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KATRIN_1 [288]
3 years ago
9

A hospital parking lot charges $2.50 for the first hour or part thereof, and $1.25 for each additional hour or part thereof. A w

eekly pass cost $40.00 and allows unlimited parking for 7 days. If each visit Jonny makes to the hospital lasts one and a half hours, what is the minimum number of visits for which buying a pass would be less expensive than paying each time?
Mathematics
1 answer:
stepan [7]3 years ago
3 0
12 times is the answer
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Fifty draws are made at random with replacement from the box [ 0 0 1 1 1]. There are 33 ticket 1’s among the draws. The expected
Aleks04 [339]

Answer:

- The Expected value for the sum is 30.

- The Observed sum of 50 draws is 33.

- The Chance Error on the 50 draws is 3.

- The Standard Error on 50 draws is 2.191.

Step-by-step explanation:

The box contains [0, 0, 1, 1, 1]

Using probability to predict the expected outcome.

On one draw, the probability of drawing a 0 is (2/5).

And the probability of drawing a 1 is (3/5).

Probability mass function would look like

X | P(X)

0 | 0.40

1 | 0.60

So, expected value on one draw would be

E(X) = Σ xᵢpᵢ

xᵢ = each variable

pᵢ = probability of each variable

E(X) = (0×0.40) + (1×0.60) = 0.60.

Standard error on one draw = √[Σ(xᵢ - μ)²/N]

μ = E(X) = 0.60

Σ(xᵢ - μ)² = (0 - 0.60)² + (0 - 0.60)² + (1 - 0.6)² + (1 - 0.6)² + (1 - 0.6)² = 1.20

SE = √(1.2/5) = 0.490

So, for 50 draws (with replacement),

E(50X) = 50E(X) = 50 × 0.60 = 30.

For 50 draws, standard error = √50 × 0.490 = 2.191

The expected value for the sum = 30

The observed valued for the sum = (33×1) + (17×0) = 33

Chance Error = (Observed Outcome) - (Expected Outcome) = 33 - 30 = 3

Standard error gives an idea of how large the chance error would be.

Standard error on 50 draws = 2.191

Hope this Helps!!!

5 0
3 years ago
Prove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.
uranmaximum [27]

Step-by-step explanation:

just look what happened :

every term was multiplied by a factor with the value 1 (to keep the original value) but to establish a common denominator.

a/b was multiplied by d/d, and c/d was multiplied by b/b, so that the common denominator is then bd.

so, the first answer option is correct.

although I am a bit unhappy with its phrasing.

but the other options are definitely wrong.

6 0
2 years ago
12+3 (4f-4) can you show your work and simple simplify
maria [59]

12 + 3(4f - 4) \\ 12 + 12f - 12 \\  = 12f
Use the distributive property and combine like terms.
5 0
3 years ago
Read 2 more answers
What can you infer about elements that are in the same group?
Molodets [167]
B.

Elements of the same group in the Periodic Table will have similar chemical and physical properties.
4 0
3 years ago
Read 2 more answers
Bill wants to rent a car. Rental Company A charges $35 per day plus $0.10 per mile driven. Rental Company B charges $25 per day
vova2212 [387]

After 300 miles.

35+0.1x= 25+0.15x

<u> -0.1x -.01x</u> (0.1- 0.1 crosses out)

35= 25+0.15x

<u> -25 -25 </u> (25- 25 crosses out)

15= 0.15x

15/0.15= 0.15x/0.15 (crosses out)

300= x



6 0
2 years ago
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