Answer:
k= -1
Step-by-step explanation:
To find k, use the points and the m =-7 in the slope formula:
Answer: 36
Step-by-step explanation:
One roll is of length = 9 feet
1 foot = 12 inches
9 feet = 12 *9 = 108 inches
Since there are 5 rolls
So, total length of 5 rolls = 108 * 5 = 540 inches
Since we are given that A seamstress needs to cut 15-inch pieces of ribbon from a roll of ribbon that is 9 feet in length.
We are supposed to find . What is the greatest number of 15-inch pieces the seamstress can cut from 5 of these rolls of ribbon
So, number of 15-inch pieces the seamstress can cut from 5 of these rolls of ribbon:
Hence the greatest number of 15-inch pieces the seamstress can cut from 5 of these rolls of ribbon is 36
Answer:
(g+f)(x)=(2^x+x-3)^(1/2)
Step-by-step explanation:
Given
f(x)= 2^(x/2)
And
g(x)= √(x-3)
We have to find (g+f)(x)
In order to find (g+f)(x), both the functions are added and simplified.
So,
(g+f)(x)= √(x-3)+2^(x/2)
The power x/2 can be written as a product of x*(1/2)
(g+f)(x)= √(x-3)+(2)^(1/2*x)
We also know that square root dissolves into power ½
(g+f)(x)=(x-3)^(1/2)+(2)^(1/2*x)
We can see that power ½ is common in both functions so taking it out
(g+f)(x)=(x-3+2^x)^(1/2)
Arranging the terms
(g+f)(x)=(2^x+x-3)^(1/2) ..
Answer:
0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.
Step-by-step explanation:
We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
A service center receives an average of 0.6 customer complaints per hour.
This means that 
, in which h is the number of hours.
Determine the probability that exactly four complaints will be received during the next eight hours.
8 hours means that 
.
The probability is P(X = 4).
0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.
1 meter = 100 cm. So 1 1/2 meters = 150 cm.
