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a_sh-v [17]
3 years ago
6

The observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level

in 60 seconds. About how many feet do the elevator travel per second.
Mathematics
1 answer:
Paul [167]3 years ago
8 0

Answer: The the speed of elevators is 22.55.

Explanation:

It is given that observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level in 60 seconds.

The speed is the change in distance with respect to time.

\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total Time}}

From the given information the total distance is 1353 and the total time is 60 seconds. So by the above formula we get,

\text{Average Speed}=\frac{1353}{60}

\text{Average Speed}=22.55

Therefore, the speed of elevators is 22.55.

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To find the area of a triangle, you can use the expression b × h ÷ 2, where b is the base of the triangle and h is its height. W
rosijanka [135]

Answer:

12

Step-by-step explanation:

first multiply 6 and 4.

then divide by 2.

8 0
3 years ago
Using a Simple Radom Sample of 500 rental property owners in Washington State, a 95% confidence interval estimate of the proport
Feliz [49]

Answer:

Hence the correct option is option d.

Explanation:

We can 95% confident that between 28.1% and 39.2% of all rental property owners own a property by the water.  

Here correct option for interpretation of the 95% confidence interval. The remaining options are about probabilities and sample proportions.

3 0
3 years ago
In Wellington, a city of 360,000 citizens, there has been an outbreak of vampires and werewolves There are 3,000 people infected
Alex17521 [72]

Answer:

0.0286 or 2.86%

Step-by-step explanation:

The total number of people that have werewolfism is 21,000.

Of those 21,000, 600 also have vampirism, while the remaining 20,400 do not. Therefore, the probability that someone has vampirism, given that they have werewolfism is:

P(V|W)=\frac{N_{V\cap W}}{N_W}\\P(V|W)=\frac{600}{21,000} \\P(V|W)=0.0286=2.86\%

The probability is 0.0286 or 2.86%.

3 0
3 years ago
Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29). Round your answer to at least three deci
ss7ja [257]

Answer:

a) 0.76197086

b) -1.73406361

Step-by-step explanation:

a)

Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29)

P(-1.29 < t < 1.29) would be the area under the t distribution curve with 7 degrees of freedom between -1.29 and 1.29, that is in the interval (-1.29, 1.29).

This can be done the old style by looking up in a table or by using the technology with a spreadsheet.

In Excel, the function TDIST(x,n,2) with x>0 gives the area outside the interval (-x, x) of the t distribution with n degrees of freedom.

So TDIST(1.29,7,2) gives the area outside (-1.29, 1.29).

If we subtract this value from 1 we get the desired result

Hence  

P(-1.29 < t < 1.29) = 1 - TDIST(1.29,7,2) = 1 - 0.23802914 = 0.76197086

In OpenOffice Calc, the function is the same replacing “,” with “;”  

That is

P(-1.29 < t < 1.29) = 1 - TDIST(1.29;7;2) = 0.76197086

b)

Consider a t distribution with 18 degrees of freedom. Find the value of c such that P(t≤ c) = 0.05

We are looking for a point c such that the area of the t distribution with 18 degrees of freedom to the left of c is 0.05

In Excel, the inverse function of TDIST is TINV.  

TINV(p*2,n) with p>0 gives the point c such that the area of the t distribution with n degrees of freedom to the right of c is p.  

Since <em>the t distribution is symmetric with respect to 0</em>, -c would be a point such that the area to the left of -c is p.

So we want to compute  in Excel

-TINV(0.05*2,18) = -1.73406361

In OpenOffice Calc  

-TINV(0.05*2;18) = -1.73406361

3 0
3 years ago
What’s 45 divided by 14.04
Vladimir79 [104]

Answer:

3.205

Step-by-step explanation:

convert the decimal number to a fraction

45 \div  \frac{351}{25}

To divide by fraction, multiply by the reciprocal of that fraction

45 \times  \frac{25}{351}

Reduce the numbers with the greatest common divisor 9

5 \times  \frac{25}{39}

Calculate the product

\frac{125}{39}

Now turn it to a decimal which will be

3.20513

8 0
3 years ago
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