Answer:
Red: 144. Green: 360 Brown: 552. Yellow: 144.
Step-by-step explanation:
Okay, so, to find the probabilities of red and yellow, we gotta add green and brown probabilities and then subtract that from one. Green and brown probabilities added together are 0.76. Subtract that from one and you get 0.24. Divide that by two and we get 0.12 for both red and yellow. Now we multiply 1200 by each probability.
Answer:
The pressure is 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form 
or 
In this problem we have
where
V is the volume of a gas at a constant temperature
P is the pressure
we have
For 
,
step 1
Find the value of k
substitute the values of V and P
The equation is equal to 
step 2
Find the pressure when the volume is 125 cubic inches
For 
substitute in the equation and solve for P
Answer: 
Step-by-step explanation:
According to the empirical rule, the 95% confidence interval for the true population proportion is given by :-
Given : . The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.
Then, the 95% confidence interval for the true proportion of adults who prefer e-books will be :-
Hence, the 95% confidence interval for the true proportion of adults who prefer e-books=
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount borrowed
From the information given,
P = 5000
r = 9
5.5% = 5.5/100 = 0.055
Assuming they are 365 days in a year
n = 365 because it was compounded 52 times in a year.
t = 29/365 = 0.0794
Therefore,
A = 5000(1 + 0.055/365)^365 × 0.0794
A = 5000(1 + 0.00015)^29
A = 5000(1.00015)^29
A = $5022
Answer:
c = 53 yd is the answer.
Step-by-step explanation:
a = 45 yd
b = 28 yd
c = ?
According to the Pythagorean Theorem,
a² + b² = c²
45² + 28² = c²
2025 + 784 = c²
c² = 2809
c = 53 yd
∴ The dog runs 53 yd
