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chubhunter [2.5K]
3 years ago
5

Eli is driving on a long road trip. He currently has 12 gallons of gas in his car. Each

Mathematics
2 answers:
Setler [38]3 years ago
6 0
7 used and five left
AlladinOne [14]3 years ago
5 0

Answer:

I would be 7 gallons used and 5 gallons left

Step-by-step explanation:

multyply 1.75 times 4 hours equal 7 then 12-7=5 is the total of gallons left

Hope this helps

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What’s the answer pleazzzzz helplllllll 9m^2-4m-6 by 3m
dlinn [17]

Answer

D. 3m - 4/3 -2/m


<u>Explanation</u>

(9m²-4m-6) ÷ 3m  = 9m²/3m - 4m/3m - 6/3m

Carry out the division, each term is divided by 3m.

9m²/3m = 3m

- 4m/3m = -4/3

- 6/3m = - 2/m

Finally you will get,

<em>3m - 4/3 -2/m</em>

5 0
3 years ago
Four girls have 5.00 to share equally. How much money will each girl get. Explain
Dennis_Churaev [7]

Answer:

Each will get $1.25

Step-by-step explanation:

5.00/4

= $1.25

5 0
4 years ago
A k out of n system is one in which there is a group of n components, and the system will function if at least k of the componen
Solnce55 [7]

Answer:

0.9606 = 96.06% probability that the system will function tomorrow

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it works, or it does not. Components are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of a component working:

0.7 of 0.2(rain)

0.9 of 1 - 0.2 = 0.8(no rain). So

p = 0.7*0.2 + 0.9*0.8 = 0.86

0.86 - 86% probability that the system will function tomorrow

6 components:

This means that n = 6

What is the probability that the system will function tomorrow

This is

P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{6,4}.(0.86)^{4}.(0.14)^{2} = 0.1608

P(X = 5) = C_{6,5}.(0.86)^{5}.(0.14)^{1} = 0.3952

P(X = 6) = C_{6,6}.(0.86)^{6}.(0.14)^{0} = 0.4046

P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1608 + 0.3952 + 0.4046 = 0.9606

0.9606 = 96.06% probability that the system will function tomorrow

6 0
3 years ago
The midpoint of line CD is M(-3,-7). If the coordinates of C are (-2, -10), what are the coordinates of D?
Lynna [10]

Answer:

D = (-4, -4)

Step-by-step explanation:

Given;

midpoint of line CD = M(-3, -7)

coordinate of C = (-2, -10)

The coordinate of D is calculated as follows;

C(-2, -10)---------------------M(-3, -7)--------------------D

M = \frac{D_1 + C_1}{2} \ , \ \frac{D_2 + C_2}{2} \\\\(-3, \ -7) = \frac{D_1 + (-2)}{2} , \ \frac{D_2 + (-10)}{2} \\\\(-3, \ -7) = \frac{D_1 \ - \ 2}{2} , \ \frac{D_2 -10}{2} \\\\-3 =  \frac{D_1 \ - \ 2}{2}  \ \ ----(1)\\\\-7 =  \frac{D_2 -10}{2}  \ -----(2)\\\\From \ (1): 2(-3) = D_1\ - \ 2\\\\-6 = D_1 - 2\\\\-6 + 2 = D_1\\\\-4 = D_1\\\\From \ (2) : \ 2(-7) = D_2 - 10\\\\-14 = D_2 - 10\\\\ -14 + 10 = D_2\\\\-4 = D_2\\\\The \ coordinate \ of \ D = (D_1\ , \ D_2)\\\\D = (-4 \ , \ -4)

Therefore, the coordinate of D = (-4, -4)

6 0
3 years ago
What is the height of a triangle that has an area of 60 yd squared and a base with a length of 12 yd
zmey [24]
The answer would be 0.4yd
8 0
3 years ago
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