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3 years ago

The gas tank is 20% full. At $3.00 per gallon of gas, find the cost to fill the tank. (1 gal = 231 in.3)

Mathematics

1 answer:

rewona [7]3 years ago

7 0

The correct question in the attached figure

we know that

to fill the tank is required--------> 100%-20%--------> 80%
if 20% of the gas tank is-----------------> 288.75 gal
80% --------------------------------------> X gal
X=80*288.75/20--------> X=1155 gal

if 1 gal----------------> cost $3
1155 gal----------> $X
X=1155*3--------> X=$3465

the answer is
the cost to fill the tank is $3465

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An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.

MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is $\frac{21}{3000000}==0.000007$ .

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by $q$ .

$q=7\times 10^{-6}=0.000007$ .

So, the probability of survive, $p=1-q$

$\Rightarrow p=1-7\times 10^{-6}=0.999993.$

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

$=\binom(n,r)p^rq^{n-r}$

$=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}$

$=(0.999993)^{48}=0.999664$ (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total $n$ skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

$0.9=\binom {n }{r} p^rq^{n-r}$

Here, r=n.

$\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}$

$\Rightarrow 0.9=p^n$

$\Rightarrow 0.9=(0.999993)^n$

$\Rightarrow \ln(0.9)=n\ln(0.999993)$ [ taking $\log_e$ both sides]

$\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}$

$\Rightarrow n=15051.45$

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0

3 years ago

On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negat

klasskru [66]

Answer:

Option A) They are parallel because their slopes are equal.

Step-by-step explanation:

We are given the following in the question:

Line AB:

(-4, -2), (4,4)

Line CD:

(0,-3), (4,0)

Formula to calculate slope =

$(x_1, y_1), (x_2, y_2)\\\\\\text{Slope} = m = \dfrac{y_2 - y_1}{x_2 - x_1}$

Slope of AB =

$(-4, -2), (4,4)\\\\m_{AB} = \dfrac{4-(-2)}{4-(-4)} = \dfrac{6}{8} = \dfrac{3}{4}$

Slope of CD =

$(0,-3), (4,0)\\\\m_{CD} = \dfrac{0-(-3)}{4-0} = \dfrac{3}{4}$

Thus,

$m_{AB} = m_{CD}$

Thus, the two lines are parallel.

Option A) They are parallel because their slopes are equal.

3 0

3 years ago

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Lavasha and Keisha travel separately to their grandmother’s house, 114 miles away. Keisha leaves from the same place 30 minutes

Firdavs [7]

Skool is Cool so that means if you don’t go

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3 years ago

From a survey of 60 students attending a university, it was found that 9 were living off campus, 36 were undergraduates, and 3 w

lana66690 [7]

I think the question has to do with the number of students who are attending the university but is neither an undergraduate nor living off-campus. To help us solve this problem, we use the Venn diagram as shown in the picture. The intersection of the 2 circles would be 3 students. The students in the 'students living off-campus' circle would be 9 - 2 = 6, while the undergraduate students would be 36-3 = 33. The total number of students inside all the circles and outside the circles should sum up to 60 students.

6 + 3 + 33 + x = 60
x = 60 - 6 - 3 - 3
x = 18 students

Therefore, there are 18 students who are neither an undergraduate nor living off-campus

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3 years ago

What is 0.03 in scientific notation

aliina [53]

Answer: 3e-1

Step-by-step explanation: when it's going behind the decimal it will always be negative plus the reason it's one is because if you slide the decimal once it'll be the complete opposite

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3 years ago