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Natalija [7]
3 years ago
6

Evaluate the expression. -38 + 11 a. -27 b. -49 c. 49 d. 27

Mathematics
1 answer:
kiruha [24]3 years ago
8 0
The answer is a.) -27

subtract 11 from 38
27 keeps the negative sign because -38 is larger than 11
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2 You hang two strands of Decorative light strand one change color every 30 seconds straight to change every 45 seconds both str
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The two strands of Decorative light will shine at same time after every 15 seconds.

<h3>What is defined as the Highest common factor?</h3>
  • The greatest of all their common factors is the Highest Common Factor (HCF) of more than one number.
  • As a result, it is also known as the greatest common factor (GCF).
  • There isn't an exact formula for determining the greatest common factor of two numbers.
  • However, when considering prime factorization, we can write a statement that aids in evaluating the greatest common factor of more than one number.

The stated condition are-

The light strand one change color every 30 seconds.

The light strand second change color every 45 seconds.

Prime factorization of both number are;

30 = 2×3×5

45 = 3×3×5

The numbers with highest power are;

HCF(30, 45) = 3×5 = 15.

Thus, the time after which both the light strands will change colour at the same time is 15 seconds.

To know more about Highest common factor, here

brainly.com/question/219464

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8 0
1 year ago
Joey cut a 10.5 foot length rope into 6 pieces of equal length. How long was each piece?
Scorpion4ik [409]
1.75 feet each.
6* 1.75= 10.5
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8 0
3 years ago
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60+25x=35x+20 write real world situation
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Look at the picture hopefully it helps at least a little.

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3 years ago
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An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6
nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

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".  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma=1.6)  

And the distribution for \bar X is:

\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})  

We know that the margin of error for a confidence interval is given by:  

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

The next step would be find the value of \z_{\alpha/2}, \alpha=1-0.99=0.01 and \alpha/2=0.005  

Using the normal standard table, excel or a calculator we see that:  

z_{\alpha/2}=\pm 2.58  

If we solve for n from formula (1) we got:  

\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}  

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

And we have everything to replace into the formula:  

n=(\frac{2.58(1.6)}{0.1})^2 =1704.03  

And if we round up the answer we see that the value of n to ensure the margin of error required \pm=0.1 mm is n=1705.  

6 0
3 years ago
Which is the best definition of an equilateral triangle?
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All sides are equal on a triangle
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