3. Reasoning Ben says that n = 5 is the solution of the equation 7n = 45. How can you check whether Ben is correct?
1 answer:
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The dimensions of the map are 8 feet × 4 feet
Step-by-step explanation:
Step 1; It is given that the perimeter of the map is 24 feet while the area is 32 square feet. The map is in the shape of a rectangle so we need to calculate its length and its width of this rectangle. The area of any particular rectangle is given by the multiplication of its length with width. The perimeter is given by double the value of the sum of its length and width.
Step 2; Equating these we get
Perimeter = 2 (l + w) = 24 feet
Area = l × w = 32 feet.
From the perimeter formula, (l + w) = = 12
So we have (l + w) = 12 while l × w = 32.
Step 3; Possible values of l and w are
(1 ,11), (2, 10), (3, 9), (4, 8), (5, 7), (6, 6), (7, 5), (8, 4), (9, 3), (10, 2) and (11, 1).
Out of these possibilities only (4, 8) and (8, 4) give a product of 32 but since l is greater than w we have the value of l as 8 feet while w is 4 feet.
Using the normal distribution, it is found that the correct option is:
- P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- Mean of 20 ounces, hence
.
- Standard deviation of 2.3 ounces, hence
P(Y < 16) is the <u>p-value of Z when X = 16</u>, hence:
has a p-value of 0.041.
This is valid for the entire population, hence, the correct interpretation is:
- P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces
A similar problem is given at brainly.com/question/24663213