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kozerog [31]
4 years ago
14

4.1 meters.can cut 5 7/10m strips. How much is left over

Mathematics
2 answers:
Lubov Fominskaja [6]4 years ago
8 0
It is 2.1 ...............
MatroZZZ [7]4 years ago
6 0
7/10 = 0.7

0.7 * 5 = 3.5

4.1 - 3.5 =0.6

answer: 0.6m left over
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Kobotan [32]

Use the next formula to find the margin or error:

MOE=z*\frac{\sigma}{\sqrt{n}}

z is the critical value (For a 95% confidence level the z-score is 1.95998)

σ is the standard deviation

n is the sample size

\begin{gathered} MOE=1.95998*\frac{20.4}{\sqrt{36}} \\  \\ MOE\approx6.6639 \end{gathered}<h2>Then the margin of error is: 6.6639</h2>\begin{gathered} \bar{x}\pm MOE \\  \\ 38.6\pm6.6639 \end{gathered}

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1 year ago
A bus company is replacing all the old seats in its buses with new ones. The company owns 15 buses and each bus has 22 seats. It
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2 years ago
(23.01) In a randomized comparative experiment on the effect of dietary calcium on blood pressure, researchers divided 58 health
Paul [167]

Answer:

113.7-2.154\frac{9.1}{\sqrt{29}}=110.06    

113.7+2.154\frac{9.1}{\sqrt{29}}=117.34    

And the 96% confidence is given by (110.06; 117.34)

Step-by-step explanation:

Information given

\bar X=113.7 represent the sample mean

\mu population mean (variable of interest)

s=9.1 represent the sample standard deviation

n=29 represent the sample size  

Confidence interval

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom are given by:

df=n-1=29-1=28

The Confidence is 0.96 or 96%, the significance is \alpha=0.04 and \alpha/2 =0.02, and the critical value would be t_{\alpha/2}=2.154

Replacing the info we got:

113.7-2.154\frac{9.1}{\sqrt{29}}=110.06    

113.7+2.154\frac{9.1}{\sqrt{29}}=117.34    

And the 96% confidence is given by (110.06; 117.34)

5 0
4 years ago
The rate of growth of profit​ (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati
Alecsey [184]

Answer:

The function is  P(x) =  \frac{1}{2} e^{-x^2} +0.016

Step-by-step explanation:

From the question we are told that

    The rate of growth  is  P'(x) =  xe^{x} - x^2

     The total profit is P(2)  =$25,000

      The time taken to make the profit is x =  2 \ years

         

From the question

     P'(x) =  xe^{-x^2}  is the rate of growth

  Now here x represent the time taken

Now the total profit is mathematically represented as

       P(x) =  \int\limits {P'(x)} \,  =   \int\limits {xe^{-x^2}} \,

So using substitution method

   We have that

                      u =  - x^2

                      du =  2xdx

  So  

        p(x) =  \int\limits {\frac{1}{2} e^{-u}} \, du

       p(x) =  {\frac{1}{2} [ e^{-u}} +c ]

       p(x) =  {\frac{1}{2}  e^{-x^2}} + \frac{1}{2} c      recall  u =  - x^2   and  let  \frac{1}{2} c =  Z

       

At  x =  2 years  

     P(x)  =$25,000

So

       Since the profit rate is in million

    P(x)  =$25,000 = \frac{25000}{1000000} =$0.025 millon dollars

So  

       0.025 =  {\frac{1}{2}  e^{-2^2}} + Z  

=>    Z = 0.025 - {\frac{1}{2}  e^{-2^2}}  

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So the profit function becomes

         P(x) =  \frac{1}{2} e^{-x^2} +0.016

     

       

5 0
3 years ago
URGET!!! IM TAKING A TEST. DUE TODAY
Novay_Z [31]

Answer:

15x \geq 345

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Step-by-step explanation:

First: find the inequality symbol

If she wants to earn at least 345, she wants to make 345 or more

that means you use the greater than or equal symbol (\geq)

Next, if she makes 15 dollars an hour, x has to be the number of hours she works. The left side of the inequality would be $15* number of hours, or 15x

Thus, your inequality would be 15x \geq 345

7 0
3 years ago
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