Answer:
Option C is the correct option.
Step-by-step explanation:
Distribute 4x through the parentheses.
Hope I helped!
Best regards! :D
Answer:
.
Step-by-step explanation:
Let the unknown fraction be 
,
where, x and y both are prime numbers less than 20.
Now, it is given that adding 1 to both numerator and denominator will make the fraction 
.
Thus,
=
2(x + 1) = y + 1
2x + 2 = y + 1
2x + 1 = y.
Clearly if x will be any odd number , two times x will be odd and adding 1 to it will result in even number and y should be even number , which is not possible as only even prime is 2.
Thus , x should be the even prime which is 2.
And y will be 5.
Thus the required fraction is .
First find the area of the triangle, then find the area of the rectangle. Finally add them together and you will get your answer.
Answer: P(22 ≤ x ≤ 29) = 0.703
Step-by-step explanation:
Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = output of the machine in ounces per cup.
µ = mean output
σ = standard deviation
From the information given,
µ = 27
σ = 3
The probability of filling a cup between 22 and 29 ounces is expressed as
P(22 ≤ x ≤ 29)
For x = 22,
z = (22 - 27)/3 = - 1.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.047
For x = 29,
z = (29 - 27)/3 = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.75
Therefore,
P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703
Answer: $108199
Step-by-step explanation:
Step 1) Find the deposit cost
35/100 × 89540 = 31339
Step 2) Find the total cost of the monthly payments
2135 × 36 = 76860
Step 3) Find the final cost
31339 + 76860 = $108199
