Answer:
15 ≤ w ≤ 19
Step-by-step explanation:
Given that :
Length of garden = 14 feets
Perimeter must be atleast 58 but no more than 66
The range of value for the width ;
Perimeter = 2 length + 2 width
Perimeter = 2(14) + 2w
If perimeter = 58
58 = 28 + 2w
58 - 28 = 2w
30 /2 = w
w = 15
If perimeter = 66
66 = 28 + 2w
66 - 28 = 2w
38 = 2w
w = 38 / 2
w = 19
Range of the width should be atleast 15 and not more Than 19
Hence,
15 ≤ w ≤ 19
Answer: The area is
+ 18w
Step-by-step explanation:
We could represent the length of the yard by l = w+18 and the width as w .
And to find the area we will have to multiply the length by the width.
A= w(w+18 ) multiply
A=
+ 18w
Answer:
105 miles
Step-by-step explanation:
Using the normal distribution, there is a 0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean
and standard deviation
, as long as
and
.
The proportion estimate and the sample size are given as follows:
p = 0.45, n = 437.
Hence the mean and the standard error are:
The probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3% is <u>2 multiplied by the p-value of Z when X = 0.45 - 0.03 = 0.42</u>.
Hence:

By the Central Limit Theorem:

Z = (0.42 - 0.45)/0.0238
Z = -1.26
Z = -1.26 has a p-value of 0.1038.
2 x 0.1038 = 0.2076.
0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.
More can be learned about the normal distribution at brainly.com/question/28159597
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Answer:
Step-by-step explanation:
10x+ 150=220 is the equation for the second plan you subtract 150 from 220 to get 70 and divide that by 10 and you get 7 which is the number of weeks it'll take
220/25=x
So for this one it'll take 8.8 weeks to get enough money and you divide 220 by the amount which is 25 to get 8.8 the number of weeks I'll take
I dont understand what the second one is asking so sorry dude but I think that's right