The first one would be:
a.Given
b.Subtraction Property of Equality
c.Multiplication Property of Equality

The second one I think would be:
a.Substitution.
b.Addition of like terms.
c.Division property of equality.

8 0

3 years ago

Philip ran out of time while taking a multiple-choice test and plans to guess on the last 4 questions. Each question has 5 possi

belka [17]

Answer:

There is a 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is correct, or it is not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

There are four questions, so n = 4.

Each question has 5 options, one of which is correct. So

What is the probability that he answers exactly 1 question correctly in the last 4 questions?

This is

There is a 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

My guess...

⊕⊕⊕

6 0

4 years ago

Matilda and Lorraine work in the mail room of a large company sorting letters. Matilda has already sorted 50 letters and continu

likoan [24]

1) Number of letters Matilda has sorted after x hours: m(x)
Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour:
m(x)=50+50x
where:
Number of hours: x

Number of letters Lorraine has sorted after x hours: l(x)
Lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour:
l(x)=80+40x
where:
Number of hours: x

Which function can Matilda and Lorraine use to determine the total number of letters they have sorted after x hours?
Total number of letters they have sorted after x hours: f(x)

f(x)=m(x)+l(x)
f(x)=(50+50x)+(80+40x)
f(x)=50+50x+80+40x
f(x)=90x+130

Answer: The function Matilda and Lorraine can use to determine the total number of letters they have sorted after x hours is f(x)=90x+130

2) How many letters will they have sorted after 6 hours?

x=6→f(6)=?
f(6)=90(6)+130
f(6)=540+130
f(6)=670

Answer: They will have sorted 670 letters after 6 hours

Answer: First option: The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 130. Thus, they will have sorted 670 letters in 6 hours.

6 0

3 years ago