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3 years ago

The table lists the results from a survey (of questionable accuracy) of adults and how much they spend on a night out.

Mathematics

2 answers:

BigorU [14]3 years ago

7 0

The <em>correct answer</em> is:

The correct scatter plot is attached.

There appears to be a negative correlation between a person's age and the amount they spend on a night out.

Explanation:

Age will be the independent variable, along the x-axis, and the cost of a night out will be the dependent variable, along the y-axis.

The ages range from a low of 20 to a high of 45. We will start our graph at 0 and use a scale of 5s along the x-axis, going to 45.

The amounts for a night out range from a low of 38 to a high of 58. We will start our graph at 0 and use a scale of 5s along the x-axis, going to 60.

We then plot each point as a coordinate of (age, amount spent).

Once we get the graph plotted, we see there is a negative trend in the data. As the age increases, the amount spent out decreases.

daser333 [38]3 years ago

3 0

You are going to make a graph. The x-axis will represent age while the y-axis represents the amount of money spent on a night out. Graph the ordered pairs, making a scatter plot. Once you have all of the points on the graph, answer the question by saying something like "the older someone is, the less money they spend on a night out" but make sure it's accurate. (:

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Which one should i pick?

Airida [17]

last one is the solution u should choose

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3 years ago

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Determine the slope of the line that contains the given points <br><br> J(-5, -2), K(5, −4)

Irina-Kira [14]

Answer:

$-\frac15$

Step-by-step explanation:

Hello!

We can utilize the slope formula to find the slope.

Slope Formula: $S = \frac{y_2-y_1}{x_2-x_1}$

Remember that a coordinate is written in the form (x,y)

<h3>Find the Slope</h3>

$S = \frac{y_2-y_1}{x_2-x_1}$
$S = \frac{-4-(-2)}{5-(-5)}$
$S = \frac{-2}{10}$
$S = -\frac15$

The slope of the line is $-\frac15$ .

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1 year ago

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For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.

Yakvenalex [24]

Answer:

$Sd(X) =\sqrt{1.2}=1.095$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=5, p=0.4)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The mean for the binomial distribution is given by:

$E(X) =np=5*0.4=2$

And the variance is given by:

$Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2$

And the deviation is just the square root of the variance so we got:

$Sd(X) =\sqrt{1.2}=1.095$

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3 years ago

Nimfa-mama [501]

Let's call our number <em>x</em>.

So we can setup the equation x² = 100.

To solve this equation, we square root both sides.

So we have x = ±10.

Always use plus or minus when square rooting both sides

of an equation so our answer is not only 10, it's also -10.

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3 years ago

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A box contains 20 red balls, 25 white balls, and 55 blue balls. Suppose that 10 balls are selected at random one at a time with

hoa [83]

Answer:

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Determine the probability that at least one color will be missing from the 10 selected balls.

Red missing:

Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:

(0.8)^10 = 0.1074

White missing:

55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:

(0.75)^10 = 0.0563

Blue missing:

45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:

(0.45)^10 = 0.0003

Total:

0.1074 + 0.0563 + 0.0003 = 0.164

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

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