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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  

You might be interested in
What are the prime factors of 48, in index form
Vikki [24]
Not sure what index form is but
48=2 times 2 times 2 times 2 times 3
this is also
48=2^3 times 3


7 0
3 years ago
Read 2 more answers
I have another Brainliest
Lynna [10]

Answer:

  1. 5 times
  2. $22.75

Step-by-step explanation:

1.  Let n represent the number of times you can ride. To keep the cost within your budget, you must have ...

  2.75n ≤ 15.00

  n ≤ 5.45

You can ride 5 times. You don't have enough money to ride 6 times.

__

2. You can choose the correct answer using estimation of the costs. (You only need to work out the numbers in detail if an estimate doesn't get you close enough.)

3 all-day passes are a little more than $20 each, so cost a little more than $60.

2 rides on the Mountain Coaster are another $9, so your total cost will exceed $69. That means you will get less than $31 in change from $100. The only answer choice in that range is $22.75.

If you add up the costs of the passes and rides, you find they come to $77.25, so your change from $100 will be $22.75.

5 0
3 years ago
Pilates is a popular set of exercises for the treatment of individuals with lower back pain. The method has six basic principles
Bas_tet [7]

Answer:

a) We reject H₀     We find difference between the mean of the two groups

b) we accept H₀ : There is no statistical difference  ( in the scale of pain) when the difference in samples means is 1

Step-by-step explanation:

Group 1: Only with educational material

Sample size     n₁  =  42

Sample mean   x₁  =  3,2

Sample standard deviation  s₁  =  2,3

Group 2: With exercises with the treatment of individuals

Sample size    n₂   =  42

Sample mean    x₂  = 5,2  

Sample standard deviation   s₂  = 2,3

Test Hypothesis

Null Hypothesis                     H₀           x₂  -  x₁  = 0  or    x₁  =  x₂

Alternative Hypothesis         Hₐ           x₂  -  x ₁ > 0  or    x₂  >  x₁

Significance level  α  = 0,01

Sample sizes are n₁  =  n₂  >  30

We use z-test

for α  = 0,01     z(c)  ≈  2,32

To calculate z(s)

z(s)  =  (  x₂  -  x₁ ) / √ (2,3)²/42  + (2,3)²/42

z(s)  = ( 5,2  -  3,2 )/ √0,2519

z(s)  =  2 / 0,5

z(s) = 4

Comparing  z(s)  and z(c)

z(s) > z(c)

z(s) is in the rejection region. We reject H₀ the true average pain level for the control condition exceeds that for the treatment condition.

b) Does the true average pain level for the control condition exceed that for the treatment condition by more than 1.

In this case

z( s) =  x₂ - x₁ / 0,5

z(s) =  1 /0,5

z(s) = 2

Comparing z(s) and z(c)  now

z(s) < z(c)        2 < 2,32

And z(s) is in the acceptance region ( for the same significance level) and we should accept H₀  equivalent to say that the two groups statistical have the same mean

5 0
3 years ago
Can you help me with this pls
posledela

Answer:

20% tip is $3.97, add that to 18.97 and you get $22.76, then add 8.25 and you get $31.01

6 0
3 years ago
Giving brainliest!
Dovator [93]

Answer:

PLS MARK ME BRAINLIEST

Step-by-step explanation:

0.9375

6 0
3 years ago
Read 2 more answers
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