Answer:
We have been given that a car can travel 476 miles on 14 gallons of gas and we are asked to write an equation relating the distance d to the number of gallons g.
We can set an equation as distance traveled is directly proportional to number of gallons used in travelling that distance.
Now we will find out K(number of miles traveled in one gallon of gas) by substituting our given values in this equation.
Therefore, we can see that car travels 34 miles in one gallon of gas.
Now we can use this information to find out how many gallons of gas does this car need to travel 578 miles.
Let us divide number of miles to be traveled by number of miles traveled in one gallon of gas to find out number of gallons of gas needed.
Therefore, car need 17 gallons of gas to travel 578 miles.
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
The statement is true because every graph associated a unique x-value for each y - value
Answer:
Probability is 1
Step-by-step explanation:
We are given;
mean;μ = $2,075
Standard deviation;σ = $300
n = 55
x' = $1,985
Now, we want to find x' to be at least $1,985 which is P(x' > $1,985).
The z-value is calculated from;
z = (x' - μ)/(√σ/n)
Plugging in the relevant values;
z = (1985 - 2075)/(√300/55)
z = -38.536
So, P(x' > $1,985) = P(z > -38.536)
This transforms to;
P(z < 38.536)
Probability from z distribution table is 1
Answer:
x=6
Step-by-step explanation:
1) Expand the equation to -2x+12=2x-12
2) Subtract 12 from both sides which gives you -2x=2x-24
3) Simplify, which makes it -4x=-24
4) Divide by 4, which gives you 6.
Answer:
Step-by-step explanation:
We have to write the rule to simplify fractions with negative exponents in the denominator and numerator.
If we have positive exponents, the simplification takes place as following:
The powers of the same base of numerator and denominator are subtracted.
In case of negative exponents, the simplification takes place in the following manner:
The powers of the same base of denominator and numerator are subtracted.