Step-by-step explanation:
independent is questions answered correct
dependent is final test sore.
i think
Answer:
x = 42.5
Step-by-step explanation:
It is said:
If two angles are not corresponding, then they make up 180°. They are more known as supplementary angles.
So the equation is:
a + b = 180°
Substitute
x + 8 + 3 x + 2 = 180°
x + 3x + 8 + 2 = 180°
4x + 10° = 180°
4x = 180° - 10°
4x = 170°
x = 170° ÷ 4
x = 42.5
Answer:
80 km/hr
Step-by-step explanation:
0.5 hour = 30 min
40 km in 30 min
80km in 60 min
Answer:
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
Step-by-step explanation:
5z^2−9z=−7z−5
We need to get all the terms on one side (set the right side equal to zero)
Add 7z to each side
5z^2−9z+7z=−7z+7z−5
5z^2−2z=−5
Add 5 to each side
5z^2−2z+5=−5 +5
5z^2−2z+5=0
This is in the form
az^2 +bz+c = 0 so we can use the quadratic formula
where a = 5 b = -2 and c = 5
-b± sqrt(b^2-4ac)
-------------------------
2a
-(-2)± sqrt((-2)^2-4(5)5)
-------------------------
2(5)
2± sqrt(4-100)
-------------------------
10
2± sqrt(-96)
-------------------------
10
2± sqrt(16)sqrt(-1) sqrt(6)
-------------------------
10
2± 4i sqrt(6)
-------------------------
10
1/5 ± 2/5 i sqrt(6)
Splitting the ±
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
Answer:
Z score associated with sleeping 503 minutes = 0 minutes
Step-by-step explanation:
Given values of sleep per night for adults:
Mean value X = 503
Standard deviation σ = s
FInd:
Z score associated with sleeping 503 minutes
Computation:
⇒ P[X = 503]
⇒ P[(x - X) / σ] = [503 - 503] / s
⇒ Z score value = [0] / s
⇒ Z score value = 0
Z score associated with sleeping 503 minutes = 0 minutes