Step-by-step explanation:
Let's call x the lenght and y the height. The perimeter will be:
p = 2x + 2y = 10
When the lenght is halved and the height double we'll have:
p = x + 4y = 14
These 2 equations form a system of equations2 that can be solved and give as result:
y = 3
x = 2
Answer:
Step-by-step explanation:
After 3 hours, Spike charges 6 dollars per hour. For 3 hours, the charge is only $5×3 = $15 (which is $3 less than $6×3). So the rate after 3 hours can be modeled by ...
s(h) = 6h -3
For 8 hours, s(8) = 6·8 -3 = 45 . . . . dollars
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After 4 hours, Main Deck charges 8 dollars per hour. For 4 hours, the charge is only $18 (which is $14 less than $8×4). So the rate after 4 hours can be modeled by ...
m(h) = 8h -14
For 8 hours, m(8) = 8·8 -14 = 50 . . . . dollars
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For 8 hours, the $45 charge at Spike's is $5 less than the $50 charge at Main Deck.
Answer:
P(z>1.3) = 0.9032
Step-by-step explanation:
We are given:
Mean = 5000
Standard deviation = 1000
x = 6300
P(x>6300)=?
z-score =?
z-score = x- mean/standard deviation
z-score = 6300 - 5000/1000
z- score = 1300/1000
z-score = 1.3
So, P(x>6300) = P(z>1.3)
Looking at the z-probability distribution table and finding value:
P(z>1.3) = 0.9032
So, P(z>1.3) = 0.9032
Answer: -207
Step-by-step explanation:
Answer:
x = 27
Step-by-step explanation:
Given
= 3
Multiply both sides by 9 to clear the fraction
x = 9 × 3 = 27
