Answer:
It will be $5 per square yard
Step-by-step explanation:
Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
Randy needs to purchase 1.49 Gallons of paint to cover 100 sq. feet wall.
What is the area of rectangle?
The area of a rectangle is the product of its length and width. That is, A = l x w where l is the length and w is the width of the rectangle.
Here, Required Paint = 
= 5 X 37 - 36
= 185 - 36
= 149
= 1.49 gallons
Thus, Randy needs to purchase 1.49 Gallons of paint to cover 100 sq. feet wall.
Learn more about Area of Rectangle from :
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For a binomial experiment in which success is defined to be a particular quality or attribute that interests us, with n=36 and p as 0.23, we can approximate p hat by a normal distribution.
Since n=36 , p=0.23 , thus q= 1-p = 1-0.23=0.77
therefore,
n*p= 36*0.23 =8.28>5
n*q = 36*0.77=27.22>5
and therefore, p hat can be approximated by a normal random variable, because n*p>5 and n*q>5.
The question is incomplete, a possible complete question is:
Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
Suppose n = 36 and p = 0.23. Can we approximate p hat by a normal distribution? Why? (Use 2 decimal places.)
n*p = ?
n*q = ?
Learn to know more about binomial experiments at
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Answer:
a. 13.7084 oz.
Step-by-step explanation:
Formula for Lower Control Limit =
(LCL = x-bar - A²R-bar)
x - bar = 14 oz
A2 = 0.729
R - bar = 0.4 oz
= 14 - 0.729 × 0.4
= 14 - 0.2916
= 13.7084oz
