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anzhelika [568]
2 years ago
8

Nolan began with $20 in his bank account and spent $2 each day. The line models the amount of money in his bank account. He inco

rrectly wrote an equation for the line in slope intercept form as y equals negative 2x + 10.
What is the correct equation for the line in slope intercept form?

What mistake might Nolan have made?​
Mathematics
1 answer:
tester [92]2 years ago
7 0

Answer:

y=-2x+20

Step-by-step explanation

The slope is determined with the "spent $2 each day" which translates to -2x and the y intercept should be how much money he started with($20). It looks like Nolan divided 20/2 to get 10, which would be how many days until he would have no money. Hope this helps!

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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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2 years ago
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Travka [436]

Answer:

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Step-by-step explanation:

12/6 is 2 and the the exponents when you are dividing you just subtract. so 9-3 = 6 which makes it x^6.

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3 years ago
What is the unit cost of $9 for $56.07
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Answer:

Hmm.. I'm stumped

Step-by-step explanation:

Just here to say you can do it without brainly, you're smart!

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