Answer:
It's 14 pts total.
Step-by-step explanation:
He started out with 8. Then he answered 3 more questions that were 2 pts each. If you do 3x2, that would =6. Add 6 and 8, and you get 14!
Answer:12.5 seconds
Step-by-step explanation:hconsidering Runner 1 with a speed of 10m/s
and Runner 2 with a speed of 4 m/s
the equation of displacement for a uniform movement is
x=V*t
so x1=V1*t
and x2=V2*t
and the problem condition is x2=x1+75m
so we proceed to solve the equations.
from equation 2 t=x2/V2
substituting in equation 1 we have
x1=V1(x2/V2) and then the 3 equation
x1=V1((x1+75m)/v2
finally x1=75*(V1/(V2-V1)) =75*(10/(10-4))=125m
then t=(x1/v1)=125/10=12.5 seconds
Answer:
0.5 ; 0.475 ; 0.689 ; 0.4013
Step-by-step explanation:
Given that:
Rate of production of defective batteries p = 0.05
Number of batteries produced (n) = 10
The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries
Variance of defective batteries :
Var(X) = n * p * q ; q = 1 - p
Hence,
Var(X) = 10 * 0.05 * 0.95 = 0.475
Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689
Probability that atleast 1 battery is defective :
Using the binomial probability function
P(x ≥ 1) = 1 - p(x = 0)
= 1 - q^n
= 1 - 0.95^10
= 1 - 0.59873693923837890625
= 0.40126306076162109375
= 0.4013
If the slope is 6/11 then, in y=mx+b form, m will be 6/11. When you multiply 6/11 and -1 you get -6/11. To get the y (-6), you have to add -60/11. So in, y=mx+b form the equation is y=6/11x+(-60/11). To make it standard form, you add negative 6/11x to both sides and then multiply by 11 to get rid of the fractions. So therefore the equation would be:
-6x + 11y = - 60
Answer:
30% discount
Step-by-step explanation:
(35 - 24.50) / 35 * 100% = 30%
