Answer:
3/4
Step-by-step explanation:
3x - 4y = 7.....subtract 3x from both sides
-4y = -3x + 7 ...now we divide both sides by -4
(-4/-4)y = (-3/-4)x + (-7/4)...simplify
y = 3/4x - 7/4
y = mx + b
y = 3/4x - 7/4.....so the number in the m position is 3/4 <== ur slope
Answer:
0.0143
Step-by-step explanation:
In this question, we are asked to use the binomial distribution to calculate the probability that 10 or fewer passengers from a sample of MIT data project sample were on American airline flights.
We proceed as follows;
The probability that a passenger was an American flight is 15.5%= 15.55/100 = 0.155
Let’s call this probability p
The probability that he/she isn’t on the flight, let’s call this q
q =1 - p= 0.845
Sample size, n = 155
P(X < A) = P(Z < (A - mean)/standard deviation)
Mean = np
= 125 x 0.155
= 19.375
Standard deviation = √npq
= √ (125 x 0.155x 0.845)
= 4.0462
P(10 or fewer passengers were on American Airline flights) = P(X \leq 10)
= P(Z < (10.5 - 19.375)/4.0462)
= P(Z < -2.19)
= 0.0143
Answer:
122
Step-by-step explanation:
(3)³ + 14(3²) - 7(3) - 10
122
Used remainder theorem
Answer:
120.39ft²
Step-by-step explanation:
Hopefully that helps :)
Answer:
The diameter decreases at a rate of 0.053 cm/min.
Step-by-step explanation:
Surface area of an snowball
The surface area of an snowball has the following equation:
In which d is the diameter.
Implicit differentiation:
To solve this question, we differentiate the equation for the surface area implictly, in function of t. So
Surface area decreases at a rate of 3 cm2/min
This means that 
Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.
This is 
when 
. So
The diameter decreases at a rate of 0.053 cm/min.
