Answer:
x=8
y= 29
Step-by-step explanation:
corresponding angles are congruent
5x+9=4x+17
x=8
vertical angles are congruent
49=y+20
29=y
Answer:
a.(x+5)(x-5) b.(y+6)(y-6) c.(x-1)(x+13) d. (s+2)(s+5)
Step-by-step explanation:
Sorry no step for c and d
for a 25 is a perfect square 5*5=25 -5*5=-25
for b it's same
sorry I'm rushing
A relation is a function if & only if for each value of x we have (at the most) one & only one value of y.
In short if we have a repeat value of x that correspond to 2 different values of y then it's not a function but a relation instead
Let's take the 1st example:
x I y
---------I-------
1 I 2
3 I 2
3 I 3
4 I 2
We notice that there are 2 SAME VALUE of x (that is 3) that have various value of y, Hence this is not a function. Mind you this concerns x ONLY.
In short a function doesn't allow a repeat of same x.
Follow this methodology & you will find the other problems
Answer:
sorry for getting it wrong
Answer:
- 0.196 < μ < +0.196
Step-by-step explanation:
n = 100
σ = 1
X bar (x⁻) = 0
1 - ∝ =95%
μ = ?
= X bar (x⁻) ± Z ∝/₂ * σ/√n
Finding ∝:
To find ∝, we will convert the confidence interval i.e. 95% into decimal by dividing it with 100 and subtracting it from 1.
1 - ∝ = 95%
1 - ∝ = 95/100
1 - ∝ = 0.95
∝ = 1 - 0.95
∝ = 0.05 -----(1)
We have to calculate ∝/2 so dividing both sides of (1) with 2
∝/2 = 0.05/2
∝/2 = 0.025
We will find the value of 0.025 in z-table. The value is:
Z ∝/2 = 1.96
For further calculations, we will use the value of Z∝/2.
Putting all values in the formula.
= 0 ± 1.96 * 1 / √100
We can also write this in the following form:
0 - 1.96/ √100 < μ < 0 + 1.96 / √100
- 1.96 / 10 < μ < 1.96 / 10 ∴ √100 = 10
- 0.196 < μ < + 0.196