Answer:
x+(x+4)=52
Step-by-step explanation:
Let's name the smaller number x.
The greater number would then be (x+4).
<em>The sum of two numbers means we are adding them together.</em>
<u>The equation we could then set up would be:</u>
x+(x+4)=52
<em>Now we can solve the equation to find the two numbers if needed.</em>
<u>Here is how:</u>
x+x+4=52
Combine like terms.
2x+4=52
Subtract 4 from both sides.
2x=48
Divide both sides by 2
x=24
The smaller number is 24.
24+4=28
The larger number is 28.
Answer:
Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.
Step-by-step explanation:
The equation f(x) given is:

For x = 0. the value of the expression is:

For x = 1, the value of the expression is:

Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.
In other words, there is at least one solution for the equation between x=0 and x=1.
Answer:
m<M = 50°
Step-by-step explanation:
m<M +m<P +m<V=180° (sum of the interior angles of the triangle)
x+78+52°=180°
=>x+130= 180°
=>x=180°-130°
=>x= 50°
Answer:
A. Yes, because each of the two outcomes are equally likely.
Step-by-step explanation:
A sales representative for a baby food company wants to survey 300 random couples who are new parents to find out if their newborn child is a boy or a girl.
The representative uses a 1 for a girl and a 2 for a boy when running a simulation.
Yes, the simulation will be a fair representation of possible survey results.
A. Yes, because each of the two outcomes are equally likely.
If you ask 100 people and 60 say they are students, then you would assume that 60/100 people in town as a whole are students. To estimate the non-student population, you would infer that the other 40 are not students, thus making the non-student to student ratio 40:60 or 2:3 when simplified. This means that for every 2 non-students, there are 3 students. If we multiply 2000 by this 2:3 ratio, we would see that 2/3*2000 = the non-student population.The non-student population is estimated at 1,333.