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Galina-37 [17]
3 years ago
14

What's 30 inches decreased by 30%​

Mathematics
1 answer:
Elanso [62]3 years ago
4 0

Answer:

21

Step-by-step explanation:

First, we would find 30% of 30, which would be 9. Then we would subtract 9 from 30 because we are decreasing it by 30%. That means the answer is 30-9, which is 21.

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erastova [34]

Answer:

B. y = -1/2x

Step-by-step explanation:

Because the answer is in point-slope intercept form, we know -1/2 is m. Also, because the equation is setting y equal to x, we know it goes through the origin.

3 0
3 years ago
A. &gt;<br> B. &lt;<br> C. =<br> D. none of the above
earnstyle [38]

Answer:

3.14 \times 10 ^{3}  < 2.6 \times 10^{3}

Step-by-step explanation:

3.14 \times 10 ^{3}

3140

2.6 \times 10 ^{4}

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7 0
2 years ago
In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour
Lesechka [4]

Answer:

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

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=54 represent the sample mean  

\mu population mean (variable of interest)

\sigma=21 represent the sample standard deviation

n=16 represent the sample size  

Solution to the problem

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.90 or 90%, the value of \alpha=1-0.9=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Now we have everything in order to replace into formula (1):

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

4 0
3 years ago
A nick on the edge of a CD rotates to (−6, 5) during one song when represented graphically.
Allisa [31]
By definition, the sine of an angle is given by:
 sin \alpha =  \frac{C.O}{h}
 Where,
 C.O: opposite leg
 h: hypotenuse
 The hypotenuse is given by:
 h =  \sqrt{(-6)^2+(5)^2}
 h =  \sqrt{(61}
 So, replacing values we have:
 sin \alpha = \frac{5}{\sqrt{61}}
 Rewriting we have:
 sin \alpha = \frac{5\sqrt{61}}{61}
 Answer:
 
the sine value of this function is:
 
A)5 times square root 61 over 61
6 0
3 years ago
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What is the area of this parallelogram PLEASE HELP QUICKLY!!!20 points!!!
olga nikolaevna [1]

Answer:

72

Step-by-step explanation:

8 0
3 years ago
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