Answer:
$180 - (15% * $180) = $153
Step-by-step explanation:
Electric current is the movement of the electrons caused by potential
difference. For example, in a circuit, the electrons in the bulb will not move
without the potential difference or voltage. When there is voltage, electric
current occurs because there is a driving force for the electrons in the wire
to move.
Answer:
A. A binomial distribution with n=25 and p=0.58
Step-by-step explanation:
We're looking at the number of tails, not the proportion. The probability of tails is 0.58, and the number of tosses is 25.
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Step-by-step explanation:
step 1
Find the value of x
In the large right triangle
----> by CAH (adjacent side divided by the hypotenuse)
Remember that

substitute

solve for x
---> improper fraction
step 2
Find the value of z
In the large right triangle
Applying the Pythagorean Theorem

substitute the value of x

solve for z




simplify

step 3
Find the value of y
In the right triangle of the right
---> by SOH (opposite side divided by the hypotenuse)
substitute the given values of y and z
Remember that

so

solve for y


step 4
Find the value of b
In the right triangle of the right
---> by CAH (adjacent side divided by the hypotenuse)
substitute the given values of y and z
Remember that

so

solve for y


Answer:
Step-by-step explanation:
A dime is worth 10 cents. Converting to dollars, it becomes 10/100 = $0.1
A quarter is worth 25 cents. Converting to dollars, it becomes 25/100 = $0.25
Let x represent the number of dimes that Jayden has.
Let y represent the number of quarters that Jayden has.
Jayden has some dimes and some quarters. He has at most 25 coins. It means that
x + y ≤ 25
The coins worth at least $4.60 combined. It means that
0.1x + 0.25y ≥ 4.6 - - - - - - - - - - 1
If Jayden has 7 dimes, then
7 + y ≤ 25
y ≤ 25 - 7
y ≤ 18
Substituting x = 7 into equation 1, it becomes
0.1 × 7 + 0.25y ≥ 4.6
0.7 + 0.25y ≥ 4.6
0.25y ≥ 4.6 - 0.7
0.25y ≥ 3.9
y ≥ 3.9/0.25
y ≥ 15.6
All possible values for the number of quarters that he could have would be
15.6 ≤ y ≤ 18