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mojhsa [17]
3 years ago
6

A company had an 8% increase in profits in July. If the July profits were

Mathematics
2 answers:
Talja [164]3 years ago
8 0
Your answer should be “A. $55,555” If u need an explanation or equation I can give one!
vovikov84 [41]3 years ago
5 0

Answer:

A- $55k

Step-by-step explanation:

common sense if there was in increase by only 8% that the only logial answer that would be the A- : $4444 when you multiply 8% of 55,555

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150-(2+x)^3 when x equals 2
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Answer:

86

Step-by-step explanation:

150 - (2 + x)³

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=> 150 - 64

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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)

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multiply negative 1 over 6 multiplied by negative 1 over 5. negative 1 over 11 negative 1 over 30 1 over 30 1 over 11
garik1379 [7]
-1/6 x (-1/5) = 1/30
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