Answer:
x = 4
Step-by-step explanation:
All of the sides are the same so every angle is 17x-8.
Every triangle adds up to 180 degrees.
3(17x-8)=180
51x-24=180
+24 +24
51x=204
x= 4
The answer is 6n^3+n^2+6n-4 I hope I helped you!
Answer:
The expected value of random variable X is often written as E(X) or µ or µX.
Step-by-step explanation:The expected value is the 'long-run mean' in the sense that, if as more and more values of the random variable were collected (by sampling or by repeated trials of a probability activity), the sample mean becomes closer to the expected value.
Answer/Step-by-step explanation:
Slope (m) = rise/run
y-intercept (b) = starting value or the point on the y-axis where the line cuts across
✔️Slope (m) of skater 1:
Rise = 45
Run = 7.5
Slope (m) = 45/7.5 = 6
✔️ y-intercept (b) of Skater 1:
b = 0 (the y-axis is intercepted at 0)
✔️Skater 1 linear function in slope-intercept form, y = mx + b
Substitute m = 6 and b = 0 into y = mx + b
Linear function: y = 6x + 0
y = 6x
✔️Slope (m) of skater 2:
Rise = 30
Run = 15
Slope (m) = 30/15 = 2
✔️ y-intercept (b) of Skater 2:
b = 0 (the y-axis is intercepted at 0)
✔️Skater 2 linear function in slope-intercept form, y = mx + b
Substitute m = 2 and b = 0 into y = mx + b
Linear function: y = 2x + 0
y = 2x
Answer:
1. ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y)
2. ∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)
Step-by-step explanation:
If we negate a quantified statement, first we negate all the quantifiers in the statement from left to right, ( keeping the same order ) then we negative the statement,
Here, the given statement,
1. ∃y ∈Z such that ∀x ∈Z, R (x + y)
By the above definition,
Negation of this statement is ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y),
2. Similarly,
The negation of statement ∀x ∈Z, ∃y∈Z such that R(x + y),
∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)
