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CaHeK987 [17]
2 years ago
11

What's the circumference of the earth

Mathematics
2 answers:
Vinil7 [7]2 years ago
6 0
The circumference of Earth is 24,901 miles
hram777 [196]2 years ago
6 0
24,901 is the Circumference of the earth
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Rewrite using a single positive exponent
Korolek [52]

Answer:

9³

Step-by-step explanation:

We need to find the value of \dfrac{9^5}{9^2}.

We know that,

\dfrac{x^a}{x^b}=x^{a-b}

Here, a = 5 and b = 2.

So,

\dfrac{9^5}{9^2}=9^{5-2}\\\\=9^3

So, the answer to the given expression is 9³.

7 0
2 years ago
Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam
Juli2301 [7.4K]

Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

Confidence level = 95%

Required Information:  

95% Confidence interval = ?

Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

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.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.  

The confidence interval is given by

CI = \bar{x} \pm MoE\\

Where \bar{x} is the mean and MoE is the margin of error given by

MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\

Where σ is the standard deviation, n is the sample size and z_{\alpha/2} is the z-score corresponding to 95% confidence level.

z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96

MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\

Finally, the confidence interval is

CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

3 0
2 years ago
2. You have just signed an annual contract with TELUS for a cell phone. The base rate is $22 per month and $0.44 per minute. The
Drupady [299]
Y=0.44x+22 would work I'm pretty sure
6 0
3 years ago
The data is shown below:
Marina CMI [18]

Answer:  72

Step-by-step explanation: Its in the middle

4 0
2 years ago
Please help me what is 1462 ÷ 58 as a mixed number then put it in simplest form
cestrela7 [59]
25.20, that might help you hopefully!
5 0
2 years ago
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