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ELEN [110]
3 years ago
15

Two families are vacationing together, driving in separate cars. The Harris family averages 40 mph, leaving Hometown 12 minutes

ahead of the Arlen family, who averages 55 mph. How long will it take the Arlen family to overtake the Harris family?
Mathematics
2 answers:
andrey2020 [161]3 years ago
8 0
I believe, if I'm not correct but I think the answer would be 8 minutes or less.. Considering the fact that the Harris Family left 12 minutes ahead and the Arlen family is Averaging 55 MPH.. Too the speed that the Arlen's are going make the time for them to catch up to the harris's shorter. The Arlen's are going 15 mph faster sooo.. Yeah.. Tell em if this helps! :D
Mila [183]3 years ago
8 0

Answer:

32

Step-by-step explanation:

40(t+12/60) = 55t  

40t +8 = 55t  

8 = 15t  

t = .533333 hr  

=0.533333 X 60 = 32 min  

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Using Communative Property, We can switch the equation around to make it look the same.
6 0
3 years ago
A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), t
KATRIN_1 [288]

Answer:

T(2, -1)

T(1, 2)

Step-by-step explanation:

From (3, 2) to (5, 1), the translation is T(2, -1). x goes up by 2. y goes down by 1.

From (5, 1) to (6, 3), the translation is T(1, 2). x goes up by 1. y goes up by 2.

6 0
3 years ago
Read 2 more answers
Mr. Moss had 2 gallons of paint. He painted 3 doors. How many benches can he paint with the paint that is​ left? Show your work.
RUDIKE [14]

Answer:

uh depends on how much paint he used for the doors and how much paint he needs for the benches

Step-by-step explanation:

8 0
3 years ago
A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c
Anna [14]

Answer:

The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100

Step-by-step explanation:

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

      E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }    

Here assume that Z_{\frac{\alpha }{2} } \ and \  \sigma \ is constant so

     E =  \frac{k}{\sqrt{n} }

=>  E \sqrt{n} = K

=>   E_1 \sqrt{n}_1 =  E_2 \sqrt{n}_2

So  let  n_1 = 400 and n_2 =  100

=>   E_1 \sqrt{400} =  E_2 \sqrt{100}

=>  E_1 =  \frac{\sqrt{100} }{\sqrt{400} } E_2

=>  E_1 =  \frac{1}{2 } E_2

So From this we see that  the confidence interval for a sample size of 400 will be half that with a sample size of 100

   

     

   

7 0
2 years ago
What is the sum of the interior angles of a 15-gon?
klemol [59]

Answer:

2340 degrees

Step-by-step explanation:

Each triangle has an angle sum of 180 degrees, therefore the sum of interior angles of 15-gon will be 13×180=2340

6 0
3 years ago
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