"
"The sum of the two numbers is -1"
From equation 2:
Putting y = -x-1 in equation 1
Subtracting 2 from both sides
Dividing both sides by 6
Putting x = -3 in equation 2:
Hence,
The numbers are -3 and 2
Answer:
-a+-2b+4c
Step-by-step explanation:
Combine like terms
-4a+ 3a= -a
b+ -3b= -2b
3c+ c= 4c
