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Sati [7]
3 years ago
5

Use the balanced scale to find the conversion factor that can be used to convert the number of blocks to the weight of the block

s in pounds.

Mathematics
1 answer:
Alexandra [31]3 years ago
6 0

Find Total weight at left side

\\ \sf\longmapsto 6(1lb)=6lbs

Now

Per block weight at right side

\\ \sf\longmapsto \dfrac{6}{4}=1.5lbs

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I need help with DE Precalculus, mainly trig identities. Would anyone be willing to zoom or text me to help tutor? Thanks!
liq [111]

Answer:

I would help but I'm really tired

6 0
3 years ago
What would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2
allsm [11]

Answer:

a=3,b=5

Step-by-step explanation:

\frac{3}{x}  +  \frac{5}{ {x}^{2}  }  \\  =  \frac{3x}{ {x}^{2} }   +  \frac{5}{ {x}^{2} }  \\  =  \frac{3x + 5}{ {x}^{2} }

so as you got it:

\frac{(ax + b)}{ {x}^{2} }  =  \frac{3x + 5}{ {x}^{2} }  \\ a = 3 \\ b = 5

4 0
3 years ago
You estimated the average rental cost of a 2 bedroom apartment in Denton. A random sample of 16 apartments was taken. The sample
Zigmanuir [339]

Answer:

The new sample size required in order to have the same confidence 95% and reduce the margin of erro to $60 is:

n=28

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=160)  

And the distribution for \bar X is:

\bar X \sim N(\mu, \frac{160}{\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=1-0.95=0.05 and \alpha/2=0.025  

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

z_{\alpha/2}=\pm 1.96  

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{1.96(160)}{78.4})^2 =16  

And this value agrees with the sample size given.

For the case of the problem we ar einterested on Me= $60, and we need to find the new sample size required to mantain the confidence level at 95%. We know that n is given by this formula:

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

And now we can replace the new value of Me and see what we got, like this:

n=(\frac{1.96*160}{60})^2 =27.32

And if we round up the answer we see that the value of n to ensure the margin of error required Me=\pm 60 $ is n=28.    

5 0
3 years ago
Suppose we have an unfair coin that its head is twice as likely to occur as its tail. a)If the coin is flipped 3 times, what is
Alenkinab [10]

Answer: a) 0.2222, b) 0.3292, c) 0.1111

Step-by-step explanation:

Since we have given that

Let the probability of getting head be p.

Since,  its head is twice as likely to occur as its tail.

p+\dfrac{p}{2}=1\\\\\dfrac{3p}{2}=1\\\\p=\dfrac{2}{3}

a)If the coin is flipped 3 times, what is the probability of getting exactly 1 head?

So, here, n  = 3

p=\dfrac{2}{3}

q=\dfrac{1}{3}

Now,

P(X=1)=^3C_1(\dfrac{2}{3})^1(\dfrac{1}{3})^2=0.2222

b)If the coin is flipped 5 times, what is the probability of getting exactly 2 tails?

2 tails means 3 heads.

So, it becomes,

P(X=3)=^5C_3(\dfrac{2}{3})^3(\dfrac{1}{3})^2=0.3292

c)If the coin is flipped 4 times, what is the probability of getting at least 3 tails?

P(X\leq 1)=\sum _{x=0}^1^4C_x(\dfrac{2}{3}^x(\dfrac{1}{3})^{4-x}=0.1111

Hence, a) 0.2222, b) 0.3292, c) 0.1111

8 0
3 years ago
To ________ a formula or equation for a specified variable means to rearrange it so that the variable appears alone on one side
777dan777 [17]
<span>I think they're looking for 'isolate' maybe..or it could be 'solve' </span>
4 0
3 years ago
Read 2 more answers
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