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dexar [7]
3 years ago
12

Least to greatest -3/8,5/16,-0.65,2/4

Mathematics
1 answer:
irga5000 [103]3 years ago
6 0

Answer:

-0.65, -3/8, 5/16, 2/4

Step-by-step explanation:

-3/8 = -.375

5/16 = .3125

2/4 = .50

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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
3 years ago
What fraction is represented by the portion of the figure that is NOT shaded? (2 out of 10 are shaded)
OverLord2011 [107]

Well let's see.

If the figure is split up into 10 pieces, then
each piece is  1/10  of the whole figure.

If  2  of the pieces are shaded, then
2/10  of the whole figure is shaded.

How many pieces are left ?

There were 10 pieces all together, and
2 of them are shaded.  Hmmm.  I think
there are probably  (10 - 2) = 8  of them left
that are not shaded.

8 pieces makes  8/10  of the whole figure.

8 0
3 years ago
How can you use a point on the graph of f –1(x) = 9x to determine a point on the graph of f(x) = log9x?
Anastasy [175]

Whenever you can invert a function, you have that the graphs of f(x) and its inverse f^{-1}(x) are reflected with respect to the line y=x

So, given any point on the graph of f^{-1}(x), you can simply swap its coordinates to get the correspondent point on the original function f(x)

As an example, all exponential functions pass through the point (0,1), while all the logarithmic functions pass through the point (1,0)

6 0
3 years ago
Read 2 more answers
Find the Missing Angles. (1 2 3 and 4)​
kicyunya [14]

Answer:

1=51°

2=18°

3=123°

4=39°

Step-by-step explanation:

3 0
3 years ago
If a point at (3,-4) is reflected over the X-axis to form a new point What will be the coordinate of the new point? (-3,-4), (3,
ira [324]

Answer:

(3,4) because only the y would change when it is being reflected over the x axis :)

Step-by-step explanation:

5 0
3 years ago
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