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strojnjashka [21]
3 years ago
11

Express 48.5% as a decimal.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
5 0
Answer:
0.485

Explanation:
48.5 / 100
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50r − 6 = 82r − 70.<br> a. r=64<br> b. r= -64<br> c.r=2<br> d.r=-2
lisabon 2012 [21]

Answer:

c

Step-by-step explanation:

Hope this helps.

3 0
4 years ago
An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th
monitta

Answer:

a) n =1623

b) ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

Step-by-step explanation:

1) Notation and definitions

n random sample taken

\hat p=0.19 estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

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}})

Part a

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 96% of confidence, our significance level would be given by \alpha=1-0.96=0.04 and \alpha/2 =0.02. And the critical value would be given by:

z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538

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 0.02 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)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912  

And rounded up we have that n=1623

Part b

The margin of error is given by:

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

So then if w replace the value of n obtained from part a we got:

ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

3 0
3 years ago
Simplify square root of 484
zhannawk [14.2K]

Answer:

22

Step-by-step explanation:

484 = 2^2 × 11^2

√484 = 2×11 = 22

3 0
3 years ago
carpet plus installs carpet for $100 plus $8 per square yard of carpet. carpet world charges $75 for installation and $10 per sq
inessss [21]
100+8x. 75+10x. That gives you the equations
4 0
3 years ago
Jay wants to make a box, with no lid (or top), out of a 10" x 6" rectangular piece of cardboard. If Jay cuts squares with dimens
LiRa [457]

Answer:

a.V(x)=x(10-2x)(6-2x)

b.S(x)=4(15-x^2)

Step-by-step explanation:

Dimensions of rectangular piece of cardboard=10\times 6

According to question

Length of box,l=10-2x

Breadth of box,b=6-2x

Height of box,h=x

a.

Volume of box=l\times b\times h

Substitute the values in the formula

Volume of box=x(10-2x)(6-2x)

V(x)=x(10-2x)(6-2x)

b.Surface area of box=2(b+l)h+lb

Because the box has no lid

Substitute the values in the formula

Surface area of box=2(10-2x+6-2x)x+(10-2x)(6-2x)

Surface area of box=2(16-4x)x+60-20x-12x+4x^2

Surface area of box=32x-8x^2+60-32x+4x^2

Surface area of box=60-4x^2=4(15-x^2)

Surface area of box, S(x)=4(15-x^2)

4 0
3 years ago
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