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Arisa [49]
2 years ago
6

Consider the following equivalent expressions: 38÷1312 and 38⋅ab. What are the values of a and b? Give the value of a followed b

y the value of b, separated by a comma. The value of a and the value of b should be the smallest possible non-negative whole number for each. nothing
Mathematics
1 answer:
yKpoI14uk [10]2 years ago
7 0

Answer:

The values of a and b are {12,13}

Step-by-step explanation:

As,

\frac{\frac{3}{8}}{\frac{13}{12}}=\frac{3}{8}\frac{a}{b}

We convert the division into a multiplication by inverting the denominator

\frac{3}{8}}\frac{12}{13}=\frac{3}{8}\frac{a}{b}

Therefore, the smallest possible non-negative whole numbers for a and b could be are 12 and 13, respectively.

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Use the Pythagorean theorem to classify the triangle formed by the three fences. Which is true about the numbers 5, 12, and 13?
Alexxandr [17]
The numbers 5, 12 and 13 can be used to correctly identify the sides of a right triangle, and this can be proven by using the Pythagorean Theorem.  

5² + 12² = 13²
25 + 144 = 169
169 = 169

5 and 12 are the legs, and 13 is the hypotenuse. Hopefully this is what the question is asking. :)
3 0
2 years ago
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There are 3 identical wooden blocks that are 50 inches long, 5 inches wide and 3 inches thick. If you glue them together, what i
finlep [7]

Answer:

336 inches of surface area

Step-by-step explanation:

The explanation is the picture.  I hope this answers your question.

4 0
2 years ago
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Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to
RUDIKE [14]

Answer:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75

And for the margin of error we have the following estimation:

ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62

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

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75

And for the margin of error we have the following estimation:

ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62

5 0
2 years ago
Barry also looks into the cost of repaying an easy access loan for $1000. The up-front cost of the loan is $3 for every $20 borr
natta225 [31]

Answer:

Barry has to pay back $1150

Step-by-step explanation:

We can set up an equation to help solve this problem

x is the amount he has to pay back

x=1000+3(1000/20)

1000/20 lets us know how many times he borrowed 20 dollars

x=1000+3(50)

x=1000+150

x=1150

Barry has to pay back $1150

3 0
2 years ago
What’s the domain and range?<br><br> An airplane travels at 565 mph.
viktelen [127]

Answer:

<u>Domain:</u>

The domain of this can be any value between 0 to 565 miles per hour

<u>Range:</u>

The reasonable range can be the distance traveled which can be from 0 to 13,560 miles (no plane travel is longer than 24 hours, we assume).

Step-by-step explanation:

Domain is the input, set of x values for the function.

Range is the output, set of y values for the function.

This isn't a function essentially, but it is given that an Airplane travels at 565 miles per hour.

<em>We can say that the domain will be the speed of the airplane and the range would be the distance it travels.</em>

<em />

<u>Domain:</u>

The domain of this can be any value between 0 to 565 miles per hour

<u>Range:</u>

The reasonable range can be the distance traveled which can be from 0 to (565*24=13,560 miles) 13,560 miles (no plane travel is longer than 24 hours, we assume).

4 0
2 years ago
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