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Usimov [2.4K]
2 years ago
6

Dan and Kayla dined at a restaurant, and their bill was $29.74. They would like to leave a tip of approximately 15% of their bil

l. Which of the following is closest to this amount?
Mathematics
1 answer:
Zigmanuir [339]2 years ago
4 0

Answer:

The exact number is $4.461, so you can find the closest amount from the provided options.

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What does the slope of the line represent within the context of my graph
Nata [24]
The slope of the line is the velocity, or rate of change, of y with respect to x.  In other terms, the slope tells you how much y will change for every change in x by one unit.  For example if the slope, which is velocity, is 2.  y will increase by two units every time x increases by one unit.  Your graph is not pictured nor explained, so I cannot give you the specific context beyond the principle that the slope of a line is a constant velocity or rate of change.
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Georgie joins a gym. She pays $25 to sign up and then $15 each month. Graph it. Label the y-intercept,the slope, and your axes.
Firlakuza [10]
The first thing you should do for this case is to find the equation of the line that best suits the problem and then plot it.
 Let
 x: number of months
 y: amount paid.
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 y-intercept = 25
 the slope = 15
 answer
 Georgie pays (y axis) $ 15 dollars (the spole) monthly (x-axis) in the gym with a $ 25 registration (y-intercept)

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3 years ago
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A television station plans to ask a random sample of 400 city residents if they can name the news anchor on the evening news at
hodyreva [135]

Answer:

There is an 8.38% probability that the anchor will be fired.

Step-by-step explanation:

For each resident, there is only two possible outcomes. Either they can name the news anchor on the evening news at their station, or they cannot.

This means that the binomial probability distribution will be used in our solution.

However, we are working with samples that are considerably big. So i am going to aaproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

400 city residents are going to be asked. So n = 400.

Suppose that in fact 12% of city residents could name the anchor if asked. This means that p = 0.12.

So,

\mu = E(X) = 400*0.12 = 48

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{400*0.12*0.88} = 6.5.

They plan to fire the news anchor if fewer than 10% of the residents in the sample can do so.

What is the approximate probability that the anchor will be fired?

10% of the residents is 0.10*400 = 40 residents.

Fewer than 10% is 39 residents. So the probability that the anchor will be fired is the pvalue of Z when X = 39.

So:

Z = \frac{X - \mu}{\sigma}

Z = \frac{39 - 48}{6.5}

Z = -1.38

Z = -1.38 has a pvalue of 0.0838. This means that there is an 8.38% probability that the anchor will be fired.

5 0
3 years ago
Dont want to fail final exams lol pls help
aliya0001 [1]

Answer:

x = -2

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you have to multiply to remove the fraction, then set equal to 0

and solve.

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9 is the square root of 81

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