Answer:
Step-by-step explanation:
Null hypothesis: u <= 3 minutes
Alternative hypothesis: u > 3minutes
Using a z test formula, z score is
z = (x - u) / (s/√n)
Where x = 3.1, u = 3, s = 0.5, n = 100
z = (3.1 - 3) / (0.5/√100)
z = (0.1) / (0.5/10)
z = 0.1/0.05
z = 2
To calculate for the p value assuming a 0.05 level of significance, the p value is 0.02275 which is less than 0.05. Thus we will reject the null and conclude that there is enough statistics evidence to show that the mean waiting time of all customers is significantly more than 3 minutes.
If 4x = 8x - 1 then 4x must be equivalent to 1. So that means x is .25 or 1/4.
Hope this helps!
(I assumed your trying to solve for x, please word the question better next time)
15 divided by 2 1/2
change 2 1/2 to improper fraction
(2*2 + 1)/2=5/2
15 divided by 5/2
copy dot flip
15 * 2/5
30/5
6
Answer = 6
Answer:
The price of one gallon of gasoline is $3.15
Step-by-step explanation:
If the lady buys 2.4 gallons of gasoline for a total of $7.56, then as the problem suggests, one can find the unknown price of gasoline per gallon (p) by solving the equation for the unknown "p":
2.4 p = 7.56
then divide both sides by 2.4 to isolate the unknown "" on one side of the equal sign:
p = 7.56/2.4
p = $3.15
so this is the price per gallon of gasoline.
Answer:
Compound interest amount=3,500 rupees
Step-by-step explanation:
The compound interest amount after a given number of years can be represented by the formula below;
Compound interest amount =A-P
where;
A=P(1+r/n)^nt=Future value of investment or loan
P=Initial value of investment or loan
r=Annual interest rate
n=Number of periods per unit time, t
t=Number of years the investment is compounded
In our case;
A=8,500
P=5,000
replacing;
Compound Interest=Total compounded amount after 3 years-Initial amount
Compound interest=(8,500-5,000)=3,500
Compound interest amount=3,500 rupees
