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shepuryov [24]
2 years ago
11

A piece of rope is 54 inches long. It is cut into pieces that are each 9 inches long.

Mathematics
2 answers:
arlik [135]2 years ago
5 0

Answer:

6 pieces of rope

Step-by-step explanation:

54/9

bogdanovich [222]2 years ago
4 0

Answer:

6 pieces of rope

Step-by-step explanation:

if the total is 54 and each are 9 you can make an equation

54= 9 x a

solve for a

to do this you divide 54 by 9

54/9=6

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calculate the scale factor of abc to def enter answer as a whole number or as a fraction into lowest terms
SVETLANKA909090 [29]

Answer:

Scale is 1/6

Step-by-step explanation:

Since all sides and angles are identical these are congruent triangles

3 ways to solve:

Scale Factor = DE / AB = 12/72 = 1/6

Scale Factor = DF/AC = 7/42 = 1/6

Scale Factor = EF/CB = 11/66 = 1/6

3 0
3 years ago
In recent year a letter to Europe from the United States cost $0.94 to mail. A letter mailed within United States cost $0.44. Na
Bogdan [553]
3 letters to US = 3*0.94 = 2.82
2 local letters = 2*0.44 =  0.88 
checking: 2.82+0.88 = 3.70

to get rid out of 0.04 cents you have to multiply it by 5. so total number of letters would be 5.
5 0
3 years ago
Guys plz help me answer this!!!
ddd [48]

Answer:           number 2

cuz its the only one that makes sense

5 0
2 years ago
4y-70=12y+2<br><br> Solve????
Lady_Fox [76]
Simplifying <span>4y + -70 = 12y + 2
</span>
Add -12y to each side of the equation. -70 + 4y + -12y = 2 + 12y + -12y 

<span>Add 70 to each side of the equation. -70 + 70 + -8y = 2 + 70
</span>
Divide each side by -8.
<span>
</span>So y = -9 is your answer.

Hope I Helped!!!
6 0
3 years ago
Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size
julsineya [31]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

For this case we can use as estimator for the proportion \hat p =0.5, since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

8 0
3 years ago
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