Answer:
x = 17 and y = 10
Step-by-step explanation:
ABCD is a parallelogram
So AB = CD and AD = BC
so
3x - 9 = 42
3x = 51
x = 17
and
4y - 3 = 37
4y = 40
y = 10
Answer
x = 17 and y = 10
Answer:
C
Step-by-step explanation:
i took the test
Answer:
Step-by-step explanation:
We know that:
Only employees are hired during the first 3 days of the week with equal probability.
2 employees are selected at random.
So:
A. The probability that an employee has been hired on a Monday is:
.
If we call P(A) the probability that 2 employees have been hired on a Monday, then:
B. We now look for the probability that two selected employees have been hired on the same day of the week.
The probability that both are hired on a Monday, for example, we know is . We also know that the probability of being hired on a Monday is equal to the probability of being hired on a Tuesday or on a Wednesday. But if both were hired on the same day, then it could be a Monday, a Tuesday or a Wednesday.
So
.
C. If the probability that two people have been hired on a specific day of the week is 
, then the probability that 7 people have been hired on the same day is:
D. The probability is 
. This number is quite close to zero. Therefore it is an unlikely bastate event.
Answer:
Option B is correct
Left 1 unit.
Explanation:
According to the graph theory of transformation:
y = f(x+k)=
Given the parent function: 
and the function 
we can write it as:
g(x)= 
[ ∴
]
Therefore, vertex of the graph of the function 
is 1 units to the left of the vertex of the graph of the function .
Answer: Running speed is 10k/h
Biking speed is 50k/h
Step-by-step explanation:
My procedure may be unconventional, but it works:
Compute the time it takes, then translate to speed. 25k at biking speed takes 2 hours less than at running speed which is 1/5 bike speed.
Distance/speed = time 25/x=25/(5x-2) cross multiply divisors
25(5x-2) = 25x ==> 125x -50 =25x ==> 100x = 50
x = 0.5 hours at biking speed 25k/0.5h = 50k/h
Running speed = 50/5 10k/h
Proof: 25k/ 10k/h = 2.5 hours
25k /50k/h = 0.5 hours
2.5 h - .5 h = 2 hours, the difference stated in the question.
