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r-ruslan [8.4K]
3 years ago
7

An environmental journal discussing current water usage within us reports a 95% confidence interval of (82,88) for the average n

umber of household gallons used per person per day . the study was based on a random sample of 30 individuals throughout the nation. determine the average useage of the 30 individuals sampled
Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0

Answer:

The average useage of the 30 individuals sampled is 85 gallons per day

Step-by-step explanation:

A confidence interval has two bounds, the lower bound and the upper bound.

A confidence interval is symmetric, which means that the sample mean is the halfway point between these two bounds, that is, the sum of them divided by two.

In this problem, we have that:

Lower bound: 82

Upper bound: 88

Determine the average useage of the 30 individuals sampled

(82 + 88)/2 = 85

The average useage of the 30 individuals sampled is 85 gallons per day

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3 to 5 feet is the ratio in lowest form
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Using the quadratic formula to solve x2 = 5 – x, what are the values of x?
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Answer:

x²=5-x

x²+x-5=0

1x²+1x²-5=0

[ax²+bx²+c=0]

∆=b²-4ac

∆=1²-4(-5)(1)=1+20=21

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4 0
2 years ago
The author received a total of $195,000 for the book sales. How many hardcover books were sold? Type in numbers only.
g100num [7]

Answer:

Total 390 hardcover books were sold

Step-by-step explanation:

Complete question

The author received a total of $195,000 for the book sales. How many hardcover books were sold if the cost of one hardcover book is  $500. Type in numbers only.

Solution

Given-

Total value of sale of hard cover = $195,000

Cost of one hardcover book = $500

Number of books sold = Total value of sale of hard cover/Cost of one hardcover book

Number of books sold =   $195,000/$500

Number of books sold = 390

Total 390 hardcover books were sold.

3 0
3 years ago
Help and explain explain !!!!!!!!!!
tigry1 [53]

Answer:

x=-1\text{ or }x=11

Step-by-step explanation:

For a=|b|, we have two cases:

\begin{cases}a=b,\\a=-b\end{cases}

Therefore, for 18=|15-3x|, we have the following cases:

\begin{cases}18=15-3x,\\18=-(15-3x)\end{cases}

Solving, we have:

\begin{cases}18=15-3x, -3x=3, x=\boxed{-1},\\18=-(15-3x), 18=-15+3x, 33=3x, x=\boxed{11}\end{cases}.

Therefore,

\implies \boxed{x=-1\text{ or }x=11}

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The answer is B. Carlos worked two hours and earned $20
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