Answer:the z score is - 1
Step-by-step explanation:
Assuming a normal distribution for the delivery time of sandwiches by Sammy's Sandwich Shop. We would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = delivery times
u = mean delivery time
s = standard deviation
From the information given,
u = 25 minutes
s = 2 minutes
We want to determine the z-score for the number of sandwiches delivered in less than 23 minutes. It becomes
z = (23 - 25)/2 = - 1
Answer:
Jo's age = x = 8 years
Step-by-step explanation:
Let
Jo's age = x
Jo's mother, Anne's age = 4x
In four years time, Anne will be three times as old as Jo.
Jo's age =3( x + 4)
Jo's mother, Anne's age = 4x + 4
How old is Jo?
Equate Jo's age and his mother's age
3(x + 4) = 4x + 4
3x + 12 = 4x + 4
3x - 4x = 4 - 12
-x = - 8
Divide both sides by -1
x = 8
Therefore,
Jo's age = x = 8 years
Answer:
Step-by-step explanation:
how many baskets does john have?
<h3>
Answer:</h3>
D) 4 cm, 3 cm
<h3>
Step-by-step explanation:</h3>
Let x represent the length of "another" side. Then "one side" can be represented by (2x -5 cm).
The perimeter of the kite is the sum of two sides of each length:
... P = 14 cm = 2(x) + 2(2x -5 cm)
Dividing by 2 and collecting terms, we have ...
... 7 cm = 3x -5 cm
... 12 cm = 3x
... 4 cm = x . . . . the length of "another" side
... 2(4 cm) -5 cm = 3 cm . . . . the length of "one side"
The two different side lengths are 4 cm and 3 cm.
Answer:
a) The present value is 688.64 $
b) The accumulated amount is 1532.60 $
Step-by-step explanation:
<u>a)</u><u> The preset value equation is given by this formula:</u>

where:
- T is the period in years (T = 10 years)
- r is the annual interest rate (r=0.08)
So we have:
Now we just need to solve this integral.

The present value is 688.64 $
<u>b)</u><u> The accumulated amount of money flow formula is:</u>

We have the same equation but whit a term that depends of τ, in our case it is 10.
So we have:
The accumulated amount is 1532.60 $
Have a nice day!