Answer:
About 300 of every 1,000 cars assembled should have one or more defects
Step-by-step explanation:
From the sample of 100 cars, we can estimate the total number of defective cars, using a rule of three.
In this question:
For each 100 cars, 30 defective.
How many defective for 1000?
100 cars - 30 defective
1000 cars - x defective
Simplifying by 100
About 300 of every 1,000 cars assembled should have one or more defects
Answer:
c Yes, because 5/4 > 1
Step-by-step explanation:
5/4 × 6 > 6
5/4
= 1 1/4
5/4 is greater than 1
5/4 > 1
5/4 × 6
= 30/4
= 15/2
= 7 1/2
a No, because 5/4 < 1
b No, because 5/4 < 6
c Yes, because 5/4 > 1
d Yes, because 5/4 > 6
Therefore,
5/4 × 6 > 6 is true
Answer:
If a substance cannot be separated by physical means or chemical means, it is an element.
Answer:
a) the radius of the balloon increases at a rate of 5.42 in/s
b) the surface area of the balloon increases at a rate of 3 in²/s
Step-by-step explanation:
a) since the volume of a sphere V is
V= 4/3*π*R³
where R= radius , then the rate of change of the volume is
V' = dV/dR= 4*π*R²
using the chain rule
dV/dt = dV/dR*dR/dt
thus
k = 4*π*R² * dR/dt
dR/dt = k/(4*π*R²)
replacing values
dR/dt = k/(4*π*R²) = (33 in³/s) /(4*π*(22 in)²] = 5.42 in/s
then the radius of the balloon increases at a rate of 5.42 in/s
b) since the surface area is
S=4*π*R²
then
S' = dS/dR= 8*π*R
and
dS/dt = dS/dR*dR/dt = 8*π*R * k/(4*π*R²) = 2*k/R
replacing values
dS/dt = 2*k/R = 2*(33 in³/s)/( 22 in) = 3 in²/s
then the surface area of the balloon increases at a rate of 3 in²/s
I think she’ll have 1 left I DONT KNOW I did some work on my paper but I’m as confused as you