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allsm [11]
3 years ago
13

1.5d + 8.25 = 3 + 2.25dpls help meee

Mathematics
2 answers:
ElenaW [278]3 years ago
5 0

Answer:

d=7

Step-by-step explanation:

1.5d-2.25d = 3-8.25

-0.75d= -8.25

d=7

Marat540 [252]3 years ago
5 0

Answer:

is it 11.25?

Step-by-step explanation:

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Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuad
laila [671]

Answer:

17-2.262\frac{1.9}{\sqrt{10}}=15.641    

17+2.262\frac{1.9}{\sqrt{10}}=18.359    

So on this case the 95% confidence interval would be given by (15.641;18.359)    

And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm

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=17 represent the sample mean

\mu population mean (variable of interest)

s=1.9 represent the sample standard deviation

n=10 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)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=10-1=9

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,9)".And we see that t_{\alpha/2}=2.262

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

17-2.262\frac{1.9}{\sqrt{10}}=15.641    

17+2.262\frac{1.9}{\sqrt{10}}=18.359    

So on this case the 95% confidence interval would be given by (15.641;18.359)    

And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm

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3 years ago
Expand 4(z+6) into the simplest form.
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What's the answer to the equation of 4x^2+25<br> and show yor work please and thank you
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4 0
3 years ago
Suppose that profit for a particular product is calculated using the linear equation: Profit = 20S + 3D. Which of the following
uranmaximum [27]

Answer:

b. S = 405, D = 0

Step-by-step explanation:

We have been given that profit for a particular product is calculated using the linear equation: \text{Profit}=20S+3D. We are asked to choose the combinations of S and D that would yield a maximum profit.

To solve our given problem, we will substitute given values of S and D in the profit function one by one.

a. S = 0, D = 0

\text{Profit}=20S+3D

\text{Profit}=20(0)+3(0)

\text{Profit}=0

b. S = 405, D = 0

\text{Profit}=20S+3D

\text{Profit}=20(405)+3(0)

\text{Profit}=8100+0

\text{Profit}=8100

c. S = 0, D = 299

\text{Profit}=20S+3D

\text{Profit}=20(0)+3(299)

\text{Profit}=0+897

\text{Profit}=897

d. S = 182, D = 145

\text{Profit}=20S+3D

\text{Profit}=20(182)+3(145)

\text{Profit}=3640+435

\text{Profit}=4075

Since the combination S = 405, D = 0 gives the maximum profit ($8100), therefore, option 'b' is the correct choice.

7 0
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