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2 years ago

A floor plan shows that a tiny house has a length of 40 feet and a width of 25 feet

Mathematics

1 answer:

Oduvanchick [21]2 years ago

3 0

Answer:

1000 square feet.

Step-by-step explanation:

to find the area, you multiply the length by the width

40*25=1000

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Mrs Franklin's speedometer said she was driving at a rate of 48 miles per hour. When checking the accuracy of her speedometer, a

Ket [755]

The percent error is 4.167 %

Solution:

Given that, Mrs Franklin's speedometer said she was driving at a rate of 48 miles per hour

When checking the accuracy of her speedometer, an Automotive Specialist recorded her speed at 50 miles per hour

The percent error is given by formula:

Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%

$\text{Percent error } = \frac{\text{experimental-theoretical}}{theoretical} \times 100$

From given,

Experimental value = 50

Theoretical value = 48

Substituting the values in formula, we get,

$Percent\ Error = \frac{50-48}{48} \times 100\\\\Percent\ Error = \frac{2}{48} \times 100\\\\Percent\ Error = 4.167$

Thus the percent error is 4.167 %

8 0

3 years ago

(2x > 10) list some values for x that would make this inequality true

Aneli [31]

Answer:

6 , 7 , 8 , 9...

Step-by-step explanation:

2x > 10

x > 5

then

x = 6 , 7 , 8, 9...

I think that I am right and also think this will helpful to you.....

6 0

2 years ago

H^-2g for h=3 and g=27

Alexeev081 [22]

Plug h = 3 and g = 27 into the expression:

$h^{-2}g= \dfrac{g}{h^2} = \dfrac{27}{3^2} = \dfrac{27}{9} = 3$

3 0

3 years ago

Need help DUE TOMORROW HELL! Don’t get

Vlada [557]

The side of the square is 4 cm since 4x4= 16

3 0

4 years ago

A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec

VMariaS [17]

Answer:

$19.1-3.355\frac{1.5}{\sqrt{9}}=17.42$

$19.1+3.355\frac{1.5}{\sqrt{9}}=20.78$

And the best option would be:

C. [17.42,20.78]

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".

$\bar X=19.1$ represent the sample mean

$\mu$ population mean (variable of interest)

s=1.5 represent the sample standard deviation

n=9 represent the sample size

Solution to the problem

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:

$df=n-1=9-1=8$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that $t_{\alpha/2}=$

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

$19.1-3.355\frac{1.5}{\sqrt{9}}=17.42$

$19.1+3.355\frac{1.5}{\sqrt{9}}=20.78$

And the best option would be:

C. [17.42,20.78]

5 0

3 years ago