Answer:
The expression that matches the situation is 90.00 - 3x ⇒ 1st answer
Step-by-step explanation:
Let us solve the question
∵ You went to the mall with $90.00
→ That means the total money with you = $90.00
∴ The total money = 90.00 dollars
∵ You bought three shirts that cost x dollars each
∴ The cost of a shirt = $x
∴ The number of shirts = 3
→ Find the total cost of the three shirts
∴ The cost of the shirts = 3 × x
∴ The cost of the shirts = 3x dollars
∵ The money left = the total money - the cost of the shirts
→ Substitute the value of total money and the cost of the shirts
∴ The amount of money left = 90.00 - 3x
∴ You have left with 90.00 - 3x dollars
∴ The expression matches the situation is 90.00 - 3x dollars
First answer: 160
Second answer: 300
Answer:
Two
Step-by-step explanation:
x² + 4 = 4x + 1
x² - 4x + 3 = 0
x² - 3x - x + 3 = 0
x(x - 3) - (x - 3) = 0
(x - 3)(x - 1) = 0
x = 1, 3
y = 4(1) + 1 = 5
y = 4(3) + 1 = 13
Two solutions: (1,5) (3,13)
Answer: 86.64%
Step-by-step explanation:
Let x be a random variable that represents the diameter of metal samples.
Given : Population mean : 
Standard deviation: 
Specified tolerance on the diameter is 0.75 mm.
i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75
Formula to find the z-score corresponds to x: 
At x= 0.75, 
Using standard normal table for z-value,
P-value : 
∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%
