1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetlanka [38]
3 years ago
8

A circular table has a diameter of 48 inches. A carpenter is remaking it into a square table. To the nearest tenth of an inch, w

hat is the greatest possible side length of the square table?
Mathematics
1 answer:
ad-work [718]3 years ago
3 0
If the diameter of the circle is 48 the maximum diagonal of the square is 48.

The diagonal of the square is:

d=√x^2+x^2

d=√2x^2 so

48=x√2

x=48/√2 in

x≈33.9 in
You might be interested in
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

4 0
3 years ago
Round the number to the place of the underlined digit.<br><br> 4.327 (The underlined Digit is 3)
Genrish500 [490]

Answer:4.3

You round to the tenths place

5 0
3 years ago
HELP PLEASE ASAP
kondaur [170]
Answer: D. $3,450
Given: 2,500 shares of a stock bought for $8 a share
<span>Probabilities:  the stock will rise to a value of $32 a share is 22%</span>  <span>                                                the stock will fall to $3 a share is 78%</span>
<span>Question: What is the expected value of the investor’s profit from buying the stock?</span>
Solution: (22%(32-8)-78%(8-3))2500
                (.22(24)-.78(5))2500
                (5.28-3.9)2500
                (1.38)2500
                3450
8 0
3 years ago
At noon a train leaves Washington, D.C., headed for Charleston, South Carolina, a distance of 500 mi. The train travels at a spe
Bogdan [553]

Answer:

6 hours

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

Firstly, it is important to know where the train that leaves Washington will get after one hour since they didn't start at the same time between noon and 1 is 1 hour.

Speed = distance / time

Distance = speed * time

The distance S = 44 * 1

S= 44m

To determine the time they will pass each other

500(total distance)- 44 ( distance gotten to in 1 hour) - d(the distance it willl pass each other =44* t(time the train will pass each other.

456-d =44t

Second train

d = 32t

Substituting to the equation

456-32t=44t

456=76t

t= 6 hours.

The time they will pass each other is six hours.

4 0
3 years ago
There is no solution to the equation cscx=0.<br> True or False
Svetradugi [14.3K]

Answer:

True

Step-by-step explanation:

First, we need to recognize that

csc(x)=\frac{1}{sin(x)}

Now, we can try to solve

\frac{1}{sin(x)} =0

Multiply each side by sin(x)

1=0*sin(x)\\\\1=0

As we end up with an answer that cannot be true, we know that there is no solution.

Another method to solve this would be graphing the function y=csc(x)

When graphed, it can be seen that there is an asymptote at x=0 meaning that there is no value for x=0.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the solution to the equation -4 - 2=46
    7·2 answers
  • Can someone help me in #66
    15·1 answer
  • Is 0 a solution to 2x+10=4x+10
    7·2 answers
  • 4 consecutive integers to equal 2
    6·1 answer
  • Help me solve this conversions problem
    5·2 answers
  • What percent of 15y is 75?
    15·2 answers
  • What's the opposite of -1.5 and 3/4?
    7·2 answers
  • En una competición participan 200 atletas, 2/5 son españoles, 1/3 del resto son franceses, 35 son alemanes y el resto son ingles
    14·1 answer
  • Help help me help help quick
    5·2 answers
  • 0.0000024 in scientific notation
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!