3x-7=5x=19
3x-7-5x=5x+19-5x
-2x-7=19
-2x-7+7=19+7
-2x=26
-2x/-2=26/-2
x=-13
:) Did you get that?
Answer:
(3,2)
Step-by-step explanation:
Let's solve this via elimination method:
By subtracting equation 2 from equation one we obtain:
Next we can use any equation either 1 or 2 to determine what x is, I'll use equation 1. Let y=2 and so:
Therefore the solution for the system of equations is:
x=3 and y = 2 as an ordered pair we have (3,2)
<span>12.56+12.69 = 12.60 + 12.70 = 25.30
answer
</span><span>A. about $25.30</span>
Answer:
0.3 years
Step-by-step explanation:
With problems like these, I always like to start by breaking down the information into smaller pieces.
μ = 13.6
σ = 3.0
Survey of 100 self-employed people
(random variable) X = # of years of education
So now we have some notation, where μ represents population mean and σ represents population standard deviation. Hopefully, you already know that the sample mean of x-bar is the same as the population mean, so x-bar = 13.6. Now, the question asks us what the standard deviation is. Since the sample here is random, we can use the Central Limit Theorem, which allows us to guess that a distribution will be approximately normal for large sample sizes (that is, n ≥ 30). In this case, our sample size is 100, so that is satisfied. We're also told our sample is random, so we're good there, too. Now all we have to do is plug some stuff in.
The Central Limit Theorem says that for large values of n, x-bar follows an approximately normal distribution with sample mean = μ and sample standard deviation = σ/√n. So, with that info, all we need to do to find the standard deviation of x-bar is to plug our σ and n into the above formula.
σ(x-bar) = σ/√n
σ(x-bar) = 3.0/√100
σ(x-bar) = 0.3
So your answer here is .3 years.
Answer:
Step-by-step explanation:
<u>Area of a Compound Shape</u>
The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.
The area of a circle of radius r is:
The area of a triangle of base b and height h is:
Calculate the area of the circle:
Area of half the circle:
Area of the triangle:
The area of the shaded shape is:
Substituting the value of pi:
