Answer:
The scale factor is 1.5! I hope this helps!
Answer:
It can
Step-by-step explanation:
The sum of two lengths have to be greater than the other one in order to be a triangle. At first glance you can see 24+32 is greater than 40, 40+32 is greater than 24 and 24+40 is greater than 32.
W= width
L= length= 2W-4
Perimeter= 70
FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W
FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22
CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70
ANSWER:
length= 22 inches
width= 13 inches
Hope this helps! :)
Answer:
Step-by-step explanation:
Since the number of points per game for a certain basketball player is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = number of points per game
µ = mean
σ = standard deviation
From the information given,
µ = 14 points
σ = 2 points
The probability that in a randomly selected game, the player scored more than 8 points is expressed as
P(x > 8) = 1 - P(x ≤ 8
For x = 8,
z = (8 - 14)/2 = - 3
Looking at the normal distribution table, the probability corresponding to the z score is 0.00135
P(x > 8) = 1 - 0.00135 = 0.9987
Converting to percentage, it becomes
0.9987 × 100 = 99.87%
