Answer:
y=x+4
Step-by-step explanation:
Slope is positive and it goes up by 1 so it is just 1 and the y-intercept is 4 so it is y=x+4
Answer: the probability that John’s drive to work will take between 36 and 40 minutes is 0.32
Step-by-step explanation:
Since the distribution of driving times is approximately normal, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = driving times.
µ = mean time
σ = standard deviation
From the information given,
µ = 38 minutes
σ = 5 minutes
The probability that John’s drive to work will take between 36 and 40 minutes is expressed as
P(36 ≤ x ≤ 40)
For x = 36,
z = (36 - 38)/5 = - 0.4
Looking at the normal distribution table, the probability corresponding to the z score is 0.34
For x = 40,
z = (40 - 38)/5 = 0.4
Looking at the normal distribution table, the probability corresponding to the z score is 0.66
Therefore,
P(36 ≤ x ≤ 40) = 0.66 - 0.34 = 0.32
Well the formula to solve for the volume of a right circular cylinder would be, V=πr2h. For the radius, the number inserted into the formula would be half of the diameter measurement. Therefore, the radius would be 3 m. As for the height measurement, the number would remain the same of 5m. Once all figures are applied to the formula: V=π(3^2)(5), the answer could then be rounded either to the tenths or hundredths depending on what your teacher asks for. The answer in the end would come down to approximately 141.37 meters cubed.
Science = 14 x 6 = 84
so equation
y = 12x + 84
your answer is correct
Answer:
50; 72; 8; 57.9
Step-by-step explanation:
1. sqrt((30/2)^2 + (20)^2) = sqrt(15^2 + 20^2) = sqrt(225 + 400) = sqrt(625) = 25 (radius) * 2 = 50 (diameter)
2. 360 (degrees in a circle)/5 (sides in a pentagon) = 72 degrees
3. 360 (degrees in a circle)/x (sides) = 45 --> 360/45 = x --> 8 sides = x
4. sqrt(7^2 + (12/2)^2) = radius --> sqrt(49 + 36) --> sqrt85 * 2pi = circumference --> 57.9281062 = circumference --> 57.9