Answer:
The price of price of the stock after it has been owned for 12 weeks is $92.55
Step-by-step explanation:
Given: The price of a particular stock is represented by the linear equation
y = -0.91x + 103.47
where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars.
We have to find the price of price of the stock after it has been owned for 12 weeks.
Since , x represents the number of weeks the stock has been owned.
Thus, by substitute, x = 12
We get the value of y , the price of stocks.
Thus, y(x) = -0.91x + 103.47
⇒ y(12) = -0.91(12) + 103.47
⇒ y(12) = -10.92 + 103.47
Solving , we get,
⇒ y(12) = 92.55
Thus, the price of price of the stock after it has been owned for 12 weeks is $92.55.
Answer:
a. 12 feet b. 12 feet 0.5 inches c. 8.33 %
Step-by-step explanation:
a. How far out horizontally on the ground will it protrude from the building?
Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.
So, by ratios rise/run = 1/12 = 12/x
1/12 = 12/x
x = 12 × 12
x = 144 inches
Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet
b. How long should the ramp be?
The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.
So, L = √(12² + 144²)
= √[12² + (12² × 12²)]
= 12√(1 + 144)
= 12√145
= 12 × 12.042
= 144.5 inches
Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches
c. What percent grade is the ramp?
The percentage grade of the ramp = rise/run × 100 %
= 12 inches/144 inches × 100 %
= 1/12 × 100 %
= 0.0833 × 100 %
= 8.33 %
Answer:
What is the probability both are math phobic? 0.49%
What is the probability at least one is math phobic? 9.31%
Step-by-step explanation:
In order to both be math phobic, both individuals has to be inside of the probability of 7%, that means 0.07*0.07 = 0.0049 = 0.49%
In order to at least one be math phobic there's some cases which satisfies the sentence:
Individual A is math phobic and B as well = 0.07*0.07 = 0.0049 = 0.49%
Individual A is math phobic, but B is not = 0.07*0.63 = 0.0441 = 4.41%
Individual A is not, but B is math phobic = 0.63*0.07 = 0.0441 = 4.41%
Suming the 3 possibles cases, the probability at least one is math phobic
= 9.31%
