Option C:
h(x) = 0.08x
Solution:
Given data:
Sales tax is a function of the price of an item.
Let h be the function.
Take x be the price of an item.
Amount of sales tax = 0.08 times price of the item
= 0.08 × x
Amount of sales tax = 0.08x
⇒ h(x) = 0.08x
Hence the function is h(x) = 0.08x.
Option C is the correct answer.
Answer: x=−5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−4−7x=31
−4+−7x=31
−7x−4=31
Step 2: Add 4 to both sides.
−7x−4+4=31+4
−7x=35
Step 3: Divide both sides by -7.
−7x
−7
=
35
−7
x=−5
The angle with the largest measure is opposite the longest side. The longest side is 12. It is opposite angle B. The appropriate choice is ...
B. ∠B
Answer:
Patricia will run 132 kilometers with 11 liters of gas.
Step-by-step explanation:
The given table is representing the distance driven by Patricia for every liter of gas she puts in her car.
With 3 liters of gas she drives 36 kilometers.
This means in one liter of gas distance covered by the car =
kilometers.
Similarly if the car runs 48 kilometers in 4 liters of gas then per liter distance covered by the gas will be =
kilometers
Now with 11 liters of gas distance covered by the car will be = 11×12
= 132 kilometers
Therefore, with 11 liters of gas Patricia can run 132 kilometers.
Answer:
(a) 0.0833 or 8.33%
(b) 0.40 or 40%
Step-by-step explanation:
Parts line one (n1) = 1,000 parts
Defects line one (d1) = 100 parts
Parts line two (n2) = 2,000 parts
Defects line two (d2) = 150 parts
Total number of parts (n) = 3,000 parts
a. Probability of a randomly selected part being defective:

The probability is 0.0833 or 8.33%
b. Probability of a part being produced by line one, given that it is defective:

The probability is 0.40 or 40%.