Answer:
It will take 56 seconds
Step-by-step explanation:
A water hose used one -eighth of a gallon of water and every second. This means that the flow rate is
1/8 gallon per second.
If Halsey need to fill up 7 gallons sized containers, let x represent the number of seconds that it will take Halsey to fill up 7 gallons. Therefore,
1/8 gallons = 1 second
7 gallons = x seconds.
Cross multiplying,
1/ 8 × x = 7 × 1
x/8 = 7
x = 8 ×7 = 56 seconds
Answer:
the answer id g(x)=15-2x.
.45 is just 45/100. divide both numbers by 5 to get 9/20.
<span>If there is a hypotenuse, the triangle is a right triangle. From the Pythagorean Theorem:
c^2 = a^2 + b^2 [the square of the hypotenuse is the sum of the squares of the other two sides]
c^2 = 11^2 + 11^2 = 121 + 121 = 242
c = sqrt(242) = 15.56 cm (rounded)</span>
For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25