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statuscvo [17]
2 years ago
8

Healthy Grains is an organic food company that makes several different kinds of trail mix. The company's Sweet and Salty trail m

ix includes dark chocolate and almonds, and it comes in different-sized packages. There is a proportional relationship between the amount of dark chocolate (in ounces), x, and the amount of almonds (in ounces), y, in each package of Sweet and Salty trail mix.
A package that contains 7 ounces of dark chocolate also contains 14 ounces of almonds. Write the equation for the relationship between x and y.
Mathematics
1 answer:
Neko [114]2 years ago
8 0

Answer:

y=4x

Step-by-step explanation:

Two variables have a proportional relationship if the ratio of one variable to the other is constant.

A proportional relationship between x and y can be modeled by the equation y=kx.

The letter k is the constant ratio of y to x. It is called the constant of proportionality.

The ratio for each pair of x- and y-values is 4. So, the variables have a proportional relationship.

So, the constant of proportionality is 4 ounces of almonds per ounce of dark chocolate.

The equation for the relationship is:

y=4x

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The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
2 years ago
1) The table and graph shows the relationship between GPA, X, and SAT score, y.
Artist 52 [7]

The statement (A), statement (B), statement (D) are correct because the equation is y = 437.9x + 439.4

<h3>What is the line of best fit?</h3>

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

From the data given, we can calculate the correlation coefficient, slope of the line, and y-intercept.

r = 0.90

Since r is close to 1 shows a strong correlation.

Slope of the line of best fit = 437.9

Y-intercept of line of the best fit = 439.4(Refer to the attached picture)

The line will be:

y = 437.9x + 439.4

Thus, the statement (A), statement (B), statement (D) are correct because the equation is y = 437.9x + 439.4

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

6 0
1 year ago
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