Bobby is hanging a cabinet above the washer and dryer in the laundry room. The cabinet is 3 1/2 feet wide and 2 feet tall. If he
wants to center the cabinet horizontally on the wall that is 6 1/4 feet wide, how far will the end of the cabinet be from the edge of the wall?
1 answer:
Answer:
1 3/8 ft.
Step-by-step explanation:
<em>The cabinet's center will be at the same place as the wall's center</em>. The wall's center is at its <em>3 1/8 ft mark</em>. The cabinet's center will also be at the wall's 3 1/8 mark. This means that both sides of the cabinet is <em>1 3/4 around the center line</em> (if my wording is vague, look at the image). So, we have to find <em>3 1/8 - 1 3/4</em>, which is 1 3/8 ft.
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Answer:
Therefore, the mean monthly payment is $1137.15.
Step-by-step explanation:
What is Normal Distribution?
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
We are asked to find the mean monthly social security (OASDI) payment.
Mean monthly payment = μ = ?
We are given that the standard deviation is $116
One-fourth of payments are above $1214.87
One-fourth means 25%
From the z-table, the z-score corresponding to 0.75 is found to be 0.67
The mean is found by
Where
x = $1214.87
z = 0.67
σ = $116
Therefore, the mean monthly payment is $1137.15.