Answer:
The probability that the sample mean will lie within 2 values of μ is 0.9544.
Step-by-step explanation:
Here
- the sample size is given as 100
- the standard deviation is 10
The probability that the sample mean lies with 2 of the value of μ is given as

Here converting the values in z form gives

Substituting values

From z table

So the probability that the sample mean will lie within 2 values of μ is 0.9544.
Answer:
Step-by-step explanation:
a). Ratio of OP and RT = 
= 
= 
b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.


OQ = 
OQ = 15 cm
c). m∠P = m∠T = 60°
d). m∠Q = m∠S
By applying angle sum theorem in ΔRST,
m∠R + m∠S + m∠T = 180°
26° + m∠S + 60° = 180°
m∠S = 180° - 86°
= 94°
Therefore, m∠Q = m∠S = 94°
The correct axis of symmetry is x = -1.
Explanation:
Our equation is

.
This is in vertex form, which is
y = a(x-h)² + k, where (h, k) is the vertex.
In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).
The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.
Answer:
392.1
Step-by-step explanation: just divide and round