M(x) = 5x + 4 n(x) = 6x - 9
Part 1 (m + n)(x) = 5x + 4 + 6x - 9
= 11x - 5
Part 2 (m * n)(x) = (5x + 4)(6x - 9) = 30x^2 - 21x - 36
Part 3 m[n(x)] = 5(6x - 9) + 4
= 30x - 45 + 4
= 30x - 41
Answer:
The amount of interest earned after a year is $32.25
Step-by-step explanation:
In this question, we are asked to calculate the amount of interest generated by depositing a sum into an account.
To calculate the interest earned, we use the simple interest formula.
Mathematically;
I = PRT/100
where I is the interest earned
R is the rate which is 6.25% according to the question
T is the time taken which is 1 year
P is the amount of money deposited also know. as the principal which is $516
Plugging these values we have
I = (516 * 6.25 * 1)/100 = $32.25
Answer:
Ok so QR=10 because x=5 and the bisector I believe is LM :)
Step-by-step explanation:
Given:
n = 195, sample size.
x = 162, successes in the sample
The proportion is
p = x/n = 162/195 = 0.8308
n* p = 195*0.8308 = 162
n*(1-p) = 195*(1 - 0.8308) = 33
If n*p >= 10, and n*(1-p) >= 10, then the sample proportions will have a normal distribution. This condition is satisfied.
The proportion mean is
μ = 0.8308
The proportion standard deviation is

σ/√n = 0.0269/√195 = 0.00192
At the 95% confidence level, the interval for the population proportion is
(μ - 1.96(σ/√n), μ + 1.96(σ/√n))
= (0.8308 - 1.96*0.00192, 0.8308 + 1.96*0.00192)
= (0.827, 0.8345)
Answer: The 95% confidence interval is (0.827, 0.835)
Answer:
true
Step-by-step explanation: