Answer:
Surface area of square pyramid =
Step-by-step explanation:
Let, b is the base edges and s is the slant height
According to given condition:
b = 5 cm
s = 3 cm
Find out:
Surface area of square pyramid = ?
Formula:
Surface area of square pyramid = 
Solution:
Surface area of square pyramid = 
Surface area of square pyramid = 
Surface area of square pyramid =
Surface area of square pyramid =
Answer: .....
Step-by-step explanation:
Answer:
a) 0.0025
b) 0.9975
c) 23.03 minutes
d) 23.03 minutes
Step-by-step explanation:
Let X be the random variable that measures the time waited for a taxi.
If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is
a)
1 hour = 60 minutes, so the probability that you wait longer than one hour is
b)
Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes
c)
We want x so that
P(X>x)=0.1
d)
We want P(X<x)=0.9

Answer:
State income tax: 
Step-by-step explanation:
Based on the interface, it seems like you have chosen lawyer as a career with the given salary of $115,820.
The chart given for state income tax is broken into two categories:
$21,400-$80,650 => 6.45%
$80,651-$215,400 => 6.65%
Since the chosen career's salary is $115,820, the career falls into the second range of 6.65% state income tax.
The deduction is simply the amount of money taxed. For a 6.65% state income tax, the deduction can be found from:

Answer:
Step-by-step explanation:
In order to figure out how much money was left in the account after the interest was withdrawn, we have to first find out how much money was initially deposited to earn that amount of interest! The means to find that initial investment is found in the simple interest formula
prt = I, where
p is the initial investement,
r is the interest rate in decimal form,
t is the time in years, and
I is the interest earned. Notice that we have all those things but the p.
Filling in:
p(.0425)(4) = 2380 and
.17p = 2380 so
p = 14000
That means that 14000 was initially invested. If the depositor withdrew the 2380, then
14000 - 2380 is the amount left in the account, namely, $11620