The expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.
Solution:
Given expressions are 15t – 2t and 2t – 15t.
To determine 15t – 2t is equivalent to 2t – 15t or not.
Substitute t = 2 in above two expressions.
15t – 2t = 15(2) – 2(2)
= 30 – 4
= 26
2t – 15t = 2(2) – 15(2)
= 4 – 30
= –26
The values of the expressions are different when t = 2.
So, 15t – 2t is not equivalent to 2t – 15t.
Hence the expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.
The given system of equations is:
y = 4x − 3 ...(1)
2x + 7y = 41 ...(2)
Notice that the first equation is a solved equation for y. So, we can simply substitute 4x-3 for y in equation (2) to solve. This method is also knwon as substitution method by which we can plug in one equation into other equation.
So, if we will substitute y=4x-3 in equation (2) then we will get,
2x+7(4x-3)=41
Hence, third choice 2x + 7(4x − 3) = 41 is the correct answer.
Answer:
The correct option is;
(B) Yes, because sampling distributions of population proportions are modeled with a normal model.
Step-by-step explanation:
Here we have the condition for normality being that where we have a population with a given mean and standard deviation, while a sufficiently large sample is drawn from the population while being replaced, the distribution of the sample mean p will be distributed normally according to central limit theorem.
Hey there! Welcome to Brainly!
Let's see how many marbles we have in total.
12+11+17+5=45
We want to find the probability of selecting a marble that is not blue. Let's see how many marbles aren't blue.
12+11+5=28
We have this probability out of 48.
28/48
We simplify, giving us 7/12 or about 58.33%.
I hope this helps!
