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AysviL [449]
3 years ago
9

Jeremy bakes two pans of brownies that are the same size. One pan has nuts in it and the other pan does not. He cuts the pan wit

h nuts into 8 equal pieces. He cuts the pan without nuts into 16 equal pieces. His friends eat 2 brownies with nuts and 3 brownies without nuts. Did they eat more of the brownies with nuts or without nuts?
Mathematics
1 answer:
MAVERICK [17]3 years ago
5 0

Answer:

The answer is "\frac{2}{8} > \frac{3}{16} So, they eat more brownies with nuts".

Step-by-step explanation:

In the given question, the two browny pans of equal size are baked by Jeremy. There is indeed a saucepan with nuts in it, not the other pan. He split the pot into eight equal chunks with nuts. He slices the pan into 16 equal parts without nuts. His mates eat 2 nuts brownies and three nut-free brownies. They eat more nuts and brownies \frac{2}{8} > \frac{3}{16} eat more.

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What is the equation of this line
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Answer:

y = -\frac{4}{3}x + 4

Step-by-step explanation:

Use the slope-intercept form to write the equation if the line of the graph given.

y = mx + b, where,

b = y-intercept, which is where the line cuts across the y-axis = 4.

m = slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3}

Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:

y = mx + b

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3 years ago
2. What is the solution to the inequality<br> --4x &gt; 132? Show your work
laila [671]

Answer:

x < -33 ( mark me as the brainliest )

Step-by-step explanation:

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5 0
3 years ago
One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio
Bess [88]

Answer:

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X represent the sample mean for the sample  

\mu population mean

\sigma=60 represent the population standard deviation  

n represent the sample size (variable of interest)  

Confidence =95% or 0.95

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

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