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1 year ago

I don't understand would this be a linear function,quadratic function,or exponential function

Mathematics

1 answer:

Vaselesa [24]1 year ago

4 0

In the given figure there are 3 graphs

The line represents a linear function

$h(x)=x+2$

The parabola represents a quadratic function

$g(x)=2.5x^2+2x$

The third graph which approaches to the negative part o the x-xis is the exponential function

$f(x)=2^x$

The x-intercept of the line is (-2, 0)

x-intercept means intersect the x-axis at point (-2, 0)

There is only one graph that intersects the x-axis at (-2, 0)

It is the line, the linear function h(x)

The range is between 0 to infinity (0, ∞)

The range is the values of y

There is only one graph that has all values of y over the x-xis

it is f(x) the exponential function

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3 years ago

A catering company provides packages for weddings and for showers. The cost per person for small groups

Tomtit [17]

Using the <em>normal distribution and the central limit theorem</em>, it is found that the probability the mean cost of the weddings is more than the mean cost of the showers is of 0.9665.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

When two variables are subtracted, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances.

<h3>What is the mean and the standard error of the distribution of differences?</h3>

For each sample, they are given by:

$\mu_W = 82.3, s_W = \frac{18.2}{\sqrt{9}} = 6.0667$

$\mu_S = 65, s_S = \frac{17.73}{\sqrt{6}} = 7.2382$

For the distribution of differences, we have that:

$\mu = \mu_W - \mu_S = 82.3 - 65 = 17.3$

$s = \sqrt{s_W^2 + s_S^2} = \sqrt{6.0667^2 + 7.2382^2} = 9.4444$

The probability the mean cost of the weddings is more than the mean cost of the showers is P(X > 0), that is, <u>one subtracted by the p-value of Z when X = 0</u>, hence:

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0 - 17.3}{9.4444}$

$Z = -1.83$

$Z = -1.83$ has a p-value of 0.0335.

1 - 0.0335 = 0.9665.

More can be learned about the <em>normal distribution and the central limit theorem</em> at brainly.com/question/24663213

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2 years ago

A party planner is making gift bags for an event. He has 96 pencils,

Yuliya22 [10]

Considering the greatest common divisor, you obtain:

the greatest number of gift bags that the party planner can make is 12.
the number of each item present in each bag is 8 pencils, 3 erasers and 2 pencil toppers.

<h3>Greatest common divisor </h3>

The greatest common divisor is the largest number that exactly divides two or more numbers at the same time. That is, it is the largest number by which two or more numbers can be divided, resulting in a whole number.

A method to calculate the greatest common factor must follow the following steps: