Answer:
It is a function.
Step-by-step explanation:
By definition, a function relates each element in the domain to only one element in the range. This means that each vertical line you draw through the x-axis can intersect the function at only one point. ... y = 2x +1. This is the equation of a straight line with slope 2 and y-intercept 1, so it is a function.
A linear function is two distinct but related notions. So, y=2x-1 is also a linear function.
Im thinking 20 mph bcos when u divide it it obviously gives u 20 plus ur mph
Answer: B. (1,1)
Step-by-step explanation: If you find slope with the points (0,-1) and (1,1) you will get a slope of 2.
the formula you can use is y2-y1/x2-x1
substitute the values with the 2 points i mentioned
1-(-1)=2
1-0=1
divide 2/1
and you get 2
So B, (1,1) would be your answer.
Answer:
P(X≥75)= 0.22663
Step-by-step explanation:
Hello!
The variable has a normal distribution with mean μ= 67 and a standard deviation δ= 8.
X~N(μ;δ²)
You need to find the probability that a randomly selected X value is at least 75, i.e. 75 or more, symbolically:
P(X≥75)
To calculate this probability is best to work using the standard normal distribution. This distribution is derived from the normal distribution. Considering a random variable X with normal distribution, mean μ and variance δ², the variable Z =(X-μ)/δ ~N(0;1) is determined.
The standard normal distribution is tabulated. Any value of any random variable X with normal distribution can be "converted" by subtracting the variable from its mean and dividing it by its standard deviation.
Using the formula and the values of the parameters of the population you have to standardize the value of X
Z= (X-μ)/δ = (75 - 67)/ 8= 0.75
Now you can express the probability under the standard normal distribution:
P(X≥75) = P(Z≥0.75)
The Z-tables show probability values P(Z≤z₁₋α)= 1 - α, then:
P(Z≥0.75)= 1 - P(Z<0.75)= 1 - 0.77337= 0.22663.
I hope it helps!
Y = 3
x = -4
(2x + y = -5)3 = 6x + 3y = -15 = 6x + 3y = -15
(3x + 5y = 3)2 = -(6x + 10y = 6) = -6x - 10y = -6
-7y = -21 : y = 3
(then we substitute y into equation #1)
2x + 3 = -5
2x = -8
x = -4