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elena55 [62]
2 years ago
14

Andros has an oil fired heating system. In 30 days period he used a full tank of oil at a constant rate per day . At a different

time of the year the amount of oil andros uses per day is 1/3 of the rate used in 30 days period . How many days should a full tank of oil last at this new rate
Mathematics
1 answer:
Alexandra [31]2 years ago
8 0

Answer:

90 days

Step-by-step explanation:

Let the rate per day for the 30 days period be x

Given that the rate drops to 1/3 of the rate used in 30 days period, it means that the new rate

= 1/3 x

If at a rate of x, the full tank runs for 30 days

at a rate of 1/3 x, the full tank would run for

= x/ (1/3 x) * 30 days

= 3 * 30 days

= 90 days

At the new rate, the full tank of oil will last for 90 days

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liberstina [14]
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3 years ago
Find the indicated probability. round to three decimal places. a test consists of 10
Charra [1.4K]

To answer this problem, we use the binomial distribution formula for probability:

P (x) = [n! / (n-x)! x!] p^x q^(n-x)

Where,

n = the total number of test questions = 10

<span>x = the total number of test questions to pass =   >6</span>

p = probability of success = 0.5

q = probability of failure = 0.5

Given the formula, let us calculate for the probabilities that the student will get at least 6 correct questions by guessing.

P (6) = [10! / (4)! 6!] (0.5)^6 0.5^(4) = 0.205078

P (7) = [10! / (3)! 7!] (0.5)^7 0.5^(3) = 0.117188

P (8) = [10! / (2)! 8!] (0.5)^8 0.5^(2) = 0.043945

P (9) = [10! / (1)! 9!] (0.5)^9 0.5^(1) = 0.009766

P (10) = [10! / (0)! 10!] (0.5)^10 0.5^(0) = 0.000977

Total Probability = 0.376953 = 0.38 = 38%

<span>There is a 38% chance the student will pass.</span>

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=7%20%7Bx%7D%5E%7B3%7D%20%20%2B%204x%20-%205%20%2B%208%20%7Bx%7D%5E%7B5%7D%20" id="TexFormula1"
elixir [45]

Answer:

D

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent of a term within the polynomial.

Given

7x³ + 4x - 5 + 8x^{5}

The term with the largest exponent is 8x^{5} with exponent 5

Thus the polynomial is of degree 5 → D

3 0
2 years ago
Help. Also, how do you give Brainliest?
lawyer [7]

Okay so basically when two people answer your questions it should give you the option to give brainliest otherwise sometimes it takes a few days to give it to someone. And for your question does it give any number options.?

Edit: f(-1)= 1 then f(1)= -10.

4 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP!!I WILL GIVE BRAINLIEST AND 5 STARS AND HEART AND PROFILE COMMENT (4 QUESTIONS)!!!!
german
<span>Identify the corresponding word problem given the equation: x + 5 = 15
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----------------------

</span><span>Identify the corresponding word problem given the inequality: x ≤ 4.50
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<span>Identify the corresponding word problem given the equation: x - 9.2 = 12.8
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----------------------
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</span>x = 55.75 - 12.50 = 43.25

Before he had $43.25
3 0
2 years ago
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