Answer: the return trip took approximately 4 hours.
Step-by-step explanation:
Erica and her friends rode a train to get to their vacation destination. The time that it took them to get to their vacation destination is 5 hours.
The return trip was only 5/6 of the time of the original trip. Therefore, the time that they spent on the return trip would be
5/6 × 5 = 25/6 = 4.16667
Rounding up to the nearest whole number, it becomes 4 hours
m=-1 (-3,9)
point slope form
y-y1=m(x-x1)
y-9 = -1(x- (-3))
y-9 = -1 (x+3)
distribute
y-9 = -x -3
add 9
y=-x+6
it is now is slope intercept form
Answer:
Part 1) ∠MJK and ∠PJR have a unequal measures
Part 2) ∠KJL and ∠MJL have a unequal measures
Part 3) ∠LJP and ∠NJR have a equal measures
Part 4) ∠MJP and ∠PJR have a equal measures
Part 5) ∠KJR and ∠MJP have a unequal measures
Step-by-step explanation:
Part 1) ∠MJK and ∠PJR
we have that
Observing the figure
∠MJK=90°
∠PJR=48°+46°=94°
therefore
∠MJK and ∠PJR have a unequal measures
Part 2) ∠KJL and ∠MJL
we have that
Observing the figure
∠KJL=42°
∠MJL=90°-42°=48°
therefore
∠KJL and ∠MJL have a unequal measures
Part 3) ∠LJP and ∠NJR
we have that
Observing the figure
∠LJP=48°+46°+48°=142°
∠NJR=48°+48°+46°=142°
therefore
∠LJP and ∠NJR have a equal measures
Part 4) ∠MJP and ∠PJR
we have that
Observing the figure
∠MJP=46°+48°=94°
∠PJR=46°+48°=94°
therefore
∠MJP and ∠PJR have a equal measures
Part 5) ∠KJR and ∠MJP
we have that
Observing the figure
∠KJR=90°+46°+48°+48°+46°=278°
∠MJP=46°+48°=94°
therefore
∠KJR and ∠MJP have a unequal measures
Answer:
45,000
Step-by-step explanation:
If P=45,000−1,000m,
where P=The number of people left in the stadium m minutes after the end of the game
We want to determine how many people were present when the game ended but before people started to leave.
Note that immediately the game ended,
m=0
Therefore, the number of people left in the stadium
P=45000−(1000 X 0)
P=45000
There were 45,000 people.
Answer: 0.2501
Step-by-step explanation:
Given : The proportion of the bulbs in the lot are defective = 20%= 0.20
Sample size : n =15
Let x be the binomial variable that represents the defective bulbs.
Binomial probability formula :
The probability that exactly 3 bulbs from the sample are defective : P(X=3)
Required probability = 0.2501